# Year 5 Block A – Counting, partitioning and calculating

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## The focuses of mathematics learning within this block are:

- Addition and subtraction
- Mental methods: special cases
- Written methods: whole numbers and decimals

- Ordering, partitioning and rounding numbers and decimals to 2 places

- Solving one- and two-step word problems involving numbers, money or measures

- Explaining methods and reasoning, orally and on paper, using words, diagrams, graphs, symbols

- Multiplication and division
- Tables to 10 × 10; multiplying multiples of 10 or 100; factors
- Mental methods: TU × U and special cases
- Written methods: HTU × U, TU × U, U.t × U, HTU ÷ U

- Using a calculator

Objectives | Unit 1 | Unit 2 | Unit 3 |
---|---|---|---|

Explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols | |||

Solve one-step and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies, including calculator use | |||

Count from any given number in whole-number and decimal steps, extending beyond zero when counting backwards; relate the numbers to their position on a number line | |||

Explain what each digit represents in whole numbers and decimals with up to two places, and partition, round and order these numbers | |||

Use knowledge of place value and addition and subtraction of two-digit numbers to derive sums and differences and doubles and halves of decimals (e.g. 6.5 ± 2.7, half of 5.6, double 0.34) | |||

Use efficient written methods to add and subtract whole numbers and decimals with up to two places | |||

Recall quickly multiplication facts up to 10 × 10 and use them to multiply pairs of multiples of 10 and 100; derive quickly corresponding division facts | |||

Identify pairs of factors of two-digit whole numbers and find common multiples (e.g. for 6 and 9) | |||

Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000 | |||

Extend mental methods for whole-number calculations, for example to multiply a two-digit by a one-digit number (e.g. 12 × 9), to multiply by 25 (e.g. 16 × 25), to subtract one near multiple of 1000 from another (e.g. 6070 - 4097) | |||

Refine and use efficient written methods to multiply and divide HTU × U, TU × TU, U.t × U and HTU ÷ U | |||

Use a calculator to solve problems, including those involving decimals or fractions (e.g. to find ^{3}/_{4} of 150g); interpret the display correctly in the context of measurement |
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Use knowledge of rounding, place value, number facts and inverse operations to estimate and check calculations |