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Class 5
Factors and multiples
LCM and HCF (GCD)
Highest common factor (HCF) or Greatest common divisor (GCD)
Class 5
1.
Large numbers
1.1.
Representation of large numbers
1.1.2.
Write large numbers by separating the periods
1.1.2.1.
Write large numbers by separating the periods (Indian number system)
1.1.2.2.
Write large numbers by separating the periods (International number system)
1.1.3.
Large numbers: Write Numerals as Number Names
1.1.3.1.
Large numbers: Write Numerals as Number Names (Indian number system)
1.1.3.2.
Large numbers: Write Numerals as Number Names (International number system)
1.1.4.
Large numbers: Write Number Names as Numerals
1.1.4.2.
Large numbers: Write Number Names as Numerals (International number system)
1.2.
Numbers in Expanded Form
1.2.1.
Convert Numbers to Expanded Form
1.2.2.
Convert Numbers from Expanded Form
1.3.
Successor and Predecessor
1.3.1.
Successor of a Number
1.3.2.
Predecessor of a Number
1.4.
Place value system
1.5.
Form large numbers with given conditions
1.6.
Compare large numbers
1.7.
Whole and natural numbers
2.
Roman Numerals
2.1.
Basic Symbols to Write Roman Numerals
2.2.
Basic Rules to Form Roman Numerals
2.3.
Working with Roman Numerals
2.3.1.
Write Roman Numerals for Hindu-Arabic Numerals
2.3.2.
Write Hindu-Arabic Numerals for Roman Numerals
2.3.3.
Identify Meaningless Roman Numerals
2.3.4.
Compare Roman Numerals
2.3.5.
Basic Arithmetic Using Roman Numerals
2.3.6.
Appreciating Roman Numerals
2.3.7.
Word Problems on Basic Arithmetic Using Roman Numerals
3.
Addition and Subtraction
3.1.
Addition
3.1.1.
Addendum and Sum
3.1.2.
Add numbers
3.1.2.1.
Add two numbers
3.1.2.2.
Add three numbers
3.1.2.3.
Add four numbers
3.1.2.4.
Add five numbers
3.1.2.5.
Add numbers given as number names
3.1.3.
Addition: Fill in missing digits
3.1.3.1.
Fill in the missing digits while adding two numbers
3.1.3.2.
Fill in the missing digits while adding three numbers
3.1.3.3.
Fill in the missing digits while adding four numbers
3.1.3.4.
Fill in the missing digits while adding five numbers
3.1.4.
Properties of Addition
3.1.4.1.
Order Property (Commutative Property) of Addition
3.1.4.2.
Grouping Property (Associative Property) of Addition
3.1.4.3.
Additive Property of Zero
3.1.5.
Word problems on addition
3.1.5.1.
Word problems on addition of two numbers
3.1.5.2.
Word problems on addition of many numbers
3.2.
Subtraction
3.2.1.
Minuend, Subtrahend and Difference
3.2.2.
Subtract numbers
3.2.3.
Subtraction: Fill in the missing digits
3.2.4.
Subtract numbers: Find the missing number in a subtraction sentence
3.2.4.1.
Subtract numbers: Find the subtrahend
3.2.4.2.
Subtract numbers: Find the minuend
3.2.5.
Word Problems on Subtraction
3.2.5.1.
Word Problems on Subtraction of Two Numbers
3.2.5.2.
Word Problems on Subtraction Involving Many Numbers
3.3.
Relate addition and subtraction
3.3.1.
Find the missing addend
3.3.2.
Find the missing subtrahend or minuend
3.4.
Word Problems on Addition and Subtraction
4.
Multiplication and division
4.1.
Multiplication
4.1.2.
Multiply by 10, 100, 1000 etc
4.1.3.
Multiply two numbers
4.1.3.2.
Multiply a number by a three digit number
4.1.3.3.
Multiply a number by a four digit number
4.1.5.
Properties of multiplication
4.1.6.
Word problems on multiplication
4.2.
Division
4.2.1.
Divider, quotient, dividend, and remainder
4.2.2.
Divide by 10, 100, 1000 etc
4.2.3.
Divide two numbers
4.2.3.1.
Divide a number by a 2-digit number (no remainder)
4.2.3.2.
Divide a number by a 3-digit number (no remainder)
4.2.3.3.
Divide a number by a 2-digit number (with remainder)
4.2.3.4.
Divide a number by a 3-digit number (with remainder)
4.2.5.
Properties of division
4.2.6.
Word problems on division
4.3.
