Short Blocks

Maths Year 5/6 Autumn Fractions

Each unit has everything you need to teach a set of related skills and concepts.

Order fractions; fractions of amounts (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Use a fraction wall to show equivalent fractions. Draw out that if we multiply the numerator and denominator by the same number, we derive an equivalent fraction. Demonstrate how we use this to simplify fractions by dividing the numerator and denominator by their highest common factor.
Group Activities
Y5/Y6 -- Use two number cards to make a fraction, and simplify, if possible.

Day 2 Teaching
Model comparing fractions with related denominators using Fractions ITP.
Further Teaching with Y6
Challenge children to prove which of two fractions with unrelated denominators is bigger. Show how to use common multiples to write both fractions as the same sort (with the same denominator).
Group Activities
Use the ‘Fraction pictures’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
Y5 -- Write lots of fractions equivalent to 1/2, then say whether fractions > or < 1/2, then > or < 1/3.
Y6 -- Compare pairs of fractions by changing one or both so they have the same denominator.

Day 3 Teaching
Use a bar model to show sevenths of children in a school. Find the number of children in reception (1/7), KS1 (2/7) and KS2 (4/7).
Group Activities
Y5 -- Draw bar models to find unit, then non-unit fractions of amounts.
Y6 -- Play fractions of amounts bingo, or use a bar model to help solve word problems finding non-unit fractions of amounts.

You Will Need

  • ‘Fraction wall’ (see resources)
  • Whiteboards and pens
  • Number cards 1–24
  • ITP: Fractions
  • Flipchart and pens
  • ‘Fraction cards’ sheets 1 and 2 (see resources)
  • Sheets of paper
  • ‘How many children are in each key stage?’ (see resources)
  • ‘Finding fractions of amounts’ (see resources)
  • ‘Fractions of amounts: Bingo game cards and questions’ (see resources)

Short Mental Workouts

Day 1
Count in quarters and eighths along a number line

Day 2
Common multiples

Day 3
Mental division

Worksheets

Day 1
Y5 Find equivalent fractions.
Y6 Find equivalent fractions.

Day 2
Y5 Compare fractions.
Y6 Write and compare pairs and trios of fractions with unrelated denominators.

Day 3
Y5 Find non-unit fractions of amounts.
Y6 Find non-unit fractions of amounts and calculate fractions of numbers, e.g. ☐/3 of 81 is 54.

Mastery: Reasoning and Problem-Solving

Y5

  • Write three fractions equivalent to 20/25. Describe any pattern in the denominators.
  • Write the missing numbers to make each sentence true.
    ☐/6 = 5/☐
    4/☐ < 5/☐
    ☐/6 > 7/10
  • Find 3/4 of 148:
148

Find 5/8 of 256:

256

Y6

  • Ben simplified three fractions. They all came out at 3/4. Suggest what they could have been.
  • True or false?
    - Any fraction which is simplified to give 1/3 has a numerator which is 3× the denominator.
    - 36/64 cannot be simplified to 4/9.
  • Write the missing numbers:
    ☐/6 = 4/☐
    6/☐ = ☐/20
    ☐/10 > 1/☐
    ☐/32 > ☐/8
  • Find 3/4 of 202:
202
  • 3/8 of 344 biscuits are wafers, 5/8 are chocolate. How many are there of each?

In-depth Investigation: Fraction Pictures
Children use knowledge of equivalent fractions to work out what fraction each shape is as part of the whole picture, and which shapes are the same size.

Extra Support

Y5
Do the Splits

Finding 1/4, 3/4, 1/3 and 2/3 of numbers

Fraction Families
Find equivalent fractions to 1/2, 1/3 and 1/4.

Y6
Fraction Families
Finding equivalent fractions within fraction families, e.g. quarters and eighths, thirds and sixths, fifths and tenths, sixths and twelfths