What Is the Equation of an Ellipse?

Ellipse with focal point and axes

Theory

The Ellipse

An ellipse consists of all points that have the same total distance to two given points, called focal points, or foci.

The following distances are important to describe an ellipse:

Semi-major axis ( $a$ ):

The greatest distance from the center of the ellipse to any point on the ellipse.

Semi-minor axis ( $b$ ):

The shortest distance from the center of the ellipse to any point on the ellipse.

Rule

The Standard Equation of an Ellipse

If both the focal points of an ellipse lie on the $x$ -axis equidistant to the origin, and you call the semi-major axis $a$ and the semi-minor axis $b$ , the standard equation for the ellipse is

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

A circle is a special case of an ellipse, where the focal points coincide and the semi-major and semi-minor axes are equal.

Example 1

Find the standard equation of an ellipse with a semi-major axis of $a = 5$ and a semi-minor axis of $b = 3$

\begin{array}{l} x 2 5^{2} + \frac{y^{2}}{3^{2}} = 1 \frac{x^{2}}{25} + \frac{y^{2}}{9} & = 1Example 2 Show that 9 x^{2} + 4 y^{2} - 36 = 0 is the equation of an ellipse To show that this equation represents an ellipse, you need to change it into the form of the standard equation of an ellipse. You can do that like this: \begin{array}{l} 9 x^{2} + 4 y^{2} - 36 & = 0 \\ 9 x^{2} + 4 y^{2} & = 36 & | \div 9 \\ x^{2} + \frac{4 y^{2}}{9} & = 4 & | \div 4 \\ \frac{x^{2}}{4} + \frac{y^{2}}{9} & = 1 \end{array} Because you’ve been able to change the expression into the form of the standard equation of an ellipse, you’ve shown that 9 x^{2} + 4 y^{2} - 36 = 0 is an ellipse with semi-minor axis a = \sqrt{4} = 2 and semi-major axis b = \sqrt{9} = 3 .Want to know more? Sign Up It's free!Previous entry What Are Ellipses?Go backHome All Math Games Statistics ChatAbout Us About House of Math Employees Career Media Lectures Blog Contact support@houseofmath.com Booking of private tutoring +47 22 150 300 Address Bygdøy allé 23
            0262 Oslo
            Norway FAQ Links WeTakeAction Math Magic for Ukraine Tutoring Video Crash Courses Junior Math Math Essentials Encyclopedia Language Norsk Українська Terms Privacy{"props":{"pageProps":{"campaign":false,"topic":{"isRootPath":false,"key":"content/en/encyclopedia/03 Geometry/01 Planar Figures/04 Circles/03 Ellipses/302EquationEllipse.tex","siblings":[{"h1":"What Are Ellipses?","path":"/encyclopedia/geometry/planar-figures/circles/ellipses/what-are-ellipses"},{"h1":"What Is the Equation of an Ellipse?","path":"/encyclopedia/geometry/planar-figures/circles/ellipses/what-is-the-equation-of-an-ellipse"}],"title":"What Is the Equation of an Ellipse?","h1":"What Is the Equation of an Ellipse?","image":{"dimension":"width","value":0.95,"url":"https://images.houseofmath.com/overleaf-assets/images/ellipseeng.svg","alt":"Ellipse with focal point and axes","_key":"03d87971-51a1-5976-96e3-12da29d60e82","type":"textwidth"},"previewUrl":"https://images.houseofmath.com/eyJrZXkiOiJvdmVybGVhZi1hc3NldHMvcHJldmlldy8zMDJlcXVhdGlvbmVsbGlwc2UucG5nIiwiYnVja2V0IjoiaG9tLWZyb250ZW5kLWFzc2V0cyIsInZlcnNpb24iOjN9","htmlContent":{"html":" \u003c/p\u003e\u003cp class=\"indent\" \u003e     \u003cdiv class=\"tight\"\u003e  \u003c/p\u003e \u003cdiv class=\"center\"  \u003e                                                                                                                                                                                                                                          \u003cp class=\"noindent\" \u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003e\u003cimg src=\"https://images.houseofmath.com/overleaf-assets/images/ellipseeng.svg\" alt=\"Ellipse with focal point and axes\" width=\"572\" height=\"572\"\u003e\u003c/p\u003e\u003c/div\u003e \u003cp class=\"noindent\" \u003e\u003c/div\u003e\u003cdiv class=\"wide\"\u003e\u003c/p\u003e \u003cdiv class=\"center\"  \u003e \u003cp class=\"noindent\" \u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003e\u003cimg src=\"https://images.houseofmath.com/overleaf-assets/images/ellipseeng.svg\" alt=\"Ellipse with focal point and axes\" width=\"451\" height=\"451\"\u003e\u003c/p\u003e\u003c/div\u003e \u003cp class=\"noindent\" \u003e\u003c/div\u003e \u003c/p\u003e      \u003cdiv class=\"tcolorbox fooinfo\" id=\"tcolobox-847\"\u003e     \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Theory\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003ch3 class=\"info-container-title\"\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eThe\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eEllipse\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003eAn \u003ca href=\"/encyclopedia/geometry/planar-figures/circles/ellipses\"\u003eellipse\u003c/a\u003e consists of all points that have the same total distance to two given points, called \u003cspan  class=\"ec-lmri-12x-x-144\"\u003efocal\u003c/span\u003e \u003cspan  class=\"ec-lmri-12x-x-144\"\u003epoints\u003c/span\u003e, or foci. \u003c/p\u003e\u003cp class=\"noindent\" \u003eThe following distances are important to describe an ellipse:         \u003c/p\u003e\u003cdl class=\"description\"\u003e\u003cdt class=\"description\"\u003e         \u003cp class=\"noindent\" \u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eSemi-major axis (\u003c/span\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ea\u003c/mi\u003e\u003c/math\u003e\u003cspan  class=\"ec-lmbx-12x-x-144\"\u003e):\u003c/span\u003e \u003c/p\u003e\u003c/dt\u003e\u003cdd  class=\"description\"\u003e       \u003cp class=\"noindent\" \u003eThe         greatest         distance         from         the         center         of         the         ellipse         to         any         point         on         the         ellipse.         \u003c/p\u003e\u003c/dd\u003e\u003cdt class=\"description\"\u003e         \u003cp class=\"noindent\" \u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eSemi-minor axis (\u003c/span\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003eb\u003c/mi\u003e\u003c/math\u003e\u003cspan  class=\"ec-lmbx-12x-x-144\"\u003e):\u003c/span\u003e \u003c/p\u003e\u003c/dt\u003e\u003cdd  class=\"description\"\u003e       \u003cp class=\"noindent\" \u003eThe         shortest         distance         from         the         center         of         the         ellipse         to         any         point         on         the         ellipse. \u003c/p\u003e         \u003cp class=\"noindent\" \u003e\u003c/dd\u003e\u003c/dl\u003e \u003c/p\u003e                                                                                                                     \u003c/div\u003e  \u003c/div\u003e                                                                                                                           \u003cdiv class=\"tcolorbox foorule\" id=\"tcolobox-848\"\u003e     \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Rule\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003ch3 class=\"rule-container-title\"\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eThe\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eStandard\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eEquation\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eof\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003ean\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eEllipse\u003c/span\u003e \u003c/h3\u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003eIf both the focal points of an ellipse lie on the \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/math\u003e-axis equidistant to the \u003ca href=\"/encyclopedia/functions/theory-of-functions/fundamentals-of-functions/what-is-a-coordinate-system\"\u003eorigin\u003c/a\u003e, and you call the semi-major axis \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ea\u003c/mi\u003e\u003c/math\u003e and the semi-minor axis \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003eb\u003c/mi\u003e\u003c/math\u003e, the standard \u003ca href=\"/encyclopedia/algebra/equations-and-inequalities/equations/linear-equations/what-is-an-equation\"\u003eequation\u003c/a\u003e for the ellipse is \u003c/p\u003e\u003ctable class=\"equation-star\"\u003e\u003ctr\u003e\u003ctd\u003e \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" class=\"equation\"\u003e                                                   \u003cmfrac\u003e\u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e  \u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ea\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e\u003c/mfrac\u003e \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmfrac\u003e\u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e  \u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003eb\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e\u003c/mfrac\u003e  \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e \u003c/math\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e  \u003c/div\u003e  \u003c/div\u003e                                                                                                                      \u003cp class=\"indent\" \u003e     A \u003ca href=\"/encyclopedia/geometry/planar-figures/circles/about-the-circle/what-is-the-circumference-and-area-of-a-circle\"\u003ecircle\u003c/a\u003e is a special case of an ellipse, where the focal points coincide and the semi-major and semi-minor axes are equal. \u003c/p\u003e      \u003cdiv class=\"tcolorbox fooqaexample\" id=\"tcolobox-849\"\u003e     \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Example 1\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003cb\u003e\u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eFind\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003ethe\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003estandard\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eequation\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eof\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003ean\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eellipse\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003ewith\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003ea\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003esemi-major\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eaxis\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eof\u003c/span\u003e \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmstyle mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold\"\u003e\u003cmi  \u003ea\u003c/mi\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eand\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003ea\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003esemi-minor\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eaxis\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eof\u003c/span\u003e \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmstyle mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold\"\u003e\u003cmi  \u003eb\u003c/mi\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003e \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" \u003e\u003cmtable  columnalign=\"left\" class=\"align-star\"\u003e                                        \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmfrac\u003e\u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e \u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmn\u003e5\u003c/mn\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e\u003c/mfrac\u003e \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmfrac\u003e\u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e  \u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmn\u003e3\u003c/mn\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e\u003c/mfrac\u003e\u003c/mtd\u003e                                                        \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                       \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-label\"\u003e                                        \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmfrac\u003e\u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e \u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e5\u003c/mn\u003e\u003c/mrow\u003e\u003c/mfrac\u003e \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmfrac\u003e\u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e   \u003cmrow  \u003e\u003cmn\u003e9\u003c/mn\u003e\u003c/mrow\u003e\u003c/mfrac\u003e \u003c/mtd\u003e                                       \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                       \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-label\"\u003e \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e \u003c/b\u003e                                                                                               \u003c/div\u003e  \u003c/div\u003e                                                                                                                           \u003cdiv class=\"tcolorbox fooqaexample\" id=\"tcolobox-850\"\u003e     \u003cdiv class=\"tcolorbox-title\"\u003e \u003cp class=\"indent\" \u003e     