Relate multiplication and division
4.3.1.
Relate multiplication and division: Find the missing factor in multiplication sentences
4.4.
Word problems mixing multiplication and division
5.
Mixed operations
5.1.
Simplification: Numerical expressions without brackets (DMAS)
5.2.
Simplification: Numerical expressions with brackets (BODMAS)
5.3.
Mixed operations: Word Problems
6.
Factors and multiples
6.1.
Factors and multiples: Understand the meaning
6.2.
Properties of factors
6.4.
Even and odd numbers
6.5.
Test of divisibility
6.6.
Prime and composite numbers
6.7.
Prime factorization
6.8.
LCM and HCF (GCD)
6.8.1.
Least Common Multiple (LCM)
6.8.2.
Highest common factor (HCF) or Greatest common divisor (GCD)
6.8.3.
Appreciate the concept of LCM and HCF more
6.8.4.
Word problems on LCM and HCF/GCD
7.
Fractions
7.1.
Fractions: Understand the meaning
7.2.
Multiplicative inverse
7.4.
Proper, improper and mixed fractions
7.4.1.
Understand the meaning of proper, improper and mixed fractions
7.4.2.
Convert improper fractions to mixed fractions
7.4.3.
Convert mixed fractions to improper fractions
7.5.
Equivalent fractions
7.6.
Simplest form of a fraction
7.7.
Compare fractions
7.7.1.
Compare like fractions
7.7.2.
Compare unlike fractions
7.8.
Addition and subtraction of fractions
7.8.1.
Addition of fractions
7.8.2.
Subtraction of fractions
7.9.
Multiplication and division of fractions
7.9.1.
Multiplication of fractions
7.9.2.
Division of fractions
7.9.3.
Mixed problems on multiplication and division of fractions
7.10.
Word problems on fractions
8.
Decimals
8.2.
Place value chart
8.3.
Like and unlike decimals
8.4.
Equivalent decimals
8.5.
Comparing decimals
8.6.
Addition and subtraction of decimals
8.6.1.
Addition of decimals
8.6.2.
Subtraction of decimals
8.6.3.
Mixed operations on decimals: Addition and subtraction
8.6.4.
Word problems on addition and subtraction of decimals
8.7.
Relate decimals to fractions
8.7.1.
Convert decimals to fractions
8.7.1.1.
Convert decimals to improper fractions
8.7.2.
Convert fractions to decimals
8.7.2.1.
Convert improper fractions to decimals
8.7.2.2.
Convert mixed fractions to decimals
8.8.
Multiplication and division of decimals
8.8.1.
Multiplication of decimals
8.8.1.1.
Multiplying a decimal by 10, 100, 1000 etc
8.8.1.2.
Multiplying a decimal by a whole number
8.8.1.3.
Multiplication of two decimals
8.8.1.4.
Word problems on multiplication of decimals
8.8.2.
Division of decimals
8.8.2.1.
Division of a decimal by 10, 100, 1000 etc
8.8.2.2.
Divide a whole number by a decimal
8.8.2.3.
Divide a decimal by a whole number
8.8.2.4.
Divide a decimal with another decimal
8.8.2.5.
Word problems on division of decimals
8.9.
Mixed operations with decimals
8.10.
Word problems on mixed operations with decimals
9.
Ratio and proportion
9.2.
Proportion
10.
Rounding
10.1.
Rounding off to the nearest ten
10.2.
Rounding off to the nearest hundred
10.4.
Rounding off large numbers
10.5.
Rounding off the decimals
12.
Percentage
12.1.
Understanding Percentages
12.2.
Convert fractions to percentages
12.3.
Convert fractions to percentage fractions
12.4.
Convert the fraction representation of a percentage to the decimal form
12.5.
Numerical operations involving percentages
12.6.
Word problems on percentages
13.
Unitary Method
14.
Measurement
14.1.
Measurement of Length
14.1.1.
Metric Units of Length
14.1.3.
Addition of Lengths
14.1.3.1.
Addition of Lengths Given in Metres and Centimeters
14.1.5.
Multiplying lengths by a whole number
14.1.6.
Word Problems on Length
14.1.6.1.
Word Problems Involving Addition of Length Measurements
14.1.6.2.
Word Problems Involving Subtraction of Length Measurements
14.1.6.3.
Word Problems Involving Both Addition and Subtraction of Length Measurements
14.1.6.5.
Word Problems Involving Division of Length Measurements
14.1.6.6.
Word Problems Involving Mixed Operations on Length Measurements
14.2.
