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3.G.2 – Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
Samples: Fractions of an area. Identifying fractions. Matching equivalent fractions using fraction models.
3.NF.3 – Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.3.a – Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Samples: Equivalence. Matching equivalent fractions using fraction models. Matching equivalent fractions.
3.NF.3.c – Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
Samples: Halves, Thirds and Quarters. Identifying Fractions. Dividing groups into halves and quarters.
3.NF.3.d – Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Samples: Comparing fractions as quantities. Compare fractions: using comparison symbols (<, =, >). Equivalence.
Fractions and decimals
ACMNA077 – Investigate equivalent fractions used in contexts
Samples: Fractions of an area. Comparing fractions as quantities. Comparing fractions - 1 whole. Equivalence.
5.NA.1 – Apply additive and simple multiplicative strategies and knowledge of symmetry to:
5.NA.1.b – find fractions of sets, shapes, and quantities
Samples: Dividing by 3. Dividing by 3. Dividing by 4. Dividing by 4. Dividing by 6. Dividing by 6. Dividing by 7. Dividing by 7.
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.Y3.N.F – Number - fractions
Pupils should be taught to:
KS2.Y3.N.F.2 – Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
Samples: Fractions of an area. Comparing fractions as quantities. Fractions - Area.