Mathematics Standards
Results
Showing 51 - 60 of 111 Standards
Standard Identifier: 4.NF.4.a
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
Standard Identifier: 4.NF.4.b
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
Standard Identifier: 4.NF.4.c
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Standard:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
Standard Identifier: 4.NF.5
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Understand decimal notation for fractions, and compare decimal fractions.
Standard:
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Footnote:
Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.
Understand decimal notation for fractions, and compare decimal fractions.
Standard:
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Footnote:
Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.
Standard Identifier: 4.NF.6
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Understand decimal notation for fractions, and compare decimal fractions.
Standard:
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
Understand decimal notation for fractions, and compare decimal fractions.
Standard:
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
Standard Identifier: 4.NF.7
Grade:
4
Domain:
Number and Operations—Fractions
Cluster:
Understand decimal notation for fractions, and compare decimal fractions.
Standard:
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using the number line or another visual model. CA
Understand decimal notation for fractions, and compare decimal fractions.
Standard:
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using the number line or another visual model. CA
Standard Identifier: 5.MD.1
Grade:
5
Domain:
Measurement and Data
Cluster:
Convert like measurement units within a given measurement system.
Standard:
Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real-world problems.
Convert like measurement units within a given measurement system.
Standard:
Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real-world problems.
Standard Identifier: 5.MD.2
Grade:
5
Domain:
Measurement and Data
Cluster:
Represent and interpret data.
Standard:
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.
Represent and interpret data.
Standard:
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.
Standard Identifier: 5.MD.3.a
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.
Standard Identifier: 5.MD.3.b
Grade:
5
Domain:
Measurement and Data
Cluster:
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard:
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
Showing 51 - 60 of 111 Standards
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