An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant

Checking understanding of arithmetic sequences

Maths

Securing understanding of arithmetic sequences

Features of geometric sequences

Recognising geometric sequences

Representing geometric sequences graphically

Features of special number sequences

Recognising special number sequences

Graphing special number sequences using technology

Extrapolating a sequence

Problem solving with non-linear relationships

In this unit, pupils considered geometric sequences and how they might be represented graphically. In this future unit, pupils study the graphical representation to link features of the graph to its equation.

In the sequences unit, pupils learnt how to graphically represent an arithmetic sequence. In this unit, pupils now consider geometric sequences and how these can be represented graphically.

In this unit we explore geometric and special number sequences like the Fibonacci sequence. We develop strategies to recognise types of sequence and continue them.

Non-linear relationships

An arithmetic (or linear) sequence is a sequence where the difference between successive terms is constant

A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.

A common ratio is a key feature of a geometric sequence. The constant multiplier between successive terms is called the common ratio.

A triangular number is a number that can be represented by a pattern of dots arranged into an equilateral triangle. The term number is the number of dots in a side of the triangle

An arithmetic (or linear) sequence is a sequence where the difference between successive terms is constant.

A triangular number (or triangle number) is a number that can be represented by a pattern of dots arranged into a triangle.

A triangular number (or triangle number) is a number that can be represented by a pattern of dots arranged into an equilateral triangle.

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