Year 8 - Maths
Checking and securing understanding of plotting coordinates generated from a rule
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 represent, algebraically and graphically, a set of coordinates constructed according to a mathematical rule.
Key Notes
- An arithmetic sequence can be generated using an n^th term rule..
- The term numbers and terms of a sequence can be converted onto coordinates.
- These coordinates will lie on a straight line when plotted.
- Often the rule will be written using a pair of variables.
- The points can be generated and plotted in the same way as with a sequence.
Vocabulary To Learn
- Arithmetic (linear) sequence: A sequence where the difference between successive terms is a constant.
Common Mistakes To Avoid
- The plotted points of an arithmetic sequence form a line so we draw a line connecting them.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An arithmetic sequence can be generated using an n^th term rule.. The term numbers and terms of a sequence can be converted onto coordinates.
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: The plotted points of an arithmetic sequence form a line so we draw a line connecting them. Correction: Sequences are an ordered list and do not always need to follow a rule, so we often only find and use the positive integer term numbers.
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 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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