6 hours Year 9 Extension Spring Term Unit 1 Sequences, functions and graphs

NNS 148–177

Autumn Term

Spring Term

Summer Term

Support (from Y9 teaching programme)
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 n th term of an arithmetic sequence
• Find the inverse of a linear function
Given values for m and c , find the gradient of lines given by equations of the form y = mx + c

Core (from Y9 objectives for able pupils)
• 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 next term and the nth term of quadratic sequences and functions and explore their properties • Investigate the gradients of parallel lines and lines perpendicular to these lines

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

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Starters

Main

ICT

Scaffolding

Key Questions

Notes

MAP ~ Matching Graphs

 

Mymaths

Sequences

Function Machines

nth Term

Quadratic Sequences

Active maths

Various sequences

Keymaths

9-2 Chapter 2

SHELL
~ Finding functions in situations (Depreciating car, Television)
~ Finding functions in tables of data
~ The missing planet

 

30 Calculator lessons for KS3
~ Lesson 21 Quadrilateral crazy

HORN, Cornwall
~ Generating sequences 4
~ Parallel and perpendicular lines

 

  MAP

~ Templates for plotting sequences

~ Autograph template for linear plotting

~ Autograph template for quadratic 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 ? Leads into perpendicular lines.


1, 2, 4. What could the next 2 terms be? Why?

MAP – Level Ladders
~ Sequences functions and graphs

Extended task: The missing planet