MA3-GM-01 locates and describes points on a coordinate plane MA3-GM-02 selects and uses the appropriate unit and device to measure lengths and distances including perimeters MA3-GM-03 measures and constructs angles, and identifies the relationships between angles on a straight line and angles at a point
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Represents Numbers A | - Express and interpret thousandths as decimals → Record lengths using decimal notation |
| Represents Numbers B | - Locate integers on a number line → Plot and read points in all four quadrants |
| Multiplicative Relations B | - Multiply and divide decimals by powers of 10 → Convert between metric units of length |
| Geometric Measure A | - Read coordinates in the first quadrant → Plot and read points in all four quadrants - Use metres and kilometres → Convert between metric units of length - Calculate the perimeter of 2D shapes → Compare perimeters of rectangles with the same area - Calculate the perimeter of 2D shapes → Solve length and perimeter problems - Classify angles by size → Recognise angle relationships in diagrams - Classify angles by size → Recognise perpendicular lines |
Position: Use the 4 quadrants of the coordinate plane
- Plot and label points, given coordinates, in all 4 quadrants of the number plane
- Identify and record the coordinates of given points on the number plane in all 4 quadrants
- Describe changes to coordinates when a point is translated or reflected across an axis
Length: Connect decimal representations to the metric system
- Recognise the equivalence of whole-number and decimal representations of measurements of length
- Interpret decimal notation for lengths and distances
- Record lengths and distances using decimal notation
Length: Convert between common metric units of length
- Use decimal place value system to convert between metres and kilometres
- Convert measurements to the same unit to compare lengths and distances
- Explain and use the relationship between the size of a unit and the number of units needed
Length: Solve problems involving the comparison of lengths using appropriate units
- Investigate and compare perimeters of rectangles with the same area
- Determine the number of different rectangles that can be formed using whole-number dimensions for a given area (Reasons about spatial structure)
- Solve a variety of problems involving length and perimeter, including problems involving different units of length
Angles: Investigate angles on a straight line and angles at a point
- Recognise right angles, angles on a straight line and angles at a point embedded in diagrams (Reasons about spatial orientation)
- Identify the vertex and arms of angles formed by intersecting lines
Angles: Investigate the relationships formed by the intersection of straight lines
- Identify angle types formed by the intersection of straight lines, including right angles (90°), angles on a straight line (add to 180°) and angles at a point that form an angle of revolution (add to 360°)
- Recognise that perpendicular lines intersect at right angles (90°)
- Investigate adjacent angles that form a right angle and establish that they add to 90°
- Investigate adjacent angles on a straight line and establish that they add to 180°
- Investigate angles at a point and establish that they form an angle of revolution and add to 360°