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Course Content
Unit 1: Number (16)
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Lesson 1.1.1: Estimating, Adding, and Subtracting Integers – Introduction to Advanced Integer Operations
Lesson 1.1.2: Applying the Order of Operations (BODMAS) in Complex Expressions – Understanding Brackets, Indices, and Operations
Lesson 1.1.3: Multiplying and Dividing Integers – Understanding the Rules for Integer Multiplication and Division
Lesson 1.1.4: Solving Word Problems with Multiple Operations – Real-Life Problems Involving Integer Operations
Lesson 1.1.5: Estimation and Rounding with Integers – Techniques for Estimating Calculations Involving Negative and Positive Numbers
Lesson 1.1.14: Integer Operations and Estimation for Speed and Distance – Calculating Speed, Time, and Distance Using Integer Operations
Lesson 1.1.7: Analyzing and Correcting Common Errors in Integer Operations – Identifying and Correcting Mistakes in Integer Calculations
Lesson 1.1.8: Applying Integer Operations in Context – Problems from Real-Life Scenarios (e.g., Financial Calculations, Temperature Changes)
Lesson 1.1.9: Integer Operations in Financial Mathematics – Solving Problems with Bank Accounts, Profits, and Losses
Lesson 1.1.10: Solving Multi-Step Word Problems Involving Integer Operations – Using Problem-Solving Strategies to Tackle Complex Problems
Lesson 1.1.11: Investigating the Relationship Between Positive and Negative Integers – Exploring Patterns and Properties of Integer Operations
Lesson 1.1.12: Integer Operations in Measurement – Converting and Applying Units of Measurement with Positive and Negative Integers
Lesson 1.1.13: Solving Problems Involving Large Integers – Working with Larger Numbers in Context (e.g., Population, Distance)
Lesson 1.1.15: Word Problems: Estimating Integer Calculations for Budgeting and Financial Planning
Lesson 1.1.16: Integer Operations with Complex Data Sets – Working with Multiple Integer Operations in Large Data Sets
Unit 2: Fractions, Decimals, Percentages, and Ratios (16)
Unit 2: Fractions, Decimals, Percentages, and Ratios (16)
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Lesson 1.2.1: Converting Recurring Decimals to Fractions – Understanding the Conversion of Repeating Decimals to Fractions
Lesson 1.2.2: Converting Fractions to Recurring Decimals – Identifying and Converting Fractions to Recurring Decimal Form
Lesson 1.2.3: Estimating Percentages Greater Than 100% and Less Than 1% – Working with Extreme Percentages and Estimations
Lesson 1.2.4: Adding and Subtracting Mixed Fractions – Combining Whole Numbers and Fractions in Addition and Subtraction
Lesson 1.2.5: Multiplying Fractions and Mixed Numbers – Performing Multiplication with Fractions and Converting Mixed Numbers to Improper Fractions
Lesson 1.2.6: Dividing Fractions and Mixed Numbers – Understanding the Division of Fractions and Converting Mixed Numbers
Lesson 1.2.7: Working with Equivalent Fractions, Decimals, and Percentages – Converting Between All Three Forms for Comparison and Calculation
Lesson 1.2.8: Solving Word Problems Using Fractions, Decimals, and Percentages – Real-Life Applications in Contexts Like Shopping and Discounts
Lesson 1.2.9: Ratios and Proportions – Solving Problems Using the Unitary Method and Direct Proportions
Lesson 1.2.10: Ratios in Geometry – Applying Ratios to Calculate Dimensions, Areas, and Perimeters of Shapes
Lesson 1.2.11: Understanding and Solving Problems Involving Scale Factors and Enlargement – Working with Ratios in Scale Models
Lesson 1.2.12: Solving Complex Ratio Problems Using Fractions and Decimals – Advanced Ratio and Proportion Calculations
Lesson 1.2.13: Real-Life Applications of Percentages – Calculating Percentages for Discounts, Interest Rates, and Tax
Lesson 1.2.14: Solving Word Problems Using Fractions and Percentages – Applying Knowledge to Real-Life Financial Problems
Lesson 1.2.15: Using Ratios to Solve Problems in Cooking and Recipes – Adjusting Recipe Quantities Based on Ratio Calculations
Lesson 1.2.16: Introduction to Compound Percentages – Understanding Percentage Increase and Decrease in Financial Applications
Lesson 1.2.16: Introduction to Compound Percentages – Understanding Percentage Increase and Decrease in Financial Applications
Lesson 1.2.16: Introduction to Compound Percentages – Understanding Percentage Increase and Decrease in Financial Applications
Unit 3: Algebra (12 lessons)
Introduction to Unit 3: Algebra (12 lessons) concepts.
