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- Year 11•
- Higher
- Year 11•
- Higher
Drawing the tangent graph
I can draw the graph for the tangent trigonometric function.
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Lesson details
Key learning points
- The unit circle can help you predict what the tangent graph will look like
- The tangent graph has asymptotes
- The trigonometric functions have different periods.
Keywords
Period (of a function) - For a repeating function, the period is the distance of one repetition of the entire function.
Common misconception
Pupils may have their calculator set to radians instead of degrees.
The first check for understanding is designed to catch this but it is worth checking that the correct unit of measurement is being used throughout the lesson.
To help you plan your year 11 maths lesson on: Drawing the tangent graph, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Drawing the tangent graph, 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 Non right-angled trigonometry unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.How many times does a tangent intersect a circle?
Q2.What is the name of this function?
Q3.What is the name of this function?
Q4.Using Desmos and an $$x$$ axis interval of $$0°\leq x\leq 720°$$, how many times does the cosine graph pass through the $$x$$ axis?
Q5.Using Desmos and an $$x$$ axis interval of $$ 0°\leq x\leq 720°$$, how many times does the sine graph pass through the $$x$$ axis?
Q6.Match the equivalent values.
$$\sin(30°)$$ -
$$\frac{4.5}{9}$$
$$\cos(0°)$$ -
$$\frac{12}{12}$$
$$\sin(45°)$$ -
$$\frac{3}{3\sqrt{2}}$$
$$\sin(0°)$$ -
$$\frac{0}{12}$$
Assessment exit quiz
6 Questions
Q1.Match the equivalent values.
$$\tan(0°)$$ -
0
$$\tan(30°)$$ -
$$\frac{\sqrt{3}}{3}$$
$$\tan(45°)$$ -
1
$$\tan(60°)$$ -
$$\sqrt{3}$$
$$\tan(90°)$$ -
Undefined
Q2.Which trigonometric function is shown?
Q3.What other types of graphs have undefined values?
Q4.What do the sine and cosine graphs look like?
Q5.Using the interval, $$ 0°\leq x \leq 360° $$, match the local maximum coordinates with the trigonometric graph.
$$y=\sin(\theta°)$$ -
(90°, 1)
$$y=\cos(\theta°)$$ -
(0°, 1) and (360°, 1)
$$y=\tan(\theta°)$$ -
There are no local maximums.
Q6.Using the interval, $$ 0°\leq x \leq 360° $$, match the local minimum coordinates with the trigonometric graph.
$$y=\sin(\theta°)$$ -
(270°, -1)
$$y=\cos(\theta°)$$ -
(180°, -1)
$$y=\tan(\theta°)$$ -
There are no local minimums.