# Mathematics KS4 Curriculum

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## GCSE (Yr 9-11)

#### OUR VISION

We have developed an inspiring, motivating and coherent maths syllabus for the entire ability range, which emphasises and encourages:

• Sound understanding of concepts
• Fluency in procedural skill
• Competency to apply mathematical skills in a range of contexts
• Confidence in mathematical problem solving

#### WHAT STAYS THE SAME, WHAT CHANGES?

• The minimum assessment time will now be a total of four and a half hours for both Foundation and Higher tiers.
• The new Maths GCSE will count as two qualifications but with one only a single grade.
• A new list of required content has been published and there is an expectation that students will memorise many more formulae than previously.
• Questions in assessments will be less clearly structured and more open-ended, frequently set within real-world contexts.
• GCSE Maths will no longer have marks allocated to Quality of Written Communication (QWC) in selected questions, but ‘communicate information accurately’ is a part of the new AO2.
• A new content area has been added, ‘Ratio, proportion and rates of change’ and the weightings of each content area are set by Ofqual at each tier as below (±3%).
Strand                 Foundation                 Higher
Number                      25%                 15%
Algebra                      20%                 30%
Ratio and proportion                      25%                 20%
Geometry and measures                      15%                 20%
Probability and statistics                      15%                 15%

#### GCSE (9-1) MATHEMATICS AT A GLANCE

##### Subject content introduced in the new GCSE:

• Know the exact values of sinθ and cosθ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tanθ for θ = 0°, 30°, 45° and 60° (Foundation and Higher tiers).
• Use inequality notation to specify simple error intervals due to truncation or rounding (Foundation and Higher tiers). • Use Venn diagrams (Foundation and Higher tiers).
• Work with percentages greater than 100% (Foundation and Higher tiers).
• Recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point (Higher tier only).
• Find approximate solutions to equations numerically using iteration (Higher tier only).
• Interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts (Higher tier only).

##### Foundation tier now includes previously Higher tier content:

• Using trigonometric ratios
• Calculating with and interpreting standard form (A x 10n), where 1 ≤ A < 10 and n is an integer
• Applying addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors
• Factorising quadratic expressions of the form x2 + bx + c, including the difference of two squares
• Using y = mx + c to work with straight lines on graphs.