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5th grade
Content
- Uses divisibility rules for 2, 5, and 10 to find the common factors of numbers.
- Uses divisibility rules for 3, 6, and 9 to find common factors.
- Uses divisibility rules for 4, 8, 12, and 11 to find common factors.
- Solves routine and non-routine problems involving factors, multiples, and divisibility rules for 2,3,4,5,6,8,9,10,11, and 12.
- Creates problems(with reasonable answers) involving factors, multiples and divisibility rules.
Content
- Finds the common factors and the GCF of 2–4 numbers using continuous division.
- Finds the common multiples and LCM of 2–4 numbers using continuous division.
- Solves real-life problems involving GCF and LCM of 2-3 given numbers
- Creates problems (with reasonable answers) involving GCF and LCM of 2-3 given numbers.
Content
- Adds fractions and mixed fractions without and with regrouping.
- Subtracts fractions and mixed fractions without and 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 using appropriate problem solving strategies.
- Visualizes multiplication of fractions using models.
- Multiplies a fraction and a whole number and another fraction.
- Multiplies mentally proper fractions with denominators up to 10.
- Solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and whole numbers using appropriate problem solving strategies and tools
- Creates problems (with reasonable answers) involving multiplication of fractions.
- Shows that multiplying a fraction by its reciprocal is equal to 1.
- Visualizes division of fractions.
- Divides - simple fractions - whole numbers by a fraction and vice versa
- Solves routine or non-routine problems involving division without or with any of the other operations of fractions and whole numbers using appropriate problem solving strategies and tools .
- Creates problems (with reasonable answers) involving division or with any of the other operations of fractions and whole numbers.
Content
- Gives the place value and the value of a digit of a given decimal number through ten thousandths.
- Reads and writes decimal numbers through ten thousandths.
- Rounds decimal numbers to the nearest hundredth and thousandth.
- Compares and arranges decimal numbers.
- Visualizes addition and subtraction of decimals.
- Adds and subtracts decimal numbers through thousandths without and with regrouping.
- Estimates the sum or difference of decimal numbers with reasonable results.
- Solves routine or non-routine problems involving addition and subtraction of decimal numbers including money using appropriate problem solving strategies and tools.
- Creates problems (with reasonable answers) involving addition and/or subtraction of decimal numbers including money.
- Visualizes multiplication of decimal numbers using pictorial models.
- Multiplies decimals up to 2 decimal places by 1- to 2-digit whole numbers.
- Multiplies decimals with factors up to 2 decimal places.
- Estimates the products of decimal numbers with reasonable results.
- Solves routine and non-routine problems involving multiplication without or with addition or subtraction of decimals and whole numbers including money using appropriate problem solving strategies and tools.
- Visualizes division of decimal numbers using pictorial models.
- Divides decimals with up to 2 decimal places.
- Divides whole numbers with quotients in decimal form.
- Estimates the quotients of decimal numbers with reasonable results.
- Solves routine and non-routine problems involving division without or with any of the other operations of decimals and whole numbers including money using appropriate problem solving strategies and tools.
- Creates problems (with reasonable answers) involving multiplication and/or division or with any of the other operations of decimals and whole numbers including money.
Content
- Visualizes the ratio of 2 given numbers.
- Expresses ratio using either the colon (:) or fraction.
- Identifies and writes equivalent ratios.
- Expresses ratios in their simplest forms.
- Finds the missing term in a pair of equivalent ratios.
- Defines and describes a proportion.
- Recognizes when two quantities are in direct proportion.
Content
- Visualizes, names, and describes polygons with 5 or more sides.
- Describes and compares properties of polygons (regular and irregular polygons).
- Draws polygons with 5 or more sides.
- Visualizes congruent polygons.
- Visualizes and describes a circle.
- Identifies the terms related to a circle.
- Draws circles with different radii using a compass.
Content
- Defines percentage, rate or percent, and base.
- Identifies the base, percentage, and rate in a problem.
- Finds the percentage in a given problem.
- Solves routine and non-routine problems involving percentage using appropriate strategies and tools.
- Creates problems involving percentage, with reasonable answers.
17
VolumeContent
- Visualizes the volume of a cube and rectangular prism.
- Names the appropriate unit of measure used for measuring the volume of a cube and a rectangle prism.
- Derives the formula in finding the volume of a cube and a rectangular prism using cubic cm and cubic m.
- Converts cu. cm to cu. m and vice versa; cu.cm to L and vice versa.
- Finds the volume of a given cube and rectangular prism using cu. cm and cu. m.
- Estimates and uses appropriate units of measure for volume.
- Solves routine and non-routine problems involving volume of a cube and rectangular prism in real-life situations using appropriate strategies and tools.
- Creates problems (with reasonable answers) involving volume of a cube and rectangular prism in real-life situations.
Content
Content
- Draws inferences based on data presented in a line graph.
- Describes experimental probability.
- Performs an experimental probability and records result by listing.
- Analyzes data obtained from chance using experiments involving letter cards (A to Z) and number cards (0 to 20).
- Solves routine and nonroutine problems involving experimental probability.
- Creates routine and nonroutine problems involving experimental probability.
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