measurementandspace

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

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°