# 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 ax
^{n} - 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