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 Range​

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

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

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


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

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

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

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

Year 12 Details

  • 2U
  • 3U
  • 4U
  • Term 1
  • Term 2
  • Term 3
  • Term 4

week 1

Integration

Further Areas Under the Curve

week 2

Functions

Graphing Techniques 1

week 3

Graphs

Graphing Techniques 2

week 4

Calculus

Particle Motion

week 5

Calculus

The graphs of particle motion

week 6

Trigonometry

Sketching trigonometric graphs

week 7

Trigonometry

Solving Trigonometric Equations

week 8

Logarithmic and Exponentials

Problem solving with exponentials and logarithms

week 9

Statistics

Understanding Frequency (empirical) probabilities

week 10

Statistics

Conditional Probabilities

week 11

Statistics

Discrete Probability Distributions