P1-P2 Tutorials – Edexcel International A Level (IAL)
Prior Knowledge
Algebra Basics
- Expanding a single bracket
- Expanding two or more brackets
- 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
Pythagoras’ Theorem
Number
Algebra and Functions
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
Functions
Factorising
Completing the Square
Quadratics
Quadratic Equations
Quadratic Equations – Roots and Discriminant
Quadratic Graphs
Inequalities
Algebra and Functions
Algebraic Long Division
Sketching Curves
Sketching Cubic and Reciprocal Curves
Graph Transformations and Asymptotes
Sequences and Series
Working with Sequences and Series
Arithmetic Progressions
Geometric Series
Coordinate Geometry
Lines
Intersection of Graphs
Exam Questions – Straight Lines
Logarithmic and Exponential Functions
Exponential Functions and Logarithms
- Exponential functions: what they are and their graphs
- What do we mean by a log?
- Rules of logs
- Logarithms - Change of Base
- Simplifying and expanding
- Converting between Logarithmic and Power (Exponential) equations
- Modelling exponential growth and decay
- Modelling exponential equations | Exam Questions
- Exponential and log equations
- Simultaneous equations
- Solving inequalities
- Exam Questions - Logarithms