# year 11-12 MAths

## What our Year 11-12 Maths students will develop

### A deeper level of understanding

All of our material is directly linked to topics from the NSW Board of studies. We start with explaining theory, then start with easier questions and move onto exam style questions

### A fun learning environment

Our lessons are fun, engaging and relaxed. We encourage group discussions, and students are encouraged to ask as many questions as possible!

## What you will recieve

#### Each student at PLATO receives three different books each week which are personalised to each individual!

### Weekly books

We design, print and hand out new books to all students each week. We do not bulk print our materials at the start of each term! Our materials evolve week-to-week, learning from the mistakes of all students and automatically refine to become the ultimate learning tools!

###
Class theory book

The theory books contain the class common questions and notes. There is also a weekly report at the front which is jam-packed with details about each student.

### Personalised homework book

These books contain homework questions which are unique to each student based on their weaknesses or special requests. To learn more about the homework system at PLATO, click here.

### Answer books

At PLATO, we get you ready from as early as Year 6 to organise your mathematical arguments. In English, we learn how to organise text with paragraphs and sentences, and maths is no different! We teach students how to logically present their work, with our proven answer book system!

## What ouR PARENTS recieve

### Weekly reports

Our parents and studnets receive a weekly email report letting them know how their progress has changed, and which topics they are struggling with at the moment

### DIRECT COMMUNICATION

You can contact us directly by SMS or phone call, and speak to your child's tutor directly. No emails, no help desk! Just straight to the point communication!

### Our proven lesson breakdown

### 10 weekly lessons in the school term

## 15 min

###### Weekly quiz

**Weekly quiz on content from the previous week.**

## 30 min

###### Homework help

**We go through any homework related issues, and ensure all students are comfortable.**

## 135 min

###### Lesson

**We teach new material, developing theory, and slowing move up in difficulty until we are answering exam-style questions.**