Example 2\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003cb\u003e\u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eShow\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003ethat\u003c/span\u003e \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmstyle mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold\"\u003e\u003cmn\u003e9\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e \u003cmo  class=\"MathClass-bin\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003cmn\u003e6\u003c/mn\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e0\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/math\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eis\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003ethe\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eequation\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eof\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003ean\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eellipse\u003c/span\u003e \u003c/p\u003e\u003cp class=\"noindent\" \u003e\u003c/b\u003e\u003c/p\u003e                                                                                               \u003cdiv class=\"lowerbox\"\u003e                                                                                                                                                                                                                                           \u003cp class=\"noindent\" \u003eTo show that this equation represents an ellipse, you need to change it into the form of the standard equation of an ellipse. You can do that like this: \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" \u003e\u003cmtable  columnalign=\"left\" class=\"alignat-star\"\u003e                                        \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmn\u003e9\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e \u003cmo  class=\"MathClass-bin\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003cmn\u003e6\u003c/mn\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e0\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                         \u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-even\"\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                               \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-label\"\u003e                                        \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmn\u003e9\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mtd\u003e                                              \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003cmn\u003e6\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                       \u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-even\"\u003e\u003cmspace width=\"1em\" class=\"quad\"/\u003e\u003c/mrow\u003e\u003cmo class=\"MathClass-close\" fence=\"true\" mathsize=\"1.19em\" \u003e|\u003c/mo\u003e\u003c/mrow\u003e \u003cmo  class=\"MathClass-bin\"\u003e÷\u003c/mo\u003e \u003cmn\u003e9\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                       \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-label\"\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                       \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-label\"\u003e                                        \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmfrac\u003e\u003cmrow  \u003e\u003cmn\u003e4\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e    \u003cmrow  \u003e\u003cmn\u003e9\u003c/mn\u003e\u003c/mrow\u003e\u003c/mfrac\u003e  \u003c/mtd\u003e                                               \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                         \u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-even\"\u003e\u003cmspace width=\"1em\" class=\"quad\"/\u003e\u003c/mrow\u003e\u003cmo class=\"MathClass-close\" fence=\"true\" mathsize=\"1.19em\" \u003e|\u003c/mo\u003e\u003c/mrow\u003e \u003cmo  class=\"MathClass-bin\"\u003e÷\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                       \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-label\"\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                       \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-label\"\u003e                                        \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmfrac\u003e\u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e  \u003cmrow  \u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/mrow\u003e\u003c/mfrac\u003e  \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmfrac\u003e\u003cmrow  \u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e\u003c/mrow\u003e   \u003cmrow  \u003e\u003cmn\u003e9\u003c/mn\u003e\u003c/mrow\u003e\u003c/mfrac\u003e \u003c/mtd\u003e                                                \u003cmtd  class=\"align-even\"\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                         \u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-even\"\u003e\u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e                                               \u003cmtd  columnalign=\"right\" class=\"align-label\"\u003e\u003c/mtd\u003e                                       \u003cmtd  class=\"align-label\"\u003e \u003cmspace width=\"2em\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e \u003cp class=\"noindent\" \u003eBecause you’ve been able to change the expression into the form of the standard equation of an ellipse, you’ve shown that \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmn\u003e9\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e \u003cmo  class=\"MathClass-bin\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmsup\u003e\u003cmrow  \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mrow\u003e\u003cmrow  \u003e\u003cmn\u003e2\u003c/mn\u003e\u003c/mrow\u003e\u003c/msup  \u003e \u003cmo  class=\"MathClass-bin\"\u003e−\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003cmn\u003e6\u003c/mn\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e0\u003c/mn\u003e\u003c/math\u003e is an ellipse with semi-minor axis \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ea\u003c/mi\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmsqrt\u003e\u003cmrow\u003e\u003cmn\u003e4\u003c/mn\u003e\u003c/mrow\u003e\u003c/msqrt\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003c/math\u003e and semi-major axis \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003eb\u003c/mi\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmsqrt\u003e\u003cmrow\u003e\u003cmn\u003e9\u003c/mn\u003e\u003c/mrow\u003e\u003c/msqrt\u003e \u003cmo  class=\"MathClass-rel\"\u003e=\u003c/mo\u003e \u003cmn\u003e3\u003c/mn\u003e\u003c/math type=\"punct\"\u003e. \u003c/p\u003e                                                                                                                     \u003c/div\u003e  \u003c/div\u003e  \u003c/div\u003e                                                                                                                      \u003cp class=\"indent\" \u003e     "},"breadcrumbs":[{"path":"/encyclopedia","h1":"Encyclopedia","_key":"c0cf1a4b-5f7d-5390-9a52-e6ae2428b50c"},{"h1":"Geometry","_key":"20426156-ae03-5b57-a367-dd3f5184f133","path":"/encyclopedia/geometry"},{"path":"/encyclopedia/geometry/planar-figures","h1":"Planar Figures","_key":"cbc8f010-4795-5801-97ad-13b89d47cb61"},{"path":"/encyclopedia/geometry/planar-figures/circles","h1":"Circles","_key":"1d77cfae-543b-5850-8157-34eb8da4c8cb"},{"path":"/encyclopedia/geometry/planar-figures/circles/ellipses","h1":"Ellipses","_key":"d75d095f-0a86-5957-80e7-a6037db46c19"},{"path":"/encyclopedia/geometry/planar-figures/circles/ellipses/what-is-the-equation-of-an-ellipse","h1":"What Is the Equation of an Ellipse?","_key":"d8cc679e-e0d1-57d9-86f3-c91ca8f95818"}],"taskReference":null,"locale":"en","language":"en","metaDescription":"Learn about the properties of the ellipse, the standard equation of the ellipse and how you can find the equation of the ellipse by reading this entry.","otherLocales":[],"path":"/encyclopedia/geometry/planar-figures/circles/ellipses/what-is-the-equation-of-an-ellipse","type":"encyclopedia","cssUrl":"/80bd8b3e-74e6-41e8-a473-0237fd221bbf-en-1.css"},"topicOverview":[{"h1":"Numbers and Quantities","path":"/encyclopedia/numbers-and-quantities","shouldRenderChildren":true},{"h1":"Algebra","path":"/encyclopedia/algebra","shouldRenderChildren":true},{"h1":"Geometry","path":"/encyclopedia/geometry","shouldRenderChildren":true,"children":[{"h1":"Planar Figures","path":"/encyclopedia/geometry/planar-figures","shouldRenderChildren":true,"children":[{"h1":"Concepts","path":"/encyclopedia/geometry/planar-figures/concepts"},{"h1":"Quadrilaterals","path":"/encyclopedia/geometry/planar-figures/quadrilaterals"},{"h1":"Triangles","path":"/encyclopedia/geometry/planar-figures/triangles","shouldRenderChildren":true},{"h1":"Circles","path":"/encyclopedia/geometry/planar-figures/circles","shouldRenderChildren":true,"children":[{"h1":"About the Circle","path":"/encyclopedia/geometry/planar-figures/circles/about-the-circle"},{"h1":"Attributes","path":"/encyclopedia/geometry/planar-figures/circles/attributes"},{"h1":"Ellipses","path":"/encyclopedia/geometry/planar-figures/circles/ellipses","children":[{"h1":"What Are Ellipses?","path":"/encyclopedia/geometry/planar-figures/circles/ellipses/what-are-ellipses"},{"h1":"What Is the Equation of an Ellipse?","path":"/encyclopedia/geometry/planar-figures/circles/ellipses/what-is-the-equation-of-an-ellipse"}]}]},{"h1":"Other Figures","path":"/encyclopedia/geometry/planar-figures/other-figures","shouldRenderChildren":true},{"h1":"Similar Figures","path":"/encyclopedia/geometry/planar-figures/similar-figures"},{"h1":"The Golden Ratio","path":"/encyclopedia/geometry/planar-figures/the-golden-ratio"}]},{"h1":"Geometric Constructions","path":"/encyclopedia/geometry/geometric-constructions","shouldRenderChildren":true},{"h1":"Solid Figures","path":"/encyclopedia/geometry/solid-figures","shouldRenderChildren":true},{"h1":"Trigonometry","path":"/encyclopedia/geometry/trigonometry","shouldRenderChildren":true},{"h1":"Perspective Drawing","path":"/encyclopedia/geometry/perspective-drawing"}]},{"h1":"Statistics and Probability","path":"/encyclopedia/statistics-and-probability","shouldRenderChildren":true},{"h1":"Functions","path":"/encyclopedia/functions","shouldRenderChildren":true},{"h1":"Proofs","path":"/encyclopedia/proofs"}],"previewTopics":[],"_nextI18Next":{"initialI18nStore":{"en":{"imageAlt":{"icons":{"houseOfMath":"Colorful House of Math logo","homShortLogo3D":"White H House of Math logo on multicolored square","chat":"Purple speech balloon chat icon","dashboard":"Purple dashboard icon represented as a browser window","exploreMobile":"Magnifying glass exploring planet Earth","menu":"Menu icon","logout":"Open door with a purple arrow for logging out","settings":"Purple gear icon for settings","search":"Magnifying glass for search function","language":"Language","norwegian":"Norsk","english":"English","ukrainian":"Українська","explore":"Magnifying glass closely exploring planet Earth","comingSoon":"Yellow hanging sign that reads Coming Soon","playButton":"Play button icon","activitySetIcon":"Activity set icon","adminPanel":"Purple control panel","arrowLeft":"White arrow pointing to the Left","arrowRight":"White arrow pointing to the right","allMath":"All Math","products":{"bootcamp":"Purple math kettlebell and gray dummbell","games":"Purple plus sign with video game controls on it","digitalTools":"Laptop and desklamp on purple desk with books and calculator","encyclopedia":"Encyclopedia volume with math symbols on pages","mathVault":"Purple bank vault with round, golden door","mathEssentials":"Black graduate's cap with a purple tassel","tutorOnDemand":"Bespectacled math expert wearing a purple tie","studyTips":"Yellow math study tips lightbulb","exams":"Purple examination book with right and wrong answer"},"gemstoneOutlineWhite":"Outline of gemstone in white","facebook":"Facebook icon","google":"Google icon","mail":"Email icon","tiktok":"TikTok icon","stars":"Stars","reviewFrom":"Review from {{ name }}","quotationMark":"Quotation Mark","home":"Home icon","leagues":"Leaderboard icon","space":"Dashboard icon","icon":"icon"},"emralGem":"Sparkling green emerald","rubyGem":"Shining red ruby","diamondGem":"Sparkling blue-white diamond","spriteSheet":"Treasure chest","loginBeanstalk":"Sing-In Sign-Up Bean Stalk","streakFlame":"Streak Flame","homBeanstalk":"House of Math Bean Stalk","ribbon":"Ribbon","badge":"Badge","badgeShield":"Badge Shield","multMasterLogo":"Multiplication - The Championship","numberLineIncreasing":"Number line increasing","rightArrow":"Right arrow","timesIcon":"Times icon","purpleUpwardsArrow":"Purple upwards arrow","avatarFrame":"Avatar frame"},"footer":{"about":"About Us","aboutHoM":"About House of Math","aboutTeam":"Employees","blog":"Blog","bootcamps":"Video Crash Courses","career":"Career","contact":"Contact","cookies":"Cookies","encyclopedia":"Encyclopedia","lectures":"Lectures","links":"Links","mathEssentials":"Math