Identifying perpendicular linear graphs
I can identify, from their equations or graphs, whether two lines are perpendicular.
Identifying perpendicular linear graphs
I can identify, from their equations or graphs, whether two lines are perpendicular.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- If two equations are written in the form y = mx + c then you can identify if they are perpendicular.
- If the equations are not in that form, you can rearrange them to be.
- From their graphs, you can identify whether two lines are perpendicular.
Keywords
Perpendicular - Two lines are perpendicular if they meet at right angles.
Irrational number - An irrational number is one that cannot be written in the form a/b where a and b are integers and b is not equal to 0
Surd - A surd is an irrational number expressed as the root of a rational number.
Radical - The root sign is the radical symbol.
Common misconception
The gradients of two perpendicular lines are a number and its reciprocal.
In order for two lines to be perpendicular, the two gradients cannot have the same sign. Therefore it is a number and its negative reciprocal.
To help you plan your year 10 maths lesson on: Identifying 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: Identifying 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
Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$$-3$$ -
$$1\over 3$$
$$1$$ -
$$-1$$
$$7$$ -
$$-{1\over 7}$$
$$-{4\over 5}$$ -
$$5\over 4$$
$$-{5\over 4}$$ -
$$4\over 5$$
$$1\over 7$$ -
$$-7$$