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Year 5 Block A - Counting, partitioning and calculating

A summary of the content for Block A; counting, partitioning and calculating
The text in this diagram identifies the focus of mathematics learning within the block

 

 

The objectives for the block are listed in the table - the right hand column indicates how the objectives might be addressed in the units

Objectives

Units

1

2

3

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

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  • 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

 

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  • 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

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

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  • 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 plus over minus 2.7, half of 5.6, double 0.34)

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

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  • 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

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

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

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  • 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)

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

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  • Use a calculator to solve problems, including those involving decimals or fractions (e.g. to find three quarters 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

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