Learn Number and Algebra (Part 2) the Singapore Way

Course Curriculum

Chapter 1: Evaluation of Algebraic Expressions and Algebraic Formulae

Lecture 1: Conceptual Bridging: Algebraic Expression

Lecture 2: Worked Example 1: Evaluation of Algebraic Expressions

Lecture 3: Exercise Question 1

Lecture 4: Exercise Question 2

Chapter 2: Translation of Real-World Situations to Algebraic Expressions

Lecture 1: Worked Example 1

Lecture 2: Exercise Question 1

Lecture 3: Exercise Question 2

Lecture 4: Exercise Question 3

Chapter 3: Representing Patterns/Relationships by finding Algebraic Expression (nth term)

Lecture 1: Conceptual Bridging: Number Sequence and its Rules

Lecture 2: Worked Example 1: Stating the Rule of a Sequence

Lecture 3: Worked Example 2

Lecture 4: Worked Example 3

Lecture 5: Worked Example 4

Lecture 6: Worked Example 5

Lecture 7: Worked Example 6 (a)

Lecture 8: Worked Example 6(b) & 6(c)

Chapter 4: Practice (Number Patterns)

Lecture 1: Practice Question 1

Lecture 2: Practice Question 2

Lecture 3: Practice Question 3

Lecture 4: Practice Question 4

Chapter 5: Addition and Subtraction of Linear Expressions

Lecture 1: Worked Example 1: Addition and Subtraction of Linear Expression

Lecture 2: Worked Example 2: Addition & Subtraction of LE in'lving Fractional Coefficients

Lecture 3: Exercise Question 1

Lecture 4: Exercise Question 2

Lecture 5: Exercise Question 3

Chapter 6: Solving Linear Equations

Lecture 1: Conceptual Bridging: Solving Linear Equations

Lecture 2: Worked Example 1: Solving Simple Linear Equations

Lecture 3: Worked Example 2: Linear Equations involving Expansion

Lecture 4: Worked Example 3: Linear Equations involving Fractional Coefficients

Lecture 5: Worked Example 4: Solving Fractional Equations

Chapter 7: Use of Symbols (<, >, ≤, ≥)

Lecture 1: Conceptual Bridging: Simple Inequalities

Lecture 2: Properties of Multiplying and Dividing Both Sides with a Number

Lecture 3: Worked Example 1: Solving Simple Linear Inequalities

Lecture 4: Worked Example 2: Solving Simple Linear Inequalities

Lecture 5: Worked Example 3: Problem involving Linear Inequalities

Chapter 8: Factorisation of Algebraic Expressions

Lecture 1: Conceptual Bridging: Distributive Law

Lecture 2: Worked Example 1: Factorisation of Algebraic Expressions

Lecture 3: Worked Example 2

Lecture 4: Exercise Question 1

Lecture 5: Exercise Question 2

Lecture 6: Exercise Question 3

Chapter 9: Expansion of the Product of Algebraic Expressions

Lecture 1: Conceptual Bridging: Distributive Law

Lecture 2: Worked Example 1: Expansion of Linear Expressions

Lecture 3: Worked Example 2: Expansion and Simplification of Linear Expressions

Lecture 4: Worked Example 3: Expansion and Simplification involving Fractional Coefficients

Lecture 5: Worked Example 4

Chapter 10: Changing the subject of a formula

Lecture 1: Conceptual Bridging: Algebraic Formulae

Lecture 2: Worked Example 1

Lecture 3: Worked Example 2

Lecture 4: Worked Example 3

Lecture 5: Worked Example 4

Lecture 6: Worked Example 5

Chapter 11: Practice (Algebraic Formulae)

Lecture 1: Practice Question 1

Lecture 2: Practice Question 2

Lecture 3: Practice Question 3

Lecture 4: Practice Question 4

Lecture 5: Practice Question 5

Chapter 12: Addition and Subtraction of Quadratic Expressions

Lecture 1: Conceptual Bridging: Linear Expression and Quadratic Expressions

Lecture 2: Worked Example 1: Addition and Subtraction of Quadratic Expressions

Lecture 3: Exercise Question 1

Chapter 13: Expansion and Simplification of Quadratic Expressions

Lecture 1: Conceptual Bridging: Expansion and Simplification of Simple Quadratic Expression

Lecture 2: Worked Example 1 (a) & 1 (b)

Lecture 3: Worked Example 1 (c) & 1 (d)

Lecture 4: Conceptual Bridging: Quadratic Expressions of the form (a+b)(c+d)

Lecture 5: Worked Example 2 (a) & 2 (b) & 2 (c)

Lecture 6: Worked Example 2 (d) & 2 (e)

Lecture 7: Worked Example 3

Lecture 8: Worked Example 4 (a) & 4 (b) & 4 (c)

Lecture 9: Worked Example 4 (d) & 4 (e)

Chapter 14: Expansion using Special Identities

Lecture 1: Conceptual Bridging: Expansion using Special Identities

Lecture 2: Worked Example 1 (a) & 1 (b) & 1 (c)

Lecture 3: Worked Example 1 (d) & 1 (e) & 1 (f)

Lecture 4: Worked Example 2

Lecture 5: Worked Example 3

Chapter 15: Factorisation of Quadratic Expressions

Lecture 1: Conceptual Bridging: Factorisation of Quadratic Expressions

Lecture 2: Worked Example 1

Lecture 3: Worked Example 2

Lecture 4: Worked Example 3

Lecture 5: Worked Example 4

Chapter 16: Factorisation by Special Identities/Special Algebraic Identities/Grouping

Lecture 1: Worked Example 1

Lecture 2: Exercise Question 1

Lecture 3: Worked Example 2

Lecture 4: Exercise Question 2

Lecture 5: Worked Example 3 (a)