Learning Tools
Curriculum
All math topics
6th grade
- Adds and subtracts simple fractions and mixed numbers without or with regrouping.
- Solves routine and non-routine problems involving addition and/or subtraction of fractions using appropriate problem solving strategies and tools.
- Creates problems (with reasonable answers) involving addition and/or subtraction of fractions.
- Multiplies simple fractions and mixed fractions.
- Solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and mixed fractions using appropriate problem solving strategies and tools.
- Creates problems (with reasonable answers) involving multiplication without or with addition or subtraction of fractions and mixed fractions.
- Divides simple fractions and mixed fractions.
- Solves routine or non-routine problems involving division without or with any of the other operations of fractions and mixed fractions using appropriate problem solving strategies and tools
- Creates problems (with reasonable answers) involving division without or with any of the other operations of fractions and mixed fractions.
- Adds and subtracts decimals and mixed decimals through ten thousandths without or with regrouping.
- Solves 1 or more steps routine and non-routine problems involving addition and/or subtraction of decimals and mixed decimals using appropriate problem solving strategies and tools.
- Creates problems (with reasonable answers) involving addition and/or subtraction of decimals and mixed decimals.
- Multiplies decimals and mixed decimals with factors up to 2 decimal places.
- Multiplies mentally decimals up to 2 decimals places by 0.1, 0.01,10, and 100.
- Solves routine and non-routine problems involving multiplication of decimals and mixed decimals including money using appropriate problem solving strategies.
- Solves multi-step problems involving multiplication and addition or subtraction of decimals, mixed decimals and whole numbers including money using appropriate problem solving strategies and tools.
- Creates problems (with reasonable answers) involving multiplication without or with addition or subtraction of decimals, mixed decimals and whole numbers including money.
- Divides whole numbers by decimals up to 2 decimal places and vice versa.
- Divides decimals/mixed decimals up to 2 decimal places.
- Divides decimals up to 4 decimal places by 0.1, 0.01, and 0.001.
- Divides decimals up to 2 decimal places by 10, 100, and 1 000 mentally.
- Differentiates terminating from repeating, non-terminating decimal quotients.
- Solves routine and non-routine problems involving division of decimals, mixed decimals, and whole numbers including money using appropriate problem solving strategies and tools.
- Solves multi-step routine and non-routine problems involving division and any of the other operations of decimals, mixed decimals, and whole numbers including money using appropriate problem solving strategies and tools.
- Creates problems (with reasonable answers) involving division without or with any of the other operations of decimals, mixed decimals and whole numbers including money.
- Expresses one value as a fraction of another given their ratio and vice versa.
- Finds how many times one value is as large as another given their ratio and vice versa.
- Defines and illustrates the meaning of ratio and proportion using concrete or pictorial models.
- Sets up proportions for groups of objects or numbers and for given situations.
- Finds a missing term in a proportion (direct, inverse, and partitive).
- Solves problems involving direct proportion, partitive proportion, and inverse proportion in different contexts such as distance, rate, and time using appropriate strategies and tools.
- Creates problems involving ratio and proportion, with reasonable answers.
- Finds the percentage or rate or percent in a given problem.
- Solves routine and non-routine problems involving finding the percentage, rate and base using appropriate strategies and tools.
- Solves percent problems such as percent of increase/decrease (discounts, original price, rate of discount, sale price, markedup price), commission, sales tax, and simple interest.
- Creates problems involving percent, with reasonable answers
- Describes the exponent and the base in a number expressed in exponential notation.
- Gives the value of numbers expressed in exponential notation.
- Interprets and explains the Grouping, Exponent, Multiplication, Division, Addition, Subtraction (GEMDAS) rule.
- Identifies real-life situations that make use of integers.
- Describes the set of integers.
- Compares integers with other numbers such as whole numbers, fractions, and decimals.
- Represents integers on the number line
- Compares and arranges integers.
- Describes and interprets the basic operations on integers using materials such as algebra tiles, counters, chips, and cards.
- Performs the basic operations on integers.
- Solves routine and non-routine problems involving basic operations of integers using appropriate strategies and tools.
- Visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere.
- Differentiates solid figures from plane figures.
- Illustrates the different solid figures using various concrete and pictorial models.
- Identifies the faces of a solid figure
- Visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere.
- Identifies the nets of the following space figures: cube, prism, pyramid, cylinder, cone, and sphere using plane figures
10
Algebra- Gives the translation of reallife verbal expressions and equations into letters or symbols and vice versa.
- Defines a variable in an algebraic expression and equation.
- Represents quantities in reallife situations using algebraic expressions and equations.
- Solves routine and non-routine problems involving different types of numerical expressions and equations such as 7+ 9 =___ + 6.
- Creates routine and nonroutine problems involving numerical expressions and equations.
12
Geometry- Finds the area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle.
- Solves routine and non-routine problems involving area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semicircle.
- Visualizes and describes surface area and names the unit of measure used for measuring the surface area of solid/space figures.
- Derives a formula for finding the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres.
- Finds the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres
- Solves word problems involving measurement of surface area.
13
Volume- Determines the relationship of the volume between 70.1 a rectangular prism and a pyramid; 70.2 a cylinder and a cone; 70.3 and a cylinder and sphere.
- Derives the formula for finding the volume of cylinders, pyramids, cones, and spheres.
- Finds the volume of cylinders, pyramids, cones, and spheres.
- Solves routine and non-routine problems involving volumes of solids.
- Creates problems involving surface area and volume of solid/space figures, with reasonable answers.
- Collects data on one or two variables using any source.
- Constructs a pie graph based on a given set of data.
- Interprets data presented in a pie graph.
- Solves routine and non-routine problems using data presented in a pie graph.
- Creates problems that can be answered using information presented in a pie graph.
- Describes the meaning of probability such as 50% chance of rain and one in a million chance of winning.
- Quantifies the phrases “most likely to happen” and “unlikely to happen”.
- Performs experiments and records outcomes.
- Makes listings and diagrams of outcomes and tells the number of favorable outcomes and chances using these listings and diagrams.
- Creates problems involving experimental and theoretical probability