Progression maps: Number – Mental calculation
- Step 1
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- Objective 1: Know by heart all addition and subtraction facts for each number to 20.
- Objective 2: Add and subtract mentally a 'near multiple of 10' to or from a two-digit number.
- Objective 3: Understand division as grouping or sharing and recognise that division is the inverse of multiplication.
- Objective 4: Know by heart facts for the 2, 5 and 10 multiplication tables.
- Step 2
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- Objective 1: Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers.
- Objective 2: Know by heart multiplication facts for the 2, 3, 4, 5 and 10 times tables.
- Objective 3: Derive quickly division facts corresponding to the 2, 3, 4, 5 and 10 multiplication tables.
- Objective 4: Find remainders after division.
- Step 3
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- Objective 1: Know by heart all multiplication facts up to 10 × 10.
- Objective 2: Find differences by counting up through next multiple of 10, 100 or 1000, e.g. calculate mentally a difference such as 8006 – 2993.
- Objective 3: Use known number facts and place value to consolidate mental addition and subtraction.
- Step 4
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- Objective: Derive quickly division facts corresponding to multiplication tables up to 10 × 10.
- Step 5
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Objective: Consolidate and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings; solve simple word problems mentally.
- Step 6
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- Objective: Consolidate and extend mental methods of calculation, working with decimals, fractions and percentages, squares and square roots, cubes and cube roots; solve word problems mentally.
- Step 7
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- Objective: Make and justify estimates and approximations of calculations.
- Step 8
- Step 9
- Step 10
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