For best results, we recommend you follow the suggested study schedule we list here. This has been carefully designed to ensure you cover all the required content and still have time to prepare for your exams.

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## School holidays and Term 1

For best results, we recommend you follow the suggested study schedule we list here. AOS 1 should be fully completed and revised by the end of term 1 and you should have begun AOS 2. Ideally, you should have watched every video here once before the end of term.

### AOS 1: Funtions and graphs

**School holiday study**

Completed 3 weeks before the start of term 1: Transformations

Completed 2 weeks before the start of term 1: Function transformations

Completed 1 week before the start of term 1: Compositions of functions

**Term 1 study**

Week 1: Composite Functions- Domain and range

Week 2: Functions and their inverses

Week 3: Inverse Functions- Domain and range

Week 4: Graphical derivatives and anti-derivatives and How to identify critical points on a graph

Week 5: Identification of key features on graphs for functions and Exponential and logarithmic functions.

Week 6: Integration techniques for Polynomials, exponentials and circular functions

Week 7: * Revision: revisit the topics you learned in AOS 1 (tip practice a few questions from each topic). Try to spend 10 minutes a night this week revising.*

## AOS 2: Algebra

Week 8: Polynomial algebra and Polynomial functions

Week 9: Rational functions and Composite functions

Week 10: Literal Equations and Simultaneous equations

## School holidays and Term 2

For best results, we recommend you follow the suggested study schedule we list here. AOS 2 should be fully completed and revised by the end of term 2 and you should have almost completed AOS 3. Ideally, you should have watched every video here once before the end of term.

### AOS 2: Algebra

**School holiday study**

School holiday Week 1: Periodicity and other concepts

School holiday Week 2: Questions in the form f(x) g(x)

**Term 2 study** *Week 1: Revision: revisit the topics you learned in AOS 2 (tip practice a few questions from each topic). Try to spend 10 minutes a night this week revising AOS 2 and 5 minutes a night revising AOS 1. Don’t skip this!! Things you learnt in AOS 1 will still be on your exam even if you don’t have any SACs right now!*

## AOS 3: **Calculus **

Week 2: Rules of differentiation Part 1 (linearity) and Rules of differentiation Part 2 (Product rule)

Week 3: Rules of differentiation Part 3 (Chain rule) and Rules of differentiation Part 4 (Quotient rule) **Week 4: ** Using Definite Integrals and Properties of anti-derivatives and definite integrals

Week 5: Rules of differentiation and __Differentiation by first principles__

Week 6: Differentiating xn when n is a negative number and Anti-differentiation

Week 7: Applications for first and second derivatives part 1 and Applications for first and second derivatives part 2

Week 8: Derivatives of x^{n}, e^{x}, log_{e}(x), sin(x), cos(x), tan(x) and Derivatives of the Combinations of Functions

Week 9: Stationary critical points: Inflection points and Non-stationary critical points

Week 10: Stationary critical and turning points. Maxima and Minima part 1 and Local maximums and minimums

## School holidays and Term 3

For best results, we recommend you follow the suggested study schedule we list here. AOS 3 and AOS 4 should be fully completed and revised by the end of term 3. Ideally, you should have watched every video here once before the end of term and spent time revising each previous AOS.

**School holidays**

School holidays week 1: Average rates of change and instantaneous rates of change

School holidays week 2: The fundamental theorem of calculus **Term 3 study***Week 1: Revision: revisit the topics you learned in AOS 3, AOS 2 and AOS1 (tip practice a few questions from each topic). Try to spend 10 minutes a night this week revising AOS 3 and 5 minutes a night revising AOS 1 and AOS 2. Don’t skip this!! Things you learnt in previous AOS will still be on your exam even if you don’t have any SACs right now! *

## AOS 4: Probability and statistics

Week 3: Discrete random variables and Random Discrete Variables

Week 4: Random variables and Properties of normal distribution

Week 5: Bernoulli trials and the binomial distribution and Continuous probability

Week 6: Central limit theorem and Central limit theorem and its applications

Week 8: Distinction between a population parameter and sample statistics*Week 9: Revision: revisit the topics you learned in AOS 4, AOS 3, AOS 2 and AOS1 (tip practice a few questions from each topic). Try to spend 10 minutes a night this week revising AOS 4 and 5 minutes a night revising AOS 1, AOS 2 and AOS 3. Don’t skip this!! Things you learnt in previous AOS will still be on your exam even if you don’t have any SACs right now! *

## School holidays and Term 4

This entire block between now and your exams should be spent revising all four areas of studies and going over past exams.

## Revison

**School Holidays**

School holidays week 1: Take the methods 2020 exam 1. Set aside the full hour and 15 minutes. Treat this practise exam like it is the real thing! You can find the exam here. ONCE you have taken the 2020 exam, watch our videos on how to complete them. This will help you check step by step that you are answering the questions correctly. You can find the exam here.

## 2020 maths methods exam 1 solutions.

**2020 exam 1 video explanations and answers.**

Question 1 – includes a) and b) Question 2 – includes a) and b) Question 3 – Includes a) and b) Question 4 Question 5- Includes a) and b) Question 6 – Includes a) b) and c)

Question 7 – Includes a, b and c Question 8 – Includes a, b, c and d

School holidays week 2: Spend this week revising the topics for any questions you got wrong in the 2020 methods exam 1. Rewatch the videos, practice questions and ask your tutor for help. **Term 4 study**

Week 1: Take the methods 2020 exam 2. Set aside the full 2-hours and 15 minutes. Treat this practise exam like it is the real thing! You can find the exam here. ONCE you have taken the 2020 exam, watch our videos on how to complete them. This will help you check step by step that you are answering the questions correctly. You can find the exam here. **2020 Exam 2 answers and work through. **

## 2020 maths methods exam 2 solutions.

Exam 2**SECTION A**

Questions 1- 6 Questions 7 – 10 Questions 11 – 15 Questions 16 – 20

**Section B** (Coming soon)

Question 1 a, b, c, d, Question 1 e and f Question 2 a, b, c, d, e and f

Question 3 a, b, c, d, e and f Question 4 a, b, c, d and e

Question 5 a, b, c, d, e, f, g and h

Week 2: **S**pend this week revising the topics for any questions you got wrong in the 2020 methods exam 2. Rewatch the videos, practice questions and ask your tutor for help. *Week 3: Revise AOS 1 and 2Week 4: Revise AOS 3 and 4 *

**EXA ****EXAM 1 date: ****Wednesday**

**3 November**

EXAM 2 **date**: **Thursday**

**4 November**

**EXAM 1 date:**

**Wednesday****3 November**

EXAM 2

EXAM 2

**date**:

**Thursday****4 November**