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# Year 3

### We can multiply or divide a two–digit number by a one–digit number.

#### What we are learning:

• It is most common to read 54 ÷ 6 as “54 divided by 6”, it may support your child’s understanding to read the same question as, How many groups of 6 are there within 54?
• The correct maths vocabulary to be used with division is dividend ÷ divisor = quotient (pronounced “Kwo-shant”) using this language will make it easier to explain and talk about division.
• In order to be able to solve division questions quickly children need speedy recall of times-tables facts. We use times-tables facts to work out the answers to division questions, i.e. How many groups of 6 are there in 54?
“9 x 6 is 54, so there are 9 groups of 6 in 54”
• A simple way to divide a two-digit number by a one-digit number is to partition the dividend into multiples (A multiple is the result of multiplying by a whole number -> multiples of 4 are 4, 8, 12, 16, 20 … ) of the 1 divisor. i.e. To calculate 52 ÷ 4, partition the 50 into 40 + 12
Simply divide each part of the 50 in turn now by 4
40 ÷ 4 = 10
12 ÷ 4 = 3
The quotient is 13 (since 10+3 is 13)
• When we multiply two numbers together we call the answer the product.
The product of 5 and 7 is 35.
• Schools often teach children how to use a simple grid to layout multiplication calculations. This is known as “Grid Multiplication”.

To calculate 4 x 13, the 13 is partitioned into 10 and 3. Each part is now multiplied by 4.
4 x 10 is 40
4 x 3 is 12.
The 40 and 12 are then re-combined to make a total of 52.

#### Activities you can do at home:

Work through the following practice multiplication questions together.
Use the Grid Method.
16 x 4, 23 x 5, 12 x 6, 22 x 5, 24 x 4, 13 x 2

Work through the following practice division questions together. Partition the dividend into multiples of the divisor.
51 ÷3, 72 ÷ 6, 60 ÷ 4, 80 ÷ 5, 56 ÷ 4

How many fours are there in twenty?
What is twenty divided by four?
How many groups of four are there in twenty?
What is the product of four and five?
How can you partition this number and use the grid method to multiply them?

Does not easily see the links between multiplication and division
Use objects and simple numbers to demonstrate this, i.e. three sets of two objects makes six objects altogether. Write this down as a multiplication.
Now take the same six objects and split them into three groups (of two).
Write this down as a division (6 ÷ 3 =2). Talk about what has happened.