Grade Curriculum
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1
1. WHOLE NUMBERS
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Introduction: Properties of Numbers
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Lesson1: Basic Number Properties
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Lesson2: How to Classify Numbers
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Lesson3: Add & Subtract Columns
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Lesson4: Multiply & Divide Columns
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Lesson5: Multiples & Factors
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Lesson6: Ratios & Rates
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Exercise1: Basic Number Properties
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Exercise2: How to Classify Numbers
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Exercise3: Add & Subtract Columns
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Exercise4: Multiply & Divide Columns
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Exercise5: Multiples & Factors (HCF & LCM)
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Exercise6: Ratios & Rates
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Fun Exploration1: Mixed Number Magic
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Fun Exploration2: Place Numbers in Order
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Fun Exploration3: Classify Rational Numbers
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2
2. INTEGERS
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Introduction: What is an Integer?
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Lesson1: Basics of Integers
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Lesson2: Add & Subtract Integers
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Lesson3: Multiply & Divide Integers
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Lesson4: BODMAS with Integers
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Lesson5: Squares & Cubes of Integers
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Lesson6: Square Roots & Cube Roots
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Exercise1: Basics of Integers
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Exercise2: Add & Subtract Integers
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Exercise3: Multiply & Divide Integers
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Exercise4: BODMAS with Integers
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Exercise5: Squares & Cubes of Integers
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Exercise6: Square Roots & Cube Roots of Integers
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Fun Exploration1: Add Integers Visually
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Fun Exploration2: Subtract Integers Visually
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Fun Exploration3: Multiplying Integers Visually
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Fun Exploration4: Dividing Integers Visually
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Fun Exploration5: Powers with a Negative Base
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3
3. COMMON FRACTIONS
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Introduction: What is a Fraction?
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Lesson1: Convert Common Fractions
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Lesson2: Add & Subtract Common Fractions
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Lesson3: Multiply & Divide Common Fractions
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Lesson4: Solving x with Common Fractions
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Lesson5: Real Life Problems
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Exercise1: Convert Common Fractions
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Exercise2: Add & Subtract Common Fractions
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Exercise3: Multiply & Divide Common Fractions
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Exercise4: Solving x with Common Fractions
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Exercise5: Real Life Problems
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Fun Exploration1: Basic Fractions Visually
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Fun Exploration2: Explore Fractions Visually
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Fun Exploration3: Convert Fractions Visually
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Fun Exploration4: Convert Mixed Number to Improper Fraction
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Fun Exploration5: Convert Improper Fraction to Mixed Number
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Fun Exploration6: Adding Fractions Visually
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Fun Exploration7: Subtracting Fractions Visually
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Fun Exploration8: Multiplying Fractions Visually
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4
4. DECIMAL FRACTIONS
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Introduction: What is a Decimal Fraction?
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Lesson1: Convert Decimal Fractions
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Lesson2: Add & Subtract Decimal Fractions
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Lesson3: Multiply & Divide Decimal Fractions
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Lesson4: Expressions with Decimal Fractions
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Lesson5: Solve x with Decimal Fractions
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Exercise1: Convert Decimal Fractions
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Exercise2: Add & Subtract Decimal Fractions
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Exercise3: Multiply & Divide Decimal Fractions
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Exercise4: Expressions with Decimal Fractions
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Exercise5: Solve Equations with Decimal Fractions
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Fun Exploration1: Exploring Decimal Fractions Visually
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5
5. EXPONENTS
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Introduction: What is an Exponent?
