5 hours Year 9 Core Spring Term Unit 11 Sequences, functions and graphs

NNS 26–27, 164–177

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme)
• Recognise that equations of the form y = mx + c correspond to straight-line graphs

Core (from Y9 teaching programme)
• G iven values for m and c, find the gradient of lines given by equations of the form y = mx + c
• 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.

Extension (from Y9 objectives for able pupils)
• Investigate the gradients of parallel lines and lines perpendicular to these lines
• Plot graphs of simple quadratic and cubic functions, e.g. y = x 2 , y = 3 x 2 + 4, y = x 3

Starters

Main

ICT

Scaffolding

Key Questions

Notes

KS3 T5 Snappers
~ 6 Arrows

SHELL
~ Sketching graphs from pictures A4 L6

 

SHELL
~ Filling a swimming pool L6/7
~ A4 Sketching graphs from pictures
~ A5 looking at gradients
~ The point of no return

 

MAP

~ Matching Graphs

HORN, Cornwall
~ Walking the graph

BOTM
~ Y9 Real-Life Graphs
~ Y9 Algebraic Graphs

CORNWALL Vocabulary and key questions relating to the Framework

 

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

Extended task: SHELL Point of no return