Year 12 Maths Methods Revision

Maths Methods Video Tutorials

Maths Methods Video Tutorials

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EXAM-STYLE PRACTICE TESTS

FUNCTIONS & RELATIONS

1. Multiple Choice & Short Answer

2. Extended Response

CALCULUS

1. Multiple Choice & Short Answer (Differentiation)

2. Multiple Choice & Short Answer (All Calculus)

3. Extended Response

PROBABILITY

1. Multiple Choice & Short Answer

2. Extended Response

THE WHOLE YEAR

Full Exams

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

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 Fraction Powers

4. Sketching Circles

5. How to Factorise Polynomials

6. Functions Extended Response Question 3

FUNCTIONS & RELATIONS

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

2. Reading Functions & Domain and Range

3. Transformations – Functions and Points

4. Sum, Product & Inverse Functions

5. f(g(x)) – Composite Functions

6. 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

2. Finding the derivative – f'(x) of x, e, Log, Cos, Sin and Tan

4. The Chain, Product and Quotient Rules

5. Calculus Extended Response 1 – 3

Applications of Calculus

1. Continuous, Differentiable and Limits

2. Equation of the Tangent and Normal

3. How to Find Stationary Points

4. Bisection and Newton's Method

5. Pseudocode and Algorithms

6. Calculus Extended Response 4 – 6

Antidifferentiation

1. How to Antidiff anything

2. A Tough Antidiff

3. Finding Approximate Area and Understanding Exact Area

4. Integration – Finding Exact Area

5. Area Between Curves and Average Value

6. Rates of change – Velocity, Acceleration and stuff

7. Extended Response 7 – 13

Probability

Discrete Random Variables

1. Probability Basics

2. Discrete Random Variables

3. Discrete Random Variables – Measuring Centre

4. Discrete Random Variables – Measuring Spread

5. Probability Extended Response 1

6. Binomial Random Variables – Bernoulli and Binomial Distribution

7. Binomial Random Variables – More complex Binomials

8. Binomial Random Variables – Expected Value, Variance and Standard Deviation

9. Probability Extended Response 2

Continuous Random Variables

1. Basics of Continuous Random Variables

2. Measures of Center

3. Measuring Spread

4. Normal Distribution

5. Normal Distribution – Using Standard Normal Distributions

6. Normal Distribution – Using the Calculator

7. Probability Extended Response 3 – 4

Statistics

1. What are statistics?

2. Sampling Distributions

3. Mean, Standard Deviation and Large Populations

4. Normal Approximations of Binomials

5. Confidence Intervals

6. Margin of Error

7. Probability Extended Response 5 – 7

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Year 12 Maths Methods Revision Package

83 Lessons

0% Not started

EXAM-STYLE PRACTICE TESTS

4 Chapters

FUNCTIONS & RELATIONS

2 Lessons

1. Multiple Choice & Short Answer

2. Extended Response

CALCULUS

3 Lessons

1. Multiple Choice & Short Answer (Differentiation)

2. Multiple Choice & Short Answer (All Calculus)

3. Extended Response

PROBABILITY

2 Lessons

1. Multiple Choice & Short Answer

2. Extended Response

THE WHOLE YEAR

1 Lesson

Full Exams

Functions and Relations

6 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

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

6 Lessons

1. Sketching Functions – Turning Point Form

2. Sketching Functions – Intercept Form

3. Sketching Fraction Powers

4. Sketching Circles

5. How to Factorise Polynomials

6. Functions Extended Response Question 3

FUNCTIONS & RELATIONS

6 Lessons

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

2. Reading Functions & Domain and Range

3. Transformations – Functions and Points

4. Sum, Product & Inverse Functions

5. f(g(x)) – Composite Functions

6. 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

2. Finding the derivative – f'(x) of x, e, Log, Cos, Sin and Tan

4. The Chain, Product and Quotient Rules

5. Calculus Extended Response 1 – 3

Applications of Calculus

6 Lessons

1. Continuous, Differentiable and Limits

2. Equation of the Tangent and Normal

3. How to Find Stationary Points

4. Bisection and Newton's Method

5. Pseudocode and Algorithms

6. Calculus Extended Response 4 – 6

Antidifferentiation

7 Lessons

1. How to Antidiff anything

2. A Tough Antidiff

3. Finding Approximate Area and Understanding Exact Area

4. Integration – Finding Exact Area

5. Area Between Curves and Average Value

6. Rates of change – Velocity, Acceleration and stuff

7. Extended Response 7 – 13

Probability

3 Chapters

Discrete Random Variables

9 Lessons

1. Probability Basics

2. Discrete Random Variables

3. Discrete Random Variables – Measuring Centre

4. Discrete Random Variables – Measuring Spread

5. Probability Extended Response 1

6. Binomial Random Variables – Bernoulli and Binomial Distribution

7. Binomial Random Variables – More complex Binomials

8. Binomial Random Variables – Expected Value, Variance and Standard Deviation

9. Probability Extended Response 2

Continuous Random Variables

7 Lessons

1. Basics of Continuous Random Variables

2. Measures of Center

3. Measuring Spread

4. Normal Distribution

5. Normal Distribution – Using Standard Normal Distributions

6. Normal Distribution – Using the Calculator

7. Probability Extended Response 3 – 4

Statistics

7 Lessons

1. What are statistics?

2. Sampling Distributions

3. Mean, Standard Deviation and Large Populations

4. Normal Approximations of Binomials

5. Confidence Intervals

6. Margin of Error

7. Probability Extended Response 5 – 7

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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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