Year 8 - Maths
Checking and securing understanding of plotting coordinates
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 plot coordinates in any of the four quadrants.
Key Notes
- It is possible to plot coordinates approximately in the correct quadrant.
- Coordinates can be plotted exactly when the axes are labelled.
- By careful consideration of coordinates the missing vertices of a shape can be found.
Vocabulary To Learn
- Quadrant: Any one of the four areas into which a space is divided by the <i>x</i>- and <i>y</i>-axes in the Cartesian coordinate system.
Common Mistakes To Avoid
- Where is coordinate (−2,5)? 2 down, 5 right from the origin? 5 right, 2 down from the origin?
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
It is possible to plot coordinates approximately in the correct quadrant. Coordinates can be plotted exactly when the axes are labelled.
2. Use this key word in a maths sentence and explain it clearly. 'Quadrant'
Any one of the four areas into which a space is divided by the <i>x</i>- and <i>y</i>-axes in the Cartesian coordinate system. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Where is coordinate (−2,5)? 2 down, 5 right from the origin? 5 right, 2 down from the origin? Correction: Coordinates in (<i>x,y</i>) form. −2 is <i>x</i>-instruction. From (0,0) will we travel in a positive or negative <i>x</i>-direction?
More Lessons In This Unit
- Checking and securing plotting a relationship 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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