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Lesson1: Multiplying Exponents
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Lesson2: Dividing Exponents
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Lesson3: Negative Exponents
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Lesson4: Power raised to a Power
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Lesson5: Equations with Exponents
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Exercise1: Multiplying Exponents
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Exercise2: Dividing Exponents
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Exercise3: Negative Exponents
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Exercise4: Power raised to a Power
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Exercise5: Equations with Exponents
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Fun Exploration1: Exploring Exponents
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Fun Exploration2: Exploring Squares & Square Roots
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6
6. NUMERIC & GEOMETRIC PATTERNS
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Introduction: Understanding Patterns
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Lesson1: Extend the Pattern
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Lesson2: Describe the Pattern
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Lesson3: Use the Rule to Complete Table
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Lesson4: Determine the General Rule
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Lesson5: Relationship between x and y
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Lesson6&7: Geometric Pattern #1
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Lesson8: Geometric Pattern #2
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Exercise1: Extend the Pattern
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Exercise2: Describe the Pattern
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Exercise3: Use the Rule to Complete Table
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Exercise4: Determine the General Rule
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Exercise5: Relationship between x and y
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Exercise6: Geometric Pattern 1
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Exercise7: Geometric Pattern 2
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Exercise8: Geometric Pattern 3
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Fun Exploration1: Fun Way of Creating a Sequence
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Fun Exploration2: Predict the Line Pattern
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Fun Exploration3: Play with Number Patterns
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7
7. FUNCTIONS & RELATIONSHIPS #1
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Introduction: Connections in Maths
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Lesson1: Complete the Table using Rule
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Lesson2: Complete Flow Diagram using Rule
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Lesson3: Determine the Rule from Table
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Lesson4: Find the Rule from Flow Diagram
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Lesson5: Use Graph to Complete Table
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Exercise1: Complete the Table using Rule
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Exercise2: Complete the Flow Diagram using Rule
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Exercise3: Determine the Rule from Table
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Exercise4: Find the Rule from Flow Diagram
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Exercise5: Use Graph to Complete Table
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Fun Exploration1: Exploring Relationships
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8
8. ALGEBRAIC EXPRESSIONS #1
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Introduction: Understanding Algebraic Expressions
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Lesson1&2: Analyse Algebraic Expressions
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Lesson3: Simplify Algebraic Expressions
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Lesson4: Multiply Algebraic Expressions
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Lesson5: Divide Algebraic Expressions
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Lesson6: Multiply Binomials
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Exercise1: Analyse Algebraic Expressions #1
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Exercise2: Analyse Algebraic Expressions #2
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Exercise3: Simplify Algebraic Expressions
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Exercise4: Multiply Algebraic Expressions
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Exercise5: Divide Algebraic Expressions
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Exercise6: Multiply Binomials
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Fun Exploration1: Fun way of Simplifying Algebraic Expressions
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Fun Exploration2: Visualise Algebraic Expressions
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9
9. ALGEBRAIC EQUATIONS #1
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Introduction: Understanding Algebraic Equations
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Lesson1: Solving Linear Equations
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Lesson2: Solving Equations with Fractions
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Lesson3: Solving Equations with Exponents
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Lesson4: Solving Word Problems #1
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Lesson5: Solving Word Problems #2
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Exercise1: Solving Linear Equations
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Exercise2: Solving Equations with Fractions
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Exercise3: Solving Equations with Exponents
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Exercise4: Solving Word Problems #1
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Exercise5: Solving Word Problems #2
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Fun Exploration1: Balance the Algebraic Equation
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Fun Exploration2: Playing with Algebraic Equations
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10
11. GEOMETRY of 2D SHAPES
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Introduction: Understanding Geometry
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Lesson1: Basic Solving of x in Triangles
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Lesson2: Advanced Solving of x in Triangles
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Lesson3: Basic Solving of x in Quadrilaterals
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Lesson4: Advanced Solving of x in Quadrilaterals
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Lesson5: Basic Congruency in Triangles
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Lesson6: Advanced Congruency with Triangles
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Lesson7&8: Similarity in Triangles
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Exercise1: Basic Solving of x in Triangles
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Exercise2: Advanced Solving of x in Triangles
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Exercise3: Basic Solving of x in Quadrilaterals
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Exercise4: Advanced Solving of x in Quadrilaterals
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Exercise5: Basic Congruency in Triangles
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Exercise6: Advanced Congruency with Triangles
