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C1 Tutorials

C1 Tutorials – MEI A Level Maths

Prior Knowledge

Algebra Basics

  1. Expanding a single bracket
  2. Expanding two or more brackets
  3. Squaring a bracket
  4. Terms in expressions and equations
  5. Identity or equation - what is the difference?
  6. Linear Equations with a positive x term
  7. Linear equations with a negative x-term
  8. Linear equations with two x-terms
  9. Linear equations with brackets
  10. Fractional linear equations
  11. f(x) notation
  12. Polynomials

Polynomials

  1. Polynomials

Pythagoras’ Theorem

  1. Pythagoras' theorem

Trigonometry Introduction

  1. Introduction to trigonometry
  2. Finding the length of a side
  3. Finding an angle
  4. Mixed Exercise - Pythagoras and Trigonometry

Number

Surds

  1. Surds - introduction & simplifying
  2. Addition and subtraction of surds
  3. Multiplying surds
  4. Dividing surds
  5. Rationalising surds
  6. Exam Questions - Surds

Algebra and Functions 1

Indices

  1. Introduction to indices (exponents)
  2. Multiplication rules for indices
  3. Division rule for indices
  4. Negative indices
  5. Fractions raised to a negative index
  6. Rational (fractional) indices
  7. Simplifying terms with negative powers
  8. Expressing terms in the form axn
  9. Equations in which the power has to be found
  10. Summary of indices
  11. Exam Questions - Indices

Functions

  1. f(x) notation

Factorising

  1. Introduction to factorising
  2. Highest common factor (HCF)
  3. Factorising by grouping
  4. Factorising quadratic expressions
  5. Mixed Exercise - Factorising
  6. Exam Questions - Factorising

Completing the Square

  1. Completing the square
  2. Applications of completing the square
  3. Exam Questions - Completing the square

Simultaneous Equations

  1. Elimination method for linear equations
  2. Substitution method for linear and non-linear equations
  3. Exam Questions - Simultaneous equations

Quadratics

Quadratic Equations

  1. Solve by factorising
  2. Solve by completing the square
  3. Solve by the quadratic formula
  4. Exam Questions - Solved by the quadratic formula
  5. Solving quadratic equations in some function of x

Quadratic Equations – Roots and Discriminant

  1. Roots and discriminant of a quadratic equation
  2. Exam Questions - Roots and discriminant

Quadratic Graphs

  1. Sketching quadratic graphs

Inequalities

Inequalities

  1. Linear inequalities
  2. Rules for reversing the inequality sign
  3. Solving a linear type
  4. Solving a double inequality
  5. Exam Questions - Solving a double inequality
  6. Quadratic inequalities
  7. Exam Questions - Quadratic inequalities
  8. Exam Questions - Simultaneous inequalities

Sketching Curves

Sketching Cubic and Reciprocal Curves

  1. Sketching cubic curves
  2. Sketching reciprocal curves of the form y = k/x

Graph Transformations and Asymptotes

  1. Basic graphs used in transformations
  2. Translations of graphs
  3. Reflections of graphs
  4. Stretches of graphs
  5. Exam Questions - Graph transformations

Coordinate Geometry

Gradient

  1. Line segment
  2. Parallel lines
  3. Perpendicular lines

Lines

  1. Equation of a straight line: y=mx+c
  2. Equation of a line given the gradient and point
  3. Distance between two points
  4. Mid-point of a line segment
  5. Equation of a parallel line
  6. Equation of a perpendicular bisector

Intersection of Graphs

  1. Intersection of two straight lines
  2. Intersection of a straight line and a parabola
  3. Intersection of a straight line and a hyperbola
  4. Nature of the intersection

Exam Questions – Straight Lines

  1. Exam Questions - Straight lines

Circles

  1. Equation of a circle
  2. Finding the centre and radius
  3. Circle properties
  4. Equation of a tangent to a circle
  5. Equation of a circle through 3 points
  6. Exam Questions - Circles

Algebra and Functions 2

Polynomials

  1. Polynomials

Algebraic Long Division

  1. Algebraic long division

Factor and Remainder Theorems

  1. The factor theorem
  2. How to solve a cubic equation
  3. Exam Questions - Factor theorem
  4. The remainder theorem
  5. Exam Questions - Remainder theorem

Sequences and Series

Binomial Expansion

  1. Binomial expansion
  2. Exam Questions - Binomial expansion for positive integer powers
  3. Exam Questions - Binomial expansion, comparing coefficients
  4. Exam Questions - Binomial expansion, estimating a value
  5. Exam Questions - Binomial expansion, other

The Language of Mathematics

The Language of Mathematics

  1. Problem solving
  2. Types of numbers
  3. Writing mathematics
  4. The converse of a theorem
  5. Proof