Year 9 - Maths
Reading from 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 read and interpret points from a graph to solve problems.
Key Notes
- If you have one value, you can use a linear graph to find its pair.
- The pair of values will satisfy the linear equation.
- If the x and y variables have context, then their values can be interpreted within that context.
- With quadratic graphs, there may be more than one value to find.
Vocabulary To Learn
- Linear: The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
- Quadratic: A quadratic is a an equation, graph, or sequence whereby the highest exponent of the variable is 2.
- Parabola: A parabola is a curve where any point on the curve is an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).
Common Mistakes To Avoid
- Since linear equations (typically) have one solution, all equations have one solution.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If you have one value, you can use a linear graph to find its pair. The pair of values will satisfy the linear equation.
2. Use this key word in a maths sentence and explain it clearly. 'Linear'
The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Since linear equations (typically) have one solution, all equations have one solution. Correction: Ask pupils to compare the graphical solution to a linear equation with the graphical solution to a quadratic equation. This will enable them to see that it is possible for a quadratic equation to have more than one solution.
More Lessons In This Unit
- Checking and securing understanding of non-linear sequences Study Guide
- Efficiently drawing linear graphs Study Guide
- Equations and their 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
Browse all guides in the Year 9 Maths guide library.