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Exercise7: Similarity in Triangles #1
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Exercise8: Similarity in Triangles #2
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Fun Exploration1: Types of Triangles
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Fun Exploration2: Exploring Quadrilaterals
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Fun Exploration3: Exploring the Kite
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Fun Exploration4: Exploring Congruent Triangles
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Fun Exploration5: Exploring Similar Triangles
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11
12. GEOMETRY of STRAIGHT LINES
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Introduction1: Basics of Angles
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Introduction2: Basics of Parallel Lines
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Lesson1: Basic Solving of x in Angles
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Lesson2: Solving of Angles around a Point
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Lesson3: Advanced Solving of x in Angles
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Lesson4: Basic Calculations with Parallel Lines
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Lesson5&6: Advanced Calculations with Parallel Lines
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Exercise1: Basic Solving of x in Angles
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Exercise2: Solving of Angles around a Point
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Exercise3: Advanced Solving of x in Angles
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Exercise4: Basic Calculations with Parallel Lines
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Exercise5: Advanced Calculations with Parallel Lines #1
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Exercise6: Advanced Calculations with Parallel Lines #2
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Fun Exploration1: Basic Angles
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Fun Exploration2: Complementary & Supplementary Angles
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Fun Exploration3: Angles Around a Point
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Fun Exploration4: Vertically Opposite Angles
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Fun Exploration5: Exploring Parallel Lines
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12
13. THEOREM of PYTHAGORAS
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Introduction: Basics of Pythagoras
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Lesson1: Basic Pythagoras Problems
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Lesson2: Advanced Pythagoras Problems
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Lesson3: Complex Pythagoras Problems
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Exercise1: Basic Pythagoras Problems
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Exercise2: Advanced Pythagoras Problems
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Exercise3: Complex Pythagoras Problems
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Fun Exploration1: Explore Theorem of Pythagoras
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13
14. AREA & PERIMETER of 2D SHAPES
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Introduction: Understanding Area & Perimeter
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Lesson1&2: Area & Perimeter of Composite Shapes
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Lesson3: Area & Perimeter of Shaded Shapes
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Exercise1: Area & Perimeter of Composite Shapes #1
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Exercise2: Area & Perimeter of Composite Shapes #2
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Exercise3: Area & Perimeter of Shaded Shapes
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Fun Exploration1: Explore Circumference of Circle
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Fun Exploration2: Explore Area of Circle
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14
15. FUNCTIONS & RELATIONSHIPS #2
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Introduction: Connections in Maths
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Lesson1: Complete the Table using Rule
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Lesson2: Complete Flow Diagram using Rule
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Lesson3: Determine the Rule from Table
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Lesson4: Find the Rule from Flow Diagram
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Lesson5: Use Graph to Complete Table
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Lesson6&7: Draw Graph from a Table
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Exercise1: Complete the Table using Rule
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Exercise2: Complete the Flow Diagram using Rule
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Exercise3: Determine the Rule from Table
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Exercise4: Find the Rule from Flow Diagram
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Exercise5: Use Graph to Complete Table
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Exercise6: Draw Graph from a Table #1
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Exercise7: Draw Graph from a Table #2
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Fun Exploration1: Exploring Relationships
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15
16. ALGEBRAIC EXPRESSIONS #2
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Introduction: Understanding Algebraic Expressions
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Lesson1&2: Analyse Algebraic Expressions
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Lesson3: Simplify Algebraic Expressions
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Lesson4: Multiply Algebraic Expressions
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Lesson5: Divide Algebraic Expressions
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Lesson6: Multiply Binomials
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Lesson7: Factorise Using Common Factors
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Lesson8: Factorise Difference of Two Squares
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Lesson9: Factorise Trinomials
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Lesson10: Simplify Fractions Using Factorisation
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Exercise1: Analyse Algebraic Expressions #1
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Exercise2: Analyse Algebraic Expressions #2
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Exercise3: Simplify Algebraic Expressions
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Exercise4: Multiply Algebraic Expressions
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Exercise5: Divide Algebraic Expressions
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Exercise6: Multiply Binomials
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Exercise7: Factorise Using Common Factors
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Exercise8: Factorise Difference of Two Squares
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Exercise9: Factorise Trinomials
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Exercise10: Simplify Fractions Using Factorisation
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Fun Exploration1: Fun way of Simplifying Algebraic Expressions
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Fun Exploration2: Visualise Algebraic Expressions
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16
17. ALGEBRAIC EQUATIONS #2
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Introduction: Understanding Algebraic Equations
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Lesson1: Solving Linear Equations
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Lesson2: Solving Equations with Fractions
