Measurement and Geometry

Outcomes

Length
- MA3-9MG
  Selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length
  - Length 1
    - Choose appropriate units of measurement for length (ACMMG108)
      - Select and use the appropriate unit and measuring device to measure lengths and distances
        
        Play Activities 23
        
        Examples
    - Calculate the perimeters of rectangles using familiar metric units (ACMMG109)
      - Calculate perimeters of common two-dimensional shapes, including squares, rectangles, triangles and regular polygons with more than four sides (ie regular polygons other than equilateral triangles and squares)
        
        Play Activities 5
        
        Examples
  - Length 2
Area
- MA3-10MG
  Selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles
  - Area 1
    - Choose appropriate units of measurement for area (ACMMG108)
      - Identify situations where square kilometres are used for measuring area, eg a suburb
        
        Play Activities 3
        
        Examples
      - Recognise that there are 10 000 square metres in one hectare, ie 10 000 square metres = 1 hectare
        
        Play Activities 3
        
        Examples
  - Area 2
    - Solve problems involving the comparison of areas using appropriate units (ACMMG137)
      - Solve a variety of problems involving the areas of rectangles (including squares) and triangles
        
        Play Activities 4
        
        Examples
Volume and Capacity
- MA3-11MG
  Selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity
  - Volume and Capacity 1
    - Choose appropriate units of measurement for volume and capacity (ACMMG108)
      - Select and use appropriate units to estimate the volumes of a variety of objects, eg cubic centimetres for a lolly jar, cubic metres for the classroom
        
        Play Activities 3
        
        Examples
  - Volume and capacity 2
Mass
- MA3-12MG
  Selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass
  - Mass 1
    - Choose appropriate units of measurement for mass (ACMMG108)
      - Select and use the appropriate unit and device to measure mass, eg electronic scales, kitchen scales
        
        Play Activities 21
        
        Examples
  - Mass 2
    - Connect decimal representations to the metric system (ACMMG135)
      - Recognise the equivalence of whole-number and decimal representations of measurements of mass, eg 3 kg 250 g is the same as 3.25 kg
        
        Play Activities 8
        
        Examples
      - Measure mass using scales and record using decimal notation of up to three decimal places, eg 0.875 kg
        
        Play Activities 11
        
        Examples
    - Convert between common metric units of mass (ACMMG136)
      - Convert between kilograms and grams and between kilograms and tonnes
        
        Play Activities 37
        
        Examples
      - Solve problems involving different units of mass, eg find the total mass of three items weighing 50 g, 750 g and 2.5 kg
        
        Play Activities 35
        
        Examples
Time
- MA3-13MG
  Uses 24-hour time and am and pm notation in real-life situations, and constructs timelines
  - Time 1
    - Compare 12- and 24-hour time systems and convert between them (ACMMG110)
      - Convert between 24-hour time and time given using am or pm notation
        
        Play Activities 6
        
        Examples
      - Compare the local times in various time zones in Australia, including during daylight saving
        
        Play Activities 7
        
        Examples
    - Determine and compare the duration of events
  - Time 2
    - Interpret and use timetables (ACMMG139)
      - Read, interpret and use timetables from real-life situations, including those involving 24-hour time
        
        Play Activities 9
        
        Examples
Three-Dimensional Space
- MA3-14MG
  Identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views
  - Three-Dimensional Space 1
    - Compare, describe and name prisms and pyramids
    - Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111)
Two-Dimensional Space
- MA3-15MG
  Manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties
  - Two-Dimensional Space 1
  - Two-Dimensional Space 2
    - Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142)
      - Identify whether a two-dimensional shape has been translated, reflected or rotated, or has undergone a number of transformations, eg 'The parallelogram has been rotated clockwise through 90 degrees once and then reflected once'
        
        Play Activities 26
        
        Examples
      - Construct patterns of two-dimensional shapes that involve translations, reflections and rotations using computer software
        
        Play Activities 26
        
        Examples
Angles
- MA3-16MG
  Measures and constructs angles, and applies angle relationships to find unknown angles
  - Angles 1
    - Construct angles using a protractor (ACMMG112)
  - Angles 2
    - Investigate, with and without the use of digital technologies, angles on a straight line, angles at a point, and vertically opposite angles; use the results to find unknown angles (ACMMG141)
      - Identify and name angle types formed by the intersection of straight lines, including right angles, 'angles on a straight line', 'angles at a point' that form an angle of revolution, and 'vertically opposite angles'
        
        Play Activities 9
        
        Examples
      - Investigate, with and without the use of digital technologies, angles at a point and establish that they form an angle of revolution and add to 360 degrees
        
        Play Activities 3
        
        Examples
Position
- MA3-17MG
  Locates and describes position on maps using a grid-reference system
  - Use a grid-reference system to describe locations (ACMMG113)
    - Find locations on maps, including maps with legends, given their grid references
      
      Play Activities 15
      
      Examples
    - Describe particular locations on grid-referenced maps, including maps with a legend, eg 'The post office is at E4'
      
      Play Activities 31
      
      Examples
  - Describe routes using landmarks and directional language (ACMMG113)