Grade Curriculum

  • 1

    1. WHOLE NUMBERS

    • Introduction: Properties of Numbers

    • Lesson1: Basic Number Properties

    • Lesson2: How to Classify Numbers

    • Lesson3: Add & Subtract Columns

    • Lesson4: Multiply & Divide Columns

    • Lesson5: Multiples & Factors

    • Lesson6: Ratios & Rates

    • Exercise1: Basic Number Properties

    • Exercise2: How to Classify Numbers

    • Exercise3: Add & Subtract Columns

    • Exercise4: Multiply & Divide Columns

    • Exercise5: Multiples & Factors (HCF & LCM)

    • Exercise6: Ratios & Rates

    • Fun Exploration1: Mixed Number Magic

    • Fun Exploration2: Place Numbers in Order

    • Fun Exploration3: Classify Rational Numbers

  • 2

    2. INTEGERS

    • Introduction: What is an Integer?

    • Lesson1: Basics of Integers

    • Lesson2: Add & Subtract Integers

    • Lesson3: Multiply & Divide Integers

    • Lesson4: BODMAS with Integers

    • Lesson5: Squares & Cubes of Integers

    • Lesson6: Square Roots & Cube Roots

    • Exercise1: Basics of Integers

    • Exercise2: Add & Subtract Integers

    • Exercise3: Multiply & Divide Integers

    • Exercise4: BODMAS with Integers

    • Exercise5: Squares & Cubes of Integers

    • Exercise6: Square Roots & Cube Roots of Integers

    • Fun Exploration1: Add Integers Visually

    • Fun Exploration2: Subtract Integers Visually

    • Fun Exploration3: Multiplying Integers Visually

    • Fun Exploration4: Dividing Integers Visually

    • Fun Exploration5: Powers with a Negative Base

  • 3

    3. COMMON FRACTIONS

    • Introduction: What is a Fraction?

    • Lesson1: Convert Common Fractions

    • Lesson2: Add & Subtract Common Fractions

    • Lesson3: Multiply & Divide Common Fractions

    • Lesson4: Solving x with Common Fractions

    • Lesson5: Real Life Problems

    • Exercise1: Convert Common Fractions

    • Exercise2: Add & Subtract Common Fractions

    • Exercise3: Multiply & Divide Common Fractions

    • Exercise4: Solving x with Common Fractions

    • Exercise5: Real Life Problems

    • Fun Exploration1: Basic Fractions Visually

    • Fun Exploration2: Explore Fractions Visually

    • Fun Exploration3: Convert Fractions Visually

    • Fun Exploration4: Convert Mixed Number to Improper Fraction

    • Fun Exploration5: Convert Improper Fraction to Mixed Number

    • Fun Exploration6: Adding Fractions Visually

    • Fun Exploration7: Subtracting Fractions Visually

    • Fun Exploration8: Multiplying Fractions Visually

  • 4

    4. DECIMAL FRACTIONS

    • Introduction: What is a Decimal Fraction?

    • Lesson1: Convert Decimal Fractions

    • Lesson2: Add & Subtract Decimal Fractions

    • Lesson3: Multiply & Divide Decimal Fractions

    • Lesson4: Expressions with Decimal Fractions

    • Lesson5: Solve x with Decimal Fractions

    • Exercise1: Convert Decimal Fractions

    • Exercise2: Add & Subtract Decimal Fractions

    • Exercise3: Multiply & Divide Decimal Fractions

    • Exercise4: Expressions with Decimal Fractions

    • Exercise5: Solve Equations with Decimal Fractions

    • Fun Exploration1: Exploring Decimal Fractions Visually

  • 5

    5. EXPONENTS

    • Introduction: What is an Exponent?

