02/02/2021
Mr. Wei Wang is one of Top Scope College's most experienced VCE Maths teachers, with 17 years of experience teaching Year 12 VCE Maths. During that time, he taught at Melbourne Grammar School for seven years. Mr. Wang now works at a top private girls' school in Victoria, focusing on Year 12 Specialist Maths and Mathematical Methods. Throughout his time as a teacher, he has been awarded the highest level of respect and recognition by his students. One student remarks: "Mr. Wang is a very knowledgeable man - he is my hero. His insight into the world of mathematics is truly profound, and he will be a globally significant mathematical figure in years to come." Another common appraisal: "He is an absolute legend!" Amongst the students at some of Victoria's most elite private schools, there is a mutual agreement that Mr. Wang is an exceptional VCE Maths teacher. Let us explore how Mr. Wang goes about teaching VCE Mathematical Methods.
Mathematical Methods comprises a lot of foundational mathematical knowledge and concepts. Some of these concepts include algebra, numerical operations, probability, statistics, and the application of these concepts. If a student wishes to study science, commerce, engineering, economics or medicine at university, then Mathematical Methods is a required subject. Many students who have received an education in China will choose to study Mathematical Methods as one of their VCE Subjects. Not only are they likely to score highly, but it also broadens the scope for what they can study at university. So how should one go about learning Mathematical Methods?
Firstly, it's important to lay a good foundation by mastering the knowledge points in Units 1&2:
• Functions and Graphs: function notation, interpretation of key features of graphs of functions, transformations and inverse functions, polynomial, circular, exponential and logarithmic functions
• Algebra: roots, factorisation, solving quadratic, cubic and trigonometric equations, index and logarithmic
• Calculus: derivative as gradient, differentiating by rule and from first principles, rates of change, maximum and minimum, anti-differentiation, motion graphs
• Probability and Statistics: independence, mutually exclusive events, addition rule, multiplication rule, conditional probability
During Year 12, the Units 3&4 topics students will need to master are:
• Functions and Graphs: polynomials, logarithmic and exponentials, reflections, translations and dilations, inverse functions, circular functions, modelling using these functions, sum, difference, product of composite functions.
• Algebra: Factorisation, logarithm laws, solution of logarithmic and exponential equations, one-to-one and inverse functions, solutions to trigonometric equations
• Calculus: Differentiation and antidifferentiation, product, quotient and chain rule, application of differentiation, areas under curves, estimation of stationary points and gradients.
• Probability and Statistics: Discrete, probability density functions, Bernoulli trials and binomial distribution, normal distribution. Statistical inference, distribution of sample proportions, simulations and confidence intervals.
Throughout the teaching process for Mathematical Methods, our goals at Top Scope are:
• To use clear mathematical concepts and skills to help students solve problems. Even is the topic may seem unfamiliar to the student, they can use the knowledge they have mastered to find a path to the solution.
• To consolidate students' mastery of language, conventions and symbols related to mathematics.
• To teach students how to interpret and combine figures, tables and block diagrams
• To familiarise students with calculator-based processes, such as linear modelling, statistical analysis, etc.
In addition to Mr. Wang's expertise in the classroom, outside of the classroom there also high-achieving VCE graduates to help students answer questions, solve problems, complete homework and prepare for SACs. All of our VCE students also have access to the study room at our Box Hill campus. If students encounter any problems whilst studying on their own, they can seek help from the teachers and tutors who are on campus at the time.
For interested students, please visit our school's official website: www.topscope.com.au. Alternatively, you can call the VCE office at (03) 9808 9999 or email us at [email protected]. We hope to see you join Mr. Wang's VCE Mathematical Methods class!
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