**KINDERGARTEN MATHS (K1-K3)**

An interactive and fun class for young students to build up their foundation in maths from where they can develop important skills for their future.

The Kindergarten Maths course is designed to introduce very young students to the daily encountering of mathematics in life such as concepts like size, width, patterns, days in a calendar, plane and solid figures, informal logical reasoning and picture graphs. These topics set their foundation in maths and will provide a strong preparation as they advance into primary maths. The strand-based curriculum used in the course emphasizes introductory material on sets, arithmetic, fractions, geometry, measurement, logic and statistics. Students learn through interactive fun games and activities specifically designed to give your child a head start in their academic life.

##### Sample topics covered:

- Comparing size, width, height
- Days and Calendar
- Simple Fractions
- Plane and Solid Figures
- Patterns
- Informal Logical Reasoning
- Additions and Subtractions
- Picture Graphs

**GIFTED MATHS (G1-G8) **

Building on the foundations learnt in kindergarten to progress your child’s knowledge and understanding of maths. Through varied and dynamic activities, your child will be able to grasp more complicated concepts and advance their confidence in maths.

Assessment test is required so that the student is assigned the proper level. Also an end of course exam is required with result of 80% and above to progress to next level.

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##### GIFTED MATH 1-2

The Gifted Maths 1- 2 course is designed to introduce very young students to the basic concepts and the logical foundations of arithmetic and the number system. The strand-based curriculum used in the course emphasizes elementary material on sets, arithmetic, fractions, geometry, statistics and measurement.

##### Sample topics covered:

- Counting
- Elementary Set Operations
- Addition and Subtraction
- Measurement: Time, Length, Money
- Multiplication
- Fractional Parts
- Shapes, Ways and Polygons

##### GIFTED MATH 3-4

The Gifted Maths 3 – 4 course is designed to give students a rigorous foundation in elementary mathematics. The strand-based curriculum used in the course emphasizes material on sets, arithmetic, fractions, geometry, statistics and measurement.

##### Sample topics covered:

- Elementary Set Operations
- Basic Axioms of Arithmetic
- Addition and Subtraction
- Integers
- Multiplication and Division
- Symmetry, Angles, and Polygons
- Systems of Measurement
- Arithmetic of Fractions

##### GIFTED MATH 5-6

The Gifted Maths 5 – 6 course is designed to give students a rigorous foundation in elementary mathematics. The strand-based curriculum used in the course emphasizes material on sets, arithmetic, fractions, geometry, statistics and measurement.

##### Sample topics covered:

- Multiplication and Division
- Introduction to Plane and Solid Geometry
- Sentential Logic and Sets
- Operations on Fractions and Mixed Numbers
- Decimal Arithmetic; Percentages
- Functions and Graphing
- Area and Volume
- Prime Numbers; Factors and Multiples
- Probability

##### GIFTED MATH 7-8

The Gifted Maths 7 – 8 course is designed to give students a rigorous foundation in elementary mathematics. The strand-based curriculum used in the course emphasizes material on sets, arithmetic, fractions, geometry, statistics and measurement.

##### Sample topics covered:

- Arithmetic of Fractions and Decimals
- The Coordinate System
- Solving Linear Equations
- GCFs and LCMs
- Surface Area and Volume
- Exponentiation
- Elementary Statistics
- Absolute Value
- Elementary Trigonometry
*Graphing *

**HONORS ALGEBRA **

Learn about the basic operations on polynomials and rational functions, solving linear and quadratic equations and inequalities as well as exponential and logarithmic equations. All taught in an easy to understand way.

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##### HONORS BEGINNING ALGEBRA

The Honors Beginning Algebra course covers what is generally covered in a first-year high school algebra course. Topics include the real number system, equations and inequalities, polynomials and exponents, factoring and applications, rational expressions, graphing linear equations, linear systems, roots and radicals and quadratic equations.

##### Sample topics covered:

- The Real Number System
- Solving Equations and Inequalities
- Polynomials and Exponents
- Factoring and Applications
- Rational Expressions
- Graphing Linear Equations
- Linear Systems
- Roots and Radicals
- Quadratic Equations

##### HONORS INTERMEDIATE ALGEBRA

The Honors Intermediate Algebra course covers what is generally covered in a second-year high school algebra course. Many topics from Honors Beginning Algebra are reviewed and covered in greater depth and will include the intermediate levels of linear equations and inequalities, exponents and polynomials, rational expressions, roots and radicals, quadratic equations and inequalities, the straight line, systems of linear equations, quadratic functions, inverse exponential and logarithmic functions, sequences and series.