    • Lesson1: Multiplying Exponents

    • Lesson2: Dividing Exponents

    • Lesson3: Negative Exponents

    • Lesson4: Power raised to a Power

    • Lesson5: Equations with Exponents

    • Exercise1: Multiplying Exponents

    • Exercise2: Dividing Exponents

    • Exercise3: Negative Exponents

    • Exercise4: Power raised to a Power

    • Exercise5: Equations with Exponents

    • Fun Exploration1: Exploring Exponents

    • Fun Exploration2: Exploring Squares & Square Roots

  • 6

    6. NUMERIC & GEOMETRIC PATTERNS

    • Introduction: Understanding Patterns

    • Lesson1: Extend the Pattern

    • Lesson2: Describe the Pattern

    • Lesson3: Use the Rule to Complete Table

    • Lesson4: Determine the General Rule

    • Lesson5: Relationship between x and y

    • Lesson6&7: Geometric Pattern #1

    • Lesson8: Geometric Pattern #2

    • Exercise1: Extend the Pattern

    • Exercise2: Describe the Pattern

    • Exercise3: Use the Rule to Complete Table

    • Exercise4: Determine the General Rule

    • Exercise5: Relationship between x and y

    • Exercise6: Geometric Pattern 1

    • Exercise7: Geometric Pattern 2

    • Exercise8: Geometric Pattern 3

    • Fun Exploration1: Fun Way of Creating a Sequence

    • Fun Exploration2: Predict the Line Pattern

    • Fun Exploration3: Play with Number Patterns

  • 7

    7. FUNCTIONS & RELATIONSHIPS #1

    • Introduction: Connections in Maths

    • Lesson1: Complete the Table using Rule

    • Lesson2: Complete Flow Diagram using Rule

    • Lesson3: Determine the Rule from Table

    • Lesson4: Find the Rule from Flow Diagram

    • Lesson5: Use Graph to Complete Table

    • Exercise1: Complete the Table using Rule

    • Exercise2: Complete the Flow Diagram using Rule

    • Exercise3: Determine the Rule from Table

    • Exercise4: Find the Rule from Flow Diagram

    • Exercise5: Use Graph to Complete Table

    • Fun Exploration1: Exploring Relationships

  • 8

    8. ALGEBRAIC EXPRESSIONS #1

    • Introduction: Understanding Algebraic Expressions

    • Lesson1&2: Analyse Algebraic Expressions

    • Lesson3: Simplify Algebraic Expressions

    • Lesson4: Multiply Algebraic Expressions

    • Lesson5: Divide Algebraic Expressions

    • Lesson6: Multiply Binomials

    • Exercise1: Analyse Algebraic Expressions #1

    • Exercise2: Analyse Algebraic Expressions #2

    • Exercise3: Simplify Algebraic Expressions

    • Exercise4: Multiply Algebraic Expressions

    • Exercise5: Divide Algebraic Expressions

    • Exercise6: Multiply Binomials

    • Fun Exploration1: Fun way of Simplifying Algebraic Expressions

    • Fun Exploration2: Visualise Algebraic Expressions

  • 9

    9. ALGEBRAIC EQUATIONS #1

    • Introduction: Understanding Algebraic Equations

    • Lesson1: Solving Linear Equations

    • Lesson2: Solving Equations with Fractions

    • Lesson3: Solving Equations with Exponents

    • Lesson4: Solving Word Problems #1

    • Lesson5: Solving Word Problems #2

    • Exercise1: Solving Linear Equations

    • Exercise2: Solving Equations with Fractions

    • Exercise3: Solving Equations with Exponents

    • Exercise4: Solving Word Problems #1

    • Exercise5: Solving Word Problems #2

    • Fun Exploration1: Balance the Algebraic Equation

    • Fun Exploration2: Playing with Algebraic Equations

  • 10

    11. GEOMETRY of 2D SHAPES

    • Introduction: Understanding Geometry

    • Lesson1: Basic Solving of x in Triangles

    • Lesson2: Advanced Solving of x in Triangles

    • Lesson3: Basic Solving of x in Quadrilaterals

    • Lesson4: Advanced Solving of x in Quadrilaterals

    • Lesson5: Basic Congruency in Triangles

    • Lesson6: Advanced Congruency with Triangles

    • Lesson7&8: Similarity in Triangles

    • Exercise1: Basic Solving of x in Triangles

    • Exercise2: Advanced Solving of x in Triangles

    • Exercise3: Basic Solving of x in Quadrilaterals

    • Exercise4: Advanced Solving of x in Quadrilaterals

    • Exercise5: Basic Congruency in Triangles

    • Exercise6: Advanced Congruency with Triangles

    • Exercise7: Similarity in Triangles #1

    • Exercise8: Similarity in Triangles #2

