Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
The Boomerang<br />
2 Calculate the answers <strong>to</strong> each of the following multiplications.<br />
1 Add the numbers in each of the first<br />
four boomerangs <strong>to</strong>gether.<br />
1 x 1 x 1 = 2 x 2 x 2 = 3 x 3 x 3 = 4 x 4 x 4 =<br />
3 What do you notice about the <strong>to</strong>tal for the first four boomerangs and the first<br />
four cubic numbers?<br />
4 Further boomerangs.<br />
a Predict the sums for the next three boomerangs.<br />
A number which is multiplied by<br />
itself is called a ‘square number‛.<br />
A number which is multiplied by itself<br />
and then multiplied by itself again is<br />
called a ‘cubic number‛.<br />
You can colour<br />
the boomerangs<br />
b Explain how you made your prediction.<br />
different colours<br />
<strong>to</strong> help you.<br />
c Check your predictions by finding <strong>to</strong>tals for the 5th, 6th and 7th<br />
boomerangs.<br />
5 th 6 th 7 th<br />
Viewing sample<br />
5 What do you notice about cubic numbers?<br />
• www.ricpublications.com.au• © R.I.C. Publications ® • <strong>Number</strong> patterns <strong>to</strong> <strong>Algebra</strong> • 15
Change language