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Mathematics
4.NF.4 – Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
4.NF.4.a – 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).
Samples: Multiplying fractions by a whole number - visual. Fractions of numbers.
4.NF.4.b – 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.)
Samples: Multiplying fractions by a whole number - visual. Fractions of numbers.
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.
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.Y6.RP – Ratio and proportion
Pupils should be taught to:
KS2.Y6.RP.2 – Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison
Samples: Simple Quantities (fractions of whole numbers). Fractions of numbers - 1. Simple fractions of quantities.