    • Fun Exploration1: Types of Triangles

    • Fun Exploration2: Exploring Quadrilaterals

    • Fun Exploration3: Exploring the Kite

    • Fun Exploration4: Exploring Congruent Triangles

    • Fun Exploration5: Exploring Similar Triangles

  • 11

    12. GEOMETRY of STRAIGHT LINES

    • Introduction1: Basics of Angles

    • Introduction2: Basics of Parallel Lines

    • Lesson1: Basic Solving of x in Angles

    • Lesson2: Solving of Angles around a Point

    • Lesson3: Advanced Solving of x in Angles

    • Lesson4: Basic Calculations with Parallel Lines

    • Lesson5&6: Advanced Calculations with Parallel Lines

    • Exercise1: Basic Solving of x in Angles

    • Exercise2: Solving of Angles around a Point

    • Exercise3: Advanced Solving of x in Angles

    • Exercise4: Basic Calculations with Parallel Lines

    • Exercise5: Advanced Calculations with Parallel Lines #1

    • Exercise6: Advanced Calculations with Parallel Lines #2

    • Fun Exploration1: Basic Angles

    • Fun Exploration2: Complementary & Supplementary Angles

    • Fun Exploration3: Angles Around a Point

    • Fun Exploration4: Vertically Opposite Angles

    • Fun Exploration5: Exploring Parallel Lines

  • 12

    13. THEOREM of PYTHAGORAS

    • Introduction: Basics of Pythagoras

    • Lesson1: Basic Pythagoras Problems

    • Lesson2: Advanced Pythagoras Problems

    • Lesson3: Complex Pythagoras Problems

    • Exercise1: Basic Pythagoras Problems

    • Exercise2: Advanced Pythagoras Problems

    • Exercise3: Complex Pythagoras Problems

    • Fun Exploration1: Explore Theorem of Pythagoras

  • 13

    14. AREA & PERIMETER of 2D SHAPES

    • Introduction: Understanding Area & Perimeter

    • Lesson1&2: Area & Perimeter of Composite Shapes

    • Lesson3: Area & Perimeter of Shaded Shapes

    • Exercise1: Area & Perimeter of Composite Shapes #1

    • Exercise2: Area & Perimeter of Composite Shapes #2

    • Exercise3: Area & Perimeter of Shaded Shapes

    • Fun Exploration1: Explore Circumference of Circle

    • Fun Exploration2: Explore Area of Circle

  • 14

    15. FUNCTIONS & RELATIONSHIPS #2

    • Introduction: Connections in Maths

    • Lesson1: Complete the Table using Rule

    • Lesson2: Complete Flow Diagram using Rule

    • Lesson3: Determine the Rule from Table

    • Lesson4: Find the Rule from Flow Diagram

    • Lesson5: Use Graph to Complete Table

    • Lesson6&7: Draw Graph from a Table

    • Exercise1: Complete the Table using Rule

    • Exercise2: Complete the Flow Diagram using Rule

    • Exercise3: Determine the Rule from Table

    • Exercise4: Find the Rule from Flow Diagram

    • Exercise5: Use Graph to Complete Table

    • Exercise6: Draw Graph from a Table #1

    • Exercise7: Draw Graph from a Table #2

    • Fun Exploration1: Exploring Relationships

  • 15

    16. ALGEBRAIC EXPRESSIONS #2

    • Introduction: Understanding Algebraic Expressions

    • Lesson1&2: Analyse Algebraic Expressions

    • Lesson3: Simplify Algebraic Expressions

    • Lesson4: Multiply Algebraic Expressions

    • Lesson5: Divide Algebraic Expressions

    • Lesson6: Multiply Binomials

    • Lesson7: Factorise Using Common Factors

    • Lesson8: Factorise Difference of Two Squares

    • Lesson9: Factorise Trinomials

    • Lesson10: Simplify Fractions Using Factorisation

    • Exercise1: Analyse Algebraic Expressions #1

    • Exercise2: Analyse Algebraic Expressions #2

    • Exercise3: Simplify Algebraic Expressions

    • Exercise4: Multiply Algebraic Expressions

    • Exercise5: Divide Algebraic Expressions

    • Exercise6: Multiply Binomials

    • Exercise7: Factorise Using Common Factors

    • Exercise8: Factorise Difference of Two Squares

    • Exercise9: Factorise Trinomials

    • Exercise10: Simplify Fractions Using Factorisation

    • Fun Exploration1: Fun way of Simplifying Algebraic Expressions

    • Fun Exploration2: Visualise Algebraic Expressions

  • 16

    17. ALGEBRAIC EQUATIONS #2

    • Introduction: Understanding Algebraic Equations

    • Lesson1: Solving Linear Equations

    • Lesson2: Solving Equations with Fractions

