Course Overview
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This broader mathematics course for class 6 integrates standards and best practices from many international education systems from ICSE, CBSE, GCSE, IGCSE, IB, Common Core and Australia, Canada and New Zealand. The course is designed to develop a strong mathematical foundation, and promote important thinking and problem-solving skills.
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1. Number Systems and Operations
Numbers and Place Value
| Understanding integers and their properties |
| Identifying and representing negative numbers |
| Place value in decimal numbers up to 3 decimal places |
| Converting between fractions, decimals, and percentages |
| Understanding prime numbers, factors, and multiples |
| HCF and LCM using prime factorization |
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2. Arithmetic Operations
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| | Four operations with positive and negative integers |
| Order of operations (BODMAS/PEMDAS) |
| Mental calculation strategies |
| Properties of operations (commutative, associative, distributive) |
| Estimation and rounding techniques |
3. Fractions, Decimals, and Percentages
Fractions
| Equivalent fractions |
| Simplifying fractions |
| Operations with fractions (addition, subtraction, multiplication, division) |
| Mixed numbers and improper fractions |
| Word problems involving fractions |
Decimals
| Place value and ordering decimals |
| Operations with decimals |
| Converting between fractions and decimals |
| Terminating and recurring decimals |
Percentages
| Understanding percentages as parts per hundred |
| Converting between percentages, fractions, and decimals |
| Finding percentages of quantities |
| Percentage increase and decrease |
| Real-life applications of percentages |
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4. Algebra
Introduction to Algebra
| Variables and constants |
| Writing algebraic expressions |
| Simplifying algebraic expressions |
| Like and unlike terms |
| Substitution |
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5. Equations and Inequalities
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| | Simple linear equations |
| Solving equations using balance method |
| Word problems leading to equations |
| Introduction to inequalities |
| Graphing number lines |
6. Geometry and Measurement
2D Geometry
| Types of angles and their properties |
| Properties of triangles and quadrilaterals |
| Circle terminology and properties |
| Symmetry and transformation |
| Construction using compass and ruler |
3D Geometry
| Properties of 3D shapes |
| Nets of 3D shapes |
| Volume and surface area |
| Views of 3D objects |
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7. Measurement
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| | Length, mass, capacity conversions |
| Area of rectangles, triangles, and compound shapes |
| Perimeter of regular and irregular shapes |
| Time calculations and time zones |
| Temperature and negative scales |
8. Data Handling and Statistics
Data Collection and Organization
| Types of data (primary/secondary, qualitative/quantitative) |
| Methods of data collection |
| Frequency tables |
| Tally marks and grouping data |
Data Representation
| Bar graphs and histograms |
| Line graphs |
| Pie charts |
| Pictographs |
| Stem and leaf plots |
Data Analysis
| Mean, median, and mode |
| Range and spread |
| Simple probability |
| Interpretation of graphs and charts |
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9. Ratio, Proportion, and Rate
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| | Understanding ratios |
| Equivalent ratios |
| Direct proportion |
| Scale drawings |
| Speed, distance, and time |
| Unit rates and best buys |
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