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

NNS P6 - 13, P28 - 29
P160 - 177

Autumn Term

Spring Term Summer Term

Support (from Y7 teaching programme)
• Express simple functions in words
• Generate coordinate pairs that satisfy a simple linear rule; recognise straight-line graphs parallel to the x -axis or y -axis.

Core (from Y8 teaching programme)
• Express simple functions in symbols; represent mappings expressed algebraically.
• Generate points in all four quadrants & plot the graphs of linear functions where y is given explicitly in terms of x, on paper; recognise that equations of the form y = mx+c correspond to straight-line graphs .
• Discuss and interpret graphs arising from real situations
.
• Construct linear functions arising from real-life problems and plot their corresponding graphs
• Solve more demanding problems and investigate in a range of contexts: algebra
• Solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for algebraic manipulation

Extension (from Y9 teaching programme)
• Find the inverse of a linear function
• Plot graphs of linear functions ( y 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 .
• Discuss and interpret distance–time graphs

Starters

Main

ICT

Scaffolding

Key Questions

Notes

 

Connect 5


 


 

Mymaths

Drawing Graphs

Real Life

y=mx+c

Active maths

Distance-time graph and train timetable

y = mx + c graph generator

More y = mx + c graphs

The gradient of a straight line

 

Bathtime with Archimedes

SHELL
~ The vending machine L6
~ Finding functions in situations L6

 

MAP
~ Fascinating food
~ Hare and Tortoise

 

 

 

 

HORN, Cornwall
~ Function machines

 

MAP
~ Ready drawn axes

 

 

 

 

 

Find another line that is parallel to this one. How do you know they are parallel?

 

Find another line with the same y-intercept

 

Which of these are parallel: y = 2x+1, y = x+2, 2y = 4x – 10?

MAP – Level Ladders
~ Sequences, functions, graphs

Able
ATM What Kind of Game...
~ Harder Function loops 2