Learn Number and Algebra (Part 3) the Singapore Way

Learn with Mr Timothy Gan, one of the top Math tutors in Singapore | Singapore O Level Mathematics Syllabus

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Description

Learn Number and Algebra (Part 3) the Singapore Way!


Let us structure the learning for you! Our Math learning content is designed by curriculum specialists and former Singapore Ministry of Education (MOE) Mathematics teachers with years of experience teaching Maths in our local secondary schools. The structure of the lessons is based on the Singapore GCE O Level 4048 Mathematics Syllabus (2021).

Our Course Learning Design

To help you/your child fully grasp mathematical concepts, we designed our course in the following way:

  1. Conceptual Bridging section is where we would explain how some important concepts are being deduced or derived. We will strongly encourage you not to skip it in order to understand certain core concepts.

  2. Worked Examples are questions during which we will slowly unpack and apply what you have learnt. Usually, we will guide students through by assuming that students have zero understanding of the topic before approaching the questions.

  3. Exercises are extra practice questions to further sharpen and test your understanding. Some questions here are HOT (Higher-Order-Thinking) questions.

  4. Essential Steps consist of tips and tricks or guides to help you to tackle a question.

  5. Practice Questions are extra Mathematics problems for you to practice on the topics that you have learnt. We encourage you to download the Practice worksheets first and attempt and complete them before watching the video solutions so as to maximise the benefit of the practice questions.

Each section comes with lesson notes that you have to download to refer to before starting your lessons. For this course, the following 2 units are included (with 19 sections):

Unit 6 Functions and Graphs

1. Cartesian Coordinates in Two Dimensions

2. Graphs of a set of ordered pairs as a representation of a relationship between two variables

3. Linear Functions

4. Graphs of Linear Functions

5. Gradient of a Linear Graph

6. Plotting of Straight Line on Graph Paper

7. Graphs of Quadratic Functions and Their Properties

8. Sketching the Graphs of Quadratic Functions

9. Graphs of Power Functions

10. Graphs of Exponential Functions

11. Practice (Graphs of Power Functions and Exponential Functions)

12. Estimation of the Gradient of a Curve by Drawing a Tangent

Unit 7 Equations and Inequalities

13. Solving Simultaneous Linear Equations in Two Variables by Graphical, Elimination and Substitution Method

14. Practice (Simultaneous Equations)

15. Solving Equations involving Algebraic Fractions

16. Solving Quadratic Equations in One Unknown by Factorisation, Completing The Square, Formula and Graphical method

17. Solving Simple Fractional Equations that can be reduced to Quadratic Equations

18. Formulating Equations to Solve Problems

19. Solving Linear Inequalities in One Variable, and Representing the Solution on the Number Line

What You Will Learn!

  • Number and Algebra 3 (sub-topics N6 and N7 based on Singapore GCE O Level Mathematics Syllabus [4048] 2021)
  • Functions and Graphs: Cartesian coordinates in two dimensions, Graphs of a set of ordered pairs as a representation of a relationship between two variables
  • Functions and Graphs: Linear Functions, Graphs of Linear Functions, Gradient of a Linear Graph, Plotting of Straight Line on Graph Paper
  • Functions and Graphs: Graphs of Quadratic Functions and their properties, Sketching graphs of Quadratic Functions
  • Functions and Graphs: Graphs of Power Functions, Graphs of Exponential Functions, Estimation of the gradient of a curve by drawing a tangent
  • Equations and Inequalities: Solving Simultaneous Linear Equations in Two Variables by Graphical, Elimination and Substitution Method
  • Equations and Inequalities: Solving Equations involving Algebraic Fractions
  • Equations and Inequalities: Solving Quadratic Equations in One Unknown by Factorisation, Completing The Square, Formula and Graphical method
  • Equations and Inequalities: Solving Simple Fractional Equations that can be reduced to Quadratic Equations, Formulating equations to solve problems
  • Equations and Inequalities: Solving Linear Inequalities in One Variable, and Representing The Solution on the Number Line

Who Should Attend!

  • Students taking Singapore GCE O Level Mathematics Syllabus [4048], IGCSE or any other equivalent
  • Students looking to deepen their learning on Number and Algebra
  • Parents looking for supplementary resources of Number and Algebra to help guide their children on their school work
  • Homeschool parents looking for structured Mathematics courses
  • Young adults/adults who wish to refresh their understanding of Number and Algebra