Starter quiz
Here are the first and second pattern in a pictorial sequence. Which is the third pattern if the sequence had a constant additive relationship?- Which word best completes this description of a sequence: 'A sequence is a succession of diagrams, objects or __________, usually formed according to a rule.'
- calculations
- coordinates
- integers
- operations
- values ✓
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- What would be the next value in this sequence if it has a constant additive rule? 18, 6, ...
- '-6' ✓
- What would be the next value in this sequence if it has a constant multiplicative rule? 18, 6, ...
- '2' ✓
Calculate the perimeter of this rectangle- '14 mm' ✓
Calculate the perimeter of this L shape- '16 cm' ✓
Exit quiz
- What do we call each value or pattern in a sequence?
- a constant
- an element
- an expression
- an object
- a term ✓
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Here is the beginning of a pictorial sequence with a constant additive rule. Which picture is term 5?
Here is a sequence of connected 'N' shape patterns made out of dots. How many dots would there be in term 4 of this pattern?- '28' ✓
- Here is a sequence of connected 'N' shape patterns made out of dots. Which of these could be a rule for the number of dots in each term?
- The number of dots increase by 4 each time.
- The number of dots increases by 6 each time. ✓
- There are 6 dots per N shape.
- There are 6 dots per N shape add 4. ✓
- There are 10 dots per N shape.
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- Here is a sequence of connected 'N' shape patterns made out of dots. How many dots would be needed for the 10th term?
- '64' ✓
For this pictorial sequence, match up the rule with the element of the pattern it is describing.- increase by 1 each time⇔vertical lines ✓
- increase by 2 each time⇔height of the pattern in squares. ✓
- increase by 4 each time⇔diagonal lines ✓
- increase by 5 each time⇔total lines ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- A pattern of objects can be made by following a rule.
- These rules can be described in words.
- The number of objects each time is the term.
- Missing terms in the sequence can be found using the rule.
Common misconception
Pupils can mix up describing how patterns grow or the relationships between objects in the pattern.
Pupils should verbalise their description, using the keyword 'term' , making it clear which way they are describing their pattern.
Keywords
Term - Each value or pattern in a sequence is called a term.
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