Year 11 Maths Methods Revision

Maths Methods Video Tutorials

Maths Methods Video Tutorials

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Functions and Relations

LINEAR EQUATIONS

1. How to Draw Linear Equations

2. Parallel, Perpendicular and Literal Lines

3. Midpoints, Length, Line Segments and Angles

4. Simultaneous Equations

5. Functions Extended Response Question 1

SURDS

1. What are Surds?

2. Multiplying Surds

3. Dividing Surds (and Expanding)

4. Adding Surds

PARABOLAS & QUADRATICS

1. Three Main Ways to Draw Parabolas

2. Quadratic Formula and Square Roots

3. How to Factorise Quadratics

4. Completing the Square

5. Simultaneous Equations & Inequalities

6. Functions Extended Response Question 2

HOW TO SKETCH ANY FUNCTION

1. Sketching Functions – Turning Point Form

2. Sketching Functions – Intercept Form

3. Sketching Circles

4. How to Factorise Polynomials

5. Functions Extended Response Question 3

FUNCTIONS & RELATIONS

1. Functions, One to One, Many to One and Hybrid

2. Reading Functions & Domain and Range

3. Transformations – Functions and Points

4. Inverse Functions

5. Functions Extended Response Question 4

LOGS AND EXPONENTIALS

1. Exponential Laws (Power Laws)

2. Logarithms

3. Sketching Logs and Exponentials

4. Functions Extended Response 5

SIN, COS & TAN

1. The Unit Circle and Sin, Cos & Tan

2. Understanding Exact Values

3. How to Find Exact Values

4. Finding θ

5. Understanding the Graphs of Sin, Cos & Tan

6. Sketching Sin, Cos & Tan

7. Functions Extended Response 6 – 7

Calculus

Derivatives

1. Calculus, First Principle, Graphing Derivatives

2. More on First Principle and Approximating the Derivative

3. Finding the derivative

4. The Chain Rule

5. Calculus Extended Response 1 – 3

Applications of Calculus

1. Equation of the Tangent and Normal

3. How to Find Stationary Points

4. Pseudocode and Algorithms

5. Bisection and Newton's Method

6. Calculus Extended Response 4 – 6

Antidifferentiation

1. How to Antidiff anything

2. Finding Approximate Area and Understanding Exact Area

3. Integration – Finding Exact Area

4. Area Between Curves and Average Value

5. Rates of change– Velocity, Acceleration and stuff (Old curriculum)

6. Extended Response 7 – 13

Probability

Counting Methods

1. Adding and Multiplying Rules

2. Arrangements Without Replacement

3. Combinations

Discrete Random Variables

1. Probability Basics

2. Discrete Random Variables

3. Binomial Random Variables – Bernoulli and Binomial Distribution

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Year 11 Maths Methods Revision Package

58 Lessons

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Functions and Relations

7 Chapters

LINEAR EQUATIONS

5 Lessons

1. How to Draw Linear Equations

2. Parallel, Perpendicular and Literal Lines

3. Midpoints, Length, Line Segments and Angles

4. Simultaneous Equations

5. Functions Extended Response Question 1

SURDS

4 Lessons

1. What are Surds?

2. Multiplying Surds

3. Dividing Surds (and Expanding)

4. Adding Surds

PARABOLAS & QUADRATICS

6 Lessons

1. Three Main Ways to Draw Parabolas

2. Quadratic Formula and Square Roots

3. How to Factorise Quadratics

4. Completing the Square

5. Simultaneous Equations & Inequalities

6. Functions Extended Response Question 2

HOW TO SKETCH ANY FUNCTION

5 Lessons

1. Sketching Functions – Turning Point Form

2. Sketching Functions – Intercept Form

3. Sketching Circles

4. How to Factorise Polynomials

5. Functions Extended Response Question 3

FUNCTIONS & RELATIONS

5 Lessons

1. Functions, One to One, Many to One and Hybrid

2. Reading Functions & Domain and Range

3. Transformations – Functions and Points

4. Inverse Functions

5. Functions Extended Response Question 4

LOGS AND EXPONENTIALS

4 Lessons

1. Exponential Laws (Power Laws)

2. Logarithms

3. Sketching Logs and Exponentials

4. Functions Extended Response 5

SIN, COS & TAN

7 Lessons

1. The Unit Circle and Sin, Cos & Tan

2. Understanding Exact Values

3. How to Find Exact Values

4. Finding θ

5. Understanding the Graphs of Sin, Cos & Tan

6. Sketching Sin, Cos & Tan

7. Functions Extended Response 6 – 7

Calculus

3 Chapters

Derivatives

5 Lessons

1. Calculus, First Principle, Graphing Derivatives

2. More on First Principle and Approximating the Derivative

3. Finding the derivative

4. The Chain Rule

5. Calculus Extended Response 1 – 3

Applications of Calculus

5 Lessons

1. Equation of the Tangent and Normal

3. How to Find Stationary Points

4. Pseudocode and Algorithms

5. Bisection and Newton's Method

6. Calculus Extended Response 4 – 6

Antidifferentiation

6 Lessons

1. How to Antidiff anything

2. Finding Approximate Area and Understanding Exact Area

3. Integration – Finding Exact Area

4. Area Between Curves and Average Value

5. Rates of change– Velocity, Acceleration and stuff (Old curriculum)

6. Extended Response 7 – 13

Probability

2 Chapters

Counting Methods

3 Lessons

1. Adding and Multiplying Rules

2. Arrangements Without Replacement

3. Combinations

Discrete Random Variables

3 Lessons

1. Probability Basics

2. Discrete Random Variables

3. Binomial Random Variables – Bernoulli and Binomial Distribution

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About the teacher

Alex Bell

Hey guys! It's Alex, I'm the creator of MathsMethods.com.au with degrees in Mathematics/Astrophysics. I've educated students for my entire career, spent several years rewriting the Maths Methods textbook to create my popular video tutorials that focus on a solid understanding the fundamentals, as this is the key to making Maths Methods easier for all students.

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