Year 8 Mathematics Mainstream

TERM 3, 2025

Ratio and Rates (continued)

Students will explain the difference between a ratio and a rate, simplify ratios and rates, solve problems involving ratio including using the unitary method and divide quantities in a given ratio. They will be able to convert between rates, solve rate problems including best buys and interpret and construct distance–time graphs.

Equations

Students will be able to:

• Recognise the difference between algebraic expressions and equations.

• Solve linear equations involving up to 2 steps.

• Solve simple quadratic equations of the form 𝑎x2 = 𝑐.

• Translate word problems into equations and solve.

• Solve equations arising from substitution into formulas.

• Verify solutions by substitution.

Area

Students will be able to:

• Apply formulas to find the area of triangles, rectangles, parallelograms, trapeziums, rhombuses, kites, circles and sectors.

• Find the areas of composite shapes consisting of triangles, rectangles and parallelograms.

• Find the areas of sectors and related composite shapes.

• Use and convert between appropriate units of measurement.

Geometrical Properties

Students will be able to:

• Use relevant notations and conventions for naming and labelling triangles and quadrilaterals.

• Classify, describe and use properties of triangles and quadrilaterals.

• Prove and use the angle sum of a triangle and quadrilateral.

• Solve numerical problems using properties of triangles and quadrilaterals.