Homeschool → Australia → Year 8 → Mathematics
Year 8 mathematics
In Year 8, learners strengthen their algebra by working with index notation, expanding and factorising expressions, and solving linear equations. They calculate the circumference and area of circles, reason about congruent shapes, and think carefully about how data is collected. Probability work extends to Venn diagrams and two-way tables.
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Number
- Index lawsFull lesson · 45 minUse index notation and the index laws for multiplying, dividing and raising powers, including the zero index, with numbers and pronumerals.
- Percentages, rates and ratiosTopic outlineSolve problems involving percentage increase and decrease, profit and loss, best-buy comparisons and simplifying ratios, using everyday Australian contexts.
Algebra
- Expanding and factorising expressionsTopic outlineUse the distributive law to expand brackets such as 3(x + 4) and reverse the process by factorising out the highest common factor.
- Solving linear equationsFull lesson · 50 minSolve linear equations with one or more steps, including equations with brackets and with the pronumeral on both sides, and check solutions by substitution.