Essentials","mathVault":"Junior Math","mathMagic":"Math Magic for Ukraine","media":"Media","norway":"Norway","privacy":"Privacy","pricing":"Pricing","terms":"Terms","tutoring":"Tutoring","weTakeAction":"WeTakeAction","upgrade":"Upgrade Now","bookingOfPrivateTutoring":"Booking of private tutoring","address":"Address"},"generics":{"active":"Active","add":"Add","addComment":"Add comment","admin":"Admin","adminPanel":"Admin Panel","administration":"Administration","afternoon":"Afternoon","apply":"Apply","appointments":"Appointments","avatar":"User avatar","ariaLabelButtons":{"adjustSliderToMatchFraction":"Adjust slider to match fraction","backToBootcamp":"Back to bootcamp","checkBox":"Check box","clear":"Clear","closeWindow":"Close window","closeChatWindow":"Close chat window","collapseSessionDetails":"Collapse session details","copyToClipboard":"Copy to clipboard","decimalMark":"Decimal mark","expandSessionDetails":"Expand session details","expandDropdownMenu":"Expand dropdown menu","info":"Info","insertArea":"Insert area","insertDecimalValue":"Insert decimal value","insertCarriedNumber":"Insert carried number","insertCoefficientValue":"Insert coefficient value","insertCommonFactor":"Insert common factor","insertDenominator":"Insert denominator","insertFactor":"Insert factor","insertLatticeSum":"Insert lattice sum","insertNumberOfEdges":"Insert number of edges","insertNumerator":"Insert numerator","insertOne":"Insert ones","insertPrimeFactor":"Insert prime factor","insertProduct":"Insert product","insertResult":"Insert result","insertSimplifiedExpression":"Insert simplified expression","insertSum":"Insert sum","insertTen":"Insert tens","insertTerm":"Insert term","insertValue":"Insert value","reset":"Reset","reload":"Reload","removeFromSearchHistory":"Remove from search history","submit":"Submit"},"back":"Back","backButton":"Back Button","backTo":"Back to {{ pageTitle }}","bean":"Beanstalk","blog":"Blog","book":"Book","bookAgain":"Book again","cancel":"Cancel","chat":"Chat","checkAnswer":"Check answer","city":"City","claim":"Claim","clickHere":"Click here","close":"Close","code":"Code","comingSoon":"Coming soon","condense":"Condense","confirm":"Confirm","continue":"Continue","copied":"Copied","correct":"Correct","countryCode":"Country code flag","incorrect":"Incorrect","currency":"Currency","date":"Date","daysShort":{"fri":"Fr","mon":"Mo","sat":"Sa","sun":"Su","thu":"Th","tue":"Tu","wed":"We"},"digital":"Digital","edit":"Edit","email":"E-mail","erase":"Erase","expand":"Expand icon","reset":"Reset","evening":"Evening","excellent":"Excellent","facebookEmail":"Facebook e-mail","finished":"Finished","from":"From","funFact":"Fun Fact","getFullAccessNow":"Get full access now","go":"Go","goTo":"Go to","goToHomebase":"Space","good":"Good","gradientColorCircle":"Gradient color circle","hour":"Hour","hours":"Hours","hoursAbbr":"H","icon":"Icon","inactive":"Inactive","language":"Language","lastSession":"Last session","later":"Later","leafAlt":"Green leaf","log":"Log","logIn":"Log in","goToDashboard":"Go to dashboard","mathMaster":"Math Master","subscribe":"Subscribe","tutor":"Tutor","tutorChatPanel":"Tutor Chat","tutorOnDemand":"Tutor-on-Demand","mentorPanel":"Tutor Panel","tutors":"Tutors","message":"Message","minutes":"Minutes","monthsLong":{"apr":"April","aug":"August","dec":"December","feb":"February","jan":"January","jul":"July","jun":"June","mar":"March","may":"May","nov":"November","oct":"October","sep":"September"},"moreInformation":"More information","morning":"Morning","name":"Name","neutral":"Neutral","next":"Next","nextQuestion":"Next question","nextSession":"Next session","no":"No","noTutors":"No tutors","observe":"Observe","ok":"Ok","openSession":"Open session","or":"Or","orderDate":"Order date","orderId":"Order ID","person":"Person","phoneNumber":"Phone number","play":"Play","playAlt":"Play","poor":"Poor","previous":"Previous","price":"Price","product":"Product","purchasedAt":"Purchased at","purpleCheckIcon":"Purple check icon","scheduledAt":"Scheduled at","readMore":"Read more","receipt":"Receipt","resetButton":"Reset button","role":"Role","save":"Save","seeMore":"See more","send":"Send","sessionStatus":"Session status","showAll":"Show all","showingAllFromAndIncluding":"Showing all from and including {{ date }}","signUp":"Sign up","signUpFree":"Sign up for free","skill":{"average":"Average","strong":"Strong","veryStrong":"Very strong","aBitWeak":"A bit weak","weak":"Weak"},"skip":"Skip","startTime":"Start time","status":"Status","stay":"Stay","student":"Student","studentPanel":"Student Panel","studentPanelToolTipContent":"Student Panel with a Full Overview of Your Activities. When you book a tutor or participate in a video chat with a tutor, you get access to your private student panel.","students":"Students","subTotal":"Product price","subjects":{"biology":"Biology","chemistry":"Chemistry","economy":"Economy","finance":"Finance","math":"Math","other-subjects":"Other subjects","physics":"Physics","statistics":"Statistics"},"tellMeHow":"Tell me how","terrible":"Terrible","thanks":"Thanks","time":"Time","to":"To","total":"Total","travelExpense":"Travel expense","tryAgain":"Try again","tutoring":"Tutoring","update":"Update","updateSuccess":"Update successful","user":"User","videoChat":"Video Chat","videoChatTutorPanel":"Video Chat Tutor Panel","week":"Week","yes":"Yes","emptyGem":"Empty gem","filledGem":"Filled gem","studentHistory":"Student History","studentSettings":"Student Settings","last_item":"add above this","userId":"User ID","privacyUpdated":"\u003cred\u003eAttention:\u003c/red\u003e Our Privacy Policy has been updated. Please review it for changes.","bookTutor":"Book Tutor","popUpCouponUpdated":"\u003cred\u003eImportant Update:\u003c/red\u003e Beginning on November 16th, House of Math will introduce a subscription version. To express our gratitude for your continued support and patience, we want to offer you the first month at an exclusive rate of just 5 NOK!","norwegianCouponUpdated":"Get your \u003csemiBold\u003efirst month\u003c/semiBold\u003e for just \u003csemiBold\u003e5 Kr\u003c/semiBold\u003e as a huge thank you for your amazing support!\u003csuccessImage /\u003e \nSubscribe now!","bigNewsAlert":"BIG NEWS ALERT!","subscriptionText":"House of Math has introduced a subscription version","firstMonth":"First month","percentageOff":"90% off","fiveKr":"5 Kr","couponUpdated":"Get \u003csemiBold\u003e90% off your first month \u003c/semiBold\u003e as a huge thank you for your amazing support!\u003csuccessImage /\u003e \nSubscribe now!","notNow":"Not now","getMyOffer":"Get my offer","streak":"Streak"},"errors":{"chooseAtLeastOneValue":"Choose at least one value","fieldRequired":"Field required","incorrect_password":"Wrong password","invalid_email":"Please give a valid email","noUser":"Don't have an account?","passwordIncorrect":"Wrong password","unknown":"Something went wrong. We are working on a solution. Try again later.","userDoesNotExist":"There are no users with this email address","emailInUse":"The provided email address is already in use","emailInvalid":"The provided email address is invalid","authErrors":"authErrors group","email_validation_invalid":"Link invalid","email_validation_expired":"Link expired","write-above-this-line":"write above this line"},"campaign":{"pageTitles":{"landingPage":"Back to school offers"},"metaDescriptions":{"landingPage":"Back to school offers campaign"},"title":{"studyTips":"Free study tips","tutorOnDemand":"Chat with a Math Tutor 24/7 for free"},"tutorPackage":{"hours_4":"4 hours private tutoring","hours_8":"8 hours private tutoring","hours_16":"16 hours private tutoring"},"subtitle":"Sign up for free instant access","alreadyHaveAccount":"Already have an account?","accessWithEmail":"Continue with Email","accessWithGoogle":"Continue with Google","accessWithFacebook":"Continue with Facebook","accessWithTiktok":"Continue with TikTok"},"common":{"userTypes":{"pupil":"Pupil","student":"Student","teacher":"Teacher","parent":"Parent","grandparent":"Grandparent","enthusiast":"Enthusiast","other":"Other","pupilDescription":"Pupil","studentDescription":"Student","teacherDescription":"Teacher","parentDescription":"Parent","grandparentDescription":"Grandparent","enthusiastDescription":"Enthusiast","otherDescription":"Other"},"gradeLevels":{"1":"1st grade","2":"2nd grade","3":"3rd grade","4":"4th grade","5":"5th grade","6":"6th grade","7":"7th grade","8":"8th grade","9":"9th grade","10":"10th grade","11":"11th grade","12":"12th grade","13":"11th grade","14":"12th grade","15":"13th grade","16":"12th grade","17":"13th grade","noGrade":"No grade"},"submit":"Submit","last_item":"add above this"},"bootcamp":{"activityPage":"Activity","algebra":"Algebra","avatarAlts":{"vibeke":"Vibeke's avatar in a circle","jaggesher":"Jaggesher's avatar inside a circle","jarle":"Avatar for Jarle inside a pink circle","mari":"Mari's avatar in a colorful circle","monir":"Avatar for Monir within an orange circle","truc":"Avatar for Truc"},"backToBootcamp":"Back to bootcamp","backToOverview":"Back to overview","backToLearningPath":"Back to learning path","bootcampWarningMessageCorrFactor":"Expanded by the correct factor","bootcampWarningMessageCorrFraction":"Written the correct fraction","bootcampWarningMessageCorrMult":"Multiplied the numbers correctly","bootcampWarningMessageSameFraction":"Expanded by the same factor above and below","bootcampWarningMessageTitle":"Something went wrong here, make sure you have:","categorySubtitle":"These are the main topics you can work on","chatWithTeacher":"Chat with a Tutor","comingSoon":"Coming soon","completed":"Completed","continue":"Continue","congratulations":"Congratulations!","continueCurrent":"Continue with this activity set","stay":"Stay","correct":"Correct","earnedGems":"Earned gems","functions":"Functions","feedback":{"select-correct":"Only select the correct alternatives","select-all-correct":"Select all correct alternatives","select-only-correct":"Only select the correct alternatives"},"gems":"Gems","geometry":"Geometry","goNextActivity":"Go to next activity set","goToActivitySet":"Go to Activity Set","gotoBootcamp":"Go to bootcamp","gotoSubjectOverview":"Go to subject overview","gymsHint":"Please pick whatever topic you would like to work on. If you are unsure follow the number path","headingAlgebra":"Subjects in Algebra","headingGeometry":"Subjects in Geometry","headingNumbersAndQuantities":"Subjects in Numbers and Quantities","headingStatisticsAndProbability":"Subjects in Statistics and Probability","headingFunctions":"Subjects in Functions","headingProofs":"Subjects in Proofs","help":"Help","how":"How?","howPage":"How","howTitle":"How...","if":"If","ifYouKnowthat":"If you know that","inProgress":"In progress","interactiveTasks":"Interactive tasks","level":"Level","levels":"levels","limitedFreePromo":"Free for a limited time","metaDescriptionBootcampCategory":"Online math courses with animated instructional videos and interactive problem solving. Learn the K-12 curriculum in a fun, gamified and easy to understand way.","metaDescriptions":{"numbers-and-quantities":"Online math courses in arithmetic and number sense with animated instructional videos and interactive problem solving. Learn in a fun, easy and gamified way.","algebra":"Online math courses in algebra. Learn about variables, equations and inequalities through animated educational videos and interactive exercises in a fun way.","geometry":"","functions":"","proofs":"","statistics-and-probability":""},"module":"Module","needHelp":"Do you need more help?","next":"Next","numbersAndQuantities":"Numbers and Quantities","overview":"Overview","possibleActivityGems":"You have earned all possible gems for this activity set","possibleLevelGems":"You have earned all possible gems for this level","prerequisites":"Prerequisites","privateTutoring":"Private Tutoring","proofs":"Proofs","questions":"Tasks","quit":"Quit","readMore":"Read more","retake":"Retake","start":"Start","statisticsAndProbability":"Statistics and Probability","then":"Then","thenWhatIsMissingHere":"Then what is missing here?","title":"Video Crash Courses in Math | Interactive Exercises","tryAgain":"Try again","tutoring":"Tutoring","understood":"Understood","usefulWords":"Useful Words","otherResources":"Other resources","videoAndActivities":"Videos \u0026 Activities","menu":"Menu","video":"Video","videos":"Videos","activity":"Activity","videoChatTutor":"Video Chat with Tutor","why":"Why?","whyPage":"Why","whyTitle":"Why...","wrong":"Wrong","signs":{"division":"÷","decimal":"."