Each value or pattern in a sequence is called a term.

Formalising a sequence

Maths

Checking understanding of sequences

Securing understanding of sequences

Generating a sequence using a term-to-term rule

Generating a sequence using a position-to-term rule

Arithmetic sequences

Expressing an arithmetic sequence

Calculating any term

Finding the nth  term

Representing sequences graphically

Justifying terms of a sequence

Problem solving with sequences

The sequences unit allowed pupils to explore different ways of generating sequences and then representing an arithmetic sequence graphically. This serves as an introduction to the future unit on graphical representations of linear equations.

In the prior unit, pupils extended their knowledge of plotting coordinates from KS2 by plotting non-integer values. Pupils learnt that a set of points can satisfy a relationship and this understanding is built on in this unit.

In this unit we develop knowledge of sequences to be able to identify, determine, and continue arithmetic sequences. We finish the unit by looking at how sequences may be reprsented graphically.

Sequences

What do we call each value or pattern in a sequence?

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?

The number of dots increase by 4 each time.

The number of dots increases by 6 each time.

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?

Here is a sequence of connected 'N' shape patterns made out of dots. How many dots would be needed for the 10th term?

For this pictorial sequence, match up the rule with the element of the pattern it is describing.

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.'

What would be the next value in this sequence if it has a constant additive rule? 18, 6, ...

What would be the next value in this sequence if it has a constant multiplicative rule? 18, 6, ...

Calculate the perimeter of this rectangle

Formalising a sequence

Lesson outcome