    • Lesson3: Solving Equations with Exponents

    • Lesson4: Solving Word Problems #1

    • Lesson5: Solving Word Problems #2

    • Lesson6: Solve x in the Denominator

    • Lesson7: Product of Two Factors

    • Lesson8: Solve x by Factorising

    • Exercise1: Solving Linear Equations

    • Exercise2: Solving Equations with Fractions

    • Exercise3: Solving Equations with Exponents

    • Exercise4: Solving Word Problems #1

    • Exercise5: Solving Word Problems #2

    • Exercise6: Solve x in the Denominator

    • Exercise7: Product of Two Factors

    • Exercise8: Solve x by Factorising

    • Fun Exploration1: Balance the Algebraic Equation

    • Fun Exploration2: Playing with Algebraic Equations

  • 17

    18. GRAPHS

    • Introduction1: Types of Graphs

    • Introduction2: Basics of Line Graphs

    • Lesson1: Interpreting Graphs #1

    • Lesson2: Interpreting Graphs #2

    • Lesson3: Interpreting Graphs #3

    • Lesson4: Draw Graph from a Table

    • Lesson5: Determine Equation from a Table

    • Lesson6&7: Draw Graph with Dual Intercept Method

    • Lesson8&9: Determine Gradient from the Graph

    • Lesson10: Determine Gradient from Two Points

    • Lesson11: Determine Equation from a Graph

    • Lesson12: Determine Equation from Two Points

    • Lesson13: Parallel & Perpendicular Lines

    • Exercise1: Interpreting Graphs #1

    • Exercise2: Interpreting Graphs #2

    • Exercise3: Interpreting Graphs #3

    • Exercise4: Draw Graph from a Table

    • Exercise5: Determine Equation from a Table

    • Exercise6: Draw Graph using Dual Intercept Method #1

    • Exercise7: Draw Graph using Dual Intercept Method #2

    • Exercise8: Determine Gradient from the Graph #1

    • Exercise9: Determine Gradient from the Graph #2

    • Exercise10: Determine Gradient from Two Points

    • Exercise11: Determine Equation from a Graph

    • Exercise12: Determine Equation from Two Points

    • Exercise13: Parallel & Perpendicular Lines

    • Fun Exploration1: Explore the Cartesian Coordinate System

    • Fun Exploration2: Explore the Straight Line Graph

  • 18

    19. SURFACE AREA & VOLUME of 3D OBJECTS

    • Introduction: Basics of 3D Objects

    • Lesson1: Surface Area & Volume of Prisms #1

    • Lesson2: Surface Area & Volume of Prisms #2

    • Lesson3: Surface Area & Volume of Cylinder

    • Lesson4: Volume of Composite Objects

    • Lesson5: Conversions

    • Exercise1: Surface Area & Volume of Prisms #1

    • Exercise2: Surface Area & Volume of Prisms #2

    • Exercise3: Surface Area & Volume of Cylinder

    • Exercise4: Volume of Composite Objects

    • Exercise5: Conversions

    • Fun Exploration1: Explore Prisms

    • Fun Exploration2: Explore Rectangular Prism

    • Fun Exploration3: Explore Triangular Prism

    • Fun Exploration4: Explore Nets of Cubes

    • Fun Exploration5: Explore the Cylinder

  • 19

    20. TRANSFORMATION GEOMETRY

    • Introduction: Basics of Transformations

    • Lesson1: Translation General Rule

    • Lesson2: Reflection General Rule

    • Lesson3: Rotation General Rule

    • Lesson4: Transformation of Points

    • Lesson5: Transformation of Triangles

    • Lesson6: Describe Transformation in Words

    • Lesson7&8: Enlargement of Points

    • Lesson9: Enlargement of Perimeter & Area

    • Exercise1: Translation -> General Rule

    • Exercise2: Reflection -> General Rule

    • Exercise3: Rotation -> General Rule

    • Exercise4: Transformation of Points

    • Exercise5: Transformation of Triangles

    • Exercise6: Describe the Transformation in Words

    • Exercise7: Enlargement of Points #1

    • Exercise8: Enlargement of Points #2

    • Exercise9: Enlargement of Perimeter & Area

    • Fun Exploration1: Explore Transformations

  • 20

    21. GEOMETRY of 3D OBJECTS

    • Introduction: Basics of 3D Objects

    • Lesson1: Identify 3D Objects

    • Lesson2: Relationship between V, E and F

    • Lesson3: Match the Nets of 3D Objects

    • Exercise1: Identify 3D Objects

    • Exercise2: Relationship between V, E and F

    • Exercise3: Match the Nets of 3D Objects