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Lesson3: Solving Equations with Exponents
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Lesson4: Solving Word Problems #1
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Lesson5: Solving Word Problems #2
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Lesson6: Solve x in the Denominator
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Lesson7: Product of Two Factors
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Lesson8: Solve x by Factorising
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Exercise1: Solving Linear Equations
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Exercise2: Solving Equations with Fractions
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Exercise3: Solving Equations with Exponents
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Exercise4: Solving Word Problems #1
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Exercise5: Solving Word Problems #2
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Exercise6: Solve x in the Denominator
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Exercise7: Product of Two Factors
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Exercise8: Solve x by Factorising
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Fun Exploration1: Balance the Algebraic Equation
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Fun Exploration2: Playing with Algebraic Equations
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17
18. GRAPHS
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Introduction1: Types of Graphs
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Introduction2: Basics of Line Graphs
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Lesson1: Interpreting Graphs #1
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Lesson2: Interpreting Graphs #2
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Lesson3: Interpreting Graphs #3
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Lesson4: Draw Graph from a Table
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Lesson5: Determine Equation from a Table
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Lesson6&7: Draw Graph with Dual Intercept Method
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Lesson8&9: Determine Gradient from the Graph
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Lesson10: Determine Gradient from Two Points
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Lesson11: Determine Equation from a Graph
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Lesson12: Determine Equation from Two Points
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Lesson13: Parallel & Perpendicular Lines
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Exercise1: Interpreting Graphs #1
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Exercise2: Interpreting Graphs #2
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Exercise3: Interpreting Graphs #3
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Exercise4: Draw Graph from a Table
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Exercise5: Determine Equation from a Table
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Exercise6: Draw Graph using Dual Intercept Method #1
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Exercise7: Draw Graph using Dual Intercept Method #2
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Exercise8: Determine Gradient from the Graph #1
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Exercise9: Determine Gradient from the Graph #2
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Exercise10: Determine Gradient from Two Points
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Exercise11: Determine Equation from a Graph
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Exercise12: Determine Equation from Two Points
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Exercise13: Parallel & Perpendicular Lines
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Fun Exploration1: Explore the Cartesian Coordinate System
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Fun Exploration2: Explore the Straight Line Graph
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18
19. SURFACE AREA & VOLUME of 3D OBJECTS
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Introduction: Basics of 3D Objects
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Lesson1: Surface Area & Volume of Prisms #1
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Lesson2: Surface Area & Volume of Prisms #2
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Lesson3: Surface Area & Volume of Cylinder
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Lesson4: Volume of Composite Objects
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Lesson5: Conversions
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Exercise1: Surface Area & Volume of Prisms #1
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Exercise2: Surface Area & Volume of Prisms #2
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Exercise3: Surface Area & Volume of Cylinder
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Exercise4: Volume of Composite Objects
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Exercise5: Conversions
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Fun Exploration1: Explore Prisms
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Fun Exploration2: Explore Rectangular Prism
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Fun Exploration3: Explore Triangular Prism
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Fun Exploration4: Explore Nets of Cubes
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Fun Exploration5: Explore the Cylinder
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19
20. TRANSFORMATION GEOMETRY
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Introduction: Basics of Transformations
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Lesson1: Translation General Rule
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Lesson2: Reflection General Rule
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Lesson3: Rotation General Rule
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Lesson4: Transformation of Points
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Lesson5: Transformation of Triangles
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Lesson6: Describe Transformation in Words
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Lesson7&8: Enlargement of Points
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Lesson9: Enlargement of Perimeter & Area
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Exercise1: Translation -> General Rule
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Exercise2: Reflection -> General Rule
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Exercise3: Rotation -> General Rule
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Exercise4: Transformation of Points
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Exercise5: Transformation of Triangles
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Exercise6: Describe the Transformation in Words
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Exercise7: Enlargement of Points #1
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Exercise8: Enlargement of Points #2
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Exercise9: Enlargement of Perimeter & Area
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Fun Exploration1: Explore Transformations
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20
21. GEOMETRY of 3D OBJECTS
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Introduction: Basics of 3D Objects
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Lesson1: Identify 3D Objects
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Lesson2: Relationship between V, E and F
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Lesson3: Match the Nets of 3D Objects
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Exercise1: Identify 3D Objects
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Exercise2: Relationship between V, E and F
