LOWER SECONDARY MATH AND
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 indepth 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.
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COURSE OUTLINE
Sec 1 Math Course Outline

Find the HCF and LCM, squares, cubes, square roots, and cube roots by prime factorisation

Be familiar with negative numbers, integers, rational numbers, and their four operations

Use of approximation and estimation, including the use of a calculator

Solve problems involving ratio and proportion

Solve problems involving rate and speed, conversion of units

Evaluate algebraic expressions and formulae

Translation of realworld situations into algebraic expressions

Use of brackets, Addition, and subtraction of linear expressions

Understand the use of graphs of linear functions and gradient

Solve fractional equations and form linear equations

Identify right, acute, obtuse, and reflex angles

Corresponding angles, alternate angles, and interior angles

Construction of geometrical figures

Solve problems involving area and volume of figures

Analysis and interpretation of statistics using graphs and charts
Sec 2 Math Course Outline

Solve problems involving map scales, direct and inverse proportion

Expansion of algebraic expressions and usage of formulae

Explore quadratic functions and their properties

Appreciate the concept of equation and inequality

Solve simultaneous equations using substitution, elimination, and graphical method

Solve problems involving similar and congruent figures

The introduction of Pythagoras’ Theorem and usage of trigonometric ratios in rightangled triangles

Calculate the volume and surface area of pyramid, cone, and sphere

Analyze statistical diagrams, the advantages, and disadvantages of these representations

Calculation of mean, median, mode, and also the mean for grouped data

Calculate the probability of single events
Sec 3/4 E Math Course Outline

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

Be able to evaluate and translate realworld 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 realworld 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
Sec 3/4 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...