Express simple functions in symbols; represent mappings expressed algebraically.

Plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT.

Core:

Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence, on paper and using ICT.

Generate sequences from practical contexts and write an expression to describe the nth term of an arithmetic sequence.

Find the inverse of a linear function.

Construct functions arising from real-life problems and plot their corresponding graphs.

Represent problems and synthesise information in algebraic, geometric or graphical form; move from one form to another to gain a different perspective on the problem.

Extension:

Find the next term and the nth term of quadratic sequences and functions and explore their properties.

Deduce properties of the sequences of triangular and square numbers from spatial patterns.

Plot the graph of the inverse of a linear function; know simple properties of quadratic functions.

Key Vocabulary:

sequence, term, nth term, rule, relationship, generate, predict, continue, function, linear sequence, quadratic sequence, first difference, second difference, difference pattern, general term, function box, ascending, descending, prediction, inverse.

## Objectives:

Support:Plot the graphs of linear functions, whereon paper and using ICT.yis given explicitly in terms ofx,Core:Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence, on paper and using ICT.write an expression to describe thenth term of an arithmetic sequence.Construct functions arising from real-life problems and plot their corresponding graphs.Extension:nth term of quadratic sequences and functions and explore their properties.## Key Vocabulary:

## Suggested Lesson Outcomes:

SUPPORT TARGET CORE

## Framework:

## Teaching & Learning Resources:

Function Machine Resources

Sequences Resources

Nth Term Resources

Mapping Resources

Plotting Graph Resources