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Math · Grade 5 Math · Unit 5

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.

Worksheets

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Unit
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Concept
Set 1
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Set 2
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Practice
Set 1
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Set 2
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Set 3
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Set 4
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Advanced
Set 1
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Set 2
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Set 3
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Set 4
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What this unit covers

A Numbers to Thousandths · 10 lessons
Goals
  • Compare, round, and order decimals through the thousandths place based on the value of the digits in each place.
  • Read, write, and represent decimals to the thousandths place, including in expanded form.
Lessons
  1. What Is a Thousandth?
  2. Thousandths on Diagrams and in Words
  3. Thousandths in Expanded Form
  4. Explore Place Value Relationships (Optional)
  5. Compare Decimals
  6. Compare Decimals on the Number Line
  7. Round Doubloons
  8. Round Decimals
  9. Order Decimals
  10. Solve Problems with Decimals
B Add and Subtract Decimals · 6 lessons
Goals
  • Add and subtract decimals to the hundredths using strategies based on place value.
Lessons
  1. Make Sense of Decimal Addition
  2. Estimate and Add
  3. Analyze Addition Mistakes
  4. Make Sense of Decimal Subtraction
  5. Estimate and Subtract
  6. Addition and Subtraction
C Multiply Decimals · 5 lessons
Goals
  • Multiply decimals with products resulting in the hundredths using place value reasoning and properties of operations.
Lessons
  1. Multiply Decimals and Whole Numbers
  2. Use Whole Number Facts
  3. Use Properties to Multiply Decimals
  4. Products in the Hundredths Place
  5. Multiply More Decimals
D Divide Decimals · 5 lessons
Goals
  • Divide decimals with quotients resulting in the hundredths using place value reasoning and properties of operations.
Lessons
  1. Divide Whole Numbers by 0.1 and 0.01
  2. Divide Whole Numbers by Decimals
  3. Divide Decimals by Whole Numbers
  4. Divide Decimals by Decimals
  5. Book Fair (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 5 Math · Unit 4 Wrapping Up Multiplication and Division with Multi-digit Numbers
Open unit →
← Unit 4 See the whole map Unit 6 →

Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.