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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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Next in Grade 5 Math
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.
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
What Is a Thousandth? Thousandths on Diagrams and in Words Thousandths in Expanded Form Explore Place Value Relationships (Optional) Compare Decimals Compare Decimals on the Number Line Round Doubloons Round Decimals Order Decimals 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
Make Sense of Decimal Addition Estimate and Add Analyze Addition Mistakes Make Sense of Decimal Subtraction Estimate and Subtract 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
Multiply Decimals and Whole Numbers Use Whole Number Facts Use Properties to Multiply Decimals Products in the Hundredths Place 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
Divide Whole Numbers by 0.1 and 0.01 Divide Whole Numbers by Decimals Divide Decimals by Whole Numbers Divide Decimals by Decimals 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