Year 9 - Maths
Equations and their graphs
Graphical representations
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils draw, interpret and utilise linear graphs to solve problems. This knowledge is further extended to look at intersecting graphs.
Lesson Summary
You will learn to recognise the determining features of the shape of the graph from its equation.
Key Notes
- The gradient of the line is determined by m when the equation is in the form y = mx + c
- The y-intercept is determined by c when the equation is in the form y = mx + c
- You can sketch what the graph will look like from studying its equation
Vocabulary To Learn
- Gradient: The gradient is a measure of how steep a line is.
- Intercept: An intercept is the coordinate where a line or curve meets a given axis.
- Linear: The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Common Mistakes To Avoid
- Estimation and approximation are only required skills when working solely with number problems.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The gradient of the line is determined by m when the equation is in the form y = mx + c. The y-intercept is determined by c when the equation is in the form y = mx + c.
2. Use this key word in a maths sentence and explain it clearly. 'Gradient'
The gradient is a measure of how steep a line is. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Estimation and approximation are only required skills when working solely with number problems. Correction: In problem solving it can be really useful to sketch an approximation of a certain graph such as a linear equation. Seeing where the $$y$$-intercept is and drawing an approximate gradient could help us identify solutions.
More Lessons In This Unit
- Checking and securing understanding of non-linear sequences Study Guide
- Efficiently drawing linear graphs Study Guide
- Exploring the shapes of graphs using technology Study Guide
- Extending thinking about sequences Study Guide
- Graphically solving two linear graphs that intersect Study Guide
- Modelling with graphs Study Guide
- Problem solving with graphical representations Study Guide
- Reading from graphs Study Guide
Browse all guides in the Year 9 Maths guide library.