top of page ## 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 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

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 real-world 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 right-angled triangles

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

• 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 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

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...

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