Short Blocks

Maths Year 5 Summer Fractions and Percentages

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

Begin to understand percentages (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Write on the board the symbol %. Ask children where they’ve seen this. Per cent means per or out of 100. Show a blank 100-square. Each square is 1% of the whole square. Write 1%. What fraction is this? Write 1/100. Shade the top row. What fraction is shaded? In tenths? In hundredths? Continue like this.
Group Activities
-- Identify equivalent percentages, fractions and decimals shaded on 100-squares.
-- Colour some 5 × 2 rectangles according to given percentages.

Day 2 Teaching
Write on the board two headings: ‘swimming’ and ‘cycling’. Ask ten children to stand next to their favourite. What fraction prefer swimming? Show a blank 100-square, shade this number of tenths. What is this as fraction out of 100? As a percentage? Repeat with different children and different sports.
Group Activities
Use the ‘Percentage puzzles’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Apply understanding of equivalent fractions, decimals and percentages to create a display of ‘mobiles’.

Day 3 Teaching
Display three word problems, all of which require that children recognise percentage and fraction equivalences, e.g. that 50% is equivalent to 1/2 and 25% is equivalent to 1/4. Solve the problems using equivalences.
Group Activities

-- Use blank 100-squares to help find percentages of 200 and 300
-- Find percentages of amounts. Use conversion to percentages to compare fractions with different denominators.
-- Find any percentage of an amount by using ‘key’ percentages as a starting point.

You Will Need

  • Whiteboards and pens
  • ‘Blank 100 grid’ (see resources)
  • ‘Percentages’ sheet (see resources)
  • Flipchart and pens
  • Squared paper and coloured pencils
  • ‘Mobile circles’ (see resources) printed on coloured card
  • String, pens, glue and scissors
  • Additional activity sheets (see resources)

Mental/Oral Maths Starters

Day 1
Divide by 10, 100 and 1000 (pre-requisite skills)

Day 2
Percentages (pre-requisite skills)

Suggested for Day 3
Multiply three numbers together (simmering skills)

Worksheets

Day 1
Write the percentage of each 100-square that is shaded, then an equivalent vulgar and decimal fraction.

Day 2
Convert fractions to percentages.

Day 3
Find percentages of amounts: multiples of 100.
Find percentages of amounts: multiples of 10 and 100.

Mastery: Reasoning and Problem-Solving

  • Explain what 10% means. Is 10% larger or smaller than 1/5?
  • Write the missing percentage in each of the bar models:
    Diagram 1:
60 Children
Walk 20%Cycle 50%Drive ?

Diagram 2:

24 Children
Crisps 75%Fruit ?
  • Now write the numbers of children in each category.
  • Write 10% of each price:
    £3.40 £5.10 £12 £9.90
    Now work out 40% of each price.
  • Aayush scored 13/20 on a test. Samar scored 70% on the same test. Which of them did better?

In depth Investigation: Percentage Puzzles
Children work systematically to find equivalent percentages of different amounts.

Extra Support

Go for 100%
Understanding what a percentage is and knowing equivalent percentages for half and tenths