# Securing understanding of sequences

I can begin to generalise a sequence.

# Securing understanding of sequences

I can begin to generalise a sequence.

## Lesson details

### Key learning points

- Sequences can be continued using a rule.
- This rule can be demonstrated with a diagram.
- This rule can be described in words.

### Common misconception

That sequences can only have constant additive or multiplicative patterns.

Give students two numbers and get them to carry the sequence on in different ways. Anything they come up with can be a sequence.

### Keywords

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

### 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).

## Video

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## Starter quiz

### 6 Questions

$$10\div 2$$ -

The multiplier for a constant multiplicative rule

$$10\times 5$$ -

The next value in a constant multiplicative sequence

$$10 - 2$$ -

The value being added in a constant additive sequence

$$10 + 8$$ -

The next value in a constant additive sequence

$$2\div 5$$ -

The previous value in a constant multiplicative sequence

$$2 - 8$$ -

The previous value in a constant additive sequence

$$(-12) + (-6) $$ -

-18

$$(-12)\div (-6)$$ -

2

$$(-12)-(-6)$$ -

-6

$$(-12)\times (-6)$$ -

72

$$12\times (-6)$$ -

-72

$$12\div (-6)$$ -

-2

$$1\over 2$$ -

$${4\over 5}-{3\over 10} $$

$$11\over 10$$ -

$${4\over 5}+{3\over 10} $$

$$8\over 3$$ -

$${4\over 5}\div{3\over 10} $$

$$6\over 25$$ -

$${4\over 5}\times{3\over 10}$$

$$25\over 6$$ -

$$5\times{5\over 6}$$

$$6$$ -

$$5\div{5\over 6}$$

## Exit quiz

### 6 Questions

..., 25, 35, ... -

add 10

..., 45, 135, ... -

multiply by 3

..., 45, 95, ... -

add 10, add 30, add 50, add 70....

..., 35, 75, ... -

double the previous value then add 5

..., 35, 65, ... -

add 10, add 20, add 30, add 40 ...

..., 55, 215, ... -

multiply by 4 then subtract 5