Topics
Number System
Number System(Consolidating the Sense of Numberness)
Theme 1 : Numbers
Number System (Including Estimation and Approximation)
Estimation
Theme 2 : Ratio, Proportion and Arithmetic Problems
Ratio and Proportion
Numbers in Indian and International Systems (With Comparison)
Numbers in India and International System (With Comparison)
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Algebra
Theme 3 : Algebra
Geometry
Place Value
Negative Numbers and Integers
Theme 4 : Geometry
Natural Numbers and Whole Numbers (Including Patterns)
Theme 5 : Mensuration
Sets
Mensuration
Data Handling
Fractions
Theme 6 : Statistics
Negative Numbers and Integers
Number Line
Decimal Fractions
HCF and LCM
Playing with Numbers (Including H.C.F. and L.C.M.)
Playing with Numbers
- Simplification of Brackets
- Finding Factors Using Rectangular Arrangements and Division
- Factors and Common Factors
- Multiples and Common Multiples
- Concept of Even and Odd Number
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 4
- Divisibility by 8
- Divisibility by 3
- Divisibility by 6
- Divisibility by 9
- Divisibility by 5
- Divisibility by 11
Ratio and Proportion (Including Unitary Method)
Sets
Percent (Percentage)
Idea of Speed, Distance and Time
Ratio
Proportion (Including Word Problems)
Fundamental Concepts (With operations on Algebraic Expressions)
Framing Algebraic Expressions (Including Substitution and Linear Equations)
Unitary Method
Fractions
- Concept of Fraction
- Types of Fractions
- Concept of Proper and Improper Fractions
- Concept of Mixed Fractions
- Like and Unlike Fraction
- Concept of Equivalent Fractions
- Conversion between Improper and Mixed fraction
- Conversion between Unlike and Like Fractions
- Simplest Form of a Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Division of Fractions
- Using Operator 'Of' with Multiplication and Division
- BODMAS Rule
- Problems Based on Fraction
Fundamental Concepts (Including Angles and their Properties)
Decimal Fractions
Triangles (Including Types and Properties of Triangles)
Quadrilaterals
Percent (Percentage)
Circles
Idea of Speed, Distance and Time
Fundamental Concepts
Symmetry
Constructions
Fundamental Operations (Related to Algebraic Expressions)
Recognition of Solids
Substitution (Including Use of Brackets as Grouping Symbols)
Perimeter and Area of Plane Figures
Framing Algebraic Expressions (Including Evaluation)
Data Handling (Including Mean and Median)
Simple (Linear) Equations (Including Word Problems)
Fundamental Concepts
Angles (With Their Types)
Properties of Angles and Lines (Including Parallel Lines)
Triangles (Including Types, Properties and Constructions)
Quadrilateral
Polygons
The Circle
Symmetry (Including Constructions on Symmetry)
Recognition of Solids
Perimeter and Area of Plane Figures
Data Handling (Including Pictograph and Bar Graph)
Mean and Median
- Introduction
- Currency - Rupees and Paise
- Examples of Currency Conversion
- Measuring Lengths
- Examples of Length Conversion
- Measuring Weights (Mass)
- Examples of Weight Conversion
- Real-Life Application
- Key Points Summary
Introduction
Every day, you use measurements without even thinking about it! Understanding how to read, convert, and use these units is important whether you buy your favourite snacks, measure how tall you've grown, or help Mom weigh ingredients for cooking.
Currency - Rupees and Paise
Let's Start Simple:
Think of money like a pizza!
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The whole pizza = 1 Rupee (₹)
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Each slice = 1 Paisa (P)
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The pizza has exactly 100 slices (100 paise = 1 rupee)
Step-by-Step Method:
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Count your rupees → Write them before the dot
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Count your paise. → Write them after the dot
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If paise is less than 10, add a zero in front!
Examples of Currency Conversion
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₹14 and 42 paise = ₹14.42
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₹3 and 8 paise = ₹3.08 (Notice the zero!)
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Only 5 paise = ₹0.05 (No rupees, so we write 0)
Measuring Lengths
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The metre (m) is the standard unit of length.
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1 meter = 100 centimeters (cm)
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For smaller lengths, we use millimetres (mm).
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For larger lengths, we use kilometres (km).
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To write in decimals: meters.centimeters
Easy Trick: To convert cm to m, move the decimal point 2 places left!
Unit Conversions:
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10 millimeters (mm) = 1 centimetre (cm)
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10 centimeters (cm) = 1 decimetre (dm)
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100 centimeters = 10 decimeters (dm) = 1 metre (m)
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10 meters (m) = 1 decametre (dam)
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10 dam = 1 hectometer (hm)
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1000 meters = 10 hm = 1 kilometre (km)
Examples of Length Conversion
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3 m 58 cm = 3.58 m
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7 m 8 cm = 7.08 m
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250 cm = 2.50 m
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63 cm = 0.63 m
Measuring Weights (Mass)
Unit Conversions:
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1 kilogram = 1000 grams
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In decimals: kilograms.grams (as decimal)
Super Trick: To convert grams to kg, move the decimal point 3 places left!
Examples of Weight Conversion
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1 kg 546 g = 1.546 kg
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5 kg 68 g = 5.068 kg
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64 kg 5 g = 64.005 kg
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875 g = 0.875 kg
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1546 g = 1.546 kg
Real-Life Application
At the Grocery Store:
- Rice packet: ₹45 and 50 paise = ₹45.50
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Apple weight: 2 kg 300 g = 2.300 kg
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Ribbon length: 3 m 25 cm = 3.25 m
Key Points Summary
Money (Currency):
- 100 paise = 1 rupee
- Format: ₹rupees.paise
- Always use 2 digits after the decimal for paise
- If paise < 10, add zero in front (₹5.05 not ₹5.5)
Length:
- 100 cm = 1 meter
- Format: metres.centimetres
- To convert cm to m: divide by 100
- To convert m to cm: multiply by 100
Weight:
- 1000 g = 1 kilogram
- Format: kilograms.grams (as decimal)
- To convert g to kg: divide by 1000
- To convert kg to g: multiply by 1000
