Myths about teaching can hold you back
- Year 10•
- Higher
Identifying perpendicular linear graphs
I can identify, from their equations or graphs, whether two lines are perpendicular.
- Year 10•
- Higher
Identifying perpendicular linear graphs
I can identify, from their equations or graphs, whether two lines are perpendicular.
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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.
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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
Prior knowledge starter quiz
6 Questions
Q1.Which of these show two lines which are perpendicular?




Q2.What is the gradient of this line?

Q3.Which of these values is the reciprocal of 4?
Q4.Which of these coordinates lie on the line $$x = 4.5$$?
Q5.Which of these lines are parallel to the line with equation $$2y-x = 5$$?
Q6.A line has gradient 4 and passes through the coordinate (3, 9). What is the equation of the line?
Assessment exit quiz
6 Questions
Q1.Match each number to its negative reciprocal.
$$-3$$ -
$$1\over 3$$
$$1$$ -
$$-1$$
$$7$$ -
$$-{1\over 7}$$
$$-{4\over 5}$$ -
$$5\over 4$$
$$-{5\over 4}$$ -
$$4\over 5$$
$$1\over 7$$ -
$$-7$$