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: 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
  • 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
  • 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

Angles: Use a protractor to measure and identify types of angles

  • Create angles of up to 360° using a protractor
  • 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