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Mathematics
5.NF.6 – Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Samples: Fractions of numbers. Fractions of numbers - 1. Multiplying fractions. Fractions of numbers - 2.
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.
Mathematics
4.NF.4 – Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
4.NF.4.c – 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?
Samples: Fractions of numbers - 1. Multiplying fractions. Fractions of numbers - 2. Fractions Problem Solving.
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.Y5.N.F – Number - fractions (including decimals and percentages)
KS2.Y5.N.F.8 – Round decimals with 2 decimal places to the nearest whole number and to 1 decimal place
KS2.Y5.N.F.12 – Solve problems which require knowing percentage and decimal equivalents of ½ , ¼ , ⅕ , ⅖ , ⅘ and those fractions with a denominator of a multiple of 10 or 25
Samples: Calculating Percentages. Fractions of numbers - 1. Percentages of numbers (answers whole numbers).
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.