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# Year 6 Block A – Counting, partitioning and calculating

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

• Mental calculations
• Efficient written methods: whole numbers and decimals
• Ordering, partitioning and rounding decimals to 3 places: +ve and -ve integers
• Solving multi-step word problems involving numbers, money or measures
• Explaining reasoning and conclusions, orally and on paper, using words, diagrams, symbols
• Multiplication and division
• Mental methods: TU × U, TU ÷ U and special cases
• Written methods: TU × TU, HTU × TU, HTU ÷ U, multiplying and dividing decimals by one-digit integer
• 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
Objectives Unit 1 Unit 2 Unit 3
Explain reasoning and conclusions, using words, symbols or diagrams as appropriate
Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage, including calculator use
Find the difference between a positive and a negative integer, or two negative integers, in context
Use decimal notation for tenths, hundredths and thousandths; partition, round and order decimals with up to three places, and position them on the number line
Use knowledge of place value and multiplication facts to 10 × 10 to derive related multiplication and division facts involving decimals (e.g. 0.8 × 7, 4.8 ÷ 6)
Calculate mentally with integers and decimals: U.t ± U.t, TU × U, TU ÷ U, U.t × U, U.t ÷ U
Use efficient written methods to add and subtract integers and decimals, to multiply and divide integers and decimals by a one-digit integer, and to multiply two-digit and three-digit integers by a two-digit integer
Use a calculator to solve problems involving multi-step calculations
Use approximations, inverse operations and tests of divisibility to estimate and check results