Sequences, Functions and Graphs - objectives
Step 6
Begin to use linear expressions to describe
the nth term of an arithmetic sequence, justifying its form
by referring to the activity or practical context from which it was
generated. View
step.
Express simple functions in symbols; represent
mappings expressed algebraically. View
step.
Step 7
Plot the graphs of linear functions,
where y is given explicitly in terms of x; recognise
that equations of the form y = mx + c correspond to straight-line
graphs. View
step.
Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence, on paper and using ICT. View step.
Step 8
Construct functions arising from real-life problems and plot their corresponding graphs; interpret graphs arising from real situations. View step.
Given values for m and c, find the gradient of lines given by equations of the form y = mx + c. View step.
Step 9
Find the next term and the nth term of quadratic sequences and explore their properties. View step.
Know simple properties of quadratic functions. View step.
Step 10
Plot the graphs of simple quadratic and cubic
functions, e.g. y = x², y = 3x²,
y = x³. View
step.