Mathematics Standards
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Add a Domain
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Counting and Cardinality
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Interpreting Categorical and Quantitative Data
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Modeling with Geometry
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Number and Operations in Base Ten
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Number and Operations—Fractions
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Using Probability to Make Decisions
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Showing 61 - 70 of 131 Standards
Standard Identifier: 5.NBT.3.b
Grade:
5
Domain:
Number and Operations in Base Ten
Cluster:
Understand the place value system.
Standard:
Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Understand the place value system.
Standard:
Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Standard Identifier: 5.NBT.4
Grade:
5
Domain:
Number and Operations in Base Ten
Cluster:
Understand the place value system.
Standard:
Use place value understanding to round decimals to any place.
Understand the place value system.
Standard:
Use place value understanding to round decimals to any place.
Standard Identifier: 5.NBT.5
Grade:
5
Domain:
Number and Operations in Base Ten
Cluster:
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
Fluently multiply multi-digit whole numbers using the standard algorithm.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
Fluently multiply multi-digit whole numbers using the standard algorithm.
Standard Identifier: 5.NBT.6
Grade:
5
Domain:
Number and Operations in Base Ten
Cluster:
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
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.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
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.
Standard Identifier: 5.NBT.7
Grade:
5
Domain:
Number and Operations in Base Ten
Cluster:
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
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.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard:
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.
Standard Identifier: 5.NF.1
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Use equivalent fractions as a strategy to add and subtract fractions.
Standard:
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
Use equivalent fractions as a strategy to add and subtract fractions.
Standard:
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
Standard Identifier: 5.NF.2
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Use equivalent fractions as a strategy to add and subtract fractions.
Standard:
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
Use equivalent fractions as a strategy to add and subtract fractions.
Standard:
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
Standard Identifier: 5.NF.3
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
Standard Identifier: 5.NF.4.a
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
Standard Identifier: 5.NF.4.b
Grade:
5
Domain:
Number and Operations—Fractions
Cluster:
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
Showing 61 - 70 of 131 Standards
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