Students will learn how to solve certain proportions by making equivalent fractions. This involves multiplying or dividing the numerator and denominator of one of the fractions by some integer constant. For example, to solve \(4/7 = n/28,\) we can multiply the numerator and denominator of \(4/7\) by \(4.\) This gives us \(16/28,\) from which it's clear that \(n = 16.\) To solve \(3/n = 6/14,\) we can divide the numerator and denominator of \(6/14\) by \(2.\) This gives us \(3/7,\) from which it's clear that \(n = 7.\)

Next, give your students these challenges:

- Number Squares by NRICH
- The Twelve Pointed Star Game by NRICH
- Pyramid Numbers by NRICH

Conclude by leading this investigation:

Siteswap (juggling number patterns)

by MathPickle