New
New
Year 8
Formalising a sequence
I can appreciate that a sequence is a succession of terms usually formed according to a rule.
New
New
Year 8
Formalising a sequence
I can appreciate that a sequence is a succession of terms usually formed according to a rule.
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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.
Keywords
Term - Each value or pattern in a sequence is called a term.
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.
Pupils could draw the patterns on square paper to predict how they might develop. This is a chance to explore the different structures of sequences.
Teacher tip
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
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6 Questions
Q1.
Here are the first and second pattern in a pictorial sequence. Which is the third pattern if the sequence had a constant additive relationship?
Q2.
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
Q3.
What would be the next value in this sequence if it has a constant additive rule? 18, 6, ...
Q4.
What would be the next value in this sequence if it has a constant multiplicative rule? 18, 6, ...
Q5.
Calculate the perimeter of this rectangle
Q6.
Calculate the perimeter of this L shape
Exit quiz
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6 Questions
Q1.
What do we call each value or pattern in a sequence?
a constant
an element
an expression
an object
Q2.
Here is the beginning of a pictorial sequence with a constant additive rule. Which picture is term 5?
Q3.
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?
Q4.
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
There are 6 dots per N shape
There are 10 dots per N shape
Q5.
Here is a sequence of connected 'N' shape patterns made out of dots. How many dots would be needed for the 10th term?
Q6.
For this pictorial sequence, match up the rule with the element of the pattern it is describing
vertical lines
height of the pattern in squares.
diagonal lines
total lines