Year 8 - Maths
Problem solving with graphing linear relationships
Graphical representations of linear equations
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Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unti we develop understanding of linear relationships and explore the key features of a linear equation such as the gradient, intercept and determining an equation from coordinate pairs.
Lesson Summary
You will learn to use your knowledge of graphing linear relationships to solve problems.
Key Notes
- Real life relationships can be represented using a linear graph.
- Real life problems can be solved using a linear graph.
- Switching between algebraic and graphical representations can help solve real life problems.
Vocabulary To Learn
- Rate of change: The rate of change is how one variable changes with respect to another. If constant, there is a linear relationship.
- Gradient: The gradient is a measure of how steep a line is.
Common Mistakes To Avoid
- There is one answer to everything in maths.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Real life relationships can be represented using a linear graph. Real life problems can be solved using a linear graph.
2. Use this key word in a maths sentence and explain it clearly. 'Rate of change'
The rate of change is how one variable changes with respect to another. If constant, there is a linear relationship. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: There is one answer to everything in maths. Correction: We often see arithmetic and equations with one answer but, maths can be used to compare and justify multiple answers to a single problem.
More Lessons In This Unit
- Checking and securing plotting a relationship Study Guide
- Checking and securing understanding of plotting coordinates Study Guide
- Checking and securing understanding of plotting coordinates generated from a rule Study Guide
- Checking and securing understanding of plotting coordinates with technology Study Guide
- Defining features of linear relationships Study Guide
- Features of linear relationships Study Guide
- Finding the equation of the line ay + bx + c = 0 Study Guide
- Finding the equation of the line y = mx + c Study Guide
- Negative rate of change from a graph Study Guide
- Positive rate of change from a graph Study Guide
- Rate of change from a coordinate pair Study Guide
- The equation of a straight line Study Guide
- The intercept point Study Guide
- Using dynamic software to explore linear relationships Study Guide
Browse all guides in the Year 8 Maths guide library.