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Class 5
Multiplication and Division (Ways to Multiply and Divide)
Division
Long Division
Divide a number by a 3-digit number (no remainder)
Class 5
1.
Roman Numeral (up to 1000) *
1.1.
Introduction to Roman Numerals
1.2.
Write Roman Numerals for Hindu-Arabic Numerals
1.3.
Write Hindu-Arabic Numerals for Roman Numerals
1.4.
Meaningless Roman Numerals
1.5.
Compare Roman Numerals
1.6.
Operations on Roman Numerals
1.7.
Word Problems on Basic Arithmetic Using Roman Numerals
2.
Time *
2.1.
24-Hour Clock Time
2.1.1.
Understanding 24-Hour Clock Time
2.1.2.
Conversion from 24-Hour Clock Time to 12-Hour Clock Time
2.1.3.
Conversion from 12-Hour Clock Time to 24-Hour Clock Time
2.2.
Use of 'AM' and 'PM'
2.3.
Relate Year, Month, Week, Days, Hours, Minutes, and Seconds
2.4.
Addition and Subtraction of Time
2.4.1.
Addition of Time
2.4.2.
Subtraction of Time
2.4.3.
Word Problems on Time
3.
Money *
3.1.
Conversion of Money
3.1.1.
Convert Rupees to Paise
3.1.2.
Convert Paise to Rupees
3.2.
Addition and Subtraction of Money
3.2.1.
Addition of Money
3.2.2.
Subtraction of Money
3.3.
Multiplication and Division of Money
3.3.1.
Multiplication of Money by a Whole Number
3.3.2.
Division of Money by a Whole Number
3.4.
Word problems on Money
3.4.1.
Word Problems on Addition and Subtraction of Money
3.4.2.
Word Problems on Multiplication and Division of Money by a Whole Number
3.4.3.
Word Problems on Money Involving a Mixed Operations on Money
4.
Geometry *
4.1.
Understand the Basic Terms in Geometry (Point, Line, line segment, ray, and Plane)
4.2.
Types of Lines
4.2.1.
Parallel Lines
4.2.2.
Perpendicular Lines
4.2.3.
Intersecting Lines
4.2.4.
Identifying the Type of Line
4.3.
Set Squares
4.4.
Collinear and Non-Collinear Points
4.5.
Triangles
4.5.1.
Introduction to Triangles
4.5.2.
Various Types of Triangles by Considering the Lengths of their Sides
4.5.3.
Various Types of Triangles by Considering their Angles
4.5.4.
The Possibility of Forming a Triangle with Sides of Given Lengths
4.5.5.
Angle Sum Property of a Triangle
4.6.
Circle
4.6.1.
Terms Related to a Circle
4.6.2.
Relationship Between Radius and Diameter of a Circle
4.6.3.
Interior and Exterior of a Circle
5.
Measurement *
5.1.
Measurement of Length
5.1.1.
Conversion of Metric Units of Length
5.1.1.1.
Conversion from Higher to Lower Units of Length
5.1.1.2.
Conversion from Lower to Higher Units of Length
5.1.2.
Addition and Subtraction of Lengths
5.1.2.1.
Addition of Lengths
5.1.2.1.1.
Addition of Lengths Given in Meters and Centimeters
5.1.2.1.2.
Addition of Lengths Given in Kilometers and Meters
5.1.2.2.
Subtraction of Lengths
5.1.2.2.1.
Subtraction of Lengths Given in Meters and Centimeters
5.1.2.2.2.
Subtraction of Lengths Given in Kilometers and Meters
5.1.3.
Multiplication and Division of Lengths Measure
5.1.3.1.
Multiplication of Lengths
5.1.3.2.
Division of Lengths
5.1.4.
Word Problems on Length
5.1.4.1.
Word Problems on Addition and Subtraction of Lengths
5.1.4.2.
Word Problems on Multiplication and Division of Lengths
5.2.
Measurement of Weight
5.2.1.
Conversion of Metric Units of Weight
5.2.1.1.
Conversion from Higher to Lower Units of Weight
5.2.1.2.
Conversion from Lower to Higher Units of Weight
5.2.2.
Addition and Subtraction of Weights
5.2.2.1.
Addition of Weights
5.2.2.1.1.
Addition of Weights in Grams and Milligrams
5.2.2.1.2.
Addition of Weights in Kilograms and Grams
5.2.2.2.
Subtraction of Weights
5.2.2.2.1.
