Perpendicular linear graphs
I can prove the relationship between the gradients of perpendicular lines.
Perpendicular linear graphs
I can prove the relationship between the gradients of perpendicular lines.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Two lines are perpendicular if they meet at right angles.
- The product of the gradients of two perpendicular lines is -1
- This can be derived from Pythagoras' theorem.
- The product of the gradients of two lines is -1 iff the lines are perpendicular.
Keywords
Perpendicular - Two lines are perpendicular if they meet at right angles.
IFF - IFF (If and only if) is an implication that goes both ways.
Common misconception
Perpendicular lines have to be drawn as a horizontal and vertical pair.
Some pupils may struggle to see that two lines are perpendicular when they are not drawn horizontally and vertically. Drawing this on paper and then rotating the paper will help them see that it is the angle between the lines that matters.
To help you plan your year 10 maths lesson on: Perpendicular linear graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Perpendicular linear graphs, 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 Linear graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions





Exit quiz
6 Questions




