P1 Tutorials
Prior Knowledge
Algebra Basics
- Expanding a single bracket
- Expanding two or more brackets
- Squaring a bracket
- Terms in expressions and equations
- Identity or equation - what is the difference?
- Linear Equations with a positive x term
- Linear equations with a negative x-term
- Linear equations with two x-terms
- Linear equations with brackets
- Fractional linear equations
- f(x) notation
- Polynomials
Polynomials
Indices
- Introduction to indices (exponents)
- Multiplication rules for indices
- Division rule for indices
- Negative indices
- Fractions raised to a negative index
- Rational (fractional) indices
- Simplifying terms with negative powers
- Expressing terms in the form axn
- Equations in which the power has to be found
- Summary of indices
- Exam Questions - Indices
Algebra and Functions 1
Completing the Square
Quadratics
Quadratic Equations
Quadratic Equations – Roots and Discriminant
Quadratic Graphs
Inequalities
Algebra and Functions 2
Coordinate Geometry
Lines
Trigonometry
Trigonometric Ratios
Trigonometric Graphs and Transformations
Applications of Trigonometry
Trigonometric Equations
Vectors
Vectors
Scalar Product (Dot Product)
Sequences and Series
Arithmetic Progressions
Geometric Series
Differentiation
Differentiation – Introduction
Tangents and Normals
The Chain Rule
Connected Rates of Change
Stationary Points
Increasing and Decreasing functions
Integration
Integration – Introduction
Equations of Curves
Integration – Common Functions
Definite Integration
Applications of Integration – Area bound by a curve
Applications of Integration – Volumes of revolution
- Volume of revolution about the x-axis
- Exam Questions - Volume of revolution about the x-axis
- Volume of revolution about the x-axis generated between curves
- Volume of Revolution about the y-axis
- Exam Questions - Volume of Revolution about the y-axis
- Volume of Revolution about the y-axis generated between curves