AS Pure Mathematics Course.
You will need:
-A4 Small Squared (5mm) Paper or an A4 Small Squared Paper Exercise Book
-0.7mm Mechanical Pencil and/or Multi-coloured pen.
-Rubber, highlighters, ruler, protractor, compass, A-level permitted calculator
You will also need the EDEXCEL Pure mathematics AS textbook, but speak to me first before you buy.
Useful Websites:
-Equation Solver- to confirm your working out. For powers, use the ^ key.
- Graphing Tool - to confirm your diagrams
The Course:
The Videos:
Ch1_1: Algebraic Expressions | Solutions
Ch1_2: Expanding Brackets | Solutions
Ch1_3: Factorising | Solutions
Ch1_4: Negative & Fractional Indices | Solutions
Ch1_6: Rationalising Denominators | Solutions
Ch1: Mixed Exercise | Solutions
Musical Interlude #1 - Hiromi Uhehara
Ch2_1: Solving Quadratic Equations: Factorising & The Quadratic Equation | 2A Solutions | 2B Solutions
Ch2_2: Solving Quadratic Equations: Completing The Square | Solutions
Ch2_4: Quadratic Graphs | Solutions
Ch2_5: The Discriminant | Solutions
Ch2_6: Modelling with Quadratics | Solutions
Ch2: Mixed Exercise | Solutions
Musical Interlude #2 - Jeff Goldblum
Ch3_1: Linear Simultaneous Equations
Ch3_2: Quadratic Simultaneous Equations
Ch3_3: Simultaneous Equations on Graphs
Musical Interlude #3 - Vulfpeck
Ch4_6: Stretching and Reflecting Graphs
Musical Interlude #4 - Renee Fleming
Review Exercise 1 Completed | Review Exercise 1 Walkthrough
Ch5_2: Equations of Straight Line Graphs
Ch5_3: Parallel and Perpendicular Lines
Ch5_5: Modelling With Straight Line Graphs
Ch6_1: Midpoints and Perpendicular Bisectors
Ch6_3: Intersections of Straight Lines and Graphs
Ch6_4: Tangent and Chord Properties
Musical Interlude #7 Dragonforce
AS Ch7 Completed
Ch7_1: Algebraic Fractions
Ch7_2: Dividing Polynomials
Ch7_3: The Factor Theorem
Ch7_4: Mathematical Proof
Ch7_5: Methods of Proof
Ch7: Mixed Exercise
Musical Interlude #8 - Dadi Freyr
*Ch8: Factorial and nCr Buttons
Ch8_4: Solving Binomial Problems
Musical Interlude #9 - Perpetuum Jazzile
AS Ch9 Completed
Ch9_1: The Cosine Rule
Ch9_2: The Sine Rule
Ch9_3: Areas of Triangles
Ch9_4: Solving Triangle Problems
Ch9_5: Graphs of Sine, Cosine and Tangent
Ch9_6: Transforming Trigonometric Graphs
Ch9: Mixed Exercise
Musical Interlude #10 - Radiohead
AS Ch10 Completed
Ch10_1: Angles In All Four Quadrants
Ch10_2: Exact Values of Trigonometric Ratios
Ch10_3: Trigonometric Identities
Ch10_4: Simple Trigonometric Equations
Ch10_5: Harder Trigonometric Equations
Ch10_6: Equations and Identities
Ch10: Mixed Exercise
Musical Interlude #11 - Nightwish
Review Exercise 2
Musical Interlude #12
AS Ch11 Complete
Ch11_1: Vectors
Ch11_2: Representing Vectors
Ch11_3: Magnitude and Direction
Ch11_4: Position Vectors
Ch11_5: Solving Geometric Problems
Ch11_6: Modelling With Vectors
Musical Interlude #13 - Heilung
AS Ch12 Completed
Ch12_2: Finding The Derivative
Ch12_4: Differentiating Quadratics
Ch12_5: Differentiating Functions With Two or More Terms
*Desmos Tangent & Normal Grapher
Ch12_6: Gradients, Tangents and Normals
Ch12_7: Increasing and Decreasing Functions
Ch12_8: Second Order Derivatives
Ch12_9: Stationary Points
Ch12_10: Sketching Gradient Functions
Ch12_11: Modelling With Differentiation
AS Ch13 Completed
Ch13_1: Integrating x^n
Ch13_2: Indefinite Integrals
Ch13_3: Finding Functions
Ch13_4: Definite Integrals
Ch13_5: Areas Under Curves
Ch13_6: Areas Under the x-Axis
Ch13_7: Areas Between Curves and Lines
Musical Interlude #15 - Kate Bush
Ch14_6: Solving Equations With Logarithms
Ch14_7: Working With Natural Logarithms
Ch14_8: Logarithms and Non-Linear Data
Musical Interlude #16 - Dadi Freyr
Review Exercise 3
Musical Interlude #17 - Carl Orff
Exam-Style Practice Paper 1 | Solutions | Walkthrough
Additional Resources and Videos
Past Papers
Sam1 AS Pure Qus | Mark Scheme & Solutions | Walkthrough
2017 AS Pure Qus | Mark Scheme & Solutions | Walkthrough
2018 AS Pure Qus | Mark Scheme & Solutions | Walkthrough
2019 AS Pure Qus | Mark Scheme & Solutions | Walkthrough
2020 AS Pure Qus | Mark Scheme & Solutions | Walkthrough
2022 AS Pure Qus | Mark Scheme & Solutions | Walkthrough
External Websites: