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Mathematics
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.
5.NF.7.c – Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
Samples: Division - Answers as fractions. Dividing whole numbers by fractions. Divide whole numbers by 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.Y4.N.F – Number - fractions (including decimals)
Pupils should be taught to:
KS2.Y4.N.F.10 – Solve simple measure and money problems involving fractions and decimals to 2 decimal places
Samples: Divide whole numbers by fractions. Multiplying Decimals By A Single Digit Number. Fractions of numbers - 1.
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.