Math O level Equations and Graphs

Sec 4

Course Intro

A complete course from basics to advanced challenges in Equations and Graphs for Secondary 4 / O level students.

Course Description

This course is designed to provide a comprehensive understanding of equations and graphs, starting with the basics and building up to advanced challenges. Students will learn various types of equations, including linear, quadratic, and polynomial equations, and how to graph them. They will also learn how to solve systems of equations using different methods and understand the characteristics of quadratic equations. The course will also cover exponentials and logarithms, trigonometric functions, and advanced topics such as conic sections and polar coordinates. Throughout the course, students will engage in hands-on activities, such as solving problems and graphing equations, and use real-world data to apply their understanding of the concepts.

By the end of the course, students will have a strong grasp of equations and graphs and be able to tackle challenging problems with confidence.

Who is this Course for?

This course is for Secondary 4 / Secondary 5 / O level students who want to get deep insights into Equations and graphs.

What you will Learn?

  • Analyze and graph various types of equations.
  • Solve a wide range of equations, from linear to trigonometric.
  • Understand the geometric properties of quadratic equations.
  • Work with exponential and logarithmic functions confidently.
  • Apply mathematical concepts to real-world scenarios.
  • Tackle advanced mathematical topics like conic sections and polar coordinates.
  • Develop problem-solving skills through hands-on activities and problem-solving exercises.

Key Takeaways

  • Comprehensive understanding of various types of equations and their graphical representations.
  • Proficiency in solving linear, quadratic, and polynomial equations.
  • Ability to solve systems of equations using different methods.
  • In-depth knowledge of the characteristics of quadratic equations.
  • Mastery of exponential and logarithmic functions
  • Competence in working with trigonometric functions and solving trigonometric equations.
  • Familiarity with advanced topics like conic sections and polar coordinates.
  • Practical application of mathematical concepts using real-world data.

Why Learn from doerdo Tuition Course?

Experienced Teachers: Our ex-MOE educators are experts in Singapore’s curriculum.

Real-time Performance Tracking: Parents can monitor student progress with our performance analytics.

After-Class Support: Get help with homework and doubts from our dedicated teacher team.

AI-Based Testing: Practice with AI-powered tests tailored to your learning needs.

Engaging Homework: Reinforce your learning with interactive assignments.

Course Curriculum

Introduction to Equations and Graphs
  • Understanding the basics of equations and graphs
  • Types of equations: linear, quadratic, polynomial
  • Graphing techniques for different types of equations
Solving Equations
  • Solving linear equations
  • Quadratic formula and solving quadratic equations
  • Polynomial equations and their solutions
  • Systems of equations: methods for solving
Characteristics of Equations
  • Understanding the characteristics of quadratic equations
  • Factoring and completing the square
  • Discriminant and its role in solving quadratic equations
Exponentials and Logarithms
  • Introduction to exponential functions
  • Properties of logarithmic functions
  • Solving equations involving exponential and logarithmic functions
Trigonometric Functions
  • Introduction to trigonometric functions
  • Graphing trigonometric functions
  • Solving trigonometric equations
Advanced Topics
  • Conic sections: circles, ellipses, and hyperbolas
  • Polar coordinates and graphing in polar form
  • Using real-world data to apply mathematical concepts

Course Type


Class Type

Small Group

Group Size



1.5 hrs

Num of Sessions




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Young Wai Keong Vincent

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