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Grade 5 · typical sequence

Grade 5 pre-algebra foundations

Connect fraction and decimal operations to volume, coordinates, patterns, and numerical expressions.

number operations

Decimals and fraction operations

  • decimal place value
  • fraction addition and multiplication
  • division of unit fractions
algebraic thinking

Expressions and patterns

  • numerical expressions
  • coordinate patterns
  • relationships between sequences
measurement geometry

Volume and coordinate geometry

  • volume models
  • unit conversion
  • first-quadrant coordinates

Practice inventory

16 deterministic activities are available now.

Available

Evaluate grouped expressions

Evaluate the innermost grouped calculation before applying outside operations.

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Compare two patterns

Generate corresponding terms and describe a relationship between two rules.

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Shift by powers of ten

Explain how a digit value changes by a factor of ten from one place to the next.

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Round a decimal

Use neighboring decimal benchmarks and place value to round to a requested place.

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Multiply multi-digit numbers

Combine place-value partial products accurately.

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Divide by a two-digit divisor

Estimate and verify quotients using multiplication.

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Add and subtract decimals

Align equal place values before combining decimal quantities.

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Multiply decimals

Use whole-number products and reason about decimal place value.

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Add unlike-denominator fractions

Rename fractions with a common denominator before combining them.

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Solve a fraction story

Model fractions referring to the same whole and check reasonableness.

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Interpret a fraction as division

Connect sharing whole numbers to numerator divided by denominator.

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Multiply fractions

Multiply numerators and denominators while tracking the size of the result.

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Divide with a unit fraction

Use how many fractional units fit and the inverse relationship with multiplication.

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Find prism volume

Connect layers of unit cubes to length times width times height.

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Locate a coordinate point

Read horizontal x-distance before vertical y-distance.

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Use a shape hierarchy

Recognize that a figure can belong to every category whose properties it satisfies.