Skip to learning content

YEAR 9 · HIGH SCHOOL MATHEMATICS

Real numbers.

Understand real-number classifications, locate and estimate roots, and use exact or approximate values appropriately.

5 lessons3 practice tests

Work through the topic

Learn the method, follow the examples, then try the worksheet.

01
Rational and irrational numbers
Recognise rational and irrational numbers, including fractions, recurring decimals and square roots.
12 min · Worked examples & worksheet
02
Placing real numbers on number lines
Place exact and approximate real values on a number line and compare their positions.
12 min · Worked examples & worksheet
03
Estimating non-perfect square roots
Estimate non-square roots using known squares and trial decimal values.
12 min · Worked examples & worksheet
04
Exact answers versus approximations
Keep root and pi answers exact until the final step, then round to the requested precision.
12 min · Worked examples & worksheet
05
Calculations in practical contexts using suitable digital tools
Use digital tools carefully with real-number formulas and check units, scale and rounding.
12 min · Worked examples & worksheet

AFTER THE LESSONS

Topic review

Revisit the key ideas, then choose a practice paper.

3 practice tests · Separate worked marking guides