K–10Mathematics K–10 Syllabus

Implementation for K–2 from 2023 and 3–10 from 2024

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Stage 4

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Teaching advice

Examples

Area

MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
MA4-ARE-C-01
applies knowledge of area and composite area involving triangles, quadrilaterals and circles to solve problems

Related Life Skills content for Stage 4

Area

Develop and use formulas to find the area of rectangles, triangles and parallelograms to solve problems

Apply the formula to find the area of a rectangle or square: $A = l b$ , where $l$ is the length and $b$ is the breadth (or width) of the rectangle or square
Develop and apply the formula to find the area of a triangle: $A =$ $\frac{1}{2} b h$ , where $b$ is the base length and $h$ is the perpendicular height
Develop and apply the formula to find the area of a parallelogram: $A =$ $b h$ where $b$ is the base length and $h$ is the perpendicular height
Calculate the area of composite figures that can be dissected into rectangles, squares, parallelograms or triangles to solve problems

Develop and use the formula to find the area of circles and sectors to solve problems

Develop and apply the formula to find the area of a circle: $A = π r^{2},$ where $r$ is the length of the radius
Explain how the area of a sector can be developed from the area of a circle $(A = \frac{θ}{360} \times π r^{2})$
Find the area of quadrants, semicircles and sectors, and apply these formulas in the context of real-life problems
Calculate the areas of composite shapes involving quadrants, semicircles and sectors to solve problems

Develop and use the formulas to find the area of trapeziums, rhombuses and kites to solve problems

Develop and apply the formula to find the area of a kite or rhombus: $A = \frac{1}{2} x y,$ where $x$ and $y$ are the lengths of the diagonals
Develop and apply the formula to find the area of a trapezium: $A = \frac{h}{2} (a + b),$ where $h$ is the perpendicular height and $a$ and $b$ are the lengths of parallel sides
Calculate the area of composite shapes involving trapeziums, kites and rhombuses to solve problems

Choose appropriate units of measurement for area and convert between units

Choose an appropriate unit to measure the area of different shapes and surfaces, and justify the choice
Convert between metric units of area using ${1 c m}^{2} = 100 {m m}^{2}$ , $1 m^{2} = 10 000 {c m}^{2}$ , $1 h a = 10 000 m^{2}$ and $1 {k m}^{2} = 1 000 000 m^{2} = 100 h a$

Related files

Stage 5

Life Skills