},"imageAlts":{"headerVineTablet":"Green beanstalk vine stretching from left to right","purpleArrowLeft":"A small purple bracket pointing to the left","greenLeaf":"Leaf","greenCheckMark":"Green checkmark","zoomInButton":"Zoom in button","zoomOutButton":"Zoom out button","closeButton":"Close button"},"upcomingTagAlt":"Purple sign hanging on a nail that reads Coming Soon","badgeAltText":"badge","fractions":{"number_placed_in":"The number {{ value }} is placed in","numerator":"Numerator","denominator":"Denominator","illustrated":{"how_many":"Write the number of {{ item }} in the numerator, and the total number of {{ group }} in the denominator.","group":{"marbles":"marbles","balls":"balls","cubes":"cubes","animal":"animals","houses":"houses"},"item":{"redHouses":"red houses","blueHouses":"blue houses","redCubes":"red cubes","blueCubes":"blue cubes","redMarbles":"red marbles","blueMarbles":"blue marbles","basketballs":"basketballs","footballs":"footballs","dogs":"dogs","cats":"cats"}},"properFraction":"Proper fraction","improperFraction":"Improper fraction","mixedFraction":"Mixed fraction","largest":"largest","smallest":"smallest","comparing_text":"Click on the {{ largestSmallest }} fraction","undefined":"undefined","comparing_figure":"Click on the figure representing the {{ largestSmallest }} fraction","yes":"Yes","no":"No"},"geometryActivities":{"line":"Line","ray":"Ray","line_segment":"Line segment"},"subject":"subject","subjects":"subjects","headingCategories":"Video Topics","helpContents":{"categories":"Watch animated videos and solve interactive exercises about central subjects in math.","algebra":"Watch animated videos and solve interactive exercises about central subjects in algebra.","geometry":"Watch animated videos and solve interactive exercises about central subjects in geometry.","numbersAndQuantities":"Watch animated videos and solve interactive exercises about central subjects in numbers and quantities.","statisticsAndProbability":"Watch animated videos and solve interactive exercises about central subjects in statistics and probability.","functions":"Watch animated videos and solve interactive exercises about central subjects in functions.","proofs":"Watch animated videos and solve interactive exercises about central subjects in proofs."},"valueOf":"The value of {{variable}} is {{value}}","previous":"Previous","activities":"Activities","activitySet":"Activity Set","activitySets":"Activity sets","new":"New","updated":"Updated","availableInEn":"Available in English","onlyInEn":"Only in English","noOfBootcamp":"video course","videoGenre":"Educational \u0026 Mathematics","youGot":"You got","onYourBestAttempt":"on your best attempt","nextLevel":"Next level","menuBossBattle":"Boss Battle","retakeActivitySet":"Retake the activity set","greatJobRetakeActivity":"Great job! Do you wish to retake or go to next?","mathTopics":"All Math","topicVideoActivityCount_zero":"{{noOfWatchedVideos}}/{{count}} Video \u0026 {{noOfActivities}} Activity sets","topicVideoActivityCount_one":"{{noOfWatchedVideos}}/{{count}} Video \u0026 {{noOfActivities}} Activity sets","topicVideoActivityCount_other":"{{noOfWatchedVideos}}/{{count}} Videos \u0026 {{noOfActivities}} Activity sets"},"subscription":{"page":{"title":"Subscribe","subscribeNow":"Subscribe now","unlockFull":"Unlock full access!","metaDescription":"Easy, fast and effective ways to improve your math grades. Learn math quick and easy. Subscribe now to access our video crash courses and grow your math skills."},"header":{"title":"Learn math smarter and easier","joinToGetAccess":"Join to get access","login":"Log in","buyNow":"Buy now","joinNow":"Join now","homTeam":"House of Math Team","freeTrial":"Free Trial","basic":"Basic","priceStartsFrom":"Price starts from"},"pricing":{"productTitleYearly":"Year","productTitleMonthly":"Month","regularBilling":"Billed on a regular basis","title":"Get a better math grade","subTitle":"From ages 6 to 100+","month":"month","free":"Free","signUpForFree":"Sign up for free","continueForFree":"Continue for free","joinNow":"Join now","startNow":"Start now","changePlan":"Change plan","currentPlan":"Current plan","upgrade":"Upgrade","recommended":"Recommended","getAccessTo":"Get access to","signUp":"Sign up","cancelAnytime":"Cancel any time","couponPeriodPlural":"for {{ durationInMonths }} months, then","couponPeriodSingular":"for 1 month, then","couponOnce":"first {{ interval }}, then","afterTime":"Then","freeTrialPeriodSingular":"1 day free, then","freeTrialPeriodPlural":"{{ freeTrialPeriod }} days free, then","seeMore":"See More","close":"Close","showAllPackages":"Show all packages","showLessPackages":"Show less packages","textYearly":"{{ price }} {{currencyIcon}} charged yearly"},"product":{"title":"Get your own personalized learning path","faq":"FAQ","faqLogo":"FAQ logo","products":{"videoCourses":{"title":"Your path to mastering math","tagline":"Video Crash Courses","text":"Digital courses with instructional videos and interactive problem solving"},"keepTrack":{"title":"Keep track","tagline":"Statistics panel","text":"Your own statistics panel to keep track of your progress"},"unlimitedQuestions":{"title":"Unlimited questions ","tagline":"24/7 math chat","text":"Ask our tutors unlimited questions in our math chat"},"excercises":{"title":"Everything you need in one place","tagline":"Exercises","text":"Gain access to the full K-12 curriculum"}}},"checkout":{"title":"Subscription checkout","metaDescription":"Checkout"},"success":{"confirmation":"Confirmation","title":"Success","metaDescription":"Success","date":"Order date","confirmationNumber":"Confirmation number","welcome":"Welcome to","fullAccess":"You now have access at House of Math!","notSureToStart":"Not sure where to start?","tryMappingQuiz":"Take the mapping quiz.","mappingQuizButton":"Take mapping quiz","backToUrl":"Back to where you left off","yourSubscriptionPackage":"Your subscription package","trialPeriodEndsOn":"Trial period ends on","packageUpgraded":"Package upgraded","packageChanged":"Package changed","checkmark":"Checkmark logo"},"paymentFailed":{"uh-oh":"UH-OH!","somethingWentWrong":"Something went wrong","message":"We aren't able to process your payment. Please try again.","buttonGoBackToBooking":"Go back"},"paymentPending":{"title":"Payment processing","message":"Your payment is being processed","messageEmailSent":"A confirmation e-mail will be sent to \u003cemail\u003e{{email}}\u003c/email\u003e"},"modal":{"title":"Upgrade for unlimited learning","text":"Uh-oh! This area is for subscribers only 🔑 Want access to all areas? Subscribe today and get unlimited learning.​","button":"Get unlimited access","freeVersion":"Continue to use free version"}},"chat":{"expressionError":"Something went wrong with this expression","header":"Chat with Tutor","infoBox":"Hello! \u003cbr\u003e\u003cbr\u003e Please pose your math questions here. We may not be able to answer questions about university level math.","infoBoxEnd":"This chat service is free for a limited time only. The chat is only available in English.","infoBoxItem1":"1. Formulate a specific problem.","infoBoxItem2":"2. Provide all details.","infoBoxItem3":"3. Describe what you’ve tried.","infoBoxList":"Tips for getting help as quickly as possible:","infoMessage":"Pose a question to a tutor, we'll reply as quickly as we can.","tutorChat":{"alreadyClaimed":"Someone claimed this chat before you.","chatHeader":"User ID {{userId}}","claimThread":"Claim Chat","claimWarning":"By Claiming this chat, you are the one that will answer it. It is your responsibility to give a complete answer.","end":"End Chat","endWarning":"When you end the chat, you can`t answer this person anymore.","listActiveChat":"My Active Chats","listHeader":"Messages","listQueue":"Queue","noActiveChat":"You have no active chats","noNewMessages":"There are no new messages","offline":"Offline","online":"Online","onlineStatus":"Online Status"},"newMessage":"Pose your question here","noTeachersAvailable":"There are no tutors available at the moment","onlineTeachers":"Tutors online","openingHours":"Open 24/7 \u003cbr\u003e Chat in English","receivedMessage":"We have received your message and will reply as soon as possible!"},"chatAi":{"consentText":"Hey! I'm Oracle, your math AI. I'm here to help you learn math.","ctaAsk":"Go to the Oracle","ctaLearningPath":"Go to learning path","askHelp":"How can I help you?","networkError":"Sorry, something went wrong. Please try agin later.","unauthorizedError":"Unauthorized","rateError":"Uh-oh! Looks like you've used up your daily quota. Upgrade to continue.","rateErrorSubscribed":"Looks like the Oracle is in high demand right now. Check back later.","exitOracle":"Exit","placeholder":"Ask me about math...","subscribe":"Subscribe"},"userFeedback":{"imageAlt":{"veryDissatisfied":"Very Dissatisfied","dissatisfied":"Dissatisfied","neutral":"Neutral","satisfied":"Satisfied","verySatisfied":"Very Satisfied","placeHolder":"Select a rating","close":"close","feedbackButton":"Give feedback"},"header":"Got any feedback?","commentBox":"Write your comment here (optional)","feedbackButtonText":"Feedback","sendButtonText":"Send","errorMessage":"Something went wrong"},"gemShop":{"buyNow":"Buy now","comingSoon":"Coming soon","itemTypes":{"chest":"Chest","head":"Head","neck":"Neck","hats":"My headwear","jewelry":"My jewelry","clothes":"My clothes","special":"Special"},"menu":{"pet":"Pet items","featured":"Featured"},"noGems":"Need more gems","owned":"Owned","store":"Store","tier":"Tier","upgrade":"Upgrade","upgradeTypes":{"productionRelativeIncrease":"Gem boost +{{value}}%","productionAbsoluteIncrease":"Gem boost +{{value}}","tickRateIncrease":"Timer speed {{value}}x","energyCapacityIncrease":"Kudos capacity +{{value}}"},"unlockRank":"Dragon Rank {{rank}}","rankUp":"Rank up your dragon to unlock this item","padlockAlt":"Padlock","allItems":"All Items"},"homebase":{"mainView":"Main","dragonView":"Dragon","storeView":"Store","cavern":"Dark Cavern","checkBaseForQuests":"Check out your learning path","chestText":"This is your base. Return here to view math tasks and updates for your mathematics journey. Out there you'll find things such as this:","chestTitle":"Welcome!","close":"Close","collection":"My Collection","collectionList":{"allItems":"All Trophies","allRewards":"All rewards","bootcamps":"Video Crash Courses","competition":"Competition","mathdrill":"Math Essentials","mathEssentials":"Math Essentials"},"collectionShowcase":{"bootcamp":"Video Crash Courses","gathered":"Gathered","championship-2021":"Multiplication Championship 2021"},"weExchange":"We exchange","completed":"Completed","rankPopupTitle":"New XP level-up system!","rankPopupText":"You can earn XP by doing activities in the portal. Reaching the XP threshold will make you level up.","dummyData":{"mult":{"title":"Multiplication","description":"What is Multiplication?"},"algebra":{"title":"Algebraic expressions","description":"Elementary Algebra"}},"event":{"checkQuest":"I have read and understood","INTRO":{"dialogue":[{"text":"This is your base. Here you will receive messages and challenges while you collect treasures and rewards during your journey through the world of mathematics.","title":"Welcome home"}]}},"findYourLearningPath":"Find your learning path, create an avatar and get a pet dragon!","gemBlueAlt":"Sparkling blue-white diamond","gemGreenAlt":"Sparkling green emerald","gemRedAlt":"Shining red ruby","gotoavatarpage":"Go to avatar","Home":"Homebase","homebasepage":"Start Base:","imageAlt":{"goldenHex":"Golden hexagon","levelBadge":"Level badge"},"introText":"You're exactly the hero we're looking for. We'll return to that. Let me show you around first.","introTitle":"Good start!","kudos":"Kudos","level":"Level","levelUp":"Level up","navbarIcon":"Space","next":"Next","shadow":"Shadow","playerName":"Player name...","questCompleted":"Math Task Completed!","questDescriptions":{"bootcamp":"Explore the \u003cb\u003e{{BootcampTitle}}\u003c/b\u003e bootcamp and defeat the boss!","essential":"Complete the Math Essential to prove your skills!","encyclopedia":"Read and understand \u003cb\u003e{{EncyclopediaArticle}}\u003c/b\u003e and tick the checkbox!"},"quests":"My Math Task","mathQuests":"Math Tasks","completedMathQuests":"Completed Tasks","completeQuestsToSee":"Complete your tasks to see them here","questText":"Take the mapping quiz to get your custom math journey","quiz":{"advancedQuizText":"To get more math tasks, pick the subjects that you would like to learn more about!","advancedQuizTitle":"Good work!","applyText":"You obviously know a lot about math! If you want to join the House of Math team, please apply \u003clinkToCareers\u003ehere\u003c/linkToCareers\u003e.","awardTitle":"We gamify your experience","awardTitleSubtext":"On the journey, you will find reward chests like this","awesome":"Awesome!","buttonTakeQuiz":"Take quiz","creatingYourLearningPath":"Creating your learning path...","learningPath":"Creating your learning path","subjectKnowledgeRating":{"0":"Poorly","1":"A bit poorly","2":"Neutral","3":"Well","4":"Very well"},"title":"For effective learning, take the quiz!","titleSubtext":"Take this quiz to find out where to start.","yesNoQuestionTitle":"Have you ever worked on \u003clowercase\u003e{{ subject }}\u003c/lowercase\u003e?"