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PR-6103UK Number Patterns to Algebra 4

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Even More Robots<br />

1 Use the blank grids on page 19 <strong>to</strong> draw the paths that<br />

these robots would travel.<br />

a Robot 1<br />

• Forward 2 steps<br />

• Turn right<br />

• Forward 3 steps<br />

• Turn right<br />

• Forward 4 steps<br />

• Turn right<br />

d What do you notice about the paths travelled by the robots?<br />

e What do you notice about the instructions?<br />

2 What happens if you change the order; for example, 3 steps, 2 steps and<br />

then 4 steps? Test what happens when the order is changed.<br />

3 What happens if the robots are instructed <strong>to</strong> walk<br />

2 steps, 3 steps and then 6 steps?<br />

4 A different pattern.<br />

b Robot 2<br />

• Forward 3 steps<br />

• Turn right<br />

• Forward 4 steps<br />

• Turn right<br />

• Forward 2 steps<br />

• Turn right<br />

c Robot 3<br />

• Forward 4 steps<br />

• Turn right<br />

• Forward 2 steps<br />

• Turn right<br />

• Forward 3 steps<br />

• Turn right<br />

a Write your instructions and draw the robot’s walk on the grid on page 19.<br />

b What happens?<br />

a Write your instructions and draw the robot’s walk on the grid on page 19.<br />

b What happens?<br />

a Now try 2 steps, 1 step and 5 steps.<br />

You may have noticed that the<br />

order of the instructions is the<br />

same in each case.<br />

Viewing sample<br />

b What do you notice about the 2, 3, 6 pattern and the 2, 1, 5 pattern?<br />

18 • <strong>Number</strong> patterns <strong>to</strong> <strong>Algebra</strong> • © R.I.C. Publications ® • www.ricpublications.com.au •

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