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

Checking understanding of sequences

Maths

Securing understanding of sequences

Formalising a sequence

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

A {{}} is a succession of objects, diagrams or values usually formed according to a rule.

What sort of pattern does this sequence have 12, 6, 3, 1.5, ...

Which of these additive rules would create a decreasing pattern?

What is the next number in this constant multiplicative pattern?   1, 4, 16, {{}} ...

Starting with the first value, sort these numbers into a sequence with constant multiplicative pattern of $$\times 0.1$$

Match the sequence with its constant multiplier. 

Which calculation will find the difference between 37 and 83?

Which of these is the answer to $$10\div 4$$

Dividing 21 by 3 will find the __________ from the number 3 to the number 21

Match the fraction calculations to their answers.

Checking understanding of sequences

Lesson outcome