},"retakeQuiz":"Retake Quiz","reward":"Reward","storyCards":{"buttonCool":"Cool!","buttonIWill":"I will!","buttonJump":"Jump","buttonLetUsTry":"Let us try!","buttonNice":"Nice!","buttonOfCourse":"Of course!","buttonOh":"Oh!","buttonPeekaBoo":"Peeka Boo","buttonRoar":"Roar","buttonThanks":"Thanks!","buttonWow":"Wow!","buttonYes":"Yes!","ChoosePetTrick":"Your dragon is ready to learn a new trick! Pick one of the three below!","ChooseYourEgg":"Look, someone has left a gift for you!","CoolDown":"You need to wait a while before you can give Math Energy again! Use your time to collect more Energy Orbs from the Math Essentials!","CoolDownFirstTime":"Your Egg is full, and you need to wait a while before you can give more Math Energy! Use your time to collect more Math Energy from the chests in Math Essentials!","DoNotHaveEnoughMnO":"You do not have any more Kudos! Do math tasks to gather more!","DragonFull":"Your dragon is full! Wait a while before giving more Kudos.","DragonTrickCooldown":"You dragon is tired after training for the new trick. Give it some rest before trying again!","DragonTrickNotWilling":"You dragon doesn't want to train until it's happy and fed!","DragonTutorial1":"Keep your dragon healthy by feeding it Kudos!","DragonTutorial2":"Rumors say that if you keep your dragon healthy for a while, they might learn new tricks!","DragonTutorial3":"Dragons also need affection! Pet your dragon regularly!","DragonTutorial4":"Nice! Your dragon is happy! Continue to give it affection every day!","EggHasBeenChosen":"Eggcellent choice! Let's place the egg safely in your base. Can we make it hatch?","EggHungry1":"Hmm... Your egg seems hungry!","EggHungry2":"Here take this Kudos!","EggHungry3":"Try feeding Kudos to the egg by clicking on it!","EggInfoStillHatching":"Your egg is currently hatching! However, you need to feed it more Kudos!","EggIsAboutToHatch":"Incredible! You now have got a dragon in your base!","FeedMathEnergyToEggFirstTime":"Try feeding Kudos to the egg by clicking on it!","FirstTimeGettingMathEnergyFromChest":"Cool! You discovered your first Kudos! Give it to your egg in the Base!","GiveDragonName":"Type in your dragon's name or simply press OK.","InfoAboutPetTrick":"Your dragon is willing to learn when it's fully fed and happy!","MathEnergyTutorial1":"You need to feed enough Kudos to the egg in order to make it hatch.","MathEnergyTutorial2":"Do math tasks in order to find more Kudos!","NextHatchingState1":"Wow! Look! Your egg looks different now!","NextHatchingState2":"Your egg has hatched some more! Wonder what's inside...","NextHatchingState3":"Just a little bit more... Your egg is hatching soon!","TimesTableCompetition2021FirstPlace":"Congratulations on winning the 2021 Times Tables Competition! Claim your unique trophy to add it to your collection.","TimesTableCompetition2021Participant":"Amazing job! Your earned this trophy by participating in the 2021 Times Tables Competition.","TimesTableCompetition2021SecondPlace":"Congratulations on 2nd place in the 2021 Times Tables Competition! Claim your unique trophy to add it to your collection.","TimesTableCompetition2021ThirdPlace":"Congratulations on 3rd place in the 2021 Times Tables Competition! Claim your unique trophy to add it to your collection."},"space":"Space","takeTheQuiz":"Take the quiz to unlock your Home!","tooltip":{"videoCourse":"Video Crash Course","encylopedia":"Encyclopedia","mathEssential":"Math Essential","description":{"videoCourse":"Watch videos, do activities and defeat the boss","encylopedia":"Read and understand, then tick the checkbox.","mathEssential":"Complete the Math Essential to prove your skill!"}},"titles":{"houseOfMathMember":"House of Math Member","mathApprentice":"Math Apprentice","mathemagician":"Mathemagician","mathJunior":"Math Junior","mathlete":"Mathlete","mathScholar":"Math Scholar","mathSorcerer":"Math Sorcerer"},"unlockYourHomebase":"Log in or sign up to unlock your dashboard, where you can create your personalized learning path, see your XP and rewards, access your Space and much more!","updateQuests":"Update math tasks","xp":"XP","open":"Open","removeTask":"Remove From Learning Path","cancel":"Cancel","rank":"Rank","leagueNavButton":"League","menuLabel":"Menu"},"menu":{"bootcamp":"Video Crash Courses","dashboard":"Home","digitalTools":"Digital Tools","drillhefter":"Math Essentials","encyclopedia":"Encyclopedia","exams":"Eksamensoppgaver","exitPreview":"Exit preview","games":"Games","logOut":"Log Out","login":"Log in","mathEssentials":"Math Essentials","mathVault":"Junior Math","register":"Sign up","settings":"Settings","studyTips":"Study Tips","toggleNavigationMenu":"Toggle navigation menu","tutors":"Tutor-on-Demand","daysStreak":"{{days}} day streak"},"navbar":{"explore":"Explore","menu":"Menu","panelAdmin":"Admin Panel","panelTutor":"Tutor Panel","panelStudent":"Student Panel","search":"Search","languages":"Languages","norwegian":"Norsk","english":"English","ukrainian":"Українська","settings":"Settings","logOut":"Log Out","dashboard":"Home","chat":"Chat","userProfile":"Profile","leaderboard":"Leagues"},"notFound":{"clickOne":"Click the one that needs to be fired","fire":"Fire","goDashboard":"Go to Dashboard","pageNotFound":"Page not found","pageRemoved":"Page removed","punishDevs":"Our development team must be punished for this huge failure","employeesOnLunchBreak":"It seems our employees have taken a lunch break. We’ll be back soon!"},"search":{"adaptedView":"Customized View","bootcamp":"Video Crash Courses","all":"All","drill":"Math Essentials","encyclopedia":"Encyclopedia","geogebra":"GeoGebra","noResult":"No search result found","readMore":"Read more","watchVideo":"Watch video","remove":"Remove","search":"Search..","searchResultAppear":"Your search results will appear here","searchTooltip":"Customized View shows you entries for the level you chose in settings. Toggle to see all entries.","software":"Digital tools","title":"Search results","searchPlaceholderText":"What would you like to learn?"},"dashboard":{"activities":"Activities","activity":"Activity set","activitiesShownHere":"Your latest visited pages will be shown here","activitiesSubtitles":{"multgame":"Last mode","stacknload":"Last level","treasureTrail":"Last level","windSurfer":"Last score"},"bootcamp":{"buttonContinueLearning":"Continue learning","buttonToOverview":"Go to overview","comingSoon":"Coming soon!","edit":"Edit","title":"My Bootcamps"},"chatBetweenUserAndTutor":"Chat between user and tutor","checklists":{"button":{"claimReward":"Claim reward","completeProfile":"Complete profile","createAvatar":"Create Avatar","exploreLeaderboard":"Leaderboard","exploreSpace":"Take me to Space","mathTask":"My Math Tasks","onboarding":"Mapping Quiz","verifyEmail":"Verify E-mail"},"checklist_item_completed":"Checklist Item Completed","close":"Close","completeProfile":"Complete profile","createAvatar":"Create avatar","description":"Complete your checklist and be rewarded","exploreLeaderboard":"Visit the league","exploreSpace":"Visit your space","imageAlt":{"completeProfile":"Profile icon","createAvatar":"Avatar icon","exploreLeaderboard":"Trophy icon","exploreSpace":"Space icon","mathTask":"Math tasks icon","notification_checkbox":"Checklist notification checkbox","onboarding":"Brain icon","verifyEmail":"E-mail icon"},"mathTask":"Complete a Math Task","mathTaskBadge":"Beat the boss","notification":{"completeProfile":"You have completed your profile.","createAvatar":"You have created your Avatar.","exploreLeaderboard":"You have visited the league.","exploreSpace":"You have entered your Space.","mathTask":"You have completed your first math task.","onboarding":"You have completed your mapping quiz.","verifyEmail":"You have verified your e-mail address."},"onboarding":"Complete Mapping Quiz","seeMore":"See more","title":"Get started","tooltip":{"completeProfile":"\u003cstrong\u003eComplete\u003c/strong\u003e your profile and be rewarded \u003cstrong\u003e{{rewardXP}}{{comma}}{{rewardGems}}.\u003c/strong\u003e","createAvatar":"\u003cstrong\u003eCreate\u003c/strong\u003e your personalised avatar and \u003cstrong\u003eclaim {{rewardXP}}{{comma}}{{rewardGems}}.\u003c/strong\u003e","exploreLeaderboard":"\u003cstrong\u003eVisit\u003c/strong\u003e the league and \u003cstrong\u003eearn {{rewardXP}}{{comma}}{{rewardGems}}!\u003c/strong\u003e","exploreSpace":"\u003cstrong\u003eClaim {{rewardXP}}{{comma}}{{rewardGems}}\u003c/strong\u003e by exploring your \u003cstrong\u003eSpace\u003c/strong\u003e","mathTask":"\u003cstrong\u003eComplete\u003c/strong\u003e your first math task by beating \u003cstrong\u003ethe boss.\u003c/strong\u003e","onboarding":"\u003cstrong\u003eEarn {{rewardXP}}{{comma}}{{rewardGems}}\u003c/strong\u003e by completing the \u003cstrong\u003emapping quiz.\u003c/strong\u003e","verifyEmail":"\u003cstrong\u003eVerify\u003c/strong\u003e your e-mail and claim \u003cstrong\u003e{{rewardXP}}{{comma}}{{rewardGems}}.\u003c/strong\u003e","rewadXP":"{{XP}} XP","rewadGems":"{{GEMS}} gems"},"verifyEmail":"Verify e-mail"},"checkOutMath":"Check out some of our math topics","completed":"Completed","completeProfile":{"button":"Complete your registration","description":"We need to know a little bit more about you to customize your experience"},"doMath":"Do Math","featureProducts":{"label":"Main Math Topics"},"gamification":{"badge":"Bootcamp badge","badgeBackground":"Badge background","buttonToBase":"Space","completeQuestsGetTopics":"Complete tasks to get more topics","gemIcon":"Gem icon"},"getAPath":"Get a learning path","imageAlt":{"background":"Green beanstalk with many leaves, twisting dramatically","backgroundMobileBottom":"Bean stalk","backgroundMobileTop":"Bean stalk","homebasePlaceholder":"Baby dragon peeking out from its white scaled egg amidst a beanstalk"},"latestActivities":"Last visited","learningPath":"Learning path","metaDescription":"All the math help you need for free! Get the full mathematics curriculum with instructional videos, interactive problem solving, games and 24/7 chat.","myActivities":"My Activities","news":{"buttonChat":"Chat","buttonPlay":"Play","buttonShowMe":"Show me","buttonStart":"Start","campAlt":"Campsite","content1":"Join D’Rillo on an adventure through the updated Math Essentials. Learn about the most central topics in mathematics while you play with fun activities!","content2":"Our tutors are ready to help you. Use the chat to get answers to all your questions about math.","content3":"Enter the Times Tables competition, compete against others and win great prizes!","content4":"Bootcamps are fun, interactive, gamified and animated math lessons for everyone.","content5":"Get instant math help! Book a 15 minute video session with a tutor.","header1":"Become a Drillmaster","header2":"Get Unstuck","header3":"Win an iPad and other great prizes","header4":"Try the Bootcamps","header5":"Video Chat","subject1":"Fractions","title":"News"},"newsInHomebase":"News in Homebase","reward":"Reward","statistics":{"activity":{"correct":"Correct","inCorrect":"Incorrect","instruction":"Try our products to unlock this statistic","label":"Total activities"},"feedback":{"instruction":"Would you like to see more statistics in the future?","no":"No","yes":"Yes"},"label":"My Statistics","timeSpent":{"days":"Days","hours":"Hours","label":"Time spent","minutes":"Minutes"}},"tagNew":"New","takeQuiz":"Take the quiz","tipOftheDay":"TIP OF THE DAY","title":"Dashboard","toolTip":"Overview of your progress and learning path.","tutor":{"assigningTutor":"Please wait while we are finding a tutor for you.","bookPrivateTutoring":"Book Tutoring","myStudentPanel":"My Student Panel","myTutor":"My tutor","myTutors":"My tutors","tutorPending":"Pending","tutorScheduling":"When you have scheduled a session, it will show up here."},"exploreMathTopics":"Explore Math Topic","userCard":{"quizMessageButton":"Quiz","quizMessageText":"High math competence expands your options in your future. The more math you know, the more options you'll receive. So, muster up your courage and get started on the math! Get started by taking the quiz!","quizMessageTitle":"Mapping quiz","youHaveNews":"You have news! \u003copenHomebase\u003eOpen homebase\u003c/openHomebase\u003e"},"yourPath":"Your Learning Path","completeLevel":"Complete \u003cb\u003elevel {{level}}\u003c/b\u003e to unlock","gotIt":"Got it","lockedChest":"Chest is locked","congratulations":"Congratulations!","collectRewards":"You got more \u003cb\u003eKudos\u003c/b\u003e and \u003cb\u003egems\u003c/b\u003e to spend in your personal \u003cb\u003eSpace.\u003c/b\u003e","collect":"Collect","bossBattle":"Boss battle","challenge":"Challenge Boss","goToVideo":"Go to video","goToActivity":"Go to activity","goToBoss":"Go to Boss","startHere":"Start here","read":"Read","goToArticle":"Go to article","skip":"Skip ahead","completeTask":"Complete Math Task","task":"Task","readyProgress":"Ready to progress?","defeatBoss":"\u003cb\u003eDefeat\u003c/b\u003e the boss to \u003cb\u003ecomplete\u003c/b\u003e this Math Task!"},"gamification":{"questSummary":{"pointsEarned":"Points earned","reward":"Reward","starsEarned":"Stars earned","title":"Summary"},"globalLeaderboard":"Global Leaderboard","rank":"Rank","title":"Leaderboard","weekNo":"Week {{ weekNo }}","youEarned":"You earned","youJoined":"You just entered this week's \u003cstrong\u003e{{league}}\u003c/strong\u003e","league":{"bronze":"Bronze League","silver":"Silver League","gold":"Gold League","platinum":"Platinum League","diamond":"Diamond League"},"congratulations":"Congratulations","bravo":"Bravo!","ohNo":"Oh no!","youDemoted":"You demoted to","youStayed":"You held your position in the","yourRank":"with rank \u003cstrong\u003e#{{rank}}!