Year 8 - Maths
Rate of change from a coordinate pair
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 calculate the rate of change (gradient) from two coordinate pairs.
Key Notes
- Two coordinate pairs can be plotted and joined with a line.
- The gradient of this line can be calculated.
- The gradient between two points can be calculated without drawing the line.
- The gradient between two points can be calculated without drawing the points.
- The gradient between any two points on a straight line is the gradient of the line.
Vocabulary To Learn
- Parallel: Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart.
- Gradient: The gradient is a measure of how steep a line is.
Common Mistakes To Avoid
- When calculating gradient from coordinates, pupils get positive and negative gradients mixed up.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Two coordinate pairs can be plotted and joined with a line. The gradient of this line can be calculated.
2. Use this key word in a maths sentence and explain it clearly. 'Parallel'
Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When calculating gradient from coordinates, pupils get positive and negative gradients mixed up. Correction: Encourage pupils to sketch the coordinates first and then always look at a positive increase in x.
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
- Problem solving with graphing linear relationships 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.