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Exercise3: Match the Nets of 3D Objects
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Exercise4: Identify Geometric Figures
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Exercise5: Use the Characteristics of Platonic Solids
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Exercise6: Identify Solids
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Fun Exploration1: Explore Platonic Solids
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Fun Exploration2: Explore the Tetrahedron
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Fun Exploration3: Explore the Octahedron
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Fun Exploration4: Explore the Icosahedron
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Fun Exploration5: Explore the Hexahedron
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Fun Exploration6: Explore the Dodecahedron
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21
22. COLLECT, ORGANISE & SUMMARISE DATA
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Introduction: Basics of Statistics
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Lesson1&6: Basics of Stem-&-Leaf Diagram
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Lesson2&3&4: Calculations with Stem-&-Leaf
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Lesson5: Frequency of Data as Fraction
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Exercise1: Basics of Stem-&-Leaf Diagram
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Exercise2: Calculations with Stem-&-Leaf #1
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Exercise3: Complete the Frequency Table #1
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Exercise4: Complete the Frequency Table #2
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Exercise5: Frequency of Data as Fraction
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Exercise6: Back-to-Back Stem-&-Leaf
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Fun Exploration1: Explore Stem-&-Leaf Diagrams
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22
23. REPRESENT DATA
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Introduction: Ways of Representing Data
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Lesson1&5: Represent Data as Histogram
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Lesson2: Represent Data as Bar Graph
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Lesson3: Represent Data as Pie Chart
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Lesson4: Represent Data as Broken-Line Graph
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Lesson6: Create the Broken Line Graph
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Lesson7: Create the Scatter Plot
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Exercise1: Represent Data as Histogram #1
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Exercise2: Represent Data as Bar Graph
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Exercise3: Represent Data as Pie Chart
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Exercise4: Represent Data as Broken-Line Graph
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Exercise5: Represent Data as Histogram #2
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Exercise6: Create the Broken-Line Graph
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Exercise7: Create the Scatter Plot
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Fun Exploration1: Explore Histograms
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Fun Exploration2: Explore Bar Graphs
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Fun Exploration3: Explore Pie Charts
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Fun Exploration4: Explore Broken-Line Graphs
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Fun Exploration5: Explore the Scatter Plot
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23
24. INTERPRET, ANALYSE & REPORT DATA
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Introduction: How do we Interpret Data?
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Lesson1&2: Interpret & Analyse Bar Charts
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Lesson3: Interpret & Analyse Pie Chart #1
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Lesson4: Interpret & Analyse Histograms
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Lesson5: Interpret & Analyse Double Bar Graph
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Lesson6: Interpret & Analyse Single Bar Graph
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Lesson7: Interpret & Analyse Pie Chart #2
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Exercise1: Interpret & Analyse Single Bar Graph #1
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Exercise2: Interpret & Analyse Double Bar Graph #1
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Exercise3: Interpret & Analyse Pie Chart #1
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Exercise4: Interpret & Analyse Histogram
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Exercise5: Interpret & Analyse Double Bar Graph #2
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Exercise6: Interpret & Analyse Single Bar Graph #2
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Exercise7: Interpret & Analyse Pie Chart #2
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Fun Exploration1: Explore Histograms
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Fun Exploration2: Explore Bar Graphs
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Fun Exploration3: Explore Pie Charts
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Fun Exploration4: Explore Broken-Line Graphs
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Fun Exploration5: Explore the Scatter Plot
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24
25. PROBABILITY
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Introduction: What is Probability?
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Lesson1: Probability of a Spinner
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Lesson2: Probability of Cards
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Lesson3: Probability of a Coin & Dice
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Lesson4&6&9: Using a Tree Diagram in Compound Event
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Lesson5&8: Using a Two-Way Table in Compound Event
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Lesson7: Using a Two-Way Table With Spinners
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Lesson10: Items Not Replaced in Compound Event
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Lesson11: Cards Not Replaced in Calculating Probability of Cards
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Exercise1: Probability of a Spinner
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Exercise2: Probability of Cards
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Exercise3: Probability of a Coin & Dice
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Exercise4: Using a Tree Diagram in Compound Event #1
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Exercise5: Using a Two-Way Table in Compound Event #1
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Exercise6: Using a Tree Diagram in Compound Event #2
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Exercise7: Using a Two-Way Table with Spinners
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Exercise8: Using a Two-Way Table in Compound Event #2
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Exercise9: Using a Tree Diagram in Compound Event #3
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Exercise10: Items Not Replaced in Compound Event
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Exercise11: Cards Not Replaced in Calculating Probability of Cards
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Fun Exploration1: Explore Rolling Dice
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Fun Exploration2: Explore Flipping Coin
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Fun Exploration3: Explore Relative Frequency
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