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Year 8

Checking understanding of sequences

I can appreciate the structure of patterns and sequences.

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New
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Year 8

Checking understanding of sequences

I can appreciate the structure of patterns and sequences.

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Share activities with pupils
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Lesson details

Key learning points

  1. Multiplication tables are an example of a sequence.
  2. Sequences might have a specific difference which can be found.
  3. Sequences can have a specific multiplier which can be found.
  4. Written methods can be used to find larger numbers in a sequence.

Keywords

  • Sequence - A sequence is a succession of objects, diagrams or values usually formed according to a rule.

Common misconception

Pupils may struggle to divide values correctly to find a multiplier, especially when fractional.

Pupils should write their sequence out with arrows to show which direction their multiplier is operating.

Get students to make up their own additive and multiplicative sequences and challenge each other to find the next term.
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.
Which calculation will find the difference between 37 and 83?
$$83 + 37$$
$$83\div 37$$
$$83\times 37$$
Correct answer: $$83 - 37$$
$$ {83+37}\over 2$$
Q2.
Calculate $$482 - 267$$
Correct Answer: 215
Q3.
Calculate $$7.4 - 5.06$$
Correct Answer: 2.34
Q4.
Which of these is the answer to $$10\div 4$$
0.4
$$4\over 10$$
Correct answer: $$5\over 2$$
5.2
Q5.
Dividing 21 by 3 will find the __________ from the number 3 to the number 21
difference
divisor
exponent
Correct answer: multiplier
range
Q6.
Match the fraction calculations to their answers.
Correct Answer:$$4\times {2\over 5}$$,$$ {8\over 5}$$

$$ {8\over 5}$$

Correct Answer:$$ 4\div{2\over 5}$$,10

10

Correct Answer:$$ 8\times{3\over 4}$$,6

6

Correct Answer:$$ 8\div{3\over 4}$$,$$ {32\over 3}$$

$$ {32\over 3}$$

Correct Answer:$$ 4\times{1\over 2}$$,2

2

Correct Answer:$$ 4\div{1\over 2}$$,8

8

Exit quiz

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6 Questions

Q1.
A is a succession of objects, diagrams or values usually formed according to a rule.
Correct Answer: sequence
Q2.
What sort of pattern does this sequence have 12, 6, 3, 1.5, ...
constant additive pattern
Correct answer: constant multiplicative pattern
neither additive nor multiplicative
Q3.
Which of these additive rules would create a decreasing pattern?
Correct answer: $$+(-2)$$
$$+0$$
$$+{1\over2}$$
$$+3$$
Q4.
What is the next number in this constant multiplicative pattern? 1, 4, 16, ...
Correct Answer: 64
Q5.
Starting with the first value, sort these numbers into a sequence with constant multiplicative pattern of $$\times 0.1$$
1 - 100
2 - 10
3 - 1
4 - 0.1
5 - 0.01
Q6.
Match the sequence with its constant multiplier.
Correct Answer:0.2, -1, 5, ...,$$\times -5$$

$$\times -5$$

Correct Answer:2, 10, 50, ...,$$\times 5$$

$$\times 5$$

Correct Answer:25, 5, 1, ...,$$\times{1\over 5}$$

$$\times{1\over 5}$$

Correct Answer:-1, 0.2, -0.04, ...,$$\times -0.2$$

$$\times -0.2$$

Correct Answer:2, 5, 12.5, ...,$$\times {5\over 2}$$

$$\times {5\over 2}$$

Correct Answer:10, 4, 1.6, ...,$$\times {2\over 5}$$

$$\times {2\over 5}$$