The CfEM scheme of work for GCSE maths re-sits was developed by teachers in the CfEM colleges, based on the Five Key Principles of Teaching for Mastery in Further Education (FE).

It provides an outline of a 90-hour sequence of lessons (30 weeks of 2 x 1.5 hours), with links to 36 full mastery lessons (including six written by the University of Nottingham for research purposes) that can be used and adapted by FE teachers.

Download a PDF copy of the scheme of work, including a rationale for its development and links to the lessons here:

The 30 lessons written by teachers in CfEM colleges can be found below. Each lesson includes a lesson plan and PowerPoint presentation, plus handouts and activities.

**Lesson 1: Attitudes to maths and getting un-stuck****Lesson 2: Mindsets, resilience and number sense****Lesson 3: Direct proportions****Lesson 4: Best buys****Lesson 5: Scales, maps and units****Lesson 6: Speed****Lesson 7: Basic fractions – have your cake and eat it!****Lesson 9: Sharing in a ratio****Lesson 10: Using ratios****Lesson 11: Multiplication and estimation****Lesson 12: Division and Estimation****Lesson 16: Adding and subtracting fractions****Lesson 18: Dividing fractions****Lesson 19: Benchmark percentages and equivalences**

**Lesson 21: Calculator percentages****Lesson 23: Exchange rates****Lesson 27: Directed numbers****Lesson 28: Notation and collecting like terms****Lesson 29: Substitution and formulae****Lesson 30: Expand and factorise****Lesson 31: Solving equations****Lesson 35: Properties of 2D shapes****Lesson 36: Area and perimeter of rectilinear shapes & compound shapes****Lesson 37: Circles****Lesson 38: Surface area and volume****Lesson 43: Graphs and charts****Lesson 44: Scatter graphs****Lesson 45: Averages and range****Lesson 47: Basic probability****Lesson 49: Arithmetic sequences**

A further 12 GCSE mastery lessons, developed by the University of Nottingham, can be found in the Research Lessons section.

The lessons can also be accessed via links in the scheme of work.

- Lesson 2 Handouts Zip folder (PDF)
- Lesson 2 Handouts Zip folder (Word)

- Direct proportion lesson plan (PDF)
- Direct proportion lesson plan (Word)
- Direct proportion slides (PPT)

- Lesson 3 Handouts Zip folder (PDF)
- Lesson 3 Handouts Zip folder (Word)

- Best buys lesson plan (PDF)
- Best buys lesson plan (Word)
- Best buys slides (PPT)

- Lesson 4 Handouts Zip folder (PDF)
- Lesson 4 Handouts Zip folder (Word)

- Lesson 5 Handouts Zip folder (PDF)
- Lesson 5 Handouts Zip folder (Word)

- Speed lesson plan (PDF)
- Speed lesson plan (Word)
- Speed slides (PPT)

- Lesson 6 Handouts Zip folder (PDF)
- Lesson 6 Handouts Zip folder (Word)

- Lesson 7 Handouts Zip folder (PDF)
- Lesson 7 Handouts Zip folder ( Word)

- Lesson 9 Handouts Zip folder (PDF)
- Lesson 9 Handouts Zip folder (Word)

- Using ratios (PDF)
- Using ratios (Word)
- Using ratios slides (PPT)

- Exchange rates lesson plan (PDF)
- Exchange rates lesson plan (Word)
- Exchange rates slides (PPT)

- Directed numbers lesson plan (PDF)
- Directed numbers lesson plan (Word)
- Directed numbers slides (PPT)

- Solving equations lesson plan (PDF)
- Solving equations lesson plan (Word)
- Solving equations slides (PPT)

- Circles lesson plan (PDF)
- Circles lesson plan (Word)
- Circles slides (PPT)

- Graphs and charts lesson plan (PDF)
- Graphs and charts lesson plan (Word)
- Graphs and charts slides (PPT)

- Scatter graphs lesson plan (PDF)
- Scatter graphs lesson plan (Word)
- Scatter graphs slides (PPT)

- Basic probability lesson plan (PDF)
- Basic probability lesson plan (Word)
- Basic probability slides (PPT)