Measurement of Weight
14.2.3.
Compare and Convert Metric Units of Weight
14.2.3.2.
Convert lower units of weight to higher units
14.2.6.
Word Problems on Weight
14.2.6.2.
Word Problems Involving Subtraction of Weights
14.2.6.4.
Word problems involving division of weights
14.2.6.5.
Word Problems Involving Mixed Operations on Weights
14.3.
Measurement of Capacity/Volume
14.3.1.
Metric Units of Capacity/Volume
14.3.3.
Compare and Convert Metric Units of Capacity/Volume
14.3.3.1.
Convert higher units of capacity/volume to lower units
14.3.5.
Word Problems on Capacity/Volume
14.3.5.1.
Word Problems Involving Addition of Capacities/Volumes
14.3.5.3.
Word Problems Involving Both Addition and Subtraction of Capacities/Volumes
14.3.5.4.
Word Problems Involving Mixed Operations on Capacities/Volumes
15.
Time
15.1.
24-hour Clock Time
15.3.
Convert from One Unit of Time to Other
15.3.3.
Convert Hours to Seconds
15.3.6.
Convert Minutes to Seconds
15.4.
Addition and subtraction of time
15.5.
Dates
15.5.1.
Addition and subtraction of dates
15.6.
Word problems on time
16.
Money
16.1.
Convert to Paise
16.1.1.
Convert Rupees to Paise
16.1.2.
Convert 'Rupees and Paise' to Paise
16.1.3.
Convert Amount in Figures to Paise
16.7.
Word problems on money
16.7.3.
Word Problems on Money Involving Both Addition and Subtraction
16.7.5.
Word Problems on Money Involving a Mix of Addition, Subtraction, and Multiplication by a Whole Number
16.7.6.
Word problems on money involving division
16.8.
Money transactions
16.8.1.
Understand cost price, selling price, profit and loss
16.8.2.
Word problems on simple money transactions
16.8.3.
Calculate profit or loss
16.8.4.
Word problems on cost price, selling price, discounts, profit and loss
17.
Geometry
17.1.
Plane, Point, Line Segment, Line and Ray
17.1.1.
Definition of a plane
17.1.2.
Definition of a Point
17.1.3.
Definition of a Line Segment
17.1.4.
Definition of a Line
17.1.5.
Definition of a Ray
17.1.6.
More on place, point, line segment, line and ray
17.2.
Angles
17.2.1.
The concept of angles
17.2.2.
Naming an angle
17.2.3.
Comparison of angles
17.2.4.
Measuring angles
17.2.5.
Classification of angles
17.2.6.
Pairs of related angles
17.2.8.
More about angles
17.3.
Parallel and perpendicular lines
17.3.1.
Intersecting lines
17.3.2.
Parallel lines
17.3.3.
Perpendicular lines
17.3.4.
Set squares
17.4.
Shapes and Curves
17.5.
Triangles
17.5.2.
The concept of a triangle
17.5.3.
Classify triangles according to sides
17.5.4.
Classify triangles according to angles
17.5.5.
Angles of a triangle
17.5.6.
Sides of a triangle
17.6.
Circles
17.6.2.
Center of a circle
17.6.3.
Radius and diameter of a circle
17.6.4.
Circumference of a circle
17.6.5.
The interior and the exterior of a circle
17.6.6.
The concept of a semi-circle
17.6.7.
Chords of a circle
17.6.8.
Arcs in a circle
17.7.
Area and perimeter
17.7.1.
Understand the concept of perimeter
17.7.2.
Perimeter of a triangle
17.7.3.
Perimeter of a rectangle and a square
17.7.4.
Perimeter of rectilinear figures
17.7.5.
Perimeter of polygons
17.7.6.
Understand the concept of area
17.7.7.
Area of a square and a rectangle
17.7.8.
Area of rectilinear figures and quadrilaterals
17.7.9.
Calculate circumference of circles
17.7.10.
Word problems on area and perimeter
17.7.10.1.
Word problems on area and perimeter of squares and rectangles
17.8.
Solids
17.8.2.
Cuboid
17.8.3.
Cube
18.
Data Handling
18.2.
Pictographs
18.2.3.
Interpreting Pictographs
18.3.
Tables
18.4.
Tally Marks
18.4.1.
Collect Data Using Tally Marks
18.5.
Bar Graphs
18.5.1.
Interpreting Bar Graphs
20.
Logical Reasoning
Class 5 NCERT (CBSE and ICSE)
Highest common factor (HCF) or Greatest common divisor (GCD)
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