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## 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.

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# Division as Groups of

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## 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.

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## 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.

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# Division as Repeated Subtraction

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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.[/fusion_text][/one_half][one_half last=”yes” spacing=”yes” center_content=”no” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”” padding=”” margin_top=”” margin_bottom=”” animation_type=”” animation_direction=”” animation_speed=”0.1″ class=”” id=””][imageframe lightbox=”no” lightbox_image=”” style_type=”none” hover_type=”none” bordercolor=”” bordersize=”0px” borderradius=”0″ stylecolor=”” align=”none” link=”” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][/one_half][fusion_text]

# Division as an Array

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An array is just a picture that shows equal groups in rows and columns.[/fusion_text][/one_half][one_half last=”no” spacing=”yes” center_content=”no” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”” padding=”” margin_top=”” margin_bottom=”” animation_type=”” animation_direction=”” animation_speed=”0.1″ class=”” id=””][/one_half][one_half last=”yes” spacing=”yes” center_content=”no” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”” padding=”” margin_top=”” margin_bottom=”” animation_type=”” animation_direction=”” animation_speed=”0.1″ class=”” id=””][imageframe lightbox=”no” lightbox_image=”” style_type=”none” hover_type=”none” bordercolor=”” bordersize=”0px” borderradius=”0″ stylecolor=”” align=”none” link=”” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][/one_half][fusion_text]

## This is an array.

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