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Course Content
Unit 1: Number (16 lessons)
Introduction to Unit 1: Number (16 lessons) concepts.
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Lesson 1.1.1: Estimating and Adding Integers (Including Negative Numbers) – Introduction to Integer Operations
Lesson 1.1.2: Subtracting Integers (Including Negative Numbers) – Understanding the Concept of Subtraction with Positive and Negative Values
Lesson 1.1.3: Applying the Order of Operations Using Brackets and Indices – Using BODMAS/PEDMAS to Solve Multi-Step Problems
Lesson 1.1.4: Multiplying Positive and Negative Integers – Rules for Multiplication with Integer Signs (Positive and Negative)
Lesson 1.1.5: Dividing Positive and Negative Integers – Division Rules for Integers, Including Handling Negative Divisors
Lesson 1.1.6: Estimation Strategies for Large Integer Calculations – Estimating Sums, Differences, Products, and Quotients of Large Integers
Lesson 1.1.7: Solving Word Problems Using Integer Operations – Real-World Applications of Addition, Subtraction, Multiplication, and Division
Lesson 1.1.8: Visualizing Integer Operations on a Number Line – Using a Number Line to Add, Subtract, Multiply, and Divide Integers
Lesson 1.1.9: Identifying and Correcting Common Mistakes in Integer Operations – Analyzing Common Errors in Integer Operations and Correcting Them
Lesson 1.1.10: Real-Life Scenarios Involving Integer Operations – Applying Integer Operations to Real-Life Problems (e.g., Banking, Temperatures)
Lesson 1.1.11: Multiplying and Dividing Integers with Different Signs – Understanding How to Apply Integer Rules for Mixed Operations
Lesson 1.1.12: Integer Operations Using Word Problems – Complex Word Problems Involving Integer Operations
Lesson 1.1.13: Solving Multi-Step Integer Problems – Combining Multiple Operations (Addition, Subtraction, Multiplication, Division)
Lesson 1.1.14: Estimating and Rounding Integers for Simplification – Using Rounding Strategies to Simplify Integer Calculations
Lesson 1.1.15: Using Integer Operations for Measurement and Comparison – Practical Applications in Measurement (e.g., Distance, Speed)
Lesson 1.1.16: Integer Operations and Estimating Results Using Mental Math – Mental Math Techniques for Integer Operations
Unit 2: Fractions, Decimals, Percentages, and Ratios (16 lessons)
Introduction to Unit 2: Fractions, Decimals, Percentages, and Ratios (16 lessons) concepts.
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Lesson 1.2.1: Converting Fractions to Decimals and Percentages – Understanding Equivalent Fractions, Decimals, and Percentages through Conversion
Lesson 1.2.2: Converting Decimals to Fractions and Percentages – Step-by-Step Conversion Process with Real-Life Examples
Lesson 1.2.3: Estimating Percentages of Whole Numbers – Calculating Simple and Complex Percentages (Including Values Greater Than 100%)
Lesson 1.2.4: Adding Fractions with Like Denominators – Adding Fractions When Denominators Are the Same (Simple and Mixed Fractions)
Lesson 1.2.5: Adding Fractions with Unlike Denominators – Finding the Least Common Denominator (LCD) and Adding Fractions
Lesson 1.2.6: Subtracting Fractions with Like and Unlike Denominators – Using the LCD to Subtract Fractions and Mixed Numbers
Lesson 1.2.7: Multiplying Fractions and Mixed Numbers – Converting Mixed Numbers to Improper Fractions and Performing Multiplication
Lesson 1.2.8: Dividing Fractions by Whole Numbers and Other Fractions – Applying the Division Rule for Fractions and Mixed Numbers
Lesson 1.2.9: Solving Word Problems Involving Fractions, Decimals, and Percentages – Applying Operations to Real-World Situations
Lesson 1.2.10: Using Ratios in Word Problems (e.g., Recipes, Ratios in Maps and Diagrams) – Understanding and Solving Ratio and Proportion Problems
Lesson 1.2.11: Simplifying Ratios and Proportions – Reducing Ratios to Their Simplest Form and Solving Proportional Problems
Lesson 1.2.12: Understanding Direct and Inverse Proportions – Exploring Direct and Inverse Relationships in Everyday Contexts
Lesson 1.2.13: Applying Fractions in Real-Life Scenarios (e.g., Cooking, Money) – Practical Applications of Fraction Operations
Lesson 1.2.14: Using Ratios in Context (e.g., Scaling Recipes, Mixing Solutions) – Ratio and Proportion Problems with Complex Contexts
Lesson 1.2.15: Understanding Percentage Increase and Decrease – Solving Problems Related to Percentage Growth or Reduction
Lesson 1.2.16: Real-World Applications of Percentages (e.g., Discounts, Taxes) – Applying Percentage Calculations in Everyday Situations
Unit 3: Algebra (8 lessons)
Introduction to Unit 3: Algebra (8 lessons) concepts.
