Short Blocks

Maths Year 5/6 Spring Calculation

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

Use of brackets in calculation (suggested as 2 days)

Planning and Activities

Day 1 Teaching
Write 4 + 3 × 12. Ask half the class to work from left to right and others work beginning with the 3, i.e. 3 × 12 + 4. Discuss different answers. Introduce the rules: Brackets, then multiplication/division, then addition/subtraction. Repeat with calculations 4 + 16 ÷ 2 and (4 + 16) ÷ 2.
Group Activities: T with Y6
Y5 -- Explore different orders of addition, multiplication and brackets.
Y6 -- Use three or more number cards 2–9 to create calculations; solve using correct order of operations.

Day 2 Teaching
Explore the order of operations using brackets, for example, (15 + 2) × 4 and 15 + (2 × 4). Discuss how putting the brackets in different places can alter the answer to a calculation. Write 12 + 8 ÷ 4 – 3. Children work in pairs to find the (only) correct answer (11), then other possibilities by using brackets.
Group Activities: T with Y5
Use the in-depth problem-solving investigation ‘All at 6s and 7s’ as today’s group activity.
Or, use these activities:
Y5 -- Use numbers 1, 2 and 3 with any operations/brackets, to make all numbers from 0 to 9. Use just the number 3 repeatedly with any operations/brackets, to make all numbers from 0 to 10.
Y6 -- Use just the number 3 repeatedly with any operations/brackets, to make all numbers from 0 to 10. Use numbers 6, 2, 3, 4 in sequence to make whole numbers.

Short Mental Workouts

Day 1
Mental division

Day 2
Find intervals using 24-hour clock

Worksheets

Day 1
Y5: Solve calculations, observing brackets and the correct order of operations.
Y6: Solve calculations, observing brackets and the correct order of operations.

Day 2
Y5: Place brackets to create correct number sentences.
Y6: Place brackets to create correct equalities.

Mastery: Reasoning and Problem-Solving

Y5 and Y6

  • In relation to multi-part calculations, agree if these statements are true or false:
    -- We leave the part in brackets until last.
    -- It does not matter which order you do the parts of the calculation not in brackets.
    -- We should always do the easiest parts of a calculation first.
    -- 12 + (3 × 4) gives the same answer if the brackets are removed.
  • Put a pair of brackets in three different places in this calculation to give three different answers:
    4 + 5 × 12 – 7 = ☐
  • Write a word problem involving the numbers 5, 6, and 12 and the answer 132. (Hint, you will need to use brackets in the final calculation.)

In-depth Investigation: All at 6s and 7s
Children try to make every number to at least 10 using 6, 7 and sometimes 2 and 3, and any operations.

Extra Support

Y5 and Y6: Order, Order!
Practising ordering calculations involving brackets, +, −, × and ÷.