1. Key Stage 3 National Strategy © Crown copyright 2004 Constructing and solving linear equations in Year 8

2. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.1 Objectives To consider Year 8 teaching objectives in constructing and solving linear equations To outline an effective progression and teaching approaches to help pupils construct and solve linear equations To develop lessons that incorporate activities from the session

3. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.2 Expressions and terms –3ahd 5.8 –3a + hd 2(2a – c) + 182(2a – c) 2(2a – c + 9) 5 + 0.8 4a – 2c a 2 a 2 + b 2 6a + 2a

4. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.3 Factors 6a – 8 =  (3a +  ) 6n + 24 =  (  +  ) consider

5. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.4 Clouding the picture

6. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.5 Constructing equations Find the number n that will give the same value for the upper cells in both pyramids. Rule: Add adjacent expressions to give the result in the cell above.

7. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.6 Using a number line to solve equations n + 11 = 3n + 6

8. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.7 Using a number line to solve equations x + 13 = 2x + 7 4x – 3 = 2x + 18 3x + 2 = x – 4

9. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.8 Using the matching method x + 13 = 2x + 7 3x + 2 = x – 4 16 – 3x = x – 20

10. Key Stage 3 National Strategy Mathematics © Crown copyright 2004 3.9 Crown copyright statement The content of this presentation may be reproduced free of charge by schools, local education authorities and ITT providers provided that the material is acknowledged as Crown copyright, the publication title is specified, it is reproduced accurately and not used in a misleading context. Anyone else wishing to reuse part or all of the content of this publication should apply to HMSO for a core licence. The permission to reproduce Crown copyright protected material does not extend to any material in this publication which is identified as being the copyright of a third party. Applications to reproduce the material from this publication should be addressed to: HMSO, The Licensing Division, St Clements House, 2–16 Colegate, Norwich NR3 1BQ Fax: 01603 723000 Email: hmsolicensing@cabinet-office.x.gsi.gov.uk