Calculations: Knowledge Organiser

Calculations

11+ Knowledge Organiser Tuition with Taylor

What do I need to know?

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10. I can divide a four digit number by a two digit number

1. I can use written methods to add numbers

2. I can use written methods to subtract numbers

11. I can solve problems using the four operations

3. I can add and subtract mentally

4. I can use square and cube numbers

12. I can use BODMAS

5. I can identify multiples of numbers

13. I can convert remainders into fractions

6. I can find factors of a number

7. I can recall prime numbers up to 100

8. I can multiply and divide mentally

9. I can multiply a four digit number by a two digit number

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I can use written methods to add numbers

362

+ 553

915

If one of the columns adds to an answer of 10 or more, write down the right-hand digit as the answer and carry to left-hand digit to the next column on the left.

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I can use written methods to subtract numbers

435

+ 162

273

If you're doing a column with a smaller digit on top, exchange from a column to the left.

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I can add and subtract mentally

You could:- Break additions and subtractions into stages. For example: 124 + 567 = 100 + 500 then 20 + 60 then 4 + 7 - Use a number line in your head. For example: 4000 - 360 = 4000 - 300 and then - 60 - Change the order. For example: instead of 86 + 9, you could do 86 + 10 and then subtract 1

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I can use square and cube numbers

Square numbers:They are shown by a small 2 and it tells you to multiply the number by itself. For example: 4 = 4 x 4 = 16 Cube numbers: They are shown by a small 2 and it tells you to multiply the number by itself and then by itself again. For example: 5 = 5 x 5 x 5 = 125

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I can identify multiples of numbers

Multiples are just like times tables. For example: The multiples of 5 are 5, 10, 15, 20, 25, 30... The multiples of 3 are 3, 6, 9, 12, 15, 18...

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I can find factors of a number

The factors of a number are whole numbers that divide exactly into that number. You can use your times tables to help you work it out. For example: The factors of 16 are... 1 and 16, 2 and 8, 4 and 4, 8 and 2.

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I can recall prime numbers up to 100

A prime number is a number that has exactly two factors - 1 and itself.Remember that 1 is not a prime number. You need to know the prime numbers up to 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

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I can multiply and divide mentally

Break hard calculations into smaller steps... For example: 46 x 8 = 40 x 8 add 6 x 8

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I can multiply a four digit number by a two digit number

Long multiplication

Short multiplication

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I can divide a four digit number by a two digit number

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I can solve problems using the four operations

You may be asked to solve problems involving measurements, time, money or real-life scenarios. It's important to read the information carefully and then decide which of the operations you will need to use (it may be more than one).

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I can use BODMAS

BODMAS tells you the order to solve a problem in. Start with the B and then work your way through the solve the calculation. Brackets pOwers (square and cube numbers) Division Multiplication Addition Subtraction

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I can convert remainders into fractions

If you do a division where the number you’re dividing by won’t go exactly, you end up with a bit left over, or a “remainder”.Example: Find 17 ÷ 5 17 ÷ 5 = 3 remainder 2 We’ve got a remainder of 2 left over that won’t divide by 5 but with fractions you can divide 2 by 5. 2 ÷ 5 is the same as the fraction 2/5 So, 17 ÷ 5 = 3 2/5