Year 6 key objective Carry out long multiplication of a three-digit by a two-digit integer and short multiplication and division of whole numbers Associated knowledge Errors and Questions to identify errors and Teaching to address errors and Next steps and skills misconceptions misconceptions misconceptions Multiply and divide one-, Misuses rules about Can you tell me a quick way of Multiplication by ten, one hundred.. using What's the best way you can think two- and three-digit multiplying and dividing multiplying a number by one a calculator and recording numbers before of to find: numbers by ten and one by powers of ten and thousand? and after multiplication in HTU columns. 71 x 20? hundred. the associative law, for 202 x 6? example: I have thirty-seven on my Repeat for division. 82 x 300? Apply the associative law 145 x 30 = 145 000. calculator. What single (but not by name) to multiplication should I key in to Ask the child to describe patterns observed multiply up to three-digit change it to three thousand and suggest a generalisation. Ask the child numbers by multiples of seven hundred? to illustrate with further examples. ten and hundred, for example: What is 3 ÷ 1? ... 30 ÷ 10? ... 300 ÷ Demonstrate that 42 x 12 is the same as 42 147 x 20 = 147 x 2 x 10. 100? x 6 x 2. What other ways can we multiply 1 Y6 x/÷ Tell me about this pattern. forty-two by twelve? If I had four thousand eight hundred on my calculator, what single division could I key in to change the display to forty-eight? 47 x 10 = 470 What do you think 47 x 20 equals? Present the remainder in a quotient as a whole number or fraction. 2 Y6 x/÷
Has difficulty, when appropriate, interpreting a remainder as a fraction, for example: 17 ÷ 4 = 4¼.
There are twenty-six apples for four horses, so they can have six and a half each. How do I know this?
Repeat with other numbers. Use factor 'tree' to support this, for example: 12= 4x3 3x4 2x6 6x2 12x1 1x12 What is a sensible answer for each of the following division calculations? 1. Divide twenty-eight eggs by six. 2. Divide twenty-seven bars of chocolate into four. 3. Divide £47 by four. 4. Divide sixty-two children into teams of ten.
Write a division question for your partner which you know will have a fraction as part of the answer. How do you know it will have a fraction as part of the answer?