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Math - Common Core Standards
Fifth Grade
Number and Operations in Base Ten
Understand the Place Value System
5.NBT.A.1
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right and 1/10 of what it of what it represents in its place to the left.
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Place Value in Multi-Digit Numbers |
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Place Value Including Tenths and Hundredths |
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Place Value - Compare Digits |
5.NBT.A.2
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
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Multiply A Whole Number By Powers of Ten |
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Multiply Decimal Numbers By Powers of Ten |
5.NBT.A.3
Read, write, and compare decimals to thousandths.
5.NBT.A.3.A
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3.B
Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
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How Many Hundredths? |
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Which Decimal Number is the Smallest? |
5.NBT.A.4
Use place value understanding to round decimals to any place.
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Round Decimal Numbers |
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Place Value Chart with Decimals |
Perform operations with multi-digit whole numbers and with decimals to hundredths.
5.NBT.B.5
Fluently multiply multi-digit whole numbers using
the standard algorithm.
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Multiply Multiple Digits |
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Multiply More Multiple Digits |
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Multiply Using an Area Model |
5.NBT.B.6
Find whole-number quotients of whole numbers with up to
four-digit dividends and two-digit divisors, using strategies
based on place value, the properties of operations, and/or the
relationship between multiplication and division. Illustrate and
explain the calculation by using equations, rectangular arrays,
and/or area models.
5.NBT.B.7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
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Vocabulary for Long Division |
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Division With Remainders (Visual Prompts) |
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Division With Remainders (Visual Prompts) |
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Long Division |
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More Long Division |
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Check The Long Division Answers |
5.NBT.B.7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
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Decimal Addition - 1 digit |
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Decimal Addition - No Regrouping |
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Decimal Addition - 3 digits with Regrouping |
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Decimal Addition - 4 digits with Regrouping |
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Decimal Products - Area Model |
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