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Lesson 1.3.1: Introduction to Algebraic Expressions and the Concept of Variables – Understanding Variables, Constants, and Coefficients
Lesson 1.3.2: Simplifying Algebraic Expressions Using Addition and Subtraction – Combining Like Terms to Simplify Expressions
Lesson 1.3.3: Expanding Algebraic Expressions Using the Distributive Property – Solving Problems with Distributive Law (e.g., 3(x + 5))
Lesson 1.3.4: Solving Simple Linear Equations with One Unknown – Introduction to Solving Equations like x + 5 = 12
Lesson 1.3.5: Solving Algebraic Equations Involving Fractions – Understanding How to Solve Equations with Fractional Terms
Lesson 1.3.6: Translating Word Problems into Algebraic Expressions – Converting Real-World Problems into Algebraic Equations and Solving Them
Lesson 1.3.7: Simplifying Algebraic Fractions – Combining Fractional Algebraic Terms and Simplifying the Expression
Lesson 1.3.8: Solving Multi-Step Algebraic Equations with Multiple Unknowns – Solving Problems Using Step-by-Step Algebraic Techniques
Lesson 1.3.9: Solving Proportions Using Algebra – Understanding Proportions and Solving for Unknowns in Proportional Problems
Lesson 1.3.10: Graphing Linear Equations on the Coordinate Plane – Plotting Points and Understanding Slope and Intercepts
Lesson 1.3.11: Expanding and Simplifying Algebraic Expressions with Negative Numbers – Advanced Algebraic Expansions
Lesson 1.3.12: Solving Word Problems Using Algebraic Expressions and Equations – Practical Problem-Solving with Algebra in Context
Unit 4: Geometry (12 lessons)
Introduction to Unit 4: Geometry (12 lessons) concepts.
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Lesson 1.4.1: Identifying Types of Angles (Acute, Obtuse, Right) – Understanding Basic Angle Properties
Lesson 1.4.2: Solving Problems Involving Complementary and Supplementary Angles – Finding Missing Angles Using Complementary and Supplementary Rules
Lesson 1.4.3: Exploring the Properties of Quadrilaterals – Identifying Parallelograms, Rectangles, Squares, Trapezoids, and Rhombuses
Lesson 1.4.4: Calculating the Interior Angles of Polygons – Using the Formula (n-2) × 180° to Find Interior Angles
Lesson 1.4.5: Working with Circles – Calculating Circumference and Area Using π
Lesson 1.4.6: Identifying and Working with Symmetry – Exploring Line Symmetry, Rotational Symmetry, and Reflective Symmetry
Lesson 1.4.7: Properties of Triangles – Calculating Area and Perimeter of Different Types of Triangles
Lesson 1.4.8: Exploring 3D Shapes – Identifying Prisms, Pyramids, Spheres, and Cylinders
Lesson 1.4.9: Solving Geometry Problems Involving Perimeter, Area, and Volume – Calculating Area and Volume for Complex Shapes
Lesson 1.4.10: Geometric Constructions – Constructing Triangles, Squares, and Regular Polygons Using Compass and Ruler
Lesson 1.4.11: Understanding and Applying Euler’s Formula for Polyhedra – Relating Faces, Edges, and Vertices of 3D Shapes
Lesson 1.4.12: Real-Life Applications of Geometry – Solving Problems Involving Space, Design, and Architecture
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: Organizing and Representing Data Using Bar Charts and Pie Charts – Drawing and Interpreting Bar and Pie Charts
Lesson 1.5.2: Calculating Measures of Central Tendency – Understanding Mean, Median, Mode, and Range for Data Sets
Lesson 1.5.3: Interpreting Data Using Line Graphs – Analyzing Trends and Changes Over Time Using Line Graphs
Lesson 1.5.4: Constructing and Interpreting Frequency Tables – Organizing Data into Frequency Tables for Analysis
Lesson 1.5.5: Understanding Stem-and-Leaf Plots – Representing Data Using Stem-and-Leaf Diagrams
Lesson 1.5.6: Analyzing Data Sets Using Box Plots – Using Box Plots to Understand Data Distribution
Lesson 1.5.7: Solving Problems Using Data Representations – Real-Life Applications of Graphs and Tables in Decision Making
Lesson 1.5.8: Using Scatter Plots to Analyze Relationships – Plotting Data and Identifying Correlations
Lesson 1.5.9: Comparing Data Sets Using Measures of Spread – Understanding Range, Variance, and Standard Deviation
Lesson 1.5.10: Analyzing Data Using Multi-Component Graphs – Interpreting Data Represented in Multiple Types of Graphs
Lesson 1.5.11: Solving Problems Using Data Sets from Surveys – Analyzing Survey Data and Making Conclusions
Lesson 1.5.12: Using Data to Make Predictions – Applying Statistics to Predict Future Trends
Unit 6: Probability (8 lessons)
Introduction to Unit 6: Probability (8 lessons) concepts.
