AC9M7N04 Year 7 Mathematics

This Content Descriptor from Year 7 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

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

Elaborations

• 1 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 \(\frac23<\frac56\)
• 2 expressing a fraction in simplest form using common divisors
• 3 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
• 4 representing positive and negative fractions and mixed numerals on various intervals of the real number line, including intervals that are not symmetrical about zero

Related Achievement Standards