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Year 5 Block A – Counting, partitioning and calculating

The focuses of mathematics learning within this block are:

• 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
The objectives for the block are listed in the table – the right hand column indicates how the objectives might be addressed in the units
ObjectivesUnit 1Unit 2Unit 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
Use knowledge of rounding, place value, number facts and inverse operations to estimate and check calculations