# Online Tutoring for Year 11 Mathematical Methods - VIC

## Year 11 Mathematical Methods

At CrunchGrade, you can find VCE Year 11 Mathematical Methods tutors for Units 1 and 2 and Units 3 and 4. We have the best Maths experts from Australia who are qualified to teach year 11 students the concepts of Mathematical Methods. We believe that to excel in a subject like Mathematical Methods students need a solid conceptual foundation and a lot of practice. Our online tutors have created adequate study materials to help students excel in this subject and practise a variety of problem-solving.

With our Year 11 Mathematical Methods online tutoring students can experience the change from

• Difficult concepts to comprehensive explanations
• Dull learning sessions to interactive online classes
• Rote learning to intuitive problem-solving and conceptual clarity
• Irregular studying to structured learning

## Practice Year 11 Mathematical Methods Units 1, 2, 3, 4 VIC Curriculum

Mathematical Methods in Year 11 comprises 4 units where each unit has its own significance when it comes to your overall performance in the subject. Units 1 and 2 form an introductory unit that helps form a solid foundation of topics like trigonometry, algebra, statistics, and probability. Units 3 and 4 extend that introductory learning to in-depth concepts and complex problem-solving. At CrunchGrade, our tutors provide complete guidance to every student in each of these units and ensure that all topics are clearly understood.

### Year 11 Mathematical Methods Unit 1 VCE Syllabus

Area of Study

Subtopics

Functions and Graphs

• Coordinate geometry
• Functions
• Vertical line test
• Graphs of power functions
• Graphs of polynomials
• Graphs of inverse functions

Algebra

• Representing functions, relations, equations and systems of simultaneous equations
• Simplification of algebraic expressions
• Transformations
• The connection between the roots of a polynomial function
• Solution of polynomial equations of low degree
• Solution of a set of simultaneous linear equations

Calculus

• Rates of change
• Interpretation of graphs of rates of change
• Use of gradient of a tangent at a point on the graph

Probability and Statistics

• Random experiments, sample spaces, outcomes, elementary and compound events
• Probability of elementary and compound event
• Simulation using simple random generators
• Conditional probability in terms of reduced sample space
• Law of total probability for two events

### Year 11 Mathematical Methods Unit 2 VCE Syllabus

Area of Study

Subtopics

Functions and Graphs

• Trigonometry
• Conversion between radian and degree measures of angle
• Applications of sine and cosine functions
• Exponential functions

Algebra

• Uses of inverse functions and transformations
• Approximation of roots of cubic polynomial functions using Newton’s method
• Laws of exponents
• Laws of logarithms

Calculus

• Approximating the value of the gradient function
• Derivatives
• Applications of derivatives
• Use of boundary condition
• Anti-differentiation

Probability and Statistics

• Combinations and counting principles

### Year 11 Mathematical Methods Unit 2 VCE Syllabus

Area of Study

Subtopics

Functions and Graphs

• Trigonometry
• Conversion between radian and degree measures of angle
• Applications of sine and cosine functions
• Exponential functions

Algebra

• Uses of inverse functions and transformations
• Approximation of roots of cubic polynomial functions using Newton’s method
• Laws of exponents
• Laws of logarithms

Calculus

• Approximating the value of the gradient function
• Derivatives
• Applications of derivatives
• Use of boundary condition
• Anti-differentiation

Probability and Statistics

• Combinations and counting principles

### Year 12 Mathematical Methods Units 3 and 4 VCE Syllabus

Area of Study

Subtopics

Functions and Graphs

• Power functions, exponential functions and circular functions and their graphs
• Graphs of polynomial functions
• Graphs of sum, difference, product and composite functions

Algebra

• Composition of functions
• Inverse of functions
• Solution of literal equations and general solution of equations involving a single parameter
• Solution of simple systems of simultaneous linear equations

Calculus

• Graph of the derivative function
• Anti-derivatives of polynomial functions
• Fundamental theorem of calculus
• Properties of antiderivatives and definite integrals

Probability and Statistics

• Random variables
• Discrete random variables
• Bernoulli trials and the binomial distribution
• Continuous random variables
• Distribution of sample proportions, simulations and confidence intervals

*This is a general list of topics. You can discuss the detailed study plan with your tutor and define the set of topics you want to cover in the tuition. The above information has been taken from the VCE Mathematics 2016–2022 Study Design by VCAA (Victorian Curriculum and Assessment Authority).

## New Things Year 11 Mathematical Methods VIC Students Will Learn

Students undertaking Year 11 Mathematical Methods are expected to have a sound background in numbers, algebra, functions, geometry, probability and statistics. So, you must have studied Mathematics in Year 10. Year 11 Mathematical Methods will introduce you to many new concepts. For instance, you will learn inverse functions, draw graphs of circular functions and solve a system of simultaneous linear equations. In Calculus, you will study the concept of antiderivatives and anti-differentiation. Probability and Statistics introduce you to concepts of Bernoulli trials, random variables, continuous random variables and discrete random variables.

## Overcome Your Learning Challenges With Year 11 Mathematical Methods Tutors

Some Year 11 Mathematical Methods topics that students find difficult to deal with are calculus and probability. In probability and statistics topics, you have to apply almost every concept that you have studied so far. So be careful while you study continuous random variables, discrete random variables, and Bernoulli distribution topics. While integration is rather a simple concept, many students panic because it is something new to them. At CrunchGrade, our tutors for Year 11 Mathematical Methods will teach you how to deal with difficult topics. They will be providing your revision notes, formula sheets, practise problems and many other learning resources to make this subject familiar to you.

With our Year 11 Mathematical Methods online tutoring, students will be able to achieve the following:

• The students will explore the behaviour of functions and their graphs along with a graphical representation of various algebraic functions.
• The students will be able to solve questions related to the algebra of polynomial functions of low degree and transformations of the plane.
• The students will be able to solve problems related to rates of change.
• The students will master concepts of event, frequency, probability and representation of finite sample spaces and events using various forms such as lists, grids, Venn diagrams, Karnaugh maps, tables and tree diagrams.
• Students will be able to solve problems related to transformations of the plane and much more!

## Important Topics in Year 11 Mathematical Methods

If you are aiming for a 40+ raw score in VCE Year 11 Mathematical Methods, you must study all the units carefully. This means solving at least 90% of the exercise questions and going through every example given in the Year 11 Mathematical Methods textbook. Topics of probability are quite important in this course and can help you in advanced studies as well. You must also study graphs properly and practise how to create graphs of various functions. Make sure to always label axes, intercepts, asymptotes, endpoints, cusps and other key features of a graph.

## A Few More Tips to Score Raw 50 in Year 11 Mathematical Methods

CrunchGrade Year 11 Mathematical Methods online tutors advise students to follow these tips if they want to score maximum marks in this course:

#1 Study Ahead: It is always better to prepare a topic in advance. For instance, if your teacher will be starting with logarithmic functions tomorrow, study it with your tutor today and ensure that you know the basics at least. This way you will be able to understand the topic much better.

#2 Participate in class: Be an active participant in the online tuition so that you can easily vent out your doubts and confusion. This will make concepts much easier for you to understand and you will be able to answer in school confidently.

#3 Take motivation from mistakes: If you want to get a raw 50 in Year 11 Maths methods, do not leave your mistakes as it is. Learn from them. CrunchGrade tutors will be providing feedback to you so that you can improve your performance.