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.
KS2.Ma2.2.f – Recognise the equivalence between the decimal and fraction forms of one half, quarters, tenths and hundredths; understand that 'percentage' means the 'number of parts per 100' and that it can be used for comparisons; find percentages of whole number quantities, using a calculator where appropriate
Samples: Equivalent Fractions. Representing fractions a percentages tutorial. Changing mixed fractions to decimals.
Fractions and decimals
ACMNA077 – Investigate equivalent fractions used in contexts
Samples: Equivalence - halves, quarters and eighths tutorial. Identifying fractions tutorial.
Fractions and decimals
ACMNA103 – Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
Samples: Adding fraction with common denominators tutorial. Equivalent Fractions.
ACMNA105 – Compare, order and represent decimals
Samples: Equivalent Fractions. Placing decimals on a number line tutorial. Compare and order decimals: Activity 1.
Fractions and decimals
ACMNA125 – Compare fractions with related denominators and locate and represent them on a number line
Samples: Fractions on a number line: Activity 1. Equivalent Fractions. Reducing a fraction to its simplest form tutorial.
ACMNA127 – Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
Samples: Equivalent Fractions. Reducing a fraction to its simplest form tutorial.
ACMNA131 – Make connections between equivalent fractions, decimals and percentages
Samples: Equivalent Fractions. Reducing a fraction to its simplest form tutorial. Changing mixed fractions to decimals.
Real numbers
ACMNA152 – Compare fractions using equivalence. Locate and represent fractions and mixed numerals on a number line
Samples: Equivalent Fractions. Reducing a fraction to its simplest form tutorial.
ACMNA157 – Connect fractions, decimals and percentages and carry out simple conversions
Samples: Equivalent Fractions. Representing fractions a percentages tutorial.
7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)
Samples: Ordering large numbers. Numbers. Addition of three digit numbers. Adding three numbers. Times tables revision.
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.
4.NF.2 – Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Samples: Identifying fractions tutorial. Identifying fractions tutorial. Equivalent Fractions.
Mathematics
4.NF.5 – Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. (Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.) For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Samples: Equivalent Fractions. Recording hundredths as fractions, decimals and percentages tutorial.
4.NF.6 – Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
Samples: Equivalent Fractions. Representing fractions a percentages tutorial.
Mathematics
5.NF.1 – Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
Samples: Identifying fractions tutorial. Equivalent Fractions. Adding fraction with common denominators tutorial.