find equivalent representations of rational numbers and represent rational numbers on a number line

How Bloomi helps with this

This is a NAPLAN-year topic. Bloomi teaches it with a short explainer, guided practice, and NAPLAN-style questions — every one traceable to this exact code.

What this looks like in the classroom

• investigating equivalence of fractions using common multiples and a fraction wall, diagrams or a number line to show that a fraction such as \(\frac23\) is equivalent to \(\frac46\) and \(\frac69\) and therefore \(\frac23\leq\frac56\)
• expressing a fraction in simplest form using common divisors
• applying and explaining the equivalence between fraction, decimal and percentage representations of rational numbers; for example, \(16\%\), \(0.16\), \(\frac{16}{100}\) and \(\frac4{25}\), using manipulatives, number lines or diagrams