Myths about teaching can hold you back
- Year 10•
- Higher
- Year 10•
- Higher
Problem solving with angles
I can use my knowledge of angles to solve problems.
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.
Keywords
Alternate angles - Alternate angles are a pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.
Interior angle - An interior angle is an angle formed inside a polygon by two of its edges.
Exterior angle - An exterior angle is an angle on the outside of a polygon between an extension of an edge and the adjacent edge.
Common misconception
Lines cannot be added to the given diagram.
Often adding additional or found information to a given diagram can help progress towards a solution. Pupils should not be afraid to extend given line segments nor add notation if appropriate.
To help you plan your year 10 maths lesson on: Problem solving with angles, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Problem solving with angles, 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 4 maths lessons from the Angles unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.The sum of exterior angles for any polygon sum to...
Q2.Which of these describe angles that are definitely equal to each other?
Q3.The value of $$x$$ is .

Q4.What do the interior angles of a 72 sided polygon sum to?
Q5.Find the value of $$x$$. (Note: The diagram is not drawn to scale)

Q6.Find the value of $$y$$

Assessment exit quiz
6 Questions
Q1.The value of $$x$$ is .

Q2.Find the value of $$x$$.

Q3.The value of $$x$$ is .

Q4.The value of $$x$$ is .

Q5.The diagram is not drawn accurately. AC is a line segment and ∠DBA : ∠CBD = 3 : 1. Which equation can be formed from this information?

Q6.The value of $$x$$ is .
