Lower Secondary Math Tuition

Lower Secondary Math Tuition at APM Tuition is unique and powerful with curriculums specially designed to improve students’ academic performance in Math based on examination trends. The programs focus on developing a strong understanding of crucial mathematical concepts through deep learning and problem-solving techniques. On top of that, students are exposed to real-world problems that allow them to connect Math with real-world applications.

With a small class size of 6 (max 8), we ensure that every student receives our dedicated attention during the Math lesson. We champion consistency and active learning in students, equipping them with the skills and wits to carve out their edge in Math and eventually Ace the examination.

Our lessons are customized to cater to different students’ needs. Students will receive tutorials aligned with their school syllabus to ensure a complete reinforcement of concepts and ample practice. Our notes, tutorials, and practice papers are constantly updated with current questions to ensure students are equipped with the necessary skills and knowledge. Each set of notes and tutorials helps students develop fundamental techniques to solve routine questions, apply complex concepts and hone critical reasoning skills for tackling nonroutine problems that include real-world contexts.

Practice tests and mock practice papers that mirror actual examination conditions help give students the practice and confidence needed to ace their examinations. Revision packages are provided to help students consolidate their knowledge, review the typical questions for each topic and gain awareness to avoid and correct common mistakes through error analysis practices.

Secondary 1 Math

In Secondary 1, students will learn new topics such as Primes, Highest Common Factor and Lowest Common Multiple, Approximation and Estimation, Basic Algebra and Algebraic Manipulation, Linear Equations and Simple Inequalities, Functions and Linear Graphs, and Polygons. The topics taught in primary school will be covered in greater depth while students master new and more complex concepts.

Secondary 2 Math

In Secondary 2, students will learn new topics such as Expansion and Factorization of Quadratic Expressions, Quadratic Equations and Graphs, Algebraic Fractions, Linear Simultaneous Equations, Direct and Inverse Proportions, Maps and Scales, Congruency and Similarity, Probability and Trigonometric Ratios. Additionally, the topics taught previously in Secondary 1 will be expanded on. For example, the topic on Volume and Surface Area will include new content such as cones, pyramids, and spheres.

Lower Secondary Math Tuition Curriculum

Numbers

Real numbers
Integers
Rational & irrational numbers
Number lines
Factors & multiples
Number sequences
Approximation & estimation
Rate, ratio & speed
Percentages
Direct & inverse proportions
Maps & scales
Indices*

Algebra

Algebraic expansion, factorization & manipulation
Linear equations
Linear inequalities
Functions & graphs
Algebraic expansion, factorization & manipulation
Subject of formulae
Algebraic fractions
Quadratic factorization
Quadratic equations
Quadratic graphs & its applications
Linear simultaneous equations

Statistics

Statistical diagrams
Measures of central tendency
Mean, mode & median
Data analysis

Geometry & Trigonometry

Basic geometrical concepts & properties
Angle properties of polygons
Geometrical constructions
Pythagoras’ Theorem*
Mensuration
Pythagoras’ Theorem
Congruence & Similarity
Proof of Congruency & Similarity
Area & volume of similar figures & solids*
Trigonometric ratios
Further Trigonometry*
- Sine Rule
- Cosine Rule

Note: *denotes IP components covered in the Integrated Mathematics programme

Lower Secondary Math Tuition Highlights

Content Mastery

Learn about the classification of numbers based on number properties, and find the highest common factor and lowest common multiple of numbers using prime factorisation
Explore the concept of variables and learn how the relationship between two variables can be represented in algebraic, tabular and graphical forms
Use real-life contexts, including travel plans, transport schedules, recipes and see how they apply to the syllabus
Learn terminologies related to personal and household finance, such as interests, instalments, utilities bills, and exchange rates
Learn more complex algebraic concepts such as cross factorisation
Learn about the properties of similar and congruent figures and how congruency and similarity can be applied in real-world contexts
Discover how the sides of a right-angled triangle are connected by the trigonometric ratios.
Be able to incorporate algebra in trigonometry to find unknown sides and angles of a right-angled triangle
Gain familiarity with the formulae for the volume and surface area of a sphere, a cone, and a pyramid
Use experiential activities to remember the formulae and full derivations of the formulae
Discover statistical diagrams, such as dot diagrams, stem-and-leaf diagrams, and cumulative frequency curves
Investigate and discover how the concept of probability can be used in everyday events, including weather forecast and the performance of stocks in the stock market

Skills and Techniques

Learn to use algebra and other symbols to represent and convey mathematical ideas
Master the application of algebraic equations to a variety of problems, and solve problems using a systematic and logical approach
Acquire basic manipulative skills, such as Rounding Off, Arithmetic and Algebraic Manipulation and Data Handling
Learn to plot, draw and interpret line graphs and parabolic graphs
Analyse and interpret the different forms of statistical diagrams using mean, mode, and median
Master analysing problems and explore alternative ways of solving them, developing metacognitive skills

Revision and Reinforcement

Focus on revising concepts and clarifying any existing misconceptions
Learn to identify and avoid common pitfalls to prevent loss of marks in the exams
Hone time management skills with multiple mock examination papers under exam conditions
Get a systemic, topical-based revision of all topics, including common and challenging questions