Subtraction of Weights in Grams and Milligrams
5.2.2.2.2.
Subtraction of Weights in Kilograms and Grams
5.2.3.
Multiplication and Division of Weights
5.2.3.2.
Division of Weights
5.2.4.
Word Problems on Weight
5.2.4.1.
Word Problems on Addition and Subtraction of Weights
5.2.4.2.
Word Problems on Multiplication and Division of Weights
5.3.
Measurement of Capacity
5.3.1.
Conversion of Metric Units of Capacity
5.3.1.1.
Conversion from Higher to Lower Units of Capacity
5.3.1.2.
Conversion from Lower to Higher Units of Capacity
5.3.2.
Addition and Subtraction of Capacity
5.3.2.1.
Addition of Capacity in Liters and Milliliters
5.3.2.2.
Subtraction of Capacity in Liters and Milliliters
5.3.3.
Multiplication and Division of Capacity
5.3.3.1.
Multiplication of Capacity
5.3.3.2.
Division of Capacity
5.3.4.
Word Problems on Capacity
5.3.4.1.
Word Problems on Addition and Subtraction of Capacity
5.3.4.2.
Word Problems on Multiplication and Division of Capacity
6.
Large Numbers (The Fish Tale)
6.1.
Representation of Large Numbers
6.1.1.
Write Large Numbers by Separating the Periods
6.1.1.1.
Write Large Numbers by Separating the Periods (Indian Number System)
6.1.1.2.
Write Large Numbers by Separating the Periods (International Number System)
6.1.2.
Write Numerals as Number Names
6.1.2.1.
Write Numerals as Number Names (Indian Number System)
6.1.2.2.
Write Numerals as Number Names (International Number System)
6.1.3.
Write Number Names as Numerals
6.1.3.1.
Write Number Names as Numerals (Indian Number System)
6.1.3.2.
Write Number Names as Numerals (International Number System)
6.1.4.
Relation Between Different Periods
6.1.4.1.
Relation Between Different Periods (Indian Number System)
6.1.4.2.
Relation Between Different Periods (International Number System)
6.1.5.
Numbers in Expanded Form
6.2.
Successor and Predecessor
6.2.1.
Successor of a Number
6.2.2.
Predecessor of a Number
6.3.
n
Digit Numbers
6.4.
Place of a Digit
6.5.
Compare Large Numbers
6.6.
Operations on Large Numbers
6.6.1.
Addition of Large Numbers
6.6.2.
Subtraction of Large Numbers
6.6.3.
Multiplication of Large numbers
6.6.4.
Division of Large Numbers
6.6.5.
Word Problem on Operations on Large Numbers
6.6.5.1.
Word Problem on Addition of Large Numbers
6.6.5.2.
Word Problem on Subtraction of Large Numbers
6.6.5.3.
Word Problem on Multiplication of Large Numbers
6.6.5.4.
Word Problem on Division of Large Numbers
7.
Shapes and Angles
7.1.
Introduction to Angles
7.2.
Interior And Exterior Of An Angle
7.3.
Finding the Number of Angles in the Given Figure
7.4.
Types of an Angle
7.5.
Measuring an Angle by a Protractor
7.6.
Complementary and Supplementary Angles
8.
Area on a Square Grid (How Many Squares?)
8.1.
Area of a Figure on a Square Grid
8.2.
Area of a Square/Rectangle on a Square Grid
8.3.
Area of a Triangle on a Square Grid
8.4.
Area of a Quadrilateral on a Square Grid
8.5.
Area of Shapes Made up of Rectangles on square grid
9.
Fractions (Parts and Wholes)
9.1.
Like and Unlike Fractions
9.2.
Unit Fraction
9.3.
Proper, Improper and Mixed Fractions
9.3.1.
Understand the Meaning of Proper, Improper and Mixed Fractions
9.3.2.
Convert Improper Fractions to Mixed Fractions
9.3.3.
Convert Mixed Fractions to Improper Fractions
9.4.
Equivalent Fractions
9.5.
Simplest Form of a Fraction
9.6.
Compare Fractions
9.6.1.
Compare Fractions with Like Denominators
9.6.2.
Compare Fractions with Like Numerators
9.6.3.
Compare Fractions with Unlike Denominators and Unlike Numerators
9.7.
Addition and Subtraction of Fractions
9.7.1.
Addition of Fractions
9.7.1.1.
Addition of Like Fractions
9.7.1.2.
