A-Levels Math Masterclass (H1/H2)

H2 Math Masterclass

UPDATE

Thank you for the overwhelming support! Unfortunately, our A-Levels Math Masterclass has now been fully booked. If you’re still keen, individual coaching is still available leading up to the A-Levels. Fill up the form below and our friend A-Level course manager will be in touch with the next steps.

JC2 Intensive A-Level Math Crash Course & Revision

Leading up to the A-Levels, Prep Zone Academy will be conducting weekly Math masterclasses to get JC2 students ready for the exam in November. Curated specially for JC2 students, the A-Levels Math Masterclass serves as a crash course and revision to fully prepare our students for the A-Levels.

*H1 Math students are welcomed to join us as well, especially for Statistics! 

What can you expect from the class?

Classes are 3-hour long. Modular in nature, 1-2 topics will be covered in each class. The syllabus has been broken down into 10 weekly classes leading up to the exam.

The first hour will be allocated for revising the topic(s), using specially curated quality notes. These notes are comprehensive & concise, summarising the key concepts that will help students to ace the exam.

The next two hours will be spent on past exam questions. Adapting a flipped classroom concept, students are to attempt the exam questions given beforehand, which will be gone through in class. Students will be provided the fully worked solutions.
The questions have been selected to reflect the trend of questions in recent years. Students are expected to complete them before the class.

Small Class Size (maximum 10)

Exam-Focused Approach

Curated Notes & Questions

Top Math Trainer - Ms Jess

  • Graduated from the National University of Singapore (NUS) with a double (honors) degree in Law and Economics
  • Top student of National Junior College (NJC), having been awarded multiple prestigious awards such as the NJC Student of the Year Award, the NJC All-Round Excellence Award, and the Singapore Police Force Book Prize
  • Extensive years of teaching experience (> 7 years)

Lesson Plan

Week NumberDateTopic
14 September 2021 (Saturday)
9am - 12pm
Functions
Equations and Inequalities
Graphs and Transformations (1)
211 September 2021 (Saturday)
9am - 12pm
Graphs and Transformations (2)
Sequences and Series
318 September 2021 (Saturday)
9am - 12pm
Vectors
425 September 2021 (Saturday)
9am - 12pm
Complex Numbers
52 October 2021 (Saturday)
9am - 12pm
Differentiation
69 October 2021 (Saturday)
9am - 12pm
Integration
716 October 2021 (Saturday)
9am - 12pm
Probability
Discrete Random Variables
Binomial Distribution
823 October 2021 (Saturday)
9am - 12pm
Normal Distribution
Sampling
Hypothesis Testing
930 October 2021 (Saturday)
9am - 12pm
Exam Revision and Skills
106 November 2021 (Saturday)
9am - 12pm
Exam Revision and Skills

Assessment 2021

Mathematics is a basic and important discipline that contributes to the developments and understandings of sciences and other disciplines. It is used by scientists, engineers, business analysts and psychologists, etc. to model, understand and solve problems in their respective fields. A good foundation in mathematics and the ability to reason mathematically are therefore essential for students to be successful in their pursuit of various disciplines.

H2 Mathematics

Paper 1

9 November 2021
8am – 11am

Paper 2

12 November 2021
8am – 11am

H1 Mathematics

Paper 1

9 November 2021
8am – 11am

Content

Pure Mathematics
TopicH2 MathematicsH1 Mathematics
1. Functions- Domain, Range
- Composite, Inverse Functions
- Exponential and Logarithms
2. Graphs and Transformations- Transformations of functions
- Circles, Ellipses, Conic Sections
- Rational Functions
- Modulus
- Parametric Equations
- Graphing Techniques
3.Equations and Inequalities- System of linear equations
- Inequalities with rational functions
- Quadratic equations
- Discriminant
- Linear and non-linear simultaneous equations
4.Sequences and Series- Arithmetic Progression
- Geometric Progression
- Method of Differences
NA
5.Vectors- Vectors in 2D
- Vectors in 3D
o Lines
o Planes
NA
6.Complex Numbers- Conjugate roots
- Cartesian, Polar and Trigonometric form
- Complex roots of polynomials
NA
7.Differentiation- Implicit Differentiation
- Applications of differentiation
- Parametric Differentiation
- Maclaurin’s Series
- Related rates of change
- Chain Rule
- Applications of differentiation
- Tangents and normal
- Related rates of change
8.Integration- Definite integrals and limit of sums
- Integration techniques
o Substitution
o Trigonometric substitution
o Partial Fractions
o Integration by parts
- Areas and Volumes
- Parametric Integration
- Differential Equations
- Integration of simple functions
- Areas

Probability and Statistics
TopicH2 MathematicsH1 Mathematics
9.Probability- Permutations and Combinations
- Addition and Multiplication of probabilities
- Conditional probabilities
- Mutually exclusive and independent events
- Venn diagrams, Tree diagrams
- Permutations and Combinations
- Addition and Multiplication of probabilities
- Conditional probabilities
- Mutually exclusive and independent events
- Venn diagrams, Tree diagrams
10.Discrete Random Variables- Discrete probability distributions
- Calculation of expectation and variance
- Binomial Distribution
- Use of binomial expansion for positive integer powers
- Use of binomial distribution
11.Normal Distribution- Finding probabilities with normal distribution
- Use of expectation and variance
- Finding probabilities with normal distribution
- Use of expectation and variance
12.Sampling- Distribution of sampling mean from normal population
- Central Limit Theorem
- Unbiased estimates of mean and variance
- Distribution of sampling mean from normal population
- Central Limit Theorem
- Unbiased estimates of mean and variance
13.Hypothesis Testing- Null and alternative hypothesis
- Test-statistics, p-value, critical region, significance level
- One tail and two tail tests
- Null and alternative hypothesis
- Test-statistics, p-value, critical region, significance level
- One tail and two tail tests
14.Correlation and Regression
(taken out in 2021 due to Covid)
- Scatter diagrams
- Correlation coefficient
- Liner regression of y~x and x~y
- Linearizing data
- Interpolation and extrapolation
- Scatter diagrams
- Correlation coefficient
- Liner regression of y~x and x~y
- Interpolation and extrapolation

Register for A-Levels Math Masterclass (H1/H2)

Thank you for the overwhelming support! Unfortunately, our A-Levels Math Masterclass has now been fully booked. If you’re still keen, individual coaching is still available leading up to the A-Levels. Fill up the form below and our friend A-Level course manager will be in touch with the next steps.

For further inquiries, contact us at +65 6812 9999.

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