Myths about teaching can hold you back
- Year 10•
- Higher
Drawing exponential graphs
I can generate coordinate pairs for an exponential graph from its equation and then draw the graph.
- Year 10•
- Higher
Drawing exponential graphs
I can generate coordinate pairs for an exponential graph from its equation and then draw the graph.
Lesson details
Key learning points
- A table of values can be useful to identify coordinate pairs which satisfy the equation.
- By substituting the values for x, you can calculate corresponding values for y.
- If used correctly, your calculator can be a powerful tool to speed up calculations.
Keywords
Exponential - The general form for an exponential equation is $$y = ab^x$$ where $$a$$ is the coefficient, $$b$$ is the base and $$x$$ is the exponent.
Common misconception
$$y = 2^x$$ evaluates to $$0$$ when $$x = 0$$
Remind pupils of the laws of indices that can be used to show that $$b^{0} = 1$$
To help you plan your year 10 maths lesson on: Drawing exponential graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Drawing exponential 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 Non-linear graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Equipment
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match each equation to its type of graph.
$$y=x^2$$ -
quadratic curve
$$y=x+2$$ -
linear
$$y=x^3$$ -
cubic curve
$$y=\frac{3}{x}$$ -
reciprocal curve
Q2.Given the equation $$y=3^x$$. When $$x=2$$ then $$y$$= .
Q3.Find the missing term in the geometric sequence: 0.2, , 5, 25, 125, ...
Q4.Given the equation $$y=3^x$$. Find the value of $$y$$ when $$x=-1$$.
Q5.Given the equation $$y=3\times2^x$$. When $$x=4$$ then $$y=$$
Q6.Match each geometric sequence to its missing term.
1, 2, 4, $$\square$$, 16, 32 -
8
2, 6, $$\square$$, 54, 162 -
18
3, 6, 12, $$\square$$, 48, 96 -
24
1, $$\square$$, 36, 216, 1296 -
6
3888, 648, 108, 18, $$\square$$ -
3
Assessment exit quiz
6 Questions
Q1.The general form for __________ equation is $$y = ab^x$$.
Q2.Select the coordinates that lie on the curve $$y=2^x$$
Q3.Match each curve to its equation.

A -
$$y=4^x$$
B -
$$y=3^x$$
C -
$$y=2^x$$
D -
$$y=1^x$$
Q4.The table of values for the curve $$y=4^x$$ is shown. Which $$y$$ value is incorrect?

Q5.Jacob draws the graphs of $$y=2^(-x)$$ and $$y=2^x$$ on the same pair of axes. Which of these statements are correct.
Q6.Which of these could be the equation of this curve?
