Recognise and represent division as grouping into equal sets and solve simple problems using these representations (ACMNA032)
LO: To recognise and represent division as grouping into equal parts.
- How to group objects based on size
- That division is breaking a total amount of objects into smaller equal groups.
- I can divide by breaking large groups into smaller even groups.
Division as Groups of
Division could be thought of as the equal sharing of the total pieces.
If you look at the picture, if I have 12 red dots. If I want to break that into groups of 4. It would form 3 equal groups. So 12 can be broken down into 3 groups of 4.
Sometimes when you divide, you might have left over pieces. These are called remainders.
7 doesn’t go evenly into 30. It makes 4 groups of 7 with 2 pieces left over.
Division as Repeated Subtraction
I can take 6 away from 24 and that gives me 18, I can take 6 away from 18 which gives me 12. I can take 6 away from 12 which leaves me with 6. If I take 6 away from 6 it leaves me with nothing. So I know that 6 goes into 24 four times.
Division as an Array
One way to demonstrate division is using an array.
An array is just a picture that shows equal groups in rows and columns.
This is an array.
Division Can be Represented in Many Ways
Division can be represented in many ways. It can be shown as repeated subtraction, groups of and arrays.