# Plan 50 – where my maths GCSE class are going to get their next 50 marks

Plan 50 is the name I’m giving to a drive for each of my year 11 pupils to gain an additional 50 marks in their final mock exam in March compared to one they’ve just done in November.

The list below is all the things I’m going to cover over the next 50 lessons. The idea is for students to gain 1 extra exam mark per lesson. This list is more for me and for them but I thought I’d share it more widely in case it helps others.

As it stands, they’re grouped by general topic but they’re in no particular order. As I teach them, I’ll be bundling some together and pulling out the links between them, e.g. a few fractions lessons will take in the basic operations, solving algebraic fractions, pie charts, area of segments and best buy questions. When it comes to grouped frequency tables we’ll look at calculating the mean as well as drawing c.f. curves and histograms. With negative numbers, we’ll cover negative number operations, simplifying expressions, expanding brackets involving a negative, negative powers, vectors in the opposite direction and negative scale factors.

You’ll notice there are more than 50 items in the list… we can’t be too sure where those marks are going to come from!

**Number**

1. Increase or decrease a number by a percentage

2. Express something as a percentage of another.

3. Solve reverse percentage problems

4. Solve best buy questions

5. Solve time problems

6. Calculate speed and density

7. Convert speed units

8. Standard index form – multiply two brackets, divide, beware of calculations that give non standard-index-form

9. Give answer to another problem in standard form

10. Use upper and lower bounds in problems

11. Powers

12. Index form

13. Surds

14. Four operations with fractions and mixed numbers

15. Approximation

16. Recipes

17. Multi-layered ratio questions

18. Add and subtract with negative numbers

19. Prime numbers and square numbers

20. Mental and written multiplication and division with decimals

**Geometry**

1. Properties of quadrilaterals

2. Convert area and volume

3. Similar triangles

4. Work out the radius from the volume of spheres and cones

5. Find sides and angles using SOH CAH TOA

6. 3D trig

7. Find sides and angles using the Sine or Cosine rule

8. Find the area using ½abSinC

9. Find the area and circumference of circles and part circles

10. Translate, rotate, reflect and enlarge shapes

11. Describe translations, rotations, reflections and enlargements

12. Express lengths using vectors

13. Prove a shape is a parallelogram using vectors

14. Solve bearings problems

15. Solve scale problems; solve bearings/scale problems

16. Constructions

17. Solve loci problems; solve bearings/loci problems

18. Interior and exterior angles in polygons

19. Draw plans and elevations

20. Compound shapes involving algebra

21. Direct and indirect proportion

22. Circles inside squares

**Algebra**

1. Solve simultaneous equations

2. Expand and simplify (3x + y)(2x – 5y)

3. Write a formula then use it to find a missing value

4. Work out a formula from a graph

5. nth term sequences

6. Factorising the difference of two squares

7. Solve quadratics by factorising

8. Solve quadratics using the formula

9. Factorise algebraic fractions

10. Solve algebraic fractions

11. Rearrange algebraic fractions

12. Completing the square

13. Rearrange equations to make something the subject

14. Plot a linear or quadratic

15. Plot inequalities and regions; describe regions

16. Transforming graphs including quadratic, sine and cosine graphs

17. Trial and improvement

**Statistics**

1. Work out the angles on a pie chart

2. Compare the fractions of segments on a pie chart

3. Survey questions

4. Sampling

5. Solve problems to do with mean

6. Find the mean from a grouped frequency table

7. Draw a histogram

8. Find missing information from a histogram

9. Find the mean from a histogram

10. Draw a cumulative frequency curve

11. Find the median, LQ, UQ and IQ from a cumulative frequency curve

12. Draw a boxplot

13. Comment on spread and median from two boxplots

14. Use a line of best fit to make a prediction

15. Know the difference between a frequency polygon and a frequency diagram

16. Relative frequency

17. Tree diagrams without replacement

18. Non-obvious probability questions

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