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Calculations
Consolidate all strategies from previous year, including:find a difference by counting up;
add or subtract the nearest multiple of 10, 100 or 1000, then adjust
;use the relationship between addition and subtraction;add several numbers. (p.41,43)
Addition activity. Use levels easy and medium. (Can be used for problem solving activities by rearranging base numbers to make largest total) Ambleside
'Callum Addition Pyramid'Coordinates in 1st quadrant. Individual practice and whole class possibility Grid Club
'Coordinate Cops'Use known number facts and place value to consolidate mental addition/subtraction (e.g. 470 + 380, 810 - 380, 7.4 + 9.8, 9.2 - 8.6). (p.45,47) Addition pyramid, possible extension of rearranging numbers to create largest total PrimaryResources
'Brick2'
Use informal pencil and paper methods to support, record or explain additions and subtractions.
Extend written methods to column addition and subtraction of numbers involving decimals. (p.49,51)
Mental addition of amounts of money to purchase good as to close to specified amount as possible. Level 3 includes £ and p. Grid Club
Shop Till You Drop
Understand and use the relationships between the four operations, and the principles (not the names) of the arithmetic laws.
Use brackets. (p.53,55)Express a quotient as a fraction or as a decimal rounded to one decimal place. Divide £.p by a two-digit number to give £.p.Round up or down after division, depending on the context. (p.57)
Understand the effect of and relationships between the four operations, and the principles (not the names) of the arithmetic laws as they apply to multiplication. Begin to use brackets. (p.53,55)
Use counting stick as a physical counting stick during mental and oral starters or with small groups. Ability to cover/uncover numbers very useful Primary Resources
'Counting Stick'Practice at identifying multiplication facts in rather fun way. Children individually or on whiteboard during mental and oral starter PrimaryResources
'MoonMaths'Derive quickly:
division facts corresponding to tables up to 10 × 10;
squares of multiples of 10 to 100 (e.g. 60 × 60);
doubles of two-digit numbers (e.g. 3.8 × 2, 0.76 × 2);
doubles of multiples of 10 to 1000 (e.g. 670 × 2);
doubles of multiples of 100 to 10000 (e.g. 6500 × 2);
and the corresponding halves. (p.59)
Use related facts and doubling or halving. For example:double or halve the most significant digit first;
to multiply by 25, multiply by 100 then divide by 4;
double one number and halve the other;find the ×24 table by doubling the ×6 table twice. (p.61)Use factors (e.g. 35 × 18 = 35 × 6 × 3). (p.61) Use closely related facts: for example, multiply by 49 or 51 by multiplying by 50 and adjusting.Develop the ×17 table by adding facts from the ×10 and ×7 tables. (p.63) Partition (e.g. 87 × 6 = (80 × 6) + (7 × 6); 3.4 × 3 = (3 × 3) + (0.4 × 3)). (p.63) Use the relationship between multiplication and division. (p.63) Use known number facts and place value to consolidate mental multiplication and division. (p.65)
Approximate first. Use informal pencil and paper methods to support, record or explain multiplications and divisions.
Extend written methods to:
multiplication of ThHTU × U (short multiplication);
short multiplication of numbers involving decimals;long multiplication of a three-digit by a two-digit integer;
short division of TU or HTU by U (mixed-number answer);division of HTU by TU (long division, whole-number answer);
short division of numbers involving decimals. (p.67,69)
Develop calculator skills and use a calculator effectively. (p.71) Online Calculator Ambleside
'Online Calculator'
Check with the inverse operation when using a calculator. (p.73) Check the sum of several numbers by adding in reverse order. (p.73) Check with an equivalent calculation. (p.73) Estimate by approximating (round to nearest 10, 100 or 1000), then check result. (p.73) Use knowledge of sums, differences, products of odd/even numbers. (p.73) Use tests of divisibility. (p.73)
Develop calculator skills and use a calculator effectively. (p.71) Online Calculator Ambleside
'Online Calculator'
Check with the inverse operation when using a calculator. (p.73) Check the sum of several numbers by adding in the reverse order. (p.73) Check with an equivalent calculation. (p.72) Estimate by approximating (round to nearest 10 or 100),then check result. (p.73) Use knowledge of sums and differences of odd/even numbers. (p.73) Back
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This page was last updated on Thursday, 23 December, 2004