Lessons

BONUS GIFT: The Ultimate Maths Methods Overview for Units 1&2

Year 11 MATHS METHODS IN 2.5 HOURS

IMPORTANT: Read this first

1. Functions and Relations

2. Probability

3. Algebra

4. Calculus

MATHS METHODS: IN DETAIL

LINEAR EQUATIONS

1. Really Basic Stuff

2. How to Draw Linear Equations

3. Parallel, Perpendicular and Literal

4. Midpoints, Length, Line Segments and Angles

5. Simultaneous Equations

MATRIX

1. Basic Stuff

2. Determinant and Inverse

3. Simultaneous Equations

PARABOLAS & QUADRATICS

1. The Basics

2. Simple Transformations

3. Quadratic Formula and Square Roots

4. Three Main Ways to Draw Them

5. How to Factorise Quadratics

CUBICS & QUARTICS

1. How to Draw Them

SKETCHING OTHER GRAPHS

1. Translation (Moving them around)

2. Stretching and Reflecting

3. Sketching in Intercept Form

4. Summary

FUNCTIONS & RELATIONS

1. Relations – Definition and How to Read Them

2. Domain and Range

3. Functions – Definition and How to Read Them

4. Types of Functions – One to One, Many to One and Hybrid

5. Types of Functions – Inverse Functions

6. Transformations – Functions and Points

7. Transformations – Using Matrices

8. Transformations – Series of Transformations

9. How to Factorise Polynomials

PROBABILITY

1. Probability Revision

2. Conditional Probability

3. Random Variables

4. Discrete Random Variables

5. Binomial Random Variables – Bernoulli and Binomial Distribution

LOG & EXPONENTIALS

1. Exponential Laws

2. What are Logarithms?

3. Log Laws

4. Using Log Laws

5. Sketching Logs and Exponentials

6. Understanding Euler’s Number (e)

CIRCULAR FUNCTIONS (sinθ, cosθ and tanθ)

1. Sin and Cos Definitions

2. Unit Circle

3. Radians

4. Using Radians

5. Proving Exact Values

6. How to Find Exact Values

7. Finding θ

8. Example of finding θ

9. Understanding the Graphs

10. Sketching the Graphs

11. Example of Sketching Cosθ

RATES OF CHANGE (calculus)

1. What You Need to Know First

2. Definition of Calculus

3. The First Principle

4. How to Graph f'(x)

5. Finding the Derivative

6. f'(x) for Parabolas, Cubics and Quartics

7. Symbols and Terminology

8. Equation of the Tangent and Normal

9. Types of Stationary Points

10. How to Find Stationary Points

11. How to Sketch Any Graph using Calculus

12. Rates of Change

13. Continuous, Differentiable and Limits

ANTIDIFFERENTIATION

1. How to Antidiff

2. Antidiff Symbols

3. Kinematics (velocity and acceleration)

INTEGRATION

1. Approximate Area

2. Understanding Exact Area

3. Finding Exact Area

Exam Style Questions

HOW TO PREPARE FOR YEAR 12

Questions