Year 8 - Maths
Checking and securing plotting a relationship
Graphical representations of linear equations
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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 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 a graphical representation to show all of the points (within a range) that satisfy a relationship.
Key Notes
- A relationship between two variables can be described using a rule.
- This relationship can be used to generate coordinate pairs.
- These pairs can be plotted on a graph.
- The shape of the curve made will give information about the relationship between the points.
- All the points on the curve satisfy the relationship.
Vocabulary To Learn
- Substitute: Substitute means to put in place of another. In Algebra, substitution can be used to replace variables with values.
Common Mistakes To Avoid
- All graphs are linear and if graphs are not linear you join points with straight line segments.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A relationship between two variables can be described using a rule. This relationship can be used to generate coordinate pairs.
2. Use this key word in a maths sentence and explain it clearly. 'Substitute'
Substitute means to put in place of another. In Algebra, substitution can be used to replace variables with values. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: All graphs are linear and if graphs are not linear you join points with straight line segments. Correction: Explore $$n+2, 2n$$ and $$x^2$$. "I see $$n$$ and 2; they must be similar" pupils think. Get them to compare numerically, then graphically.
More Lessons In This Unit
- 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
- Problem solving with graphing linear relationships 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
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