Topic 12 · Number & Algebra
Sequences, Functions & Graphs
Term-to-term and nth term rules, functions, straight-line graphs and reading real-life graphs.
By the end of this topic you can…
- Generate a sequence from a term-to-term or position-to-term rule
- Find the nth term of a linear or quadratic sequence
- Use function machines and inverse operations
- Draw and read the graph of a linear function
- Solve simultaneous equations graphically
- Read speed and rates from a real-life graph
Lessons
- Sequences Term-to-term and position-to-term rules, and finding the nth term of linear and quadratic sequences.
- Functions Function machines, writing a function as a rule, and undoing it with inverse operations.
- Linear Functions Straight-line graphs, what the gradient and the intercept mean, and drawing a line from its equation.
- Solving Simultaneous Equations Graphically Two lines, one crossing point — and why that crossing point is the solution to both equations at once.
- Real-Life Graphs Distance–time and speed–time graphs: what the gradient means when the axes are not just x and y.
Sequences, functions and graphs quiz
Twelve questions drawn at random from a bank of sixteen, covering nth terms, function machines, straight-line graphs and real-life graphs.
12 questions · pass mark 70%