Addition of Unlike Fractions
9.7.1.3.
Addition of Mixed Fractions
9.7.2.
Subtraction of Fractions
9.7.2.1.
Subtraction of Like Fractions
9.7.2.2.
Subtraction of Unlike Fractions
9.7.2.3.
Subtraction of Mixed Fractions
9.7.3.
Simplify Expressions Involving Addition and Subtraction
9.8.
Multiplication and Division of Fractions
9.8.1.
Multiplication of Fractions
9.8.1.1.
Multiplication of a Fraction by a Whole Number
9.8.1.2.
Multiplication of a Fraction by a Fraction
9.8.1.3.
Use of 'OF'
9.8.2.
Division of Fractions
9.8.2.1.
Multiplicative Inverse or Reciprocal of a Fraction
9.8.2.2.
Division of a Fraction by a Fraction
9.8.2.3.
Division of a Fraction by a Whole Number
9.8.2.4.
Division of a Whole Number by a Fraction
9.9.
Word Problems on Fractions
9.9.1.
Word Problems on Forming Fractions
9.9.2.
Word Problems on Addition and Subtraction of Fractions
9.9.3.
Word Problems on Multiplication and Division of Fractions
10.
Symmetry (Does it Look the Same)
10.1.
Introduction to Symmetry
10.2.
Identifying Mirror Halves
10.3.
Symmetry Around Us
10.4.
Symmetry in Geometric Figures
10.5.
Symmetry in Alphabets
10.6.
Symmetry in Numerals
11.
Factors and Multiples (Be My Multiple,I'llbe Your Factor)
11.1.
Factors and Multiples of a Number
11.1.1.
Finding Factors of a Number
11.1.2.
Finding Multiples of a Number
11.1.3.
Word Problems on Factors and Multiples
11.1.4.
Properties of Factors and Multiples
11.1.5.
Types of Numbers
11.1.5.1.
Odd and Even Numbers
11.1.5.1.1.
Even numbers
11.1.5.1.2.
Odd numbers
11.1.5.1.3.
Properties of Odd and Even numbers
11.1.5.2.
Prime and Composite Numbers
11.1.5.2.1.
Definition
11.1.5.2.2.
Composite Numbers
11.1.5.2.3.
Prime Numbers
11.1.5.2.4.
Properties of Composite and Prime
11.1.5.3.
Twin Primes
11.1.5.4.
Co-Primes
11.2.
Tests of Divisibility
11.2.1.
Test Divisibility by 2
11.2.2.
Test Divisibility by 3
11.2.3.
Test Divisibility by 4
11.2.4.
Test Divisibility by 5
11.2.5.
Test Divisibility by 6
11.2.6.
Test Divisibility by 7
11.2.7.
Test Divisibility by 8
11.2.8.
Test Divisibility by 9
11.2.9.
Test Divisibility by 10
11.2.10.
Test Divisibility by 11
11.3.
Prime Factors of a Number
11.3.1.
By Hit and Trial Method
11.3.2.
By Factor Tree Method
11.3.3.
By Prime Factorization
11.4.
HCF and LCM
11.4.1.
HCF (Highest Common Factor)
11.4.2.
LCM (Lowest Common Multiple)
11.4.3.
Properties of LCM and HCF
11.4.4.
Word Problems on HCF and LCM
12.
Pattern (Can You See the Pattern?)
12.1.
Turns and Patterns
12.2.
Magic Square
12.3.
Number Patterns
13.
Mapping Your Way
13.1.
Directions
13.2.
Reading Maps
13.2.2.
Distances on Map
14.
Three Dimentional Geometry (Boxes and Sketches)
14.1.
Identify Different Solid Shapes (Cuboid, Cube, Cone, Cylinder, Sphere, Prism, and Pyramids)
14.2.
Solid Shapes Around Us
14.3.
Vertices, Edges and Faces of Solid Objects
14.4.
Net of a 3-D Shape
15.
Decimal (Tenths and Hundredths)
15.1.
Reading a Decimal Number
15.2.
Place Value Chart
15.3.
Pictorial Representation of a Decimal Number
15.4.
Expanded Form of Decimal Numbers
15.5.
Like and Unlike Decimals
15.6.
Comparing Decimals
15.7.
Ordering Decimals
15.8.
Relate Decimals and Fractions
15.8.1.
Convert Decimals to Fractions
15.8.1.1.
Convert Decimals to Proper Fractions
15.8.1.2.
