# Summary of proposed changes to GCSE Mathematics

### Changes to Format/Administration

- Grades 8 to 1 (not corresponding to A* to G – aim is to even out the distribution more)
- Still tiered; still “overlapping” tiers but degree of overlap may well change
- Assessment by terminal examination only; minimum assessment time 3.5 hours
- No “SPAG” marks in Mathematics
- Still Nov resit – but considering Year 12 and older only to prevent early/repeated entry
- Detailed feedback in each area unlikely

### Changes to Content

**More formulae need to be recalled including:**

- Volume/surface area of a cone and sphere
- Volume of a prism
- Area of a trapezium
- Sine/Cosine Rules and Area of a non-right angled triangle
- The quadratic formula
- Velocity and acceleration

**Additional material**

- Algebra
- Kinematics (three “suvat” equations are given)
- Error intervals using inequality notation
- Function notation including composition of two functions/inverses; construct and apply functions to problems
- Graph of y=k
^{x}for positive integer k - Identify and interpret gradients, roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically and
**turning points by completing the square** - Quadratic inequalities, including solution sets in set notation
- Nth term of a quadratic sequence
- More graphs including exponential, piece-wise; problem solving e.g. kinematic problems, financial graphs; calculating area under graphs

- Ratio, proportion and rates of change
- Rates of change, represented graphically and algebraically.

- Geometry
- Identify, describe and construct shapes transformed by stretch parallel to an axis; identify invariant points and lines of each transformation
- Apply circle theorems in geometric proofs (as well as proving the theorems themselves)
- Construct geometric arguments and proofs using vectors
- Describe changes and invariance after a combination of transformations

- Probability
- Conditional probability; using Venn diagrams and the formulae P(A or B) = P(A) + P(B) – P(A and B), P(A and B) = P(A given B)P(A)
- Calculating lines of best fit
- Expected outcomes compared to long-run averages

- Statistics
- Interpolate and extrapolate trends

Thanks to Ian Davies, the ARK Network Lead for Mathematics, for compiling this information.

**More information**

GCSE subject content and assessment objectives

Consultation on GCSE subject content and assessment objectives

Good summary, how do you feel about it? I think the new topics are a good step forward, but was hoping more set theory would be brought in, as well as group theory and an introduction to calculus. I don’t see the benefit of changing grades from letters to numbers and feel it will cause confusion.

It is about time that harder topics were introduced to the syllabus