\u003c/strong\u003e","advancing":"You advanced to","gems":"Gems"},"home":{"bookTutoring":"Book tutoring","heroDescription":"Math designed in a fun way to keep you engaged and focused.","letsGo":"Let's go","startNow":"Start now","jumpIntoLearningToday":"Jump Into Learning Today","chooseLearningMethod":{"title":"We Cater to All Learning Styles","videos":"3D  animated videos","games":"Games","activities":"Interactive activities"},"highlightTexts":{"scientificallyProven":"Get a better grade","betterGrades":"with our scientifically proven method","reachDream":"Reach your dream faster","learningMath":"by learning math smarter and easier than ever before","ownPace":"Learn at your own pace","learningPath":"with our Personalized Learning Intelligence Frigg"},"testimonials":{"title":"We Love House of Math","josephineAge":"17 years old.","josephineNamibiaTestimonial":"It helps me study and revise new content every time. My grades have improved drastically.","lakshinAge":"9 years old.","lakshinSriLankaTestimonial":"It offers intriguing videos and intriguing exercises that I can clearly recall.","aleksanderAge":"32 years old.","aleksanderTestimonial":"It has been a great tool and a great way for someone in my situation to go back and relearn the basics with better math fundamentals.","bridgetteAge":"53 years old.","bridgetteTestimonial":"I am now able to assist my 12 year old son with homework. It also improves my confidence at work🤗","dianneAge":"36 years old.","dianneTestimonial":"Guide me to learn math so I can help my children with their homework.","avhatakaliAge":"16 years old.","avhatakaliTestimonial":"When I have a math helper I can improve a lot than when I am just practicing by myself.","edgardoAge":"72 years old.","edgardoTestimonial":"Constant practice through your help improved my math knowledge and it is because of simplified and clear explanations.","calebPhilippinesTestimonial":"It is very helpful for me because of the impressive explanations, examples, and graphics demonstrations.","owamTestimonial":"It's easy and fun at the same time. 😁","jesudasAge":"46 years old.","jesudasIndiaTestimonial":"I want to be a tutor so House of Math is helping me to learn the basics of maths","emmanuelTestimonial":"It has helped me to understand the factorization and powers in a easier way.","maureenNigeriaTestimonial":"It helps me in doing my children's homework,","namibia":"Namibia","srilanka":"Sri Lanka","india":"India","norway":"Norway","southAfrica":"South Africa","ghana":"Ghana","philippines":"Philippines","student":"Student","teacher":"Teacher","parent":"Parent"},"tutorOnDemand":{"title":"Do you want more than a digital experience?","subtitle":"Try Tutor-on-Demand","description":"Are you stuck on a math problem or have a question? \u003cbr /\u003e Chat live with a real math tutor and get the answers you need 24/7. \u003cbr /\u003e Or work with one of our 170 high-quality tutors. We are here to help you achieve your math goals and take the next step!"},"homPresentationTitle":"Our Cutting-Edge Approach","previewSite":"Sneak preview the site","products":{"bootcamp":"Learn from our online math courses with animated instructional videos and interactive problem solving.","bootcampTitle":"Video Crash Courses","digitalTools":"Learn to use Excel and GeoGebra for all sorts of calculations and visualizations.\n\n","digitalToolsTitle":"Digital Tools","encyclopedia":"Read everything in the mathematics curriculum from elementary school to high school.","encyclopediaTitle":"Encyclopedia","exams":"","examsTitle":"","games":"Get better at math while playing games and having fun!\n\n","gamesTitle":"Games","mathEssentials":"Get on the fast track through the most central topics in math!\n\n","mathEssentialsTitle":"Math Essentials","mathVault":"Practice more than 2,500 multiple choice questions from the K-4 curriculum.","mathVaultTitle":"Junior Math","tutorOnDemand":"Get all the help you need to learn math through live chat, video chat and tutoring with a tutor.","tutorOnDemandTitle":"Tutor-on-Demand","studyTips":"Discover tips on how to become a super student!\n\n","studyTipsTitle":"Study Tips","mappingQuizTitle":"Mapping Quiz","mappingQuiz":"Receive a personalized learning path based on our Mapping Quiz.","title":"Choose your favorite learning method"},"sponsors":{"title":"Sponsoring our ESG project \u003cbr\u003e\u003c/br\u003e \u003cstrong\u003eWeTakeAction\u003c/strong\u003e"},"title":"Learn math smarter, faster and easier","pilotTitle":"Learn math smarter and easier!","pilotSubtitle":"We help you crack the math code\nLet's go to the next level","weAreGlobal":"Become a member of our \u003cstrong\u003eglobal\u003c/strong\u003e math network","whatAreYouLookingFor":"What are you looking for?","whoWillBenefit":{"title":"Who Benefits From Our Solution?","students":"Students","parents":"Parents","teachers":"Teachers","studentDescription":"Learn and practice math at your own pace with fun activities and games.","parentDescription":"Support your child’s math learning with tools you don't find in schools.","teacherDescription":"Enhance your teaching methods and learning outcomes."},"houseOfMathMethod":{"title":"House of Math’s Unique Teaching Method","method1":"Bite sized math learning","method2":"Access to all pre-university math","method3":"Fill gaps in your knowledge and thrive in class","method4":"Rooted in the teaching philosophy of the Nordics","method5":"Based on neuroscience, math didactics, and motivational psychology","method6":"Personalized and unique learning path designed by our AI","method7":"20 years empowering learners to become math champions"},"imageAlt":{"beanStalkWorld":{"mobile":"Leafy beanstalk wrapped around the whole world","desktop":"Beanstalk connecting planet Earth with an equals sign"},"hero":"House of Math Team","productBeanStalk":"Beanstalk linking a multiplication sign and a plus sign vertically","threeDragons":"Three dragons","mappingQuiz":"Brain with nodes","teamLogo":"House of Math Team logo"},"seeHow":"See how","signUp":"Sign up","used":"Used by","unlimited":"Unlimited","practiceExercise":"practice exercises","totalTeacher":"45 000+","teachersWorldwidePilotPage":"teachers worldwide","teachersWorldwide":"45 000+ teachers worldwide","makingSmarterKids":"20 years of helping kids","topMathLearners":"become top\u003cbr\u003e math learners","moreThen":"More than","registeredUsersPilotArea":"Join over {{ count }} registered users","registeredUsers":"{{ count }}\u003cbr\u003e registered users","registeredUsersPilot":"registered users","testimoni1":{"name":"Silje Glidseth","testimoni":"I am very pleased with the follow-up I received. This lead to new accomplishment and I have gotten better grades"},"testimoni2":{"name":"Thorbjørn Brook Steen","testimoni":"I sent my daughter to House of Math when she started middle school, not because she struggled with math, but because she needed motivation. Her teenage brain needed guidance as well as accelerated math education. We are extremely satisfied with both!"},"itWorks":"It works!"},"onboarding":{"completed":"completed","weHaveUpgraded":"We have upgraded the platform!","getACustomizedExperience":"Get a customized experience!","weHaveUpgradedSubtitle":"Get a new math task and a BIG bonus!","customizedSectionSubtitle":"Click the button to get the best possible math help!","retakeMappingQuiz":"Retake Mapping Quiz","takeMappingQuiz":"Take mapping quiz","customizeExperience":"Customize experience","notNow":"Not now","myAccountType":"Who are you?","buildMyLearningPath":"Build my learning path","buildYourPath":"Building your learning path","firstMathQuests":"Your first math tasks","student":"Student","teacher":"Teacher","parent":"Parent","other":"Other","next":"Next","skip":"Skip","myDetails":"My details","errors":{"nickname":"Nickname not provided","email":"Valid email not provided","noEmail":"E-mail not provided","emailTaken":"Email is already in use","birthYear":"Birth year not provided","country":"Country not provided","skill":"Math Level not provided"},"verifyEmail":"Verify the email","myMathLevel":"My math level","whatIsYourMathLevel":"What is your math level?","createYourOwnAvatar":"Create your own avatar","myAvatar":"My Avatar","makeAvatar":"Make avatar","exit":"Exit","myMappingQuiz":"My Mapping Quiz","forTheBestPossible":"For the best possible \u003cstrong\u003emath help\u003c/strong\u003e click the button","customize":"Customize","philosophy":{"pageOneTitle":"Hey you!","pageTwoTitle":"A smarter way is available","pageThreeTitle":"We are here to help","findPersonalized":"Find your personalized learning path on the next page","pageOneText":"Are you used to \u003cstrong\u003elearning math based on what grade\u003c/strong\u003e you are in?","pageTwoText":"Be prepared for \u003cstrong\u003eunexpected topics\u003c/strong\u003e to learn math smarter and easier","pageOneButton":"Yes","pageTwoButton":"Enter the unexpected","pageThreeButton":"Get your learning path"},"myLearningPath":"My Learning Path","toGiveCustom":"We need this so we can give you a custom experience","wantToDo":"What do you want to Do?","findMathTopic":"Find a math topic","fillGaps":"Fill gaps","yourBirthYear":"What’s your birth year?","continue":"Continue","birthYear":"Enter birth year.."},"highscore":{"highscore":"Site score"},"emailVerify":{"title":"Verify your email","metaDescription":"Verify your email, or send a new verification email","resendEmail":"Resend verification link","sendEmail":"Send verification link","resend":"Resend","tooManyRequests":"You are trying this too often. Please try again later.","somethingWrong":"Could not resend email. Please try again later","notYourEmail":"Not your E-mail?","goToSettings":"Go to settings","expired":{"title":"Verification link has expired","text":"The verification link has expired. It expires 48 hours after you receive it","buttonLabel":"Click the button to send a new verification link"},"success":{"title":"Verification successful","text":"Congratulations, you have verified your email!"},"error":{"title":"UH-OH!","text":"Something went wrong","buttonLabel":"Try resending"},"resent":{"title":"A verification link has been sent to {{email}}","text":"Please click the link that has just been sent to","subTitle":"\u003cspan style='color: black'\u003eVerify your\u003c/span\u003e e-mail to learn math smarter and easier","verifyEmailText":"to verify your email","buttonLabel":"Did you not receive a link?"},"invalidEmail":"Your E-mail is not valid","notVerified":"E-mail not verified","rememberToVerify":"Verify your email and boost your math skills!","sendVerificationLink":"Verify my e-mail","checkSettings":"You can check if the e-mail is correct in the","emailVerificationLinkSent":"E-mail verification link sent","emailVerificationLinkFailedToSent":"Verification link failed to send","somethingWentWrong":"Something went wrong","addValidEmail":"Add a valid e-mail in","addAValidEmail":"Add a valid email","settings":"settings","tryAgain":"Send again","whatIsMyEmailText":"What e-mail am I registered with?","emailVerifyTooManyRequest":"Too many attempts wait 1 minute","emailDurationMessage":"This can take a few moments","emailVerifyAlt":"Email verification status is {{ status }}","exitIcon":"Exit icon","addEmail":"Add a valid e-mail","complete":"Complete","verify":"Verify","yourEmail":"Your email","emailVerifyMessage1":"Complete your profile to discover more ways to boost your math skills!","emailVerifyMessage2":"\u003cspan style='color: red'\u003eVerify\u003c/span\u003e your email to discover more ways to boost your math skills!","emailVerifyMessage3":"Complete your profile and \u003cspan style='color: red'\u003everify\u003c/span\u003e your email to discover more ways to boost your math skills!","pleaseCheck":"Please check","toVerify":"to verify your account","wantToChange":"Want to change your e-mail?","changeHere":"Change it here","toVerifyEmail":"to \u003cspan style='color: red'\u003everify\u003c/span\u003e your email"},"registerAccount":{"IamA":"I am a","birthYear":"Year of birth","button":"Next","chooseBestDesc":"Choose the alternative which most closely resembles you","country":"Country","details":"Fill in details","dropdownYearsInSchool":"Years in school","numberOfYearsInSchool":"Number of years in school","gradeLevel":"Grade level","haveUser":"Already have a user?","inMath":"In math I am","indAvatar":"Choose avatar","indBirth":"Birth year","indConfirm":"Confirm my account","indLevel":"Math level","myMathLevel":"My math level","indNickname":"My nickname","indRegister":"Sign up","indSchool":"School and grade level","indWhere":"Where are you from?","indWho":"Who are you?","initial":"Sign up","signUpFree":"Sign up for free","logIn":"Log in","logInForOther1":"If they already have a user, ","logInForOther2":"for them.","myInfo":"My information","nickname":"Choose a nickname","registerWithFacebook":"Continue with Facebook","registerWithTiktok":"Continue with TikTok","registerWithGoogle":"Continue with Google","saveAndProceed":"Save and proceed","signUpForOther":"If you are signing up for someone else, use their information.","studentInfo":"Add student information","timezone":"Timezone","userSkill":"My math level is","userType":"I am","wantsNewsletter":"I