PR-6102UK Investigating Number Patterns 3
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<strong>Patterns</strong> in Tables Charts<br />
1 Complete the tables chart.<br />
x<br />
1 2 3 4 5 6 7 8 9<br />
a Staring at the top left-hand corner of your tables chart‚ draw larger and larger<br />
squares.<br />
1 1<br />
2 2<br />
3 3<br />
4 4<br />
5 5<br />
6 6<br />
7 7<br />
8 8<br />
9 9<br />
1 2 3 4<br />
1 2 3 2 4 6 8<br />
1 2 2 4 6 3 6 9 12<br />
1 2 4 3 6 9 4 8 12 16<br />
Add the numbers in each square.<br />
2 3 4 5 6 7 8 9<br />
4<br />
6<br />
8<br />
10<br />
12<br />
14<br />
16<br />
18<br />
6 8 10 12 14 16 18<br />
b Predict the totals for the next 3 squares. Check your predictions.<br />
1 2 3 4 5 6 7<br />
1 2 3 4 5 6 2 4 6 8 10 12 14<br />
1 2 3 4 5 2 4 6 8 10 12 3 6 9 12 15 18 21<br />
2 4 6 8 10 3 6 9 12 15 18 4 8 12 16 20 24 28<br />
3 6 9 12 15 4 8 12 16 20 24 5 10 15 20 25 30 35<br />
4 8 12 16 20 5 10 15 20 25 30 6 12 18 24 30 36 42<br />
5 10 15 20 25 6 12 18 24 30 36 7 14 21 28 35 42 49<br />
Viewing sample<br />
c Now try an 8 x 8 and 9 x 9 square. What set of numbers is formed?<br />
22 • <strong>Investigating</strong> <strong>Number</strong> patterns • © R.I.C. Publications ® • www.ricpublications.com.au •
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