Support (from Y7 teaching programme)
• Consolidate and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings
• Multiply and divide three-digit by two-digit whole numbers; extend to multiplying and dividing decimals with one or two places by single-digit whole numbers.
• Carry out calculations with more than one step using brackets and the memory |
Core (from Y8 teaching programme)
• Understand addition and subtraction of fractions and integers, and multiplication and division of integers; use the laws of arithmetic and inverse operations.
• Round positive numbers to any given power of 10
• Enter numbers and interpret the display in different contexts (negative numbers, fractions, decimals, percentages, money, metric measures, time)
• Consolidate standard column procedures for addition and subtraction of integers
• Use the order of operations, including brackets, with more complex calculations
• Consolidate & extend mental methods of calculation, working with squares & square roots, cubes & cube roots; solve word problems mentally.
• Make and justify estimates and approximations of calculations
• Use standard column procedures for multiplication and division of integers and decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations .
• Check a result by considering whether it is of the right order of magnitude and by working the problem backwards
• Carry out more difficult calculations effectively and efficiently using the function keys for sign change, powers, roots and fractions; use brackets and the memory. |
Extension (from Y9 teaching programme)
• Extend mental methods of calculation, working with decimals, fractions, percentages, factors, powers and roots
• Multiply and divide by decimals, dividing by transforming to division by an integer
• Use a calculator efficiently and appropriately to perform complex calculations with numbers of any size, knowing not to round during intermediate steps of a calculation |
Becta
~ Reach the target
MAP
~ Number problems to explore
~ Number situations
~ Cuisenaire factors
KS3 (L3-L5 book)
~ Mental skills to L5
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Mymaths
Various from four boosters
Rounding to 10, 100
Adding in Columns
Subtraction Columns
MAP
~ Where's the point?
~ Misplaced Points
KS3 Y8 Intervention
~ 8N1.1 Solving number problems 1 L4/5
~ 8N2.1 Exploring calc'n methods L4/5
~ 8N4.1 Calculation methods
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ATM Developing Number
~ Number
~ Powers of ten
~ Complements
SMILE Spreadsheets make sense
~ Squidge
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~ Place value chart
~ Number lines
~ HTU chart
~ Gattegno charts
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Can division ever make a number larger?
Can multiplication ever make a number smaller?
How can you check if your answer makes sense? [Last digits / estimating] |
MAP – Level Ladders
~ Mental calculations
~ Written calculations
Able Y8
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