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5.NF.3 – 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?
Samples: Simplifying answers to their lowest form. Solving (by division) improper fractions.
5.NF.7 – 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.)
5.NF.7.a – Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
Samples: Simple Quantities (fractions of whole numbers). Fractions of numbers - 1. Division - Answers as fractions.
Fractions and decimals
ACMNA127 – Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
Samples: Fractions of numbers. Simple Quantities (fractions of whole numbers). Fractions of numbers - 1.
7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)
Samples: Large numbers presented in tables. Reading large numbers. Write numbers – over one million (common).
KS2.Y5.N.MD – Number - multiplication and division
Pupils should be taught to:
KS2.Y5.N.MD.11 – Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates
Samples: Multiplying Multiples of 10 with a missing number. Problem Solving: Multiplication.
KS2.Y6.N.F – Number - Fractions (including decimals and percentages)
Pupils should be taught to:
KS2.Y6.N.F.6 – Divide proper fractions by whole numbers [for example, ⅓ ÷ 2 = ⅙ ]
Samples: Multiplying fractions by a whole number - visual. Division - Answers as fractions.