would like relevant news and offers from houseofmath.com","workWith":"I want to work with","yearsAtSchool":"Number of years in school","detailLabel":"My details","accountType":"My account type","byContinuingYouAgreeToOur":"By continuing, you agree to our","and":"and","privacyPolicy":"Privacy Policy","termsAndConditions":"Terms and Conditions","continue":"Continue"},"adminPanel":{"allTime":"All time","assign":"Assign","assignTutor":"Assign tutor","assignRole":"Assign role","avgSizeNok":"Avg. package size (NOK)","avgSizeTotal":"Avg. package size Total","avgSizeUsd":"Avg. package size (USD)","cancelSession":"Cancel session","createZoomAccount":"Create zoom Account","earnings":"Earnings","earningsNok":"Revenue (NOK)","earningsUsd":"Revenue (USD)","endDate":"End date","hourEight":"8 hours T/Sr","hourEighty":"80 hours T/Sr","hourForty":"40 hours T/Sr","hourSixtyFour":"64 hours T/Sr","hourThirtyTwo":"32 hours T/Sr","hourFour":"4 hours T/Sr","hourSix":"6 hours T/Sr","hourSixteen":"16 hours T/Sr","hours":"Hours","inThousand":"in 1000","international":"International","latestBooking":"Latest booking","location":"Location","tutorStat":"Tutor on Demand stats","selectSubscriptionPackage":"Select Stripe Package","selectStripeProduct":"1. Select Stripe product","selectStripePrice":"2. Select pricing","selectCountryLabel":"3. Select country","freeTrialLabel":"4. Free Trial","selectCountry":"Select Country","stripeProducts":"Stripe Products","stripeProduct":"Stripe product","paymentGateway":"Payment Gateway","priceApiId":"Price API ID","price":"Price","pricing":"Pricing","country":"Country","city":"City","region":"Region","zip":"Zip","lat":"Lat","lng":"Lng","radius":"Radius","default":"Default","deleteCountryAssociation":"Delete country association","subscription":"Subscription","add":"Add","noRecordFound":"No record found","stripeProductArchived":"Product has been archived","stripePriceArchived":"Price has been archived","norwegian":"Norwegian","numberOfChatMessages":"Chat messages: {{ messages }}","numberOfCountries":"Country Count: {{ countries }}","numberOfTutors":"Tutor Count: {{ tutors }}","existingStudents":"Existing students: {{ students }}","numberOfNewStudents":"New students: {{ students }}","totalNumberOfStudents":"Total number of students: {{ students }}","numberOfUsers":"User Count: {{ users }}","overview":"Overview","packageType":"Package type","packages":"Packages\t","recommended":"Recommended","scheduleFilter":{"available":"Available","chat":"Chat","on-duty":"On duty","selectAvailabilityType":"Select availability type","selectPurpose":"Select purpose","video-chat":"Video Chat"},"searchTutors":"Search Tutors","searchStudents":"Search Students","searchUsers":"Search Users","seeDetails":"See Details","selectRole":"Select Role","sessions":"Sessions","singleHour":"Single Hour T/Sr","startDate":"Start date","teacherMessages":"From teachers","trialPeriodDays":"Trial Period Days","title":"Admin Panel","total":"Total T/Sr","totalBought":"Total hours bought","totalUsed":"Total hours used","transferSession":"Transfer session","unassign":"Unassign","unassignTutor":"Unassign tutor","userMessages":"From users","allCustomers":"All customers","campaignCustomers":"Campaign customers","userTypes":{"enthusiast":"Enthusiast","grandparent":"Grandparent","null":"Not chosen","other":"Other","parent":"Parent","pupil":"Pupil","student":"Student","teacher":"Teacher"},"videoChat":"Video chat","studentSettings":{"saveLabel":"Save","updateSuccessful":"Update successful"},"userAssignRoles":{"freeUser":"Free user","user":"User","teacher":"Teacher","mentor":"Tutor","admin":"Admin","student":"Student","videoChatMentor":"Video chat tutor"},"userPermissions":{"tod_admin":"TOD Admin","subscription_admin":"Subscription Admin","tutor_manager":"Tutor Manager","chat_supervisor":"Chat Supervisor","statistics_read":"Statistics Viewer","selectPermissions":"Select Permissions","permissionFor":"Set permissions for","permissionBtnText":"Set Permissions","somethingWentWrong":"Something went wrong"},"authEmail":"Oauth E-mail","authProvider":"Oauth Provider","permissions":"Permissions","permissionAddText":"Add new subscription permissions","feature":"Feature","selectFeature":"Select Feature","urlExtension":"URL Extension","urlExtensionPlaceholder":"/* or /topic or /topic/sub-topic","subscriptionPermissions":"Subscription permissions","timeOpen":"Time Open","timeOpenAddText":"Add time spent for feature","subscriptionTimeOpen":"Subscription Time Open","editTimeOpen":"Edit Time Open","minutes":"Minutes","seconds":"Seconds","delete":"Delete","remove":"Remove","cancel":"Cancel","save":"Save","edit":"Edit","from":"from","scheduleSession":{"addTutorSession":"Add session for tutor {{ tutorName }}"},"youHaveUnsavedChanges":"You have unsaved changes","saveChanges":"Save changes","informationUpdated":"Information Updated","toolTip":"Manage your subscription and tutor on demand."},"tutorPanel":{"closeCalendar":"Close calendar","myCalendar":"My calendar","nextAppointment":"Next appointment","scheduleSession":{"settingForTutor":"Adding session for tutor with id {{ tutorId }}","addInfo":"Add info","addTime":"Add time","buttonConfirm":"Confirm","buttonNext":"Next","date":"Date","errorTime":"End time must be after start time.","minTimeErr":"Minimum Session Time should be 1 hour","goBack":"Back to overview","info":"Info","selectDate":"Select date","time":"Time","errors":{"overbook_student":"Cannot overbook student","same_student":"Sessions are not for the same student","one_year_valid":"Booking is valid for one year","mentor_not_assigned":"Tutor is not assigned to booking","timeslot_conflict":"Session timeslots are conflicting"}},"degree":{"associate":"Associate Degree","bachelor":"Bachelor's Degree","master":"Master's Degree","doctoral":"Doctoral Degree","risingStar":"Rising star"},"seeDetails":"See details","sessionComment":{"commentUpdated":"Comment was updated.","validationError":"Comment must be between 5 and 255 characters."},"settings":{"labelBio":"Small description about you","labelCity":"City","labelEducationalInstitution":"Educational institution","labelEducationalProgramme":"Programme","labelEducationalDegree":"Educational degree","labelFullName":"Full name","labelGradeLevels":"Grades I teach","labelLanguages":"Language I tutor","labelLocation":"Location","labelPhoneNumber":"Phone number","labelPreferredDays":"Available tutoring times","labelSelectCity":"Location I tutor","labelSelectLanguage":"Select language","labelSelectTimezone":"Select timezone","labelSubjects":"Subjects I teach","labelTimezone":"Timezone","labelTraits":"My personality traits","labelVideoChatAvailability":"Video Chat availability","descriptionLevelOfEducation":"Choose the grade levels you can teach","descriptionSubjects":"Choose the subjects you can teach","descriptionGradeLevels":"For Norwegian school system. Select the math topics you are able to teach"},"studentCard":{"buttonScheduleSession":"Schedule next session","email":"E-mail","lastSession":"Last session","minutesLeft":"Minutes left","name":"Name","newStudent":"New student - Schedule session!","nextSession":"Next session","numSessions":"Amount of hours completed","phoneNumber":"Phone number","timezone":"Timezone"},"videoChat":{"todaysTasks":"Today's tasks"},"title":"Tutor panel","welcome":"Welcome","tutor":"Tutor","noTaskToday":"No task today","toolTip":"Manage your tutor sessions."},"studentPanel":{"bookAVideoChatSession":"Book a video chat session","bookNewVideoChat":"Book a 15 min video chat","buyPackage":{"hours_8":"Buy 8 hours package","hours_16":"Buy 16 hours package","latest":"Buy latest package"},"purchaseHistory":"Purchase history","buttonBecomeAStudent":"Book tutoring","completePreferencesButton":"Complete registration","completePreferencesHeader":"Tutor pending: Complete registration","completePreferencesText":"In order to find a suitable tutor, please complete the registration","hours":"Hours","tutorContactInfo":"Tutor contact info","tutorPending":"Tutor pending","tutorPendingMessage":"Your tutor will show up here as soon as possible.","metaDescription":"The student panel gives you a complete overview of your private tutoring. Use the dashboard to communicate with your personal tutor from House of Math.","myPackages":"My packages","myVideoChatBookings":"My video chats","newBooking":"New booking","nextAppointment":"Next appointment","noCompletedSessionsYet":"You have no completed sessions yet.","observingUser":"Observing {{ user }}","ratingHeader":"How was your session experience with {{ name }} on {{ date }}?","resendSignUpEmail":"Resend sign-up email","sessionsCompleted":"Sessions completed","settings":{"descriptionGradeLevels":"Since you have chosen the Norwegian school system, grades 11 to 13, and math as a subject, you need to specify which grade levels within math you want to focus on.","descriptionLevelOfEducation":"Choose how many years you have attended school","descriptionSubjects":"Choose the subjects you want to focus on.","descriptionTraits":"Choose up to three preferred tutor personality traits.","labelFullName":"Full name","labelGradeLevels":"Grade levels","labelLanguages":"Languages","labelLocation":"Location","labelPhoneNumber":"Phone number","labelPreferredDays":"Preferred days","labelSchoolCountry":"Where do you go to school?","labelSelectCity":"Select city","labelSelectLanguage":"Select language","labelSubjects":"Subjects","labelTimezone":"Timezone","labelTraits":"Tutor personality traits"},"studentDetails":"Student Details","title":"Student panel","userNeedsToCreateAccount":"\u003cstrong\u003e{{ email }}\u003c/strong\u003e needs to create an account in order for us to provide the package.","toolTip":"Find information on your appointments, tutor and receipts."},"statistics":{"pageTitle":"Statistics {{username}}","statistics":"Statistics","metaDescription":"See how you are progressing in different math topics, and keep track of all the rewards you have earned!","productCategoryFilters":{"all":"All Math Categories","algebra":"Algebra","geometry":"Geometry","numbers-and-quantities":"Numbers and Quantities","statistics-and-probability":"Statistics and Probability","functions":"Functions","proofs":"Proofs"},"learning":"Learning","rewards":"Rewards","all-time":"All Time","last-7-days":"Last 7 days","last-30-days":"Last 30 days","last-90-days":"Last 90 days","last-year":"Last year","video-course":"Video Course","math-vault":"Junior Math","last-visited":"Last visited","today":"Today","yesterday":"Yesterday","activities":"Activities","activities-done":"Activities done","activity-accuracy":"Activity accuracy","total-time-spent":"Total time spent","video-watching-time":"Video watching time","xp-earned":"XP earned","kudos-earned":"Kudos earned","gems":"Gems","fun-fact-chests":"Fun fact chests","correct-answer":"Correct answers","activity-sets":"Activity sets","videos":"Videos","level":"Level","levels":"Levels","boss-battle":"Boss battle","continue":"Continue","play":"Play","set":"Set {{n}}","correct":"Correct","got-to-video-courses":"Go to Video Crash Courses","you-have-not-visited":"You have not visited any learning areas the last {{n}} days","you-have-not-visited-all-time":"You have not visited any learning areas","create-nickname":"Create a nickname","answered":"Answered {{n}}","go-to-statistics":"My stats","review":"Review","timestat":{"days":"d","hours":"h","minutes":"min"},"last_attempts":"Last attempts","attempts":"Attempts","do_activities_to_see_your_attempts":"Complete activity sets to see your attempts","alt_texts":{"chart":"History of attempts","retake":"Retake","go":"Go","vcc":"Video Crash Courses icon","activities_done":"Sheet with exercises that have been graded","activity_accuracy":"Archery target","clock":"Clock","video_camera":"Video camera","xp":"XP","kudos":"Kudos","gems":"Gems","chest":"Chest","answered":"Sheet with exercises that have been graded","completed":"Completed","math_essential":"Math Essential Icon","article":"Article Icon","tick":"Tick Icon","book":"Book Icon","league":"League Icon"},"re_do_activities_to_see_your_attempts":"Since your last attempt we've updated the activity sets. Future attempts will show here.","math_essential":"Math Essential","quizzes":"Quizzes","quiz":"Quiz","articles":"Articles","math-essentials-subjects":{"the-multiplication-table":"Multiplication","fractions":"Fractions","percent":"Percentages","powers":"Powers, Roots and Scientific Notation","algebraic-factorization":"Algebraic Expressions","basic-algebra":"Algebraic Expressions","parentheses":"Algebraic Expressions","equations":"Equations","functions":"Functions"},"fractions":"Fractions","game":"Game","stars":"Stars","gold_boxes":"Gold boxes","highscore":"Highscore","stage_reached":"Stage reached","stage":"Stage","levels_completed":"Levels completed","windSurfer":{"bestScore":"Best Score","bestStreak":"Best Streak","bestLevel":"Best Level","run":"Run","score":"Score","last-five":"Last 5 Runs"},"multGame":{"multiplication":"Multiplication","solved":"Multiplications solved","accuracy":"Accuracy","bestStreak":"Best streak","score":"Score","survival":"Survival","sprint":"100 Sprint","table-master":"Table Master"},"video-crash-courses":"Video Crash Courses","math-essentials":"Math Essentials","games":"Games","highestLeague":"Highest all-time league","statsisticsCardButton":"Statistics","playGames":"Games","toolTip":"View your learning progress and rewards."