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Lesson 1.6.1: Understanding Probability Terms (e.g., Likely, Unlikely, Certain) – Introduction to Basic Probability Vocabulary
Lesson 1.6.2: Calculating Simple Probabilities Using Fractions and Percentages – Probability as a Fraction, Decimal, and Percentage
Lesson 1.6.3: Solving Probability Problems Using Tables, Tree Diagrams, and Venn Diagrams – Representing Events and Their Probabilities
Lesson 1.6.4: Understanding and Calculating Mutually Exclusive Events – Solving Problems with Mutually Exclusive Events
Lesson 1.6.5: Exploring Experimental Probability by Conducting Simple Experiments (e.g., Rolling Dice, Tossing Coins)
Lesson 1.6.6: Analyzing Probability Problems with Multiple Events – Using Tree Diagrams and Sample Space Diagrams
Lesson 1.6.7: Solving Real-Life Probability Problems (e.g., Games, Lotteries) – Applying Probability to Everyday Scenarios
Lesson 1.6.8: Calculating the Probability of Compound Events – Understanding Compound Events and Their Probabilities
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: Review of Integer Operations – Comprehensive Practice of Addition, Subtraction, Multiplication, and Division
Lesson 2.1.2: Advanced Order of Operations Practice (BODMAS) – Solving Complex Problems Involving Multiple Operations
Lesson 2.1.3: Reviewing Fraction, Decimal, and Percentage Conversions – Comprehensive Problem-Solving and Practice
Lesson 2.1.4: Advanced Ratio and Proportion Problems with Real-Life Applications – Using Ratios in Cooking, Shopping, and Other Contexts
Lesson 2.1.5: Algebra Review – Solving Word Problems Using Algebraic Expressions and Equations
Lesson 2.1.6: Geometry Review – Advanced Area, Perimeter, and Volume Problems
Lesson 2.1.7: Data Handling Review – Analyzing Graphs and Solving Problems Involving Data
Lesson 2.1.8: Probability Review – Solving Complex Probability Problems Using Experimental and Theoretical Methods
Lesson 2.1.9: Practice with Multi-Step Word Problems – Applying Algebra, Geometry, Data, and Probability Knowledge
Lesson 2.1.10: Project Work: Using Mathematics in Real Life – Solving a Real-Life Problem Using All Topics Learned
Lesson 2.1.11: Final Revision of Key Concepts – Summarizing Important Mathematical Concepts and Strategies
Lesson 2.1.12: Comprehensive Review – Reviewing All Topics for the Final Exam Preparation
Final Review and Assessment Preparation (12 lessons)
Introduction to Final Review and Assessment Preparation (12 lessons) concepts.
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Lesson 2.2.10: Review of Mock Exam Results and Discussions on Solution Strategies
Lesson 2.2.11: Final Review of Key Mathematical Concepts for the End-of-Year Exam
Lesson 2.2.12: Reflection on Learning and Preparing for Future Mathematical Challenges
Lesson 2.2.1: Final Review of Integer Operations and Advanced Word Problems
Lesson 2.2.2: Geometry Review – Final Practice on Area, Perimeter, and Volume Problems
Lesson 2.2.3: Reviewing Data Handling – Solving Problems Involving Graphs and Tables
Lesson 2.2.4: Probability Review – Solving Advanced Probability Problems with Multiple Events
Lesson 2.2.5: Mock Exam Practice – Timed Practice Exam Covering All Topics
Lesson 2.2.6: Reviewing Mock Exam Responses – Correcting Mistakes and Clarifying Concepts
Lesson 2.2.7: Focused Review on Weak Areas from the Mock Exam
Lesson 2.2.8: Final Exam Preparation Strategies – Techniques for Managing Time and Solving Problems Efficiently
Lesson 2.2.9: Mock Exam 2 – Time-Limited Practice of Word Problems and Mathematical Applications
Grade 7 Cambridge Mathematics – Build Confidence, Master Concepts with Arif Sir

Detailed explanation of Lesson 1.4.11: Understanding and Applying Euler’s Formula for Polyhedra – Relating Faces, Edges, and Vertices of 3D Shapes.

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