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Assessment Resource Centre (ARC)

  1. Stage 3
  2. Mathematics
  3. Activities
  4. Triangles
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Grade Work Samples
End of Stage 3 (end of Year 6)
Grade A Alex  
Grade B Rania  

Foundation Statement strands

The following strands are covered in this activity:

Working Mathematically, Measurement and Data, Space and Geometry

Description of activity

Students use a protractor and ruler to draw different triangles. They name the types of triangle drawn and explain how they are different.

  1. Students use a protractor and ruler to draw three different types of triangles.
  2. They name the type of triangle they have drawn.
  3. Students explain how the triangles are different from each other.
  4. They use appropriate mathematical terms when naming and explaining.

The suggested time allocation for this activity is 30 minutes.

Suggested materials

Protractors, rulers, pencils, blank paper

Prior learning

Students have had experience in measuring, labelling, constructing and naming various angles. They have investigated different types of triangles and their properties.

Board of Studies NSW, Mathematics K–6 Syllabus, pp 95, 128–129
Board of Studies NSW, Mathematics K–6 Sample Units of Work, p 149


Length (MS3.1)
Selects and uses the appropriate unit and device to measure lengths, distances and perimeters
Two-dimensional Space (SGS3.2a)
Manipulates, classifies and draws two-dimensional shapes and describes side and angle properties
Two-dimensional Space (SGS3.2b)
Measures, constructs and classifies angles
Applying Strategies (WMS3.2)
Selects and applies appropriate problem-solving strategies, including technological applications, in undertaking investigations
Communicating (WMS3.3)
Describes and represents a mathematical situation in a variety of ways using mathematical terminology and some conventions

Criteria for assessing learning

Students will be assessed on their ability to:

  • use geometrical instruments to draw a variety of triangles
  • classify triangles on the basis of their side and angle properties
  • communicate mathematical ideas using mathematical terminology and/or diagrams


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