Year 8 - Maths
Using dynamic software to explore linear relationships
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 solve a range of problems involving graphical and algebraic aspects of linear relationships using dynamic software.
Key Notes
- Dynamic software can be used to investigate how the gradients affects the line.
- Dynamic software can be used to investigate how the intercept affects the line.
- Dynamic software can be used to investigate connections between lines, coordinates, tables and algebraic representations
Vocabulary To Learn
- Gradient: The gradient is a measure of how steep a line is.
- Intercept: An intercept is the coordinate where a line or curve meets a given axis.
Common Mistakes To Avoid
- From the line $$y=x$$ to $$y=x+1$$ to $$y=x-1$$ the lines are moving left/right rather than up/down.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Dynamic software can be used to investigate how the gradients affects the line. Dynamic software can be used to investigate how the intercept affects the line.
2. Use this key word in a maths sentence and explain it clearly. 'Gradient'
The gradient is a measure of how steep a line is. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: From the line $$y=x$$ to $$y=x+1$$ to $$y=x-1$$ the lines are moving left/right rather than up/down. Correction: It can be shown by using a $$(x,c)$$ coordinate in desmos. That coordinate moves up and down with the change in '$$c$$'.
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
- Rate of change from a coordinate pair Study Guide
- The equation of a straight line Study Guide
- The intercept point Study Guide
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