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 Details
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 : 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 : 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 : TRIGONOMETRY : GRADIENTS OF TANGENTS
WEEK 10 : TRIGONOMETRY : 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 : INTRODUCTION TO DIFFERENTIATION : GRAPHICAL APPLICATIONS OF SIMPLE DIFFERENTION
WEEK 2 : LOGARITHMS AND EXPONENTIALS : 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
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 : 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 : 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 : POLYNOMIALS : REVIEW BEFORE RATES OF CHANGE, INCLUDING THEIR DERIVATSUMS OF ROOTS AND MULTIPLE ROOT THEOREMIVES
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 : 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
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
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
week 12
Descriptive Statistics and Bivariate Data Analysis
Data (grouped and ungrouped) and summary statistics
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
WEEK 12 : DESCRIPTIVE STATISTICS AND BIVARIATE DATA ANALYSIS : DATA (GROUPED AND UNGROUPED) AND SUMMARY STATISTICS
week 1
Descriptive Statistics and Bivariate Data Analysis
Bivariate Data Analysis
week 2
Revision 1
Integration of Trigonometric Functions, and Area under the curve
week 3
Revision 2
Applications of the second derivative
week 4
Revision 3
Prove trigonometric identities
week 5
Statistics
Continuous Random Variables
week 6
Statistics
The Normal Distribution
week 7
Exam
Practice Trial Exam
week 8
Sequences and Series
Review of AP and GP
week 9
Sequences and Series
Financial Mathematics 1 (Compound Interest)
week 10
Sequences and Series
Financial Mathematics 2 (Annuities)
week 11
Sequences and Series
Financial Mathematics 3 (Reducing balance)
week 12
Trigonometry
Solve problems involving the use of trigonometry in two and three dimensions
WEEK 1 : DESCRIPTIVE STATISTICS AND BIVARIATE DATA ANALYSIS : BIVARIATE DATA ANALYSIS
WEEK 2 : REVISION 1 : INTEGRATION OF TRIGONOMETRIC FUNCTIONS, AND AREA UNDER THE CURVE
WEEK 3 : REVISION 2 : APPLICATIONS OF THE SECOND DERIVATIVE
WEEK 4 : REVISION 3 : PROVE TRIGONOMETRIC IDENTITIES
WEEK 5 : STATISTICS : CONTINUOUS RANDOM VARIABLES
WEEK 6 : STATISTICS : THE NORMAL DISTRIBUTION
WEEK 7 : EXAM : PRACTICE TRIAL EXAM
WEEK 8 : SEQUENCES AND SERIES : REVIEW OF AP AND GP
WEEK 9 : SEQUENCES AND SERIES : FINANCIAL MATHEMATICS 1 (COMPOUND INTEREST)
WEEK 10 : SEQUENCES AND SERIES : FINANCIAL MATHEMATICS 2 (ANNUITIES)
WEEK 11 : SEQUENCES AND SERIES : FINANCIAL MATHEMATICS 3 (REDUCING BALANCE)
WEEK 12 : TRIGONOMETRY : SOLVE PROBLEMS INVOLVING THE USE OF TRIGONOMETRY IN TWO AND THREE DIMENSIONS
week 1
Graphs
Revision of graphing techniques
week 2
Exam
Practice Trial Exam
week 3
Financial Mathematics
Surprise! 😀
week 4
Revision
Linear functions and discrete probability revision
week 5
Class requested revision
Applications of exponentials
week 6
Class requested revision
Trigonometric Functions and Graphs
week 7
Calculus
Optimisation Problems
week 8
Class requested revision
Domain/Range, PDF/CDF, Probability
week 9
Revision
Harder bearings and z-score
week 10
Exam
Practice Trial Exam
week 11
Exam
Practice Trial Exam
week 12
Exam
Practice Trial Exam
WEEK 1 : GRAPHS : REVISION OF GRAPHING TECHNIQUES
WEEK 2 : EXAM : PRACTICE TRIAL EXAM
WEEK 3 : FINANCIAL MATHEMATICS : SURPRISE! :-D
WEEK 4 : REVISION : LINEAR FUNCTIONS AND DISCRETE PROBABILITY REVISION
WEEK 5 : CLASS REQUESTED REVISION : APPLICATIONS OF EXPONENTIALS
WEEK 6 : CLASS REQUESTED REVISION : TRIGONOMETRIC FUNCTIONS AND GRAPHS
WEEK 7 : CALCULUS : OPTIMISATION PROBLEMS
WEEK 8 : CLASS REQUESTED REVISION : DOMAIN/RANGE, PDF/CDF, PROBABILITY
WEEK 9 : REVISION : HARDER BEARINGS AND Z-SCORE
WEEK 10 : EXAM : PRACTICE TRIAL EXAM
WEEK 11 : EXAM : PRACTICE TRIAL EXAM
WEEK 12 : EXAM : PRACTICE TRIAL EXAM
week 1
Sequences and Series
Arithmetic Series
week 2
Sequences and Series
Geometric Series
week 3
Sequences and Series
Financial Applications 1
week 4
Sequences and Series
Financial Applications 2
week 5
Calculus
Rules of Differentiation
week 6
Calculus
Understanding the first derivative
week 7
Calculus
Understanding the second derivative
week 8
Calculus
Optimisation Problems
week 9
Calculus
Rules of Integral Calculus
week 10
Calculus
The Trapezoidal Rule and similar problems
week 11
Calculus
Definite Integrals
week 12
Exam
Practice Trial Exam
WEEK 1 : SEQUENCES AND SERIES : ARITHMETIC SERIES
WEEK 2 : SEQUENCES AND SERIES : GEOMETRIC SERIES
WEEK 3 : SEQUENCES AND SERIES : FINANCIAL APPLICATIONS 1
WEEK 4 : SEQUENCES AND SERIES : FINANCIAL APPLICATIONS 2
WEEK 5 : CALCULUS : RULES OF DIFFERENTIATION
WEEK 6 : CALCULUS : UNDERSTANDING THE FIRST DERIVATIVE
WEEK 7 : CALCULUS : UNDERSTANDING THE SECOND DERIVATIVE
WEEK 8 : CALCULUS : OPTIMISATION PROBLEMS
WEEK 9 : CALCULUS : RULES OF INTEGRAL CALCULUS
WEEK 10 : CALCULUS : THE TRAPEZOIDAL RULE AND SIMILAR PROBLEMS
WEEK 11 : CALCULUS : DEFINITE INTEGRALS
WEEK 12 : EXAM : PRACTICE TRIAL EXAM
week 1
Calculus
Area between curves
week 2
Calculus
ODEs 1
week 3
Calculus
Solving ODEs
week 4
Calculus
Solving ODEs using the separation of variables
week 5
Calculus
Sketch ODEs
week 6
Calculus
Applications of ODEs to the real world
week 7
Projectile Motion
Understand the concept of a projectile
week 8
Projectile Motion
Apply calculus to the equations of motion to solve problems involving projectiles
week 9
Statistics
Discrete Probability Distributions
week 10
Projectile Motion
Projectile 1
week 11
Polynomials
Polynomial Revision 1
week 12
Exam
Practice Trial
WEEK 1 : CALCULUS : AREA BETWEEN CURVES
WEEK 2 : CALCULUS : ODES 1
WEEK 3 : CALCULUS : SOLVING ODES
WEEK 4 : CALCULUS : SOLVING ODES USING THE SEPARATION OF VARIABLES
WEEK 5 : CALCULUS : SKETCH ODES
WEEK 6 : CALCULUS : APPLICATIONS OF ODES TO THE REAL WORLD