AS Mathematics

Teacher X (4 periods)

Topic X1: Indices, surds and quadratics

Lessons

Laws of Indices

Surds

Solving Quadratic Equations

Quadratic Graphs

Completing the Square

Inequality Notation

Quadratic Inequalities

Discriminant

Disguised Quadratics

Topic test preparation

X1 (Pre-TT A) Indices, surds and quadratics

X1 (Pre-TT A) Indices, surds and quadratics MS

X1 (Pre-TT B) Indices, surds and quadratics

X1 (Pre-TT B) Indices, surds and quadratics MS

X1 (Post-TT A) Indices, surds and quadratics

X1 (Post-TT A) Indices, surds and quadratics MS

X1 (Post-TT B) Indices, surds and quadratics

X1 (Post-TT B) Indices, surds and quadratics MS

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Topic X2: Logarithms, exponentials and vectors

Lessons

Logarithms

Laws of Logs

Solving Exponential Equations

Disguised Quadratics using Logs

Exponential Graphs

Graphs of Logarithms

Exponential Modelling

Converting Exponentials to a Linear Model

Describing Vectors

Operations with Vectors

Position and Displacement Vectors

Vector Geometry

Topic test preparation

X2 (Pre-TT A) Logarithms, exponentials and vectors

X2 (Pre-TT A) Logarithms, exponentials and vectors MS

X2 (Pre-TT B) Logarithms, exponentials and vectors

X2 (Pre-TT B) Logarithms, exponentials and vectors MS

X2 (Post-TT) Logarithms, exponentials and vectors

X2 (Post-TT) Logarithms, exponentials and vectors MS

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Topic X3: Calculus

Lesson

Differentiating from First Principles

Differentiating Polynomials

Simplifying before Differentiating

Finding the Gradient at a Point

Interpreting First and Second Derivatives

Increasing and Decreasing Functions

Equations of Tangents to Curves

Equations of Normals to Curves

Stationary Points

Determining the Nature of Stationary Points

Optimisation

Indefinite Integration

Simplifying before Integrating

Finding the Constant of Integration

Definite Integration

Geometrical Significance of Definite Integration

Topic test preparation

X3 (Pre-TT A) Differentiation X3 (Pre-TT A) Differentiation MS

X3 (Pre-TT B) Calculus X3 (Pre-TT B) Calculus MS

X3 (Pre-TT C) Calculus X3 (Pre-TT C) Calculus MS

X3 (Post-TT A) Calculus X3 (Post-TT A) Calculus MS

X3 (Post-TT B) Calculus X3 (Post-TT B) Calculus MS

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Topic X4: Mechanics

Lessons

Displacement, Velocity and Acceleration

Kinematics and Calculus

Travel Graphs

Average Speed and Average Velocity

Solving Problems in Kinematics

Deriving the Constant Acceleration Formulae

Using the Constant Acceleration Formulae

Vertical Motion under Gravity

Multi-Stage Problems

Newton's_Laws_of_Motion

Combining_Forces

Types_of_Forces

Gravity and Weight

Forces in Equilibrium

Newton's 3rd Law

Normal Reaction Force

Further Equilibrium Problems

Connected Particles (horizontal)

Connected Particles (vertical)

Topic test preparation

X4 (Pre-TT A) Mechanics X4 (Pre-TT A) Mechanics MS

X4 (Pre-TT B) Mechanics X4 (Pre-TT B) Mechanics MS

X4 (Post-TT) Mechanics X4 (Post-TT) Mechanics MS

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Revision

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Teacher Y (3 periods)

Topic Y1: Polynomials and graphs

Lessons

Working with polynomials

Polynomial division

Factor Theorem

Sketching polynomial functions

Intersection of graphs

Discriminant revisited

Transformation of graphs

Reciprocal graphs

Direct and inverse proportion

Sketching inequalities in two variables

Topic test preparation

Y1 (Pre-TT) Polynomials and graphs

Y1 (Pre-TT) Polynomials and graphs MS

Y1 (Post-TT) Polynomials and graphs

Y1 (Post-TT) Polynomials and graphs MS

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Topic Y2: Coordinate geometry and binomial

Lessons

Midpoint and distance between two points

Equation of a straight line

Parallel and perpendicular lines

Equation of a circle

Solving problems with lines and circles

Binomial theorem

Calculating binomial coefficients

Applications of the binomial theorem

Topic test preparation

Y2 (Pre-TT A) Coordinate geometry and binomial

Y2 (Pre-TT A) Coordinate geometry and binomial MS

Y2 (Pre-TT B) Coordinate geometry and binomial

Y2 (Pre-TT B) Coordinate geometry and binomial MS

Y2 (Post-TT A) Coordinate geometry and binomial

Y2 (Post-TT A) Coordinate geometry and binomial MS

Y2 (Post-TT B) Coordinate geometry and binomial

Y2 (Post-TT B) Coordinate geometry and binomial MS

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Topic Y3: Trigonometry

Lessons

Graphs of sine and cosine

Sine rule (including ambiguous case)

Cosine rule

Area of a triangle

Graph of tangent

Exact value of trignometric functions

Trigonometric identities

Solving trigonometric equations using the CAST diagram

Transformations of trigonometric graphs

More complex trigonometric equations

Using identities to solve equations

Mathematical structures and arguments

Disproof by counter example

Proof by deduction

Proof by exhaustion

Topic test preparation

Y3 (Pre-TT) Trigonometry Y3 (Pre-TT) Trigonometry MS

Y3 (Post-TT) Trigonometry Y3 (Post-TT) Trigonometry MS

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Topic Y4: Statistics

Lessons

Statistical diagrams

Standard deviation

Standard deviation from frequency tables

Scatter diagrams and correlation

Outliers and cleaning data

Combining probabilities

Probability distributions

Binomial distribution

Populations, samples and sampling techniques

Introduction to hypothesis testing

Hypothesis testing with the Binomial distribution

Critical region for a hypothesis test

Topic test preparation

Y4 (Pre-TT A) Statistics Y4 (Pre-TT A) Statistics MS

Y4 (Pre-TT B) Statistics Y4 (Pre-TT B) Statistics MS

Y4 (Post-TT A) Statistics Y4 (Post-TT A) Statistics MS

Y4 (Post-TT B) Statistics Y4 (Post-TT B) Statistics MS

Binomial distribution Binomial distribution MS

Hypothesis Testing with Binomial distribution EXTRA

Hypothesis Testing with Binomial distribution EXTRA MS

Large data set (LDS)

LDS - brief explanation Spreadsheet of large data set

LDS - explanation with map & questions

LDS - explanation with map & questions MS

LDS - video playlist

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Revision

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