### 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.