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Lesson 1.3.1: Introduction to Algebraic Expressions – Understanding Variables, Constants, and Coefficients in Simple Algebraic Terms
Lesson 1.3.2: Simplifying Algebraic Expressions Using Addition and Subtraction – Combining Like Terms and Simplifying Expressions
Lesson 1.3.3: Applying the Distributive Property to Expand Algebraic Expressions – Expanding Expressions like 3(x + 5) and Simplifying
Lesson 1.3.4: Solving Simple Algebraic Equations with One Unknown – Solving Linear Equations like x + 5 = 12 and x – 3 = 7
Lesson 1.3.5: Translating Word Problems into Algebraic Expressions and Solving – Creating and Solving Algebraic Equations from Word Problems
Lesson 1.3.6: Using the Distributive Law to Simplify and Expand Algebraic Expressions – More Complex Examples Involving the Distributive Property
Lesson 1.3.7: Introduction to Algebraic Fractions – Simplifying and Performing Basic Operations with Algebraic Fractions
Lesson 1.3.8: Solving Linear Equations with Positive and Negative Coefficients – Solving Equations like 3x – 5 = 16 and x + 4 = 10
Unit 4: Geometry (12 lessons)
Introduction to Unit 4: Geometry (12 lessons) concepts.
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Lesson 1.4.1: Identifying Regular Polygons and Understanding Their Symmetry, Sides, and Angles – Geometric Properties of Regular Shapes
Lesson 1.4.2: Calculating Interior Angles of Regular Polygons – Using the Formula to Find Angles in Regular Shapes (e.g., Pentagons, Hexagons)
Lesson 1.4.3: Working with Triangles: Calculating Angles and Properties – Exploring the Different Types of Triangles (Equilateral, Isosceles, Scalene)
Lesson 1.4.4: Using the Angle Sum Property of Triangles – Calculating Missing Angles in Triangles Based on Angle Sum Property
Lesson 1.4.5: Constructing and Measuring Angles Using a Protractor – Practical Applications of Angle Measurement with Tools
Lesson 1.4.6: Calculating the Area and Perimeter of Rectangles and Squares – Simple Geometric Formulas for 2D Shapes
Lesson 1.4.7: Calculating the Area and Perimeter of Triangles and Parallelograms – Using Area Formulas for Triangles and Parallelograms
Lesson 1.4.8: Exploring Symmetry in 2D Shapes – Identifying Lines of Symmetry and Rotational Symmetry
Lesson 1.4.9: Understanding Circles: Radius, Diameter, and Circumference – Calculating the Circumference and Area of Circles
Lesson 1.4.10: Solving Geometry Problems Involving Angles in Parallel Lines and Transversals – Angle Properties in Parallel Lines
Lesson 1.4.11: Identifying and Solving Problems Involving Reflection and Rotation Symmetry – Practical Geometry Applications
Lesson 1.4.12: Calculating the Area of Compound Shapes (Combination of Rectangles, Triangles) – Solving Complex Area Problems Involving Mixed Shapes
Unit 5: Data Handling and Statistics (12 lessons)
Introduction to Unit 5: Data Handling and Statistics (12 lessons) concepts.
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Lesson 1.5.1: Recording, Organizing, and Representing Data Using Bar Charts and Pie Charts – Introduction to Data Representation
Lesson 1.5.2: Interpreting and Constructing Line Graphs for Data Representation – Drawing and Analyzing Line Graphs from Data
Lesson 1.5.3: Calculating the Mean, Median, Mode, and Range from Data Sets – Understanding the Key Statistical Measures for Central Tendency
Lesson 1.5.4: Comparing Two Data Sets Using Mean, Median, Mode, and Range – Analyzing Differences Between Data Sets
Lesson 1.5.5: Organizing Data Using Frequency Tables and Tally Charts – Collecting and Displaying Data Using Simple Graphical Methods
Lesson 1.5.6: Analyzing Data Using Stem-and-Leaf Plots – Constructing and Interpreting Stem-and-Leaf Diagrams
Lesson 1.5.7: Solving Problems Using Data Represented in Bar Charts, Line Graphs, and Pie Charts
Lesson 1.5.8: Solving Real-World Problems Using Mean, Median, Mode, and Range from Data Sets
Lesson 1.5.9: Understanding the Effect of Sample Size on Data Representation and Analysis
Lesson 1.5.10: Using Graphs and Tables to Analyze Data from Surveys and Experiments
Lesson 1.5.11: Calculating and Interpreting Data from Multi-Component Graphs and Charts
Lesson 1.5.12: Applying Statistical Knowledge to Interpret Data Trends in Real-Life Scenarios (e.g., Sports, Weather)
Unit 6: Probability (8 lessons)
Introduction to Unit 6: Probability (8 lessons) concepts.
