# Edexcel C1 Core Maths

### Prior Knowledge

Identity or Equation?

Expanding brackets

Solving Equations (Linear type)

- Before you start - What is a term?
- Equations with a positive x-term
- Equations with a negative x-term
- Equations with two x terms and 2 constants
- Equations with brackets
- Fractional equations (1)
- Fractional equations (2)
- Fractional equations (3)
- Fractional equations (4)
- Fractional equations (5)

Pythagoras' Theorem

**Trigonometry: Right-Angled Triangles**

### Algebra and Functions

Indices

- Introduction
- Multiplication rule 1
- Multiplication rule 2
- Division
- Negative indices
- Fractions raised to a negative index
- Rational (fractional) indices
- Simplifying (negative powers)
- Expressing terms in the form ax
^{n} - Equations in which the power has to be found
- Summary of indices
- Beastie
- Exam questions

Standard Form (Scientific notation)

Surds

Functions

Factorising

- Introduction
- HCF types
- Grouping types
- Quadratic expressions

- Miscellaneous Exercise
- Exam questions

Completing the Square

- How to do it
- Applications
- Exam questions

Quadratic Equations

- Equations

Quadratic Graphs

Polynomials

Simultaneous Equations

- Elimination method for linear types
- Substitution Method for linear and non linear types
- Exam Questions

Inequalities

- Linear inequalities
- Quadratic inequalities

### Sketching Curves

Cubic Curves

Reciprocal Curves

Graph Transformations and Asymptotes

- Learn these base graphs
- Translations
- Reflections
- Stretches
- Asymptotes

### Sequences and series

Sequences

Recurrence relationships

Sigma notation

Arithmetic Progressions (sequences and series)

### Coordinate geometry

Gradient

Lines

- Equation of a line: y=mx+c
- An alternative form of the equation of a line : y - y
_{1}= m (x - x_{1}) - Distance between two points
- Mid-point of a line segment
- Equation of a parallel line
- Equation of a perpendicular bisector

Intersection of graphs

Useful methods you might want to learn (but not on specification)

Exam Questions on Coordinate Geometry

ExamSolutions Beasties

### Differentiation

Introduction

- The gradient function dy/dx
- terms of the form ax
^{n} - Second Derivatives
- Exam Questions

Tangents and Normals

- Tangents and normals
- Exam Questions
- ExamSolutions Beasties

### Integration

Introduction

Equations of curves

### Exam Papers

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