By the end of this year in Mathematics, we will be able to understand, reason with and solve problems involving...

1

Pure 1

• Algebra and functions
• Inequalities
• Polynomials
• Curve sketching
• Straight lines and circles

2

• Differentiation
• Integration
• Trigonometric equations

3

• Vectors
• Exponentials
• Logarithms
• Proof

4

Statistics 1

• Collecting, representing and interpreting data
• Probability
• Discrete random variables

5

• Hypothesis testing using binomial models

Mechanics 1

• Units and kinematics
• Forces and Newton’s laws

6

Pure 2

• Partial fractions
• Binomial expansion
• Trigonometry and circular measure
• Functions and transformations

This links to:

• Higher algebra at GCSE level
• Skills covered supports algebraic manipulation throughout.
• Develops understanding of quadratics, and supports differentiation and integration.

• Leads onto differentiating and integrating exponentials and logarithms
• Develops understanding of trigonometric graphs

• Vectors supports forces calculations
• Builds upon understanding of exponentials and trigonometric functions
• Builds upon proof at higher GCSE

• Continuation of GCSE level interpretation of data.
• Develops understanding of the binomial model to be used in hypothesis testing

• Prepares for understanding of normal distribution
• Develops understanding of SUVAT equations

• .Uses algebraic manipulation skills
• Uses understanding of degrees as a unit, and introduces radians
• Knowledge of solving equations graphically, introduce modulus.

Key Vocabulary:

• Quadratic
• Surd
• Binomial
• Rationalise

• Polynomial
• Function

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• Differentiation
• Integration
• Derivative
• Integral

• Convex
• Concave
• Identity

• Position vector
• Component
• Magnitude
• Exponential

• Logarithm
• Deduction
• Exhaustion
• Counter example

• Sample
• Standard deviation
• Correlation coefficient

• Bivariate
• Regression
• Probability distribution

• Hypothesis
• Critical value

• Kinematics
• Displacement
• Equilibrium

• Partial fractions
• Validity
• Radians

• Composite
• Inverse
• Modulus

Target Grade:

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AP1:

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AP2:

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AP3:

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By the end of this year in Mathematics, we will be able to understand, reason with and solve problems involving...

1

Pure 2

• Proof
• Calculus of exponentials and trigonometric expressions
• Further differentiation
• Further integration
• Parametric equations

2

• Further trigonometry
• Differential equations
• Sequences and series

3

• Numerical methods

Mechanics 2

• Kinematics
• Equilibrium and resolving
• Statics and dynamics
• Moments

4

Statistics 2

• Further probability
• Statistical distributions
• Statistical hypothesis testing

5

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6

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This links to:

• Knowledge of proof from GCSE and year 12
• Application of differentiation and integration understanding to exponentials and trigonometric expressions from year 12.

• Building on trigonometry understanding from higher GCSE and year 12
• Further study of GCSE understanding of sequences

• Revisiting iteration from GCSE
• Continuation of understanding of mechanics from higher GCSE and year 12

• Application of GCSE probability skills to Venn Diagrams including set notation
• Application of understanding of year 12 binomial hypothesis testing to normal distribution hypothesis testing

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Key Vocabulary:

• Contradiction
• Integration
• Differentiation
• Exponential
• Trigonometric
• Chain rule

• Product rule
• Quotient rule
• Implicit differentiation
• Parametric equations

• Reciprocal
• Compound angle
• Harmonic form

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• Differential equations
• Sigma
• Arithmetic
• Geometric
• Infinite

• Roots
• Iteration
• Motion
• Constant acceleration
• Kinematics

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• Resolve
• Equilibrium
• Dynamic motion
• Projectile

• Set notation
• Venn diagram
• Conditional probability

• Normal distribution
• Correlation coefficient

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Target Grade:

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AP1:

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AP2:

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AP3:

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