PR-6102IRE Investigating Number Patterns 3
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Function Machines – 2<br />
1 Insert the missing numbers for each machine and give a<br />
brief explanation of what each machine does.<br />
a 10, 12, 14, 16, 18 ÷ 2<br />
b 10, 12, 14, 16, 18 x 1 ⁄2<br />
c 10, 20, 30, 40, 50 x 10<br />
d 100, 200, 300, 400 ÷ 10<br />
e x 2 20, 40, 80, 100<br />
2 Take a closer look at the numbers coming in and going out of the machines.<br />
Write about any patterns you notice.<br />
3 Investigate what occurs when two function machines are placed together.<br />
a 1, 2, 3, 4, 5 + 2 3, 4, 5, 6, 7 + 3<br />
b 10, 11, 12, 13 + 5 + 5<br />
c What did you notice?<br />
4 Could you replace two machines with one?<br />
Try these challenging questions to see if you are right.<br />
6, 7,<br />
Viewing sample<br />
a What happens when two subtraction machines are joined?<br />
Write questions of your own to find the answer.<br />
Yes<br />
No<br />
b What happens when an addition and a subtraction machine are joined?<br />
Write questions of your own to find the answer<br />
20 • <strong>Investigating</strong> <strong>Number</strong> patterns • © R.I.C. Publications ® • www.ricpublications.com.au •