Short Blocks

Maths Year 5/6 Summer Revision Menu B

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

Fractions, ratio and percentages (suggested as 4 days)

Planning and Activities

Day 1
Adapt a recipe, keeping the same ratios. Calculate missing side lengths of rectangles with given ratio.
Further Teaching with Y6
Calculate dimensions of scaled drawing of a garden. Share today’s ‘Top tip for tests’.
Group Activities: T with Y6
Y5 -- Draw sets of rectangles with given ratios of side lengths.
Y6 -- Solve ratio and scaling problems.

Day 2
Find equivalent fractions, then write fractions as the ‘same type’ (with the same denominator).
Further Teaching with Y6
Play a game adding and subtracting fractions. Share today’s ‘Top tip for tests’.
Group Activities: T with Y6
Y5 -- Find equivalent fractions on a fraction wall.
Y6 -- Use equivalence to add and subtract fractions less than 1.
-- Use equivalence to add and subtract fractions, including mixed numbers.

Day 3
Children look for fractions greater than 1, then greater than 2. Discuss improper fractions and mixed numbers. Children rewrite improper fractions as mixed numbers.
Further Teaching with Y6
Remind children of the quick way to multiply pairs of fractions. Demonstrate using pizza image. Use the same image to divide a fraction by a whole number. Share today’s ‘Top tips for tests’.
Group Activities: T with Y6
Y5 -- Write fractions between 1 and 2, 2 and 3, then 3 and 4.
Y6 -- Multiply pairs of fractions. Divide fractions by whole numbers.

Day 4
Use bar models to help find unit fractions, then non-unit fractions, of 10 times tables facts, e.g. 350, 420, 540.
Further Teaching with Y6
Find key percentages (10%, 1% and 50%); then other percentages of amounts. Share today’s ‘Top tip for tests’.
Group Activities: T with Y6
Y5 Use the in-depth problem-solving investigation ‘Calculating colours’ from The Royal Institution as today’s group activity.
Or, use these activities:
-- Choose multiples of 10; use tables facts to help decide what unit and non-unit fractions of those amounts to find.
Y6 -- Calculate fractions and percentages of numbers and measures including money.

You Will Need

  • Mini-whiteboards and pens
  • Access to the internet
  • cm2 paper
  • Interlocking cubes
  • ‘Ratio and scale problems’ Sheets 1 and 2 (see resources)
  • ‘Fraction wall’ (see resources)
  • ‘Grid of fractions’ (see resources)
  • ‘Adding and subtracting fractions’ (see resources)
  • ‘Multiplying and dividing fractions’ (see resources)
  • Flipchart and pens
  • ‘Finding fractions and percentages’ (see resources)

Short Mental Workouts

Day 1
Convert 24-hr clock to 12-hr clock times

Day 2
Simplify fractions

Day 3
Count in steps of 1/8

Day 4
Find non-unit fractions of amounts

Worksheets

Day 1
Y5: Solve ratio problems.
Y6: Solve ratio and scaling problems.

Day 2
Y5: Write missing numerators in pairs of equivalent fractions.
Y6: Add and subtract fractions.

Day 3
Y5: Write improper fractions as mixed numbers and vice versa.
Y6: Multiply pairs of fractions, in and out of context. Divide fractions by whole numbers, in and out of context.

Day 4
Y5: Find unit and non-unit fractions of amounts.
Y6: Find fractions and percentages of numbers, measures and amounts of money. Solve problems.

Mastery: Reasoning and Problem-Solving

Y5

  • Write three fractions equivalent to 3/5.
    Look at the pattern in the denominators.
    Then write three fractions equivalent to 2/3 and do the same. What can you predict about the pattern in the denominators of fractions equivalent to 5/6?
  • Write the missing numbers to make each sentence true.
    ?/6 > 7/12
    ?/6 = 5/?
    4/? < 5/?
  • Draw a bar model to represent each problem. Then find the answer.
    (i) 1/3 of 153
    (ii) 1/6 of 612
    (iii) 7/12 of 144
  • Find 3/5 of each of:
    (a) 105 (b) 205 (c) 305.
    Use the pattern to predict the answer to 3/5 of 405.
    Check your answer.

Y6

  • The Blackpool Tower is 160 metres tall and 31 metres wide at its base. Ally makes a scale model of the tower. Her model is 32 centimetres tall. How wide is the base of her model?
  • A square of side length a has an area = 16cm². Another square, of side length b, has an area = 100cm². What is the ratio of their side lengths, a : b?
  • Write these numbers in order, starting with the smallest:
    7/10, 0.6, 2/5, 50/100
  • Emilia scores 40 out of 70 in a test. Jay scores 55% in the same test. Who has the higher score? Explain how you know.
  • Write these numbers in order, starting with the smallest:
    0.43, 3/4, 34%, 4/3, 3.4

Y5 In-depth investigation: Calculating Colours
Children will gain practical experience of combining coloured solutions in varying proportions then describe solutions in terms of fractional (and percentage) composition. Calculating Colours from The Royal Institution.

Extra Support

Y5: Car Wash
Exploring dividing money in 3:1 and 3:2 ratios.

Fraction Facts
Finding simple unit and related non-unit fractions of amounts (1/3s, 1/4s and 1/5s).