Year 8 - Maths
Checking and securing understanding of plotting coordinates with technology
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 technology to quickly represent a set of coordinates graphically.
Key Notes
- A table can be used to plot coordinates on Desmos.
- It is easy to see if any of the points do not fit the pattern.
- It is possible to draw a line through the points using Desmos.
- Using the line you can determine if points do or do not fit the rule.
Vocabulary To Learn
- Arithmetic (linear) sequence: A sequence where the difference between successive terms is a constant.
Common Mistakes To Avoid
- When plotting the sequence $$3n-1$$ using technology you need to type each coordinate individually.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A table can be used to plot coordinates on Desmos. It is easy to see if any of the points do not fit the pattern.
2. Use this key word in a maths sentence and explain it clearly. 'Arithmetic (linear) sequence'
A sequence where the difference between successive terms is a constant. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When plotting the sequence $$3n-1$$ using technology you need to type each coordinate individually. Correction: "We use technology to make things easier. There must be a quicker way!" Look for the 'table' function.
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
- 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
Browse all guides in the Year 8 Maths guide library.