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Lesson 1.6.1: Introduction to Key Probability Terms (Likely, Unlikely, Certain, Impossible) – Understanding Basic Probability Vocabulary
Lesson 1.6.2: Calculating Simple Probabilities Using Fractions, Decimals, and Percentages – Probability Formula Application
Lesson 1.6.3: Solving Probability Problems Using Tables, Tree Diagrams, and Venn Diagrams
Lesson 1.6.4: Understanding Mutually Exclusive Events and Their Probabilities
Lesson 1.6.5: Exploring Experimental Probability by Conducting Simple Experiments (e.g., Rolling Dice, Tossing Coins)
Lesson 1.6.6: Analyzing Combined Events Probability (Independent Events) Using Tree Diagrams
Lesson 1.6.7: Solving Real-Life Probability Problems (Games, Lotteries, Predictions)
Lesson 1.6.8: Applying Probability Knowledge in Various Contexts (Weather Forecasts, Games of Chance)
Unit 7: Review and Extension (Optional Focus Areas) (12 lessons)
Introduction to Unit 7: Review and Extension (Optional Focus Areas) (12 lessons) concepts.
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Lesson 2.1.1: Final Review of Integer Operations (Addition, Subtraction, Multiplication, Division) – Comprehensive Practice
Lesson 2.1.2: Reviewing BODMAS and Solving Advanced Order of Operations Problems
Lesson 2.1.3: Mixed Practice on Fractions, Decimals, and Percentages (Conversion and Operations)
Lesson 2.1.4: Advanced Ratio and Proportion Problems with Word Problems
Lesson 2.1.5: Reviewing Algebraic Expressions and Solving Equations with One Unknown
Lesson 2.1.6: Geometry Review: Advanced Problems on Area, Perimeter, and Volume
Lesson 2.1.7: Review of Data Handling: Analyzing and Interpreting Graphs and Tables
Lesson 2.1.8: Probability Review: Solving Advanced Probability Problems
Lesson 2.1.9: Practice with Multi-Step Word Problems in All Topics
Lesson 2.1.10: Problem Solving Week: Applying Concepts to Real-Life Problems (Budgeting, Travel)
Lesson 2.1.11: Final Review of Key Concepts in Integer Operations, Algebra, Geometry, and Probability
Lesson 2.1.12: Final Project: Solving a Real-Life Mathematical Problem (e.g., Event Planning)
Final Review and Assessment Preparation (12 lessons)
Introduction to Final Review and Assessment Preparation (12 lessons) concepts.
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Lesson 2.2.1: Final Review of Integer Operations and Advanced Word Problems
Lesson 2.2.2: Review of Fractions, Decimals, and Percentages for the Final Exam
Lesson 2.2.3: Geometry Section Review: Area, Perimeter, and Volume Problems
Lesson 2.2.4: Algebraic Expressions and Equations Review for the Final Exam
Lesson 2.2.5: Data Handling and Probability Review for the Final Exam
Lesson 2.2.6: Review of Real-Life Applications of Mathematics (e.g., Financial Literacy, Measurement)
Lesson 2.2.7: Final Exam Practice and Time Management Strategies
Lesson 2.2.8: Mock Exam 1: Covering All Units (Number, Algebra, Geometry, Data, Probability)
Lesson 2.2.9: Mock Exam 2: Time-Limited Practice of Word Problems
Lesson 2.2.10: Review of Mock Exam Responses with Class Discussion
Lesson 2.2.11: Focused Revision on Weak Areas from the Mock Exam
Lesson 2.2.12: Final Review of Key Concepts and Problem-Solving Techniques
Final Assessment (4 lessons)
Introduction to Final Assessment (4 lessons) concepts.
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Lesson 2.3.1: Administering the End-of-Year Mathematics Exam (Comprehensive)
Lesson 2.3.2: Reviewing End-of-Year Exam Results and Correcting Mistakes
Lesson 2.3.3: Final Class Discussion on Key Learnings and Future Applications of Mathematics
Lesson 2.3.4: Reflecting on the Year’s Learning Journey and Setting Goals for Future Mathematical Studies
Grade 6 Cambridge Math – Think Smart, Solve Faster

Detailed explanation of Lesson 1.1.13: Solving Multi-Step Integer Problems – Combining Multiple Operations (Addition, Subtraction, Multiplication, Division).

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