 ## UPPER SECONDARY E MATH / A MATH

The mastery of the subject requires students to develop critical thinking, reasoning, and metacognitive skills to solve mathematical problems. Many find it hard to apply mathematical concepts to the same questions presented differently, which may be due to the lack of in-depth understanding of the various concepts. This will greatly deflate the student's confidence in the subject and reduce the most important aspect of the subject - Practice

At Zenith, we strongly believe in nurturing students to see the immediate relevance of what they learn effectively by curating a set of examples to guide students on the application of appropriate methods when it comes to solving those questions.

## COURSE OUTLINE

E Math Course Outline

• Comprehensive analysis of topics - Numbers & Operations, Ratio & Proportion, Percentage, Rate & Speed

• Be able to evaluate and translate real-world situation into Algebraic Expressions and Formulae

• Sketch graph of Quadratic Equations, Power & Exponential Functions while estimating the gradient of a curve by drawing a tangent

• Solve Simultaneous Linear & Quadratic Equations, in addition to representing them on the number line

• Become competent to use Set Language and its Notations

• Display information in the form of a Matrix & calculate the sum & product of 2 matrices

• Solve problems based on real-world contexts (Simple / Compound Interests, Taxation, Instalments, Utility Bills, Money Exchanges etc.)

• Construct Angle and Perpendicular Bisectors

• Find the angle sum of interior & exterior angles of any convex polygon

• Be familiar with the topics - Congruence and Similarity, Properties of Circles, Pythagoras Theorem, & Trigonometry

• Find the area and volume of composite plane figures/solids, with problems also involving arc length, sector area and area of segments of a circle

• Find the Magnitude of Vectors, Multiplication of a vector by a scalar & geometric problems involving the use of vectors

A Math Course Outline

• Detailed analysis of topics - Equation & Inequalities, Indices & Surds, Polynomials & Partial Fractions & Bionomial Expansions

• Solve equations involving Exponential, Logarithmic & Modulus Functions

• Learn how to Simplify and Proof Trigonometric Identities in addition to learning about trigonometric graphs

• Understand the Coordinate Geometry of Straight Lines, Parabolas & Circles

• Think out of the box by using proofs in plane geometry such as Midpoint Theorem, Congruency & Similarity

• Be able to apply Differentiation and Integration to find increasing or decreasing functions, stationary points and be able to apply the second derivative test to discriminate between maxima and minima

and more...