Myths about teaching can hold you back
- Year 8
Alternate angles
I can recognise that a pair of parallel lines traversed by a straight line produces equal alternate angles.
- Year 8
Alternate angles
I can recognise that a pair of parallel lines traversed by a straight line produces equal alternate angles.
Lesson details
Key learning points
- Alternate angles can be identified in an arrangement of 3 line segments.
- If two of the lines are parallel these alternate angles are equal.
- Knowledge of alternate angles can be used to find unknown angles.
- Knowledge of corresponding and alternate angles can be used to find unknown angles.
Keywords
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.
Common misconception
Referring to alternate angles as 'Z' angles because of the arrangement of the lines.
Modelling the justification correctly through every example and using exterior alternate angles to highlight the limitations of 'Z' angles.
To help you plan your year 8 maths lesson on: Alternate angles, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Alternate 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 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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Prior knowledge starter quiz
6 Questions
Q1.The size of the angle marked $$a$$ is °.

Q2.The value of the angle marked $$x$$ is °.

Q3.Work out the value of $$m$$.

Q4.Which pair of line segments are parallel to each other in this diagram?

Q5.A transversal is any line that two or more lines at distinct (different) points.
Q6.Which of the following show a pair of corresponding angles?




Assessment exit quiz
6 Questions
Q1.Alternate angles are a pair of angles both between or both outside two line segments that are on sides of the transversal that cuts them.
Q2.Which of these diagrams show a pair of alternate angles?




Q3.This diagram shows a pair of equal alternate angles.

Q4.Select the correct justification for the statement. The angle marked $$m$$ is 118°.

Q5.If alternate angles are equal, then the two lines are __________.
Q6.Use this diagram to match each angle to an equal alternate angle.

a -
g
b -
h
c -
e
d -
f