## 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.

### Know:

• How to group objects based on size

### Understand:

• That division is breaking a total amount of objects into smaller equal groups.

### Do:

• 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. # 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.

# Student Work Groups Of

Division Basics