##### Sample topics covered:

- The Real Numbers
- Linear Equations and Inequalities
- Exponents and Polynomials
- Rational Expressions
- Roots and Radicals
- Quadratic Equations and Inequalities
- The Straight Line
- Systems of Linear Equations
- Inverse, Exponential, and Logarithmic Functions
- Sequences and Series

##### HONORS PRE-CALCULUS

The Honors Pre-calculus course focuses on the study of functions. The course covers much of what is normally taught in high school trigonometry and analytic geometry courses. Topics include trigonometry, vectors and its operations, matrices and determinants and finding the complex roots of an equation. Completion of the course enables a student to begin study of AP calculus.

##### Sample topics covered:

- Fundamentals of Algebra
- Functions and Graphs
- Polynomials and Rational Functions
- Exponential and Logarithmic Functions
- Trigonometric Functions
- Analytic Trigonometry
- Applications of Trigonometry
- Systems of Equations and Inequalities using Matrices
- Further Topics in Algebra: Induction, Sequences and Series

**AP CALCULUS**

Calculus is a must for students who wish to pursue a career in mathematics or the physical sciences. The course covers everything from basic rules of differentiation and integration to the idea of polar and parametric curves.

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##### AP CALCULUS A

The Calculus A course covers much of what is generally covered in a first-quarter college calculus course. Together with Calculus B, this course prepares students to take the AB Calculus AP exam.

##### Sample topics covered:

- The Derivative as the Limit of the Difference Quotient
- Continuity and Differentiability
- Product Rule, Quotient Rule and Chain Rule
- Graphing
- Applied Maximum and Minimum Problems
- Intermediate Value and Mean Value Theorems
- Implicit and Higher-order Differentiation

##### AP CALCULUS B

The **Calculus B **course covers much of what is generally covered in a second-quarter college calculus course. Together with Calculus A, this course prepares students to take the AB Calculus AP exam.

##### Sample topics covered:

- Riemann Sums
- Integration by Substitution, including Partial Fractions
- Integration by Parts
- Area between Two Curves
- Volume of a Solid of Revolution
- Differential Equations
- L’Hôpital’s Rule

##### AP CALCULUS C

The **Calculus C **course covers much of what is generally covered in a third-quarter college calculus course. Together with Calculus B, this course prepares students to take the BC Calculus AP exam.

##### Sample topics covered:

- Improper Integrals
- Numerical Integration
- Arc Length and Area of a Surface of Revolution
- Polar Curves
- Convergence Tests for Series
- Maclaurin and Taylor Series
- Calculus of Vector-valued Functions

**PHYSICS**

The Physics courses prepare students for the AP physics exam. The AP physics exam consists of four papers. For those students who intend to pursue a quantitative field of study at university, we recommend the two papers that are calculus-based, i.e. AP Physics: Mechanics and AP Physics: Electricity and Magnetism.

Getting a high score in the AP physics exam is genuine proof that a student has the mathematical ability and readiness to succeed in a quantitative field of study at university.

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##### PHYSICS PART A (FIRST TERM)

##### Sample topics covered:

- Kinematics
- Projectile Motion
- Newton’s Laws of Motion and Gravitation
- Motion in a Horizontal Circle

##### PHYSICS PART A (SECOND TERM)

##### Sample topics covered:

- Work and Energy
- Motion in a Vertical Circle
- Impact of Elastic Bodies
- Simple Harmonic Motion

##### PHYSICS PART B (FIRST TERM)

##### Sample topics covered:

- Moments of Inertia of Two-dimensional Objects
- Moments of Inertia of Three-dimensional Objects
- Dynamics of Rigid Bodies
- Rotational Kinetic Energy and Angular Momentum

##### PHYSICS PART B (SECOND TERM)

##### Sample topics covered:

- Statics of a Particle
- Statics of Rigid Bodies
- Center of Gravity of Two-dimensional Objects
- Center of Gravity of Three-dimensional Objects

##### PHYSICS PART C (FIRST TERM)

##### Sample topics covered:

- Coulomb’s Law
- Electric Field and Electric Potential
- Cylindrical and Spherical Coordinates
- Electric Field of a Continuous Charge Distribution

##### PHYSICS PART C (SECOND TERM)

##### Sample topics covered:

- Biot-Savart Law
- Magnetic Field of a Current Distribution
- Maxwell’s Equations
- LRC Circuits and Dielectrics