    • Exercise4: Identify Geometric Figures

    • Exercise5: Use the Characteristics of Platonic Solids

    • Exercise6: Identify Solids

    • Fun Exploration1: Explore Platonic Solids

    • Fun Exploration2: Explore the Tetrahedron

    • Fun Exploration3: Explore the Octahedron

    • Fun Exploration4: Explore the Icosahedron

    • Fun Exploration5: Explore the Hexahedron

    • Fun Exploration6: Explore the Dodecahedron

  • 21

    22. COLLECT, ORGANISE & SUMMARISE DATA

    • Introduction: Basics of Statistics

    • Lesson1&6: Basics of Stem-&-Leaf Diagram

    • Lesson2&3&4: Calculations with Stem-&-Leaf

    • Lesson5: Frequency of Data as Fraction

    • Exercise1: Basics of Stem-&-Leaf Diagram

    • Exercise2: Calculations with Stem-&-Leaf #1

    • Exercise3: Complete the Frequency Table #1

    • Exercise4: Complete the Frequency Table #2

    • Exercise5: Frequency of Data as Fraction

    • Exercise6: Back-to-Back Stem-&-Leaf

    • Fun Exploration1: Explore Stem-&-Leaf Diagrams

  • 22

    23. REPRESENT DATA

    • Introduction: Ways of Representing Data

    • Lesson1&5: Represent Data as Histogram

    • Lesson2: Represent Data as Bar Graph

    • Lesson3: Represent Data as Pie Chart

    • Lesson4: Represent Data as Broken-Line Graph

    • Lesson6: Create the Broken Line Graph

    • Lesson7: Create the Scatter Plot

    • Exercise1: Represent Data as Histogram #1

    • Exercise2: Represent Data as Bar Graph

    • Exercise3: Represent Data as Pie Chart

    • Exercise4: Represent Data as Broken-Line Graph

    • Exercise5: Represent Data as Histogram #2

    • Exercise6: Create the Broken-Line Graph

    • Exercise7: Create the Scatter Plot

    • Fun Exploration1: Explore Histograms

    • Fun Exploration2: Explore Bar Graphs

    • Fun Exploration3: Explore Pie Charts

    • Fun Exploration4: Explore Broken-Line Graphs

    • Fun Exploration5: Explore the Scatter Plot

  • 23

    24. INTERPRET, ANALYSE & REPORT DATA

    • Introduction: How do we Interpret Data?

    • Lesson1&2: Interpret & Analyse Bar Charts

    • Lesson3: Interpret & Analyse Pie Chart #1

    • Lesson4: Interpret & Analyse Histograms

    • Lesson5: Interpret & Analyse Double Bar Graph

    • Lesson6: Interpret & Analyse Single Bar Graph

    • Lesson7: Interpret & Analyse Pie Chart #2

    • Exercise1: Interpret & Analyse Single Bar Graph #1

    • Exercise2: Interpret & Analyse Double Bar Graph #1

    • Exercise3: Interpret & Analyse Pie Chart #1

    • Exercise4: Interpret & Analyse Histogram

    • Exercise5: Interpret & Analyse Double Bar Graph #2

    • Exercise6: Interpret & Analyse Single Bar Graph #2

    • Exercise7: Interpret & Analyse Pie Chart #2

    • Fun Exploration1: Explore Histograms

    • Fun Exploration2: Explore Bar Graphs

    • Fun Exploration3: Explore Pie Charts

    • Fun Exploration4: Explore Broken-Line Graphs

    • Fun Exploration5: Explore the Scatter Plot

  • 24

    25. PROBABILITY

    • Introduction: What is Probability?

    • Lesson1: Probability of a Spinner

    • Lesson2: Probability of Cards

    • Lesson3: Probability of a Coin & Dice

    • Lesson4&6&9: Using a Tree Diagram in Compound Event

    • Lesson5&8: Using a Two-Way Table in Compound Event

    • Lesson7: Using a Two-Way Table With Spinners

    • Lesson10: Items Not Replaced in Compound Event

    • Lesson11: Cards Not Replaced in Calculating Probability of Cards

    • Exercise1: Probability of a Spinner

    • Exercise2: Probability of Cards

    • Exercise3: Probability of a Coin & Dice

    • Exercise4: Using a Tree Diagram in Compound Event #1

    • Exercise5: Using a Two-Way Table in Compound Event #1

    • Exercise6: Using a Tree Diagram in Compound Event #2

    • Exercise7: Using a Two-Way Table with Spinners

    • Exercise8: Using a Two-Way Table in Compound Event #2

    • Exercise9: Using a Tree Diagram in Compound Event #3

    • Exercise10: Items Not Replaced in Compound Event

    • Exercise11: Cards Not Replaced in Calculating Probability of Cards

    • Fun Exploration1: Explore Rolling Dice

    • Fun Exploration2: Explore Flipping Coin

    • Fun Exploration3: Explore Relative Frequency