Convert Decimals to Improper Fractions
15.8.1.3.
Convert Decimals to Mixed Fractions
15.8.2.
Convert Fractions to Decimals
15.8.2.1.
Convert Fractions with Denominators as Powers of 10 to Decimals
15.8.2.2.
Convert Any Fractions to Decimals
15.9.
Operations on Decimals
15.9.1.
Addition and Subtraction of Decimals
15.9.1.1.
Addition of Decimals
15.9.1.2.
Subtraction of Decimals
15.9.1.3.
Mixed Operations on Decimals: Addition and Subtraction
15.9.1.4.
Word problems on Addition and Subtraction of Decimals
15.10.
Multiplication and Division of Decimals
15.10.1.
Multiplication of Decimals
15.10.1.1.
Multiplying a Decimal by 10, 100, 1000 etc
15.10.1.2.
Multiplying a Decimal by a Whole Number
15.10.1.3.
Multiplication of Two/Three Decimals
15.10.2.
Division of Decimals
15.10.2.1.
Division of a Decimal by 10, 100, 1000 etc
15.10.2.2.
Division of a Decimal by a Multiple of 10, 100, 1000 etc
15.10.2.3.
Division of a Decimal by a Whole Number
15.10.2.4.
Division of a Decimal by a Decimal
15.10.2.5.
Division of a Whole Number by a Decimal
15.10.3.
Word Problems on Multiplication and Division of Decimals
15.10.4.
Word problems on Mixed Operations on Decimals
16.
Area and its Boundary
16.1.
Understanding the Concept of Perimeter
16.2.
Perimeter of a Triangle
16.3.
Perimeter of Polygons
16.4.
Area and Perimeter of a Square
16.5.
Area and Perimeter of a Rectangle
16.6.
Rectangles With Same Area and Different Perimeter
17.
Data Handling (Smart Charts)
17.1.
Tally Marks
17.1.1.
Collect Data Using Tally Marks
17.2.
Bar Graphs
17.2.1.
Drawing Bar Graphs
17.2.2.
Interpreting Bar Graphs
17.3.
Tabular Representation of Data
17.4.
Pie Charts
18.
Multiplication and Division (Ways to Multiply and Divide)
18.1.
Multiplication
18.1.1.
Multiplication - Properties and Facts
18.1.1.1.
Order Property of Multiplication
18.1.1.2.
Grouping Property of Multiplication
18.1.1.3.
Multiplicative Property of One
18.1.1.4.
Multiplicative Property of Zero
18.1.1.5.
Distributive Property of Multiplication over Addition
18.1.1.6.
Identify the Property of Multiplication
18.1.2.
Multiplication by Multiples of 10
18.1.2.1.
Multiplication by 10, 100, and 1000
18.1.2.2.
Multiplication by a Multiple of 10, 100, and 1000
18.1.2.3.
Mixed Problems on Multiplication by Multiples of 10
18.1.3.
Multiplication by 2-Digit Numbers
18.1.3.1.
Multiplication: 2-Digit by 2-Digit
18.1.3.2.
Multiplication: 3-Digit by 2-Digit
18.1.4.
Multiplication by 3-Digit Numbers
18.1.4.1.
Multiplication: 3-Digit by 3-Digit
18.1.4.2.
Multiplication: 4-Digit by 3-Digit
18.1.5.
Word Problems on Multiplication
18.2.
Division
18.2.1.
Divider, Quotient, Dividend, and Remainder
18.2.2.
Divide by 10, 100, 1000 etc
18.2.3.
Divide by Multiples of 10, 100, 1000 etc
18.2.4.
Long Division
18.2.4.1.
Divide a number by a 2-digit number (no remainder)
18.2.4.2.
Divide a number by a 3-digit number (no remainder)
18.2.4.3.
Divide a number by a 2-digit number (with remainder)
18.2.4.4.
Divide a number by a 3-digit number (with remainder)
18.2.5.
Division - Properties and Facts
18.2.5.1.
Division by One
18.2.5.2.
Division by the Number Itself
18.2.5.3.
Division by Zero
18.2.5.4.
Dividing Zero by a Number
18.2.6.
Word Problems on Division
19.
Volume (How Big? How Heavy?)
19.1.
Volume of Cuboid
19.2.
Volume of Cube
19.3.
Word Problems on Volume of Cube and Cuboid
Class 5 NCERT (CBSE and ICSE)
Divide a number by a 3-digit number (no remainder)
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