Length
Mathematics K–10 (2022) · Stage 4 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA4-LEN-C-01 applies knowledge of the perimeter of plane shapes and the circumference of circles to solve problemsContent dot points
Each dot point has its own page with resources matched to it.
Solve problems involving the perimeter of various quadrilaterals and simple composite figures
- Solve problems involving the perimeter of plane shapes, including parallelograms, trapeziums, rhombuses and kites 3 resources · 1 interactive/game
- Solve problems relating to the perimeter of simple composite figures 1 resource
- Compare methods of solution for finding perimeter and evaluate the efficiency of those methods
Describe the relationships between the features of circles
- Identify and describe the relationship between circle features, including the radius, diameter, arc, chord, sector and segment of a circle, and a tangent to a circle 4 resources · 2 interactive/game
- Define π as the ratio of the circumference to the diameter of any circle 1 resource · 1 interactive/game
- Verify that the number π is a constant and develop the formula for the circumference of a circle 1 resource · 1 interactive/game
- Apply the formula for the circumference of a circle in terms of the diameter d or radius r (circumference of a circle = πd or 2πr) to solve related problems 5 resources · 1 interactive/game
- Establish the arc length formula (l = θ/360 × 2πr) where l is the arc length and θ is the angle subtended at the centre by the arc 2 resources
- Solve problems by finding arc lengths and the perimeter of sectors, giving an exact answer in terms of π or an approximate answer 3 resources
- Find the perimeter of quadrants, semicircles and simple composite figures consisting of 2 shapes in a variety of contexts, including using digital tools 3 resources
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