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PR-6103IRE Number Patterns to Algebra 4

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Diagonal Dilemmas<br />

2 More diagonals.<br />

3 Make your own tables.<br />

1 Complete this multiplication table.<br />

a Shade the numbers in the third and<br />

fourth rows.<br />

b Can you see the lines joining numbers in<br />

each row along a diagonal? Find the<br />

differences between the two numbers on<br />

each of the diagonals.<br />

, , , , , , ,<br />

c What do you notice?<br />

a Shade the numbers in the seventh and eighth rows. Mark the diagonals.<br />

b Find the differences between each pair of numbers on the diagonals.<br />

c What do you notice?<br />

a Use an empty table on page 11. Choose two more rows that are next <strong>to</strong> each other<br />

and mark in the diagonals. Write the differences between each pair of numbers<br />

along the diagonals.<br />

b What do you notice?<br />

Challenge!<br />

3 6 9 12 15 18<br />

4 8 12<br />

21<br />

16 20 24 28<br />

2 1<br />

Viewing sample<br />

Use an empty table on page 11<br />

and write down what happens when<br />

you change the direction of the diagonals.<br />

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

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