3 hours Year 9 Core Summer Term Unit 15 Sequences, functions and graphs

NNS 26–27, 164–177

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme)
Plot the graphs of linear functions, where y is given explicitly in terms of x , on paper and using ICT; r ecognise that equations of the form y = mx + c correspond to straight-line graphs

Core (from Y9 teaching programme)
• Generate points and plot graphs of linear functions (y is given implicitly in terms of x) e.g. ay + bx = 0, y + bx + c = 0, on paper and using ICT; given values for m and c, find the gradient of lines given by equations of the form y = mx + c .
• Solve increasingly demanding problems; explore connections in mathematics across a range of contexts: algebra.

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

 

ATM
~ Finding the square numbers in square, triangular and hexagonal growing patterns

CORNWALL / Framework
~ Algebra 4 , Algebra 5 (Graphs)

KS3 Booster
~ Lesson 7 Sequences
~ Level 6 Lesson 7 Sequences

KS3 T5 Stinger
~ 8 Huts

~ ATM Mats

BOTM
~ Y9 Algebraic Graphs

 

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