Module 4 Understanding shape
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Can I estimate and measure angles less than 180°?

Example review questions

Four pictures of angles.

  • Which of these angles are acute angles? How do you know? Which are obtuse angles?
  • Estimate the size of each of the angles. What could help with your estimation? Now use your protractor to measure the angles.
  • Use two strips of paper or straws. Show me an acute, obtuse, right angle. Show me an angle of 45°. Show me one of 180°.

Teaching guidance

This teaching guidance document suggests some of the key vocabulary, models, images and practical equipment that children should experience and be able to use. It also includes some teaching tips to provide a few starting points for ways of supporting children with this area of mathematics.

PDF file Can I estimate and measure angles less than 180°? - teaching guidance | 60KB new window

Consolidation and practice

These resources are to support children in guided or independent work. Roll over the highlighted resources for a description.

SWF file What's my angle? Mark Robinson 2000 | 349KB new window

PDF file How to use calculating angles ITP | 150KB new window

SWF file Calculating angles ITP | 45KB new window

PDF file How to use polygon ITP | 176KB new window

SWF file Polygon ITP | 31KB new window

PDF file How to use fixing points ITP | 133KB new window

SWF file Fixing points ITP | 55KB new window

PDF file Springboard 7, Unit 14, Sections 2, 3 and 4 Measuring angles, Naming and estimating angles, Drawing angles | 1.1MB new window

SWF file Angle Challenge | 880KB new window

SWF file Sailing challenge | 44KB new window

Calculating angles

itp_calculating_angles.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of angles. Calculating angles ITP allows the child or teacher to represent single or multiple shapes rotated around a central point in one, two or four quadrants. The size of angles can be estimated or calculated and confirmed using the on-screen protractor or reveal function.

Polygon

itp_polygons.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of shape, space and measure. Polygon ITP allows the child or teacher to represent regular polygons with three to ten sides. The ITP can then be used to explore the properties of regular and irregular shapes by dragging vertices and creating additional vertices. The ITP includes an on-screen protractor and ruler.

Fixing points

itp_fixing_points.png

This interactive teaching program (ITP) is an ICT-based tool to support the exploration of shape and space. Fixing points ITP allows the child or teacher to create one or more shapes by connecting a number of vertices on a grid. Angles can be estimated and measured, and the effect of moving different vertices can be explored.

Opportunities to use and apply

Possible contexts include:

  • orienteering in PE;
  • work on rotational symmetry;
  • reconstructing works of artists who used angle, e.g. Kandinsky;
  • creating shapes and repeating patterns, using ICT software;
  • drawing and constructing 3-D shapes in design and technology.

Confirming learning

Ask probing questions such as:

  • What important tips would you give to someone about using a protractor to measure angles? What mistakes might they make?
  • Describe what you would do to estimate the size of an angle. How might annotation help?
  • Without measuring, can you draw an angle of approximately 85°? What helped you?
  • Kieran measures an obtuse angle and says that it is 182°. Can he be correct? Explain why.