6 hours

Year 9 Core

Autumn Term

Unit 1

Sequences, functions and graphs

NNS 26–27, 148–163, 172–177

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme) • Generate and describe integer sequences.
Core (from Y9 teaching programme) • Generate sequences from practical contexts • 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 the nth term of an arithmetic sequence . • Construct functions arising from real-life problems & plot their corresponding graphs; interpret graphs arising from real situations , including distance-time 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. • Find the inverse of a linear function
Extension (from Y9 objectives for able pupils) • Find the next term and the n th 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
Starters	Main	ICT	Scaffolding	Key Questions	Notes
	Mymaths Sequences Function Machines nth Term Quadratic Sequences Active maths Various sequences Keymaths 9-2 Chapter 2 MAP ~ Multilink algebra	30 Calculator lessons for KS3 ~ Lesson 15 Fraction sequences HORN, Cornwall ~ Generating sequences 3 ~ Generating sequences (spreadsheet version)	MAP ~ Templates for plotting sequences ~ Autograph template for linear plotting ~ Paper template for linear plotting	What happens when the gradient gets bigger / smaller / negative? Give set of equations and set of graphs to match . How did you work it out? Using equations of straight lines, can you create a square ? Explain what happens when two lines are perpendicular? 1, 2, 4. What could the next 2 terms be? Why?	MAP - Level Ladders ~ Sequences, functions and graphs