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Grade 5 Math

8 units · printable worksheets, answer guides & syllabus.

Course syllabus

The full unit-by-unit outline (unit goals, section goals, lesson list).

📄 Full Syllabus (PDF)

Units

Each unit has a student worksheet and a parent/teacher answer guide.

Unit 1 Finding Volume

Students find the volumes of right rectangular prisms and solid figures composed of two right rectangular prisms.

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Concept
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Advanced
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Unit 2 Fractions as Quotients and Fraction Multiplication

Students develop an understanding of fractions as the division of the numerator by the denominator, and solve problems that involve the multiplication of a whole number and a fraction, including fractions greater than 1.

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Concept
Set 1
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Practice
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Advanced
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Unit 3 Multiplying and Dividing Fractions

Students extend multiplication and division of whole numbers to multiply fractions by fractions and divide a whole number and a unit fraction.

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Concept
Set 1
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Practice
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Advanced
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Unit 4 Wrapping Up Multiplication and Division with Multi-digit Numbers

Students use the standard algorithm to multiply multi-digit whole numbers. They divide whole numbers up to four digits by two-digit divisors, using strategies based on place value and the properties of operations.

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Concept
Set 1
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Set 2
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Practice
Set 1
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Advanced
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Unit 5 Place Value Patterns and Decimal Operations

Students extend place value understanding to recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right. They use this to round, compare, order, add, subtract, multiply, and divide decimals.

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Concept
Set 1
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Set 2
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Practice
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Advanced
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Unit 6 More Decimal and Fraction Operations

Students solve multi-step problems involving measurement conversions, line plots, and fraction operations, including addition and subtraction of fractions with unlike denominators. They also explain patterns when multiplying and dividing by powers of 10 and interpret multiplication as scaling.

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Concept
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Set 2
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Practice
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Advanced
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Unit 7 Shapes on the Coordinate Grid

Students plot coordinate pairs on a coordinate grid and classify triangles and quadrilaterals in a hierarchy based on properties of side length and angle measure. They generate, identify, and graph relationships between corresponding terms in two numeric patterns and represent and interpret real world and mathematical problems on a coordinate grid.

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Concept
Set 1
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Set 2
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Practice
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Advanced
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Unit 8 Putting It All Together

Students consolidate and solidify their understanding of various concepts and skills related to major work of the grade. They also continue to work toward fluency goals of the grade.

📝 Worksheet ✅ Answer guide
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Concept
Set 1
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Set 2
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Practice
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Advanced
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Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.