Problem solving with polygons
I can use my knowledge of polygons to solve problems.
Problem solving with polygons
I can use my knowledge of polygons to solve problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Problems can be solved using parallel line angle facts.
- Problems can be solved using interior and exterior angles of polygons.
- Problems can be solved and the solution justified using angle facts.
- It is possible to write algebraic statements about connected angles.
- Your knowledge of algebraic manipulation may be useful.
Keywords
Corresponding angles - Corresponding angles are a pair of angles at different vertices on the same side of a transversal in equivalent positions.
Alternate angles - A pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.
Co-interior angles - Co-interior angles are on the same side of the transversal line and in between the two other lines.
Interior angles - An interior angle is an angle formed inside a polygon by two of its edges.
Exterior angles - An exterior angle is an angle on the outside of a polygon between an extension of an edge and its adjacent edge.
Common misconception
Pupils might not know how to start an angle problem if they focus too much on the final solution.
You can start an angle problem by working out any angle on the diagram. The more angles you work out, the easier the final solution becomes.
To help you plan your year 8 maths lesson on: Problem solving with polygons, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Problem solving with polygons, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Geometrical properties: polygons unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
∠BCD and ∠CEF -
corresponding angles
∠ACE and ∠HEC -
co-interior angles
∠ACE and ∠CEF -
alternate angles
∠HEC and ∠GEF -
vertically opposite angles
Exit quiz
6 Questions
