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

Securing understanding of sequences

Maths

Checking 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

Numbers in the multiplication table for a specific number

Values which increase by the same amount each time

Values or patterns usually ordered according to a rule

Which of these best describes what a sequence is?

Which of these shows a sequence with a constant additive rule?

Which representation is the same sequence as this?

What would the next number in this sequence be if it had a constant additive rule?  2, -4, {{}},...

What would the next number in the sequence be if it had a constant multiplicative rule? 2, -4, {{}}, ...

Match the next 2 numbers in the sequence which starts 5, 15, ... with the rule the sequence is following.

What do we call the expression in a fraction, written below the fraction line?

What is the next number in this sequence with a constant additive pattern?  5, 9, 13, {{}}, ...

What is the missing number in this sequence with a constant multiplicative pattern?  2, 6, {{}}, 54, ...

The multiplier for a constant multiplicative rule

The next value in a constant multiplicative sequence 

The value being added in a constant additive sequence

The next value in a constant additive sequence

The previous value in a constant multiplicative sequence

The previous value in a constant additive  sequence

Match the calculation to the value it will find for the sequence ..., ?, 2,10, ...

Match these directed number calculations to their answers. 

Match the answers to their corresponding fraction calculation.

Securing understanding of sequences

Lesson outcome