3 hours Year 9 Extension Summer Term Unit 14 Sequences, functions and graphs

NNS 148–1 77

Autumn Term

Spring Term

Summer Term

Support (from Y9 teaching programme)
• 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)
• 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
• Find the next term and the nth 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

 

ATM (Using MATs)
~ Finding the square numbers in square, triangular and hexagonal growing patterns

MEDIAN - Formulae
~ Polygonal numbers: Give the formulae for triangular and square numbers… what might be the formulae for hexagonal numbers? Others?

 

 

~ ATM Mats

 

MAP – Level Ladders
~ Sequences functions and graphs