Learning Domain: Number and Operations - 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.)

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Learning Domain: Number and Operations - 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.

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Learning Domain: Number and Operations - Fractions

Standard: Interpret a fraction as division of the numerator by the denominator (a/b = a Ö 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?

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Learning Domain: Number and Operations - Fractions

Standard: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

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Learning Domain: Number and Operations - Fractions

Standard: Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Interpret multiplication as scaling (resizing) by:

Degree of Alignment:
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Learning Domain: Number and Operations - Fractions

Standard: Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Degree of Alignment:
Not Rated
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Learning Domain: Number and Operations - Fractions

Standard: Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.)

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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.)

Degree of Alignment:
Not Rated
(0 users)

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.

Degree of Alignment:
Not Rated
(0 users)

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?

Degree of Alignment:
Not Rated
(0 users)

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.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions

Standard: Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Interpret multiplication as scaling (resizing) by:

Degree of Alignment:
Not Rated
(0 users)

Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions

Standard: Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions

Standard: Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.)

Degree of Alignment:
Not Rated
(0 users)

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