Myths about teaching can hold you back
- Year 10•
- Higher
Checking and securing understanding on chains of reasoning with angle facts
I can reason mathematically using my knowledge of angle facts.
- Year 10•
- Higher
Checking and securing understanding on chains of reasoning with angle facts
I can reason mathematically using my knowledge of angle facts.
Lesson details
Key learning points
- Alternate, corresponding and co-interior angles can be identified in diagrams containing pairs of parallel lines.
- Facts about angles in parallel lines can be used to find unknown angles.
- Facts about angles in parallel lines can be used in succession to find multiple unknown angles.
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 - 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.
Co-interior angles - Co-interior angles are on the same side of the transversal line and in between the two other line.
Common misconception
Alternate angles are always equal to each other.
Alternate angles are equal when a transversal intersects parallel lines. If the transversal intersects a pair of lines that are not parallel then the alternate angles will not be equal.
To help you plan your year 10 maths lesson on: Checking and securing understanding on chains of reasoning with angle facts, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking and securing understanding on chains of reasoning with angle facts, 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.∠ is 65°. Use three letter angle notation.

Q2.Which angle is corresponding with ∠DBC?

Q3.Which angle is alternate with ∠DBC?

Q4.Which angle is co-interior with ∠DBC?

Q5.Which angle is vertically opposite with ∠DBC?

Q6.∠DBC = 89°. Which other angles in the image are also 89°?

Assessment exit quiz
6 Questions
Q1.Which angle fact can be used to justify why $$x=120$$ using a single statement?

Q2.Which angle fact could be used to justify why $$x=120$$ using a single statement?

Q3.The size of the angle marked $$x$$ is °.

Q4.The size of the angle marked $$x$$ is °.

Q5.The size of the angle marked $$x$$ is °.

Q6.The size of the angle marked $$x$$ is °.
