Knowledge, skills and understanding
Numbers and the number system
KS2.Ma2.2 – Pupils should be taught to:
Fractions, percentages and ratio
KS2.Ma2.2.e – Understand simple equivalent fractions and simplify fractions by cancelling common factors; compare and order simple fractions by converting them to fractions with a common denominator, explaining their methods and reasoning
Samples: Identifying fractions tutorial. Recognizing and naming hundredths tutorial.
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: Equivalence - halves, quarters and eighths tutorial. Identifying fractions tutorial.
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. Equivalent Fractions.
Mathematics
3.NF.2 – Understand a fraction as a number on the number line; represent fractions on a number line diagram.
3.NF.2.a – Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
Samples: Equivalence - halves, quarters and eighths tutorial. Fractions on a number line: Activity 1.
3.NF.2.b – Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.
Samples: Equivalence - halves, quarters and eighths tutorial. Fractions on a number line: Activity 1.
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. Identifying fractions tutorial.
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: Equivalence - halves, quarters and eighths tutorial. Identifying fractions tutorial. Fractions and times tables.