# Maths years 11-12 details

- Year 11
- Year 12

### Year 11 Details

- 2U
- 3U

- Term 1
- Term 2
- Term 3
- Term 4

## week 1

#### Algebra

##### Algebra Review

## week 2

#### Algebra

##### Algebra Review

## week 3

#### Functions

##### Domain and Rangeâ€‹

## week 4

#### Functions

##### Function Vs Relation and Odd, Even, Neither functions

## week 5

#### Functions

##### Compound Functional Analysis

## week 6

#### Functions

##### Linear functions

## week 7

#### Functions

##### Linear FUNCTIONS

## week 8

#### Functions

##### Quadratics FUNCTIONS

## week 9

#### Functions

##### Cubic Functions

## week 10

#### Functions

##### Absolute Value Functions

*ALGEBRA REVIEWâ€‹*

*ALGEBRA REVIEWâ€‹*

*DOMAIN AND RANGEâ€‹*

*FUNCTION VS RELATION AND ODD, EVEN, NEITHER FUNCTIONSâ€‹*

*COMPOUND FUNCTIONAL ANALYSISâ€‹*

*LINEAR FUNCTIONSâ€‹â€‹*

*LINEAR FUNCTIONSâ€‹â€‹*

*QUADRATICSâ€‹ FUNCTIONS*

*CUBIC FUNCTIONSâ€‹*

*ABSOLUTE VALUE FUNCTIONSâ€‹*

## week 1

#### Functions

##### Circles

## week 2

#### Trigonometry

##### Basic trigonometry, the Sine rule, the Cosine rule, and the area rule

## week 3

#### Trigonometry

##### Angles of elevation and depression

## week 4

#### Trigonometry

##### 2D/3D Trigonometry

## week 5

#### Trigonometry

##### Radians

## week 6

#### Trigonometry

##### Trigonometric Identities

## week 7

#### Trigonometry

##### Sketching Trigonometric functions, simplyfing trigonometric equations (including those that reduce to quadratics)

## week 8

#### Introduction to Differentiation

##### Gradients of tangents

## week 9

#### Introduction to Differentiation

##### First principles

## week 10

#### Introduction to Differentiation

##### The Rules of Differentiation

*CIRCLESâ€‹*

*BASIC TRIGONOMETRY, THE SINE RULE, THE COSINE RULE, AND THE AREA RULEâ€‹*

*ANGLES OF ELEVATION AND DEPRESSIONâ€‹*

*2D/3D TRIGONOMETRYâ€‹*

*RADIANSâ€‹*

*TRIGONOMETRIC IDENTITIESâ€‹â€‹*

*SKETCHING TRIGONOMETRIC FUNCTIONS, SIMPLYFING TRIGONOMETRIC EQUATIONS (INCLUDING THOSE THAT REDUCE TO QUADRATICS)â€‹*

*GRADIENTS OF TANGENTSâ€‹â€‹*

*THE RULES OF DIFFERENTIATIONâ€‹*

## week 1

#### Introduction to Differentiation

##### Graphical applications of simple differention

## week 2

#### Introduction to Differentiation

##### Motion

## week 3

#### Logarithms and Exponentials

##### Introducing logarithms

## week 4

#### Logarithms and Exponentials

##### Exponentials

## week 5

#### Logarithms and Exponentials

##### Graphs and applications of exponential and logarithmic functions

## week 6

#### Probability

##### Simple probability and probability trees

## week 7

#### Revision 1

##### Trigonometric Identities and Proofs

## week 8

#### Practice Exam

##### Practice Exam

## week 9

#### Probability and Discrete Probability Distributions

##### Probability and Venn diagrams

## week 10

#### Probability and Discrete Probability Distributions

##### Mean and variance

*GRAPHICAL APPLICATIONS OF SIMPLE DIFFERENTIONâ€‹*

*MOTIONâ€‹*

*INTRODUCING LOGARITHMSâ€‹*

*EXPONENTIALSâ€‹*

*GRAPHS AND APPLICATIONS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONSâ€‹*

*SIMPLE PROBABILITY AND PROBABILITY TREESâ€‹*

*TRIGONOMETRIC IDENTITIES AND PROOFSâ€‹*

*PRACTICE EXAMâ€‹*

â€‹

*PROBABILITY AND VENN DIAGRAMSâ€‹*

*MEAN AND VARIANCEâ€‹*

## week 1

## week 2

## week 3

## week 4

## week 5

## week 6

## week 7

## week 8

## week 9

## week 10

- Term 1
- Term 2
- Term 3
- Term 4

## week 1

#### Graphs

##### Graphs 1

## week 2

#### Graphs

##### Graphs 2

## week 3

#### Functions

##### Polynomial Division

## week 4

#### Functions

##### Sums and products of roots of polynomials

## week 5

#### Functions

##### Investigating the multiplicity of a root of a polynomial

## week 6

#### Functions

##### Polynomial Graphing

## week 7

#### Rates of change

##### Particle motion

## week 8

#### Exponential and Logarithms

##### Differentiation of exponentials, and related problems

## week 9

#### Rates of change

##### Describe the rate of change of a physical quantity with respect to time as a derivative

## week 10

#### Rates of change

##### Solve problems involving situations that can be modelled using the exponential model or the modified exponential model and sketch graphs appropriate to such problems

*GRAPHS 1â€‹*

*GRAPHS 2*

*POLYNOMIAL DIVISIONâ€‹*

*SUMS AND PRODUCTS OF ROOTS OF POLYNOMIALSâ€‹*

*INVESTIGATING THE MULTIPLICITY OF A ROOT OF A POLYNOMIALâ€‹*

*POLYNOMIAL GRAPHINGâ€‹*

*PARTICLE MOTIONâ€‹*

*DIFFERENTIATION OF EXPONENTIALS, AND RELATED PROBLEMSâ€‹*

*DESCRIBE THE RATE OF CHANGE OF A PHYSICAL QUANTITY WITH RESPECT TO TIME AS A DERIVATIVEâ€‹*

*SOLVE PROBLEMS INVOLVING SITUATIONS THAT CAN BE MODELLED USING THE EXPONENTIAL MODEL OR THE MODIFIED EXPONENTIAL MODEL AND SKETCH GRAPHS APPROPRIATE TO SUCH PROBLEMSâ€‹*

