Area
Mathematics K–10 (2022) · Stage 4 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA4-ARE-C-01 applies knowledge of area and composite area involving triangles, quadrilaterals and circles to solve problemsContent dot points
Each dot point has its own page with resources matched to it.
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 = lb, where l is the length and b is the breadth (or width) of the rectangle or square 4 resources · 1 interactive/game
- Develop and apply the formula to find the area of a triangle: A = 1/2bh, where b is the base length and h is the perpendicular height 6 resources · 1 interactive/game
- Develop and apply the formula to find the area of a parallelogram: A = bh where b is the base length and h is the perpendicular height 5 resources · 1 interactive/game
- Calculate the area of composite figures that can be dissected into rectangles, squares, parallelograms or triangles to solve problems 6 resources
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 = πr², where r is the length of the radius 6 resources · 2 interactive/game
- Explain how the area of a sector can be developed from the area of a circle (A = θ/360 × πr²) 3 resources · 1 interactive/game
- Find the area of quadrants, semicircles and sectors, and apply these formulas in the context of real-life problems 6 resources · 1 interactive/game
- Calculate the areas of composite shapes involving quadrants, semicircles and sectors to solve problems 3 resources
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 = 1/2xy, where x and y are the lengths of the diagonals 3 resources · 2 interactive/game
- Develop and apply the formula to find the area of a trapezium: A = h/2(a + b), where h is the perpendicular height and a and b are the lengths of parallel sides 5 resources · 1 interactive/game
- Calculate the area of composite shapes involving trapeziums, kites and rhombuses to solve problems 1 resource
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 cm² = 100mm², 1m² = 10000cm², 1ha = 10000m² and 1km² = 1000000m² = 100ha 3 resources · 1 interactive/game
Focus area resources
- Unit/PlanningStage 4 Unit 15 – exploring circles (sample unit of learning)
- Unit/PlanningStage 4 Unit 7 – length and area (sample unit of learning)
Stage 4 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 4 core (NESA no. 11)
- Unit/PlanningStage 4 – sample scope and sequence
- Unit/PlanningStage 4 – stage based – sample scope and sequence