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KS2.Y3.N.F – Number - fractions
Pupils should be taught to:
KS2.Y3.N.F.4 – Recognise and show, using diagrams, equivalent fractions with small denominators
Samples: Equivalence - halves, quarters and eighths tutorial. Modelling equivalent fractions.
KS2.Y4.N.F – Number - fractions (including decimals)
Pupils should be taught to:
KS2.Y4.N.F.1 – Recognise and show, using diagrams, families of common equivalent fractions
Samples: Matching equivalent fractions. Equivalence - halves, quarters and eighths tutorial.
KS2.Y5.N.F – Number - fractions (including decimals and percentages)
Pupils should be taught to:
KS2.Y5.N.F.2 – Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
Samples: Equivalence - halves, quarters and eighths tutorial. Matching equivalent fractions.
Fractions and decimals
ACMNA077 – Investigate equivalent fractions used in contexts
Samples: Equivalence - halves, quarters and eighths tutorial. Identifying fractions tutorial.
ACMNA078 – Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line
Samples: Equivalence - halves, quarters and eighths tutorial. Modelling equivalent fractions.
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. Share between three. Problem solving: Dividing by 3. Dividing by 4. Problem solving: Dividing by 4.
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 - Problem Solving : activity 1. Problem solving: Dividing by 6. Dividing by 7.
Mathematics
4.NF.1 – Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Samples: Equivalence - halves, quarters and eighths tutorial. Matching equivalent fractions.
Mathematics
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 - halves, quarters and eighths tutorial. Matching equivalent fractions using fraction models.
3.NF.3.b – Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Samples: Matching equivalent fractions using fraction models. Equivalence - halves, quarters and eighths tutorial.
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 tutorial. Dividing groups into halves and quarters tutorial.
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 (<, =, >).