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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.5 – Interpret multiplication as scaling (resizing), by:
5.NF.5.b – Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
Samples: Multiplying fractions by a whole number - visual. Multiplying Fractions - Fraction by Fraction.
You can go to an overview of all the curricula here.
6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:
6.NA.1.b – Find fractions of sets, shapes, and quantities
Samples: Dividing by 6. Dividing by 6. Dividing by 7. Dividing by 7. Dividing by 8. Dividing by 8. Dividing by 9. Division 9's.
KS2.Y4.N.F – Number - fractions (including decimals)
Pupils should be taught to:
KS2.Y4.N.F.3 – Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number
Samples: Adding fractions - Tenths and Hundredths. Multiplying fractions by a whole number - visual.
KS2.Y5.N.F – Number - fractions (including decimals and percentages)
Pupils should be taught to:
KS2.Y5.N.F.5 – Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Samples: Multiplying fractions by a whole number - visual. Multiplying Mixed Fractions.
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.