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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.
4.NF.3 – Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
4.NF.3.c – Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
Samples: Add Subtract Related Fractions USA. Converting Improper Fractions. Converting Mixed Numbers To Improper Fractions.
Fractions and decimals
ACMNA125 – Compare fractions with related denominators and locate and represent them on a number line
Samples: Equivalence to a half - identifying the numerator. Compare fractions to a half.
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.F – Number - fractions (including decimals and percentages)
Pupils should be taught to:
KS2.Y5.N.F.3 – Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, ⅖ + ⅘ = 6/5 = 1 ⅕ ]
Samples: Converting Mixed Numbers To Improper Fractions. Converting Improper Fractions. Adding mixed fractions.