About cookies

The NCETM site uses cookies. Read more about our privacy policy

Please agree to accept our cookies. If you continue to use the site, we'll assume you're happy to accept them.

 

Personal Learning Login






Sign Up | Forgotten password?
 
Register with the NCETM

4. Sequences and graphs


Created on 25 July 2019 by ncetm_administrator
Updated on 22 August 2019 by ncetm_administrator

4. Sequences and graphs

Theme 4 is Sequences and graphs. It comprises two interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.

For each core concept, we have produced a detailed guidance document underpinned by a clear set of pedagogical principles and practices to support planning. Each document offers an overview of the content within the statements of knowledge, skills and understanding, and breaks them down further into focused key ideas.

At the end of the documents, some of the key ideas are exemplified, to demonstrate what planning for secure and deep understanding of mathematics at Key Stage 3 might involve. Other key ideas are left for individual departments and teachers to work on, alongside existing material and schemes.

There is also a guidance document that offers an overview of the theme as a whole.

Click the links below to download the documents.

  • 4 Sequences and graphs
    Theme 4 explores arithmetic and other sequences, coordinates, equations and graphs, and the modelling of situations graphically
     
  • 4.1 Sequences
    This core concept covers sequences through exploration of the mathematical structure. It also introduces the idea of the nth term of a linear sequence
     
  • 4.2 Graphical representations
    This core concept introduces the idea of x- and y-coordinates as the input and output of a function. Linear and quadratic functions are explored, as well as how linear graphs are used to solve simultaneous equations
     

The NCETM and Maths Hubs would like to thank the following for their contribution to the materials:

  • Secondary mathematics specialists: Debbie Barker; Frances Carr; Clare Dawson; Pete Griffin; Alison Hopper; Carol Knights; Steve Lomax; Richard Perring; Pete Sides; Maths Hubs Secondary Mathematics Specialists
     
  • Educational consultant: Dr Alf Coles, University of Bristol
     
  • Editorial and production: Natasha Chippendale; Charlotte Christensen; Bronwyn Enright; Jackie Mace; David Mantovani; Andrew Young
     
  • Illustrations: Steve Evans

 

 

Comment on this item  
 
Add to your NCETM favourites
Remove from your NCETM favourites
Add a note on this item
Recommend to a friend
Comment on this item
Send to printer
Request a reminder of this item
Cancel a reminder of this item

Comments

 


19 August 2019 11:55
It is a pity that the idea of 'function' as a unifying theme is not explored more creatively. I worry that the approach presented here would lead to a misunderstanding that all functions are well-behaved and algebraic, where in some other high performing countries the approach is more general, with sequences, linear and quadratic being special cases.that we can deal with at this stage.
By Anne_Watson
         Alert us about this comment  
Only registered users may comment. Log in to comment