Math Ladder · Elementary · Grade 5

Grade 5

Fractions with unlike denominators, multiplying and dividing fractions and decimals, volume and the coordinate plane.

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46 topics in 10 units. Builds on Grade 4. Leads to Grade 6. Not sure this is the right course? Find your rung.

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Unit 1 Expressions and Patterns

4 topics

Use grouping symbols, write expressions from words, and compare two patterns.

  1. Order of Operations
  2. Parentheses, Brackets and Braces
  3. Writing Expressions from Words
  4. Prime Factorization

Unit 2 Place Value and Decimals

6 topics

See how places relate by tens, use powers of 10, and read, compare and round decimals to thousandths.

  1. Ten Times and One Tenth
  2. Powers of 10
  3. Multiplying and Dividing by Powers of 10
  4. Decimals to Thousandths
  5. Comparing Decimals to Thousandths
  6. Rounding Decimals

Unit 3 Multiplying and Dividing Whole Numbers

2 topics

Multiply with the standard algorithm and divide by two-digit numbers.

  1. The Standard Multiplication Algorithm
  2. Dividing by Two-Digit Numbers

Unit 4 Operations with Decimals

7 topics

Add, subtract, multiply and divide decimals to hundredths, and explain where the decimal point goes.

  1. Adding and Subtracting Decimals
  2. Multiplying a Decimal by a Whole Number
  3. Multiplying Two Decimals
  4. Dividing a Decimal by a Whole Number
  5. Dividing by a Decimal
  6. Estimating with Decimals
  7. Decimal Word Problems

Unit 5 Adding and Subtracting Fractions

5 topics

Use equivalent fractions to add and subtract fractions and mixed numbers with unlike denominators.

  1. Finding Common Denominators
  2. Adding Fractions with Unlike Denominators
  3. Subtracting Fractions with Unlike Denominators
  4. Mixed Numbers with Unlike Denominators
  5. Fraction Word Problems and Estimates

Unit 6 Multiplying and Dividing Fractions

10 topics

Multiply fractions, see multiplying as scaling, and divide with unit fractions.

  1. A Fraction Is a Division
  2. Fractions and Decimals
  3. Fraction of a Number
  4. Multiplying Fractions
  5. Area with Fraction Side Lengths
  6. Multiplying as Scaling
  7. Multiplying Mixed Numbers
  8. Dividing a Unit Fraction by a Whole Number
  9. Dividing a Whole Number by a Unit Fraction
  10. Fraction Division Word Problems

Unit 7 Conversions and Line Plots

2 topics

Convert units within a system and use fraction operations on line plots.

  1. Converting Units in Multistep Problems
  2. Line Plots and Fraction Operations

Unit 8 Volume

5 topics

Measure volume with unit cubes and use V = l × w × h.

  1. Volume with Unit Cubes
  2. Volume of a Rectangular Prism
  3. Volume as Base Area Times Height
  4. Volume of Combined Prisms
  5. Volume Word Problems

Unit 9 The Coordinate Plane

3 topics

Plot points with ordered pairs and graph patterns.

  1. Points on the Coordinate Plane
  2. Graphing Points in a Problem
  3. Comparing Two Patterns

Unit 10 Classifying Shapes

2 topics

Sort two-dimensional figures in a hierarchy by their properties.

  1. The Family Tree of Shapes
  2. Properties Pass Down
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