Reasoning about angles in polygons
I can reason about the sum of the angles within different polygons.
Reasoning about angles in polygons
I can reason about the sum of the angles within different polygons.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Angles describe and measure a turn or rotation.
- Protractors can be used to measure and draw angles.
- Use knowledge of right angles to estimate and compare angles.
Keywords
Angle - An angle is a measure of turn.
Sum - The sum is the result of adding two or more numbers.
Vertex - A vertex is a point where two or more lines meet.
Polygon - A polygon is a 2D shape made up of three or more straight lines.
Common misconception
Pupils think that composing larger polygons of smaller triangles that are not formed as a result of drawing a line from one vertex to another will help them to identify the sum of the angles.
Highlight how the formation of triangles within a polygon must be from vertex to vertex and demonstrate how the angles of each triangle where they meet sum to the internal angle of the polygon.
To help you plan your year 5 maths lesson on: Reasoning about angles in polygons, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 5 maths lesson on: Reasoning about angles in 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 2 maths lessons from the Angles: compare, name, estimate and measure angles 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
Exit quiz
6 Questions
