Geometric measure A
Mathematics K–10 (2022) · Stage 3 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA3-GM-01 locates and describes points on a coordinate planeMA3-GM-02 selects and uses the appropriate unit and device to measure lengths and distances including perimetersMA3-GM-03 measures and constructs angles, and identifies the relationships between angles on a straight line and angles at a pointContent dot points
Each dot point has its own page with resources matched to it.
Position: Explore the Cartesian coordinate system
- Recognise that the grid-map reference system gives the area of a location and the number plane identifies a specific point
- Identify that in the coordinate system the lines are numbered, not the spaces
- Identify the point of intersection of the 2 axes as the origin, having coordinates (0, 0)
- Plot and label points, given coordinates, on the number plane in the first quadrant, describing the horizontal position first, followed by the vertical position 1 resource · 1 interactive/game
- Identify and record the coordinates of given points on the number plane in the first quadrant
Length: Use metres and kilometres for length and distances
- Recognise the need for a formal unit longer than the metre for measuring distance
- Measure 100 metres and recognise that 10 times 100 metres is one kilometre, ie 1000 metres = 1 kilometre
- Estimate lengths and distances using an appropriate unit
- Record distances using the abbreviation for kilometres (km)
- Use a variety of measuring devices to measure lengths and distances in different contexts
Length: Measure lengths to find perimeters
- Use efficient strategies to calculate the perimeter of a large rectangular area in metres
- Calculate perimeters of common two-dimensional shapes, including squares, rectangles and triangles
- Determine which side lengths are needed to find the perimeter of a shape (Reasons about relations)
- Recognise that rectangles with the same perimeter may have different dimensions (Spatial reasoning)
Angles: Estimate, measure and compare angles using degrees
- Identify the arms and vertex of an angle where both arms are invisible, such as for rotations
- Explain how a protractor is formed and used to measure an angle 1 resource · 1 interactive/game
- Estimate and describe the size of angles using known angles as benchmarks (Reasons about mental rotation)
- Record angle measurements using the symbol for degrees (°)
- Measure angles of up to 360° using a protractor 1 resource · 1 interactive/game
Angles: Use a protractor to measure and identify types of angles
- Create angles of up to 360° using a protractor 1 resource · 1 interactive/game
- Recognise that a right angle is 90°, a straight angle is 180° and an angle of revolution is 360°
- Identify and describe angle size in degrees for the classifications acute, obtuse and reflex
Stage 3 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence – Stage 3
- Unit/PlanningMaking connections – Stage 3 (parallel content)