## week 1

#### Probability and Statistics

##### Probability Revision

## week 2

#### Probability and Statistics

##### Conditional probability

## week 3

#### Probability and Statistics

##### Discrete probability distributions

## week 4

#### Permutations and Combinations

##### Working with CombinatoricsThe binomial expansion and Pascals triangle

## week 5

#### Permutations and Combinations

##### Factorial problems

## week 6

#### Exam

##### Practice Exam

## week 7

#### Polynomials

##### Review before rates of change, including their derivatSums of roots and multiple root theoremives

## week 8

#### Permutations and Combinations

##### Permutations and Combinations

## week 9

#### Calculus

##### Calculus 2U11

## week 10

#### Trigonometry

##### Trigonometric Functions

*PROBABILITY REVISIONâ€‹*

*CONDITIONAL PROBABILITYâ€‹*

*DISCRETE PROBABILITY DISTRIBUTIONSâ€‹*

*WORKING WITH COMBINATORICSTHE BINOMIAL EXPANSION AND PASCALS TRIANGLEâ€‹*

*FACTORIAL PROBLEMSâ€‹*

*PRACTICE EXAMâ€‹*

*REVIEW BEFORE RATES OF CHANGE, INCLUDING THEIR DERIVATSUMS OF ROOTS AND MULTIPLE ROOT THEOREMIVESâ€‹*

*REVIEW BEFORE RATES OF CHANGE, INCLUDING THEIR DERIVATSUMS OF ROOTS AND MULTIPLE ROOT THEOREMIVESâ€‹*

*CALCULUS 2U11â€‹*

*TRIGONOMETRIC FUNCTIONSâ€‹*

## week 1

#### Further work with functions

##### Inverse functions

## week 2

#### Trigonometry

##### Inverse Trigonometry (Equations)

## week 3

#### Trigonometry

##### Inverse Trigonometry (Graphs)

## week 4

#### Calculus

##### Rates of change with respect to time

## week 5

#### Calculus

##### Exponential growth and decay

## week 6

#### Calculus

##### Related rates of change

## week 7

#### Trigonometry

##### Compound Angles 1

## week 8

#### Trigonometry

##### Compound Angles 2

## week 9

#### Trigonometry

##### Solving trigonometric equations

## week 10

#### Higher differentiation

##### Understanding the first derivatie

*INVERSE FUNCTIONSâ€‹*

*INVERSE TRIGONOMETRY (EQUATIONS)â€‹*

*INVERSE TRIGONOMETRY (GRAPHS)â€‹â€‹*

*RATES OF CHANGE WITH RESPECT TO TIMEâ€‹*

*EXPONENTIAL GROWTH AND DECAYâ€‹*

*RELATED RATES OF CHANGEâ€‹*

*COMPOUND ANGLES 1â€‹*

*COMPOUND ANGLES 2*

*SOLVING TRIGONOMETRIC EQUATIONSâ€‹*

*UNDERSTANDING THE FIRST DERIVATIEâ€‹*

## week 1

#### Calculus

##### An Introduction to Calculus

## week 2

#### Calculus

##### Calculating with derivatives

## week 3

#### Functions

##### Further work with functions 1

## week 4

#### Functions

##### Further work with functions 2

## week 5

#### Trigonometric Functions

##### Trigonometric Functions and Identities

## week 6

#### Trigonometric Functions

##### Further Trigonometric Identities

## week 7

#### Functions

##### Inverse functions and Parametric Equations

## week 8

#### Trigonometric Functions

##### Inverse Trigonometric Functions (Graphs)

## week 9

#### Trigonometric Functions

##### Inverse Trigonometric Functions (Algebra)

## week 10

#### Exponential and Logarithmic Functions

##### Logarithms and Exponentials 1

*AN INTRODUCTION TO CALCULUSâ€‹â€‹*

*CALCULATING WITH DERIVATIVESâ€‹*

*FURTHER WORK WITH FUNCTIONS 1â€‹*

*FURTHER WORK WITH FUNCTIONS 2*

*TRIGONOMETRIC FUNCTIONS AND IDENTITIESâ€‹*

*FURTHER TRIGONOMETRIC IDENTITIESâ€‹*

*INVERSE FUNCTIONS AND PARAMETRIC EQUATIONSâ€‹*

*INVERSE TRIGONOMETRIC FUNCTIONS (GRAPHS)â€‹*

*INVERSE TRIGONOMETRIC FUNCTIONS (ALGEBRA)â€‹*

*LOGARITHMS AND EXPONENTIALS 1â€‹*

### Year 12 Details

- 2U
- 3U
- 4U

- Term 1
- Term 2
- Term 3
- Term 4