New
New
Year 8

# Checking understanding of sequences

I can appreciate the structure of patterns and sequences.

New
New
Year 8

# Checking understanding of sequences

I can appreciate the structure of patterns and sequences.

## 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.

### 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.

### Keywords

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

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).

## Starter quiz

### 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 $$482 - 267$$
Q3.
Calculate $$7.4 - 5.06$$
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
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

### 6 Questions

Q1.
A is a succession of objects, diagrams or values usually formed according to a rule.
Q2.
What sort of pattern does this sequence have 12, 6, 3, 1.5, ...
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, ...
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, ...,$$\times {2\over 5}$$

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