},"encyclopedia":{"back":"Go back","buttonQuizYourself":"Quiz yourself","customizedView":"Customized View","customizedViewTooltip":"Customized View shows you entries for the level you chose in settings. Toggle to see all entries.","filter":"Filter","introMessage":"This encyclopedia contains numerous entries of mathematics. Search for entries using the search field or navigate by using the menu.","nextEntry":"Next entry","prevEntry":"Previous entry","quizAtTheBottomMessage":"At the bottom of the page there is an interactive quiz.","readHere":"Read here","titleExcel":"Excel","titleGeogebra":"GeoGebra","overviewAndExamTipsIcon":"Overview and Exam Tips Icon","economyIcon":"Economy icon","statisticsIcon":"Statistics icon","numbersAndQuantitiesIcon":"Numbers and Quantities icon","algebraIcon":"Algebra icon","geometryIcon":"Geometry icon","statisticsAndProbabilityIcon":"Statistics and Probability icon","functionsIcon":"Functions icon","proofsIcon":"Proofs icon","previewAltPrefix":"Article on {{ title }}","previewAltOGP":"Preview of {{ title }}","knowMore":"Want to know more?","singUP":"Sign Up","itsFree":"It's free!"}}},"initialLocale":"en","ns":["imageAlt","footer","generics","errors","campaign","common","bootcamp","subscription","chat","chatAi","userFeedback","chat","gemShop","homebase","menu","navbar","notFound","search","dashboard","gamification","home","onboarding","highscore","emailVerify","registerAccount","subscription","imageAlt","adminPanel","tutorPanel","studentPanel","statistics","home","encyclopedia","encyclopedia","gamification"],"userConfig":{"i18n":{"defaultLocale":"en","locales":["en","no","uk"]},"localePath":"/var/task/public/locales","reloadOnPrerender":false,"default":{"i18n":{"defaultLocale":"en","locales":["en","no","uk"]},"localePath":"/var/task/public/locales","reloadOnPrerender":false}}},"initialState":"{\"user\":{\"current\":null,\"cookieConsentApplicable\":false},\"adminSchedule\":{\"selectedTimeslotSchedules\":[]},\"auth\":{\"jwtPayload\":null,\"firebaseAuthenticated\":false},\"avatar\":{\"avatarFields\":{\"avatarUrl\":\"\",\"avatarPng\":\"\",\"childAvatar\":false},\"avatarError\":false,\"downloadUrl\":\"\",\"avatarPng\":\"\"},\"subscription\":{\"subscriptionSuccessRedirectUrl\":\"\",\"subscriptionProduct\":{},\"currentSubscriptionPriceId\":\"\",\"currentSubscriptionId\":\"\",\"allowTrial\":false,\"isGa4Logged\":false,\"isSubscriptionApplicable\":false,\"showSubscriptionPackages\":false},\"bootcampActivity\":{\"correctConsecutiveAnswers\":0,\"currActivityType\":1,\"currDifficultyLevel\":1,\"currRewardLevel\":1,\"answerState\":null,\"didUpdateEvent\":false,\"events\":[],\"currentRound\":0,\"shouldDisableUserInteraction\":false,\"shouldGetEnergyOrbs\":false,\"collectedRewards\":0},\"bootcampPage\":{\"activities\":[],\"content\":[],\"help\":{\"encyclopediaPath\":\"\",\"drillPath\":\"\"},\"isCompleted\":false,\"sectionName\":\"\",\"usefulWords\":[],\"isCollapsed\":false},\"vcc\":{\"moduleCount\":0,\"title\":\"\",\"subjectName\":\"\",\"complexityLevel\":1,\"whyShortTitle\":\"\",\"hasWhyLevel\":true,\"totalModules\":0,\"totalLevels\":0,\"levelsPageData\":[],\"levelActivities\":{},\"badgeImage\":{\"srcKey\":\"\"},\"badgeOutlineImage\":{\"srcKey\":\"\"},\"color\":{\"bgClass\":\"bg-purple\",\"checkedBgClass\":\"checked:bg-purple\",\"textClass\":\"text-purple\",\"hex\":\"#7D38D6\",\"borderClass\":\"border-purple\",\"outlineClass\":\"outline-purple\",\"ringClass\":\"ring-purple\"}},\"bootcampQuiz\":{\"bootcampKey\":null,\"subtopic\":null,\"startTime\":null,\"totalQuestions\":0,\"completedQuestions\":0,\"wrongAnswer\":0,\"bossHealth\":100,\"damagePlayer\":false,\"maxWrongAnswer\":0,\"questions\":[],\"mathEnergyEarned\":0,\"badgeImage\":{\"alt\":\"Special Trophy\",\"srcKey\":\"bootcamp/bootcamp_module_list_trophy_logo.png\"},\"bossBattleEnemy\":{\"avatarGLBFilePath\":\"\",\"avatarImagePath\":{\"alt\":\"\",\"srcKey\":\"\"},\"dragonId\":0},\"hasStartedQuiz\":false,\"bossCurrentBehavior\":null,\"bossIsBusy\":false,\"bossDamageAmount\":0,\"bossResponse\":{\"state\":\"ready\",\"anim\":null},\"bossSound\":\"unmute\"},\"cart\":{\"tutorForOther\":[{\"levelsOfEducation\":[\"grade-11-to-13\"],\"product\":null,\"subjects\":[\"math\"],\"includeTravelExpense\":false,\"location\":\"online\",\"email\":\"\",\"emailVerify\":\"\",\"firstName\":\"\",\"lastName\":\"\",\"uuid\":\"ab27cac6-5dd9-4de9-a040-1298851ee8a1\"}],\"tutorForSelf\":{\"levelsOfEducation\":[\"grade-11-to-13\"],\"product\":null,\"subjects\":[\"math\"],\"includeTravelExpense\":false,\"location\":\"online\"},\"videoChat\":{\"levelsOfEducation\":[\"grade-11-to-13\"],\"product\":null,\"subjects\":[\"math\"],\"dateAsTimestamp\":null,\"needHelpWith\":\"\",\"scheduleAt\":null},\"bookingForSelfFormErrors\":{}},\"chat\":{\"isChatOpen\":false,\"openThreadId\":null,\"prevThreadId\":null,\"threadPos\":null,\"newMessage\":\"\",\"transitionDidFinish\":true,\"showChatInfoBox\":true,\"chatNotification\":false,\"lastMessage\":\"\",\"lastMessageSentAt\":null},\"chatAi\":{\"isShowingChatInitialModal\":false,\"isChatAiOpen\":false,\"threadMessages\":[]},\"checkout\":{},\"dashboard\":{\"isTabToggled\":true,\"scrollToQuest\":false,\"highlightedItem\":null,\"isNavigateToDashboard\":false,\"chestAnimation\":false,\"scrollToActivityLearningPath\":false},\"dropdownMenu\":{\"menuToClose\":null,\"menuToOpen\":null},\"employee\":{\"fields\":{\"employees\":[],\"categories\":[]},\"errors\":{\"employees\":\"\",\"categories\":\"\"},\"backendError\":\"\"},\"gamification\":{\"notification\":false,\"gems\":0,\"rewardsCount\":{\"initial\":0,\"collected\":0,\"available\":0},\"nextBootcampPage\":{\"currentActivityType\":0},\"hasFetchedEvents\":false,\"hasLeveledUp\":false,\"hasLoggedOut\":false,\"fromRetakeQuiz\":false,\"showHomebaseClosingX\":true,\"showShopButton\":true,\"isQuizFinished\":false},\"gemShop\":{\"isShowingGemShop\":false,\"didPurchase\":false,\"isLocked\":false},\"homebase\":{\"homebaseIsOpen\":false,\"scrollToBase\":false,\"isBadgeReady\":false},\"login\":{\"fields\":{\"email\":\"\",\"password\":\"\"},\"errors\":{\"email\":\"\",\"password\":\"\"},\"backendError\":\"\",\"loginScenario\":\"default\",\"simpleUserProfile\":{},\"view\":\"default\"},\"recaptcha\":{\"captcha\":{\"challenge\":\"\",\"answer\":\"\"},\"authType\":null},\"homebaseQuiz\":{\"quizState\":[],\"advancedSubjects\":{\"articles\":[],\"question\":\"\"},\"quizView\":\"INITIAL\",\"completedQuizes\":0},\"mathVault\":{\"currentScreen\":\"activity\",\"answerState\":\"pending\",\"levelsSummary\":{},\"currentQuestionSummary\":{\"livesLeft\":2,\"questionNo\":null,\"numberOfTries\":-1,\"numberOfFailures\":-1,\"firstPassOnTryNo\":-1,\"passed\":false},\"selectedAnswer\":null,\"currentLocation\":{\"room\":\"OUTSIDE_VAULT\",\"chest\":null},\"kudosEarned\":0,\"showLogInOverlay\":false,\"answerBeforeLogIn\":{\"metadata\":null,\"nextActivityPath\":null},\"server\":{\"activity\":{\"_id\":\"\",\"metadata\":{\"language\":\"en\",\"chest\":\"\",\"tab\":1,\"elevator\":\"\",\"room\":\"\",\"metaDescription\":\"\",\"keywords\":\"\",\"globalId\":\"\",\"activityNumber\":1,\"roomColor\":\"\",\"numberOfTabs\":6,\"numberOfActivities\":10,\"reference\":\"\",\"references\":[],\"title\":\"\",\"points\":0,\"tabsActivity\":[],\"columnLayout\":\"one-column\"},\"question\":[],\"alternatives\":[],\"shouldShuffle\":false}},\"loading\":false,\"streak\":-1,\"navigations\":{\"prevLevel\":1,\"prevActivity\":1,\"nextLevel\":1,\"nextActivity\":1}},\"menu\":{\"menuIsOpen\":false,\"menuIsExpanded\":false,\"hideHorizontalMenu\":false,\"horizontalMenuHeight\":0},\"multipleChoiceTest\":{\"activeQuestion\":{\"index\":0,\"didAnswer\":false,\"didAnswerCorrectly\":false,\"selectedOption\":null},\"executeGemstoneAnimation\":false,\"questionsState\":null,\"view\":\"quiz\"},\"onboarding\":{\"chosenAccountType\":null,\"details\":{\"nickname\":\"\",\"email\":\"\",\"birthYear\":null,\"country\":\"\",\"wantsNewsletter\":false,\"skill\":null},\"errors\":{\"nickname\":\"\",\"email\":\"\",\"birthYear\":\"\",\"country\":\"\",\"wantsNewsletter\":\"\",\"skill\":\"\"},\"progress\":0,\"wasOnBirthYearPage\":false},\"petState\":{\"petState\":{\"eggState\":0,\"dragonPresent\":false,\"eggChosen\":null,\"name\":\"Mathagon\",\"level\":0,\"dragonRank\":0,\"lifeLength\":0,\"stillHatching\":true,\"mathEnergyOrbs\":0,\"totalMathEnergy\":0,\"totalAffection\":0,\"currentMathEnergyLevel\":0,\"currentAffectionLevel\":50,\"lastTimeStamp\":0,\"hatchingCooldown\":0,\"hatchingEnergyCooldown\":[0,0,0,0,0],\"tricksLearned\":[],\"currentTrickLearning\":null,\"currentTrickProgress\":0,\"trickLearningCooldown\":0}},\"quest\":{\"questState\":{\"questName\":\"\",\"questRewards\":{\"kudosOrbs\":0,\"gems\":0,\"xp\":0},\"showCompletedQuestModal\":false},\"isNewQuest\":false,\"hasOldQuizOnly\":false,\"clickedQuest\":\"\",\"resize\":false,\"skipingToBoss\":false},\"order\":{},\"scheduleSession\":{\"info\":{\"location\":\"\"},\"time\":{\"startHours\":0,\"startMinutes\":0,\"endHours\":0,\"endMinutes\":0}},\"search\":{\"currentQuery\":\"\",\"historyOfQueries\":[],\"isModalOpen\":false,\"hasSearchBar\":false},\"statistics\":{\"showNicknameOverlay\":false,\"learningStatsFilter\":{\"timeFilter\":\"all-time\",\"productCategoryFilter\":\"all\"},\"rewardsStatsFilter\":\"all-time\",\"productCardTimeFilter\":\"last-30-days\",\"productCardFilterOptions\":[]},\"storyCard\":{\"id\":null},\"adminSubscription\":{\"stripeProductId\":\"\",\"stripePriceId\":\"\",\"country\":\"\",\"trialPeriodDays\":0,\"isDefault\":false,\"paymentGateways\":[]},\"theory\":{\"displayMultipleChoiceTest\":false},\"ui\":{\"previewSite\":false},\"modals\":{\"showFeedbackModal\":true,\"showSubscriptionActivityModal\":false,\"showSubscriptionStaticModal\":false},\"donation\":{\"donationDetails\":{\"donationAmount\":0,\"donationCurrency\":\"usd\",\"donationType\":\"one-time\"},\"donationDetailsErrors\":{\"donationAmount\":\"\",\"donationCurrency\":\"\",\"donationType\":\"\"}},\"userFeedback\":{\"rating\":null,\"product\":null,\"showUserFeedbackModal\":false,\"comment\":\"\"},\"notificationApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"notificationApi\"}},\"homApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":5,\"keepUnusedDataFor\":1,\"reducerPath\":\"homApi\"}},\"soundControl\":{\"muted\":false,\"volume\":1},\"blogApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"blogApi\"}},\"tutorOnDemandApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"tutorOnDemandApi\"}},\"staticPageApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"staticPageApi\"}},\"activityApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"activityApi\"}},\"bootcampApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"bootcampApi\"}},\"craneGameApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"craneGameApi\"}},\"rewardApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"rewardApi\"}},\"dragonApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"dragonApi\"}},\"gemShopApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"gemShopApi\"}},\"leaderboardApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"leaderboardApi\"}},\"examsApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"examsApi\"}},\"usersCountApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"usersCountApi\"}},\"mathVaultActivityApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"mathVaultActivityApi\"}},\"mediaApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"mediaApi\"}},\"adminApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":true,\"keepUnusedDataFor\":1,\"reducerPath\":\"adminApi\"}},\"multipleChoiceTestApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"multipleChoiceTestApi\"}},\"questApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"questApi\"}},\"studytipsApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"studytipsApi\"}},\"settings\":{\"errors\":{},\"fields\":{\"email\":\"\",\"nickname\":\"\",\"country\":\"\",\"birthYear\":\"\",\"wantsNewsletter\":false,\"userType\":\"\",\"skill\":\"\",\"yearsInSchool\":\"\",\"gradeLevelId\":\"\",\"currPassword\":\"\",\"newPassword\":\"\",\"newPasswordConfirm\":\"\",\"phone\":\"\"},\"serverError\":null,\"isServerErrorInNicknameTab\":null,\"tab\":null},\"activitiesApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"activitiesApi\"}},\"collectionApi\":{\"queries\":{},\"mutations\":{},\"provided\":{},\"subscriptions\":{},\"config\":{\"online\":true,\"focused\":true,\"middlewareRegistered\":false,\"refetchOnFocus\":false,\"refetchOnReconnect\":false,\"refetchOnMountOrArgChange\":false,\"keepUnusedDataFor\":60,\"reducerPath\":\"collectionApi\"}},\"checklist\":{\"rewardFeature\":null,\"featureImage\":null}}"},"__N_SSG":true},"page":"/[...encyclopediaPaths]","query":{"encyclopediaPaths":["encyclopedia","geometry","planar-figures","circles","ellipses","what-is-the-equation-of-an-ellipse"]},"buildId":"p-l7V2_jqDcbk9_wsLjzi","isFallback":false,"isExperimentalCompile":false,"gsp":true,"locale":"en","locales":["en","no","uk"],"defaultLocale":"en","scriptLoader":[]} \end{array}