Starter quiz
- Which of these words describes the sequence ?
- linear ✓
- quadratic
- arithmetic ✓
- geometric
- counting
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- What are the first three terms of the arithmetic sequence ?
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- ✓
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- Match the verbal description to the term expression.
- ⇔Multiply by ✓
- ⇔Multiply by and add ✓
- ⇔Multiply by and add ✓
- ⇔Add to and then multiply . ✓
- ⇔Add to ✓
- Match the point to its coordinate pair.
- A⇔✓
- B⇔✓
- C⇔✓
- D⇔✓
- Which of these coordinates fits the rule ?
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- ✓
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- Which rule links to in this arithmetic sequence?
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- ✓
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Exit quiz
- This table of values tells us the ______ to plot the relationship .
- 'coordinates' ✓
- What is wrong with this plotting of the arithmetic sequence ?
- The coordinates are wrong.
- The line should extend to the edges of the grid.
- There shouldn't be a line through the points. ✓
- The points should not line up.
- You need more than term numbers.
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- Which of these arithmetic sequences could this graph represent?
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- What are the two missing coordinate values for this linear rule?
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- ✓
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- This is a table of values for a linear rule but there is an error. Which value is the error?
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- ✓
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- For the linear rule what is the coordinate when ?
- ✓
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- 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.
Common misconception
The plotted points of an arithmetic sequence form a line so we draw a line connecting them.
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.
Keywords
Arithmetic (linear) sequence - A sequence where the difference between successive terms is a constant.
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