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Grade 4
Division
Long Division
Grade 4
1.
Numbers (5-Digit and 6-Digit)
1.1.
Representation of Large Numbers
1.1.1.
Write Large Numbers by Separating the Periods
1.1.2.
Write Numerals as Number Names
1.1.3.
Write Number Names as Numerals
1.2.
Forming Numbers
1.3.
Place Value and Face Value of a Digit in a Numeral
1.4.
Expanded Form of a Number
1.5.
Successor and Predecessor
1.5.1.
Successor of a Number
1.5.2.
Predecessor of a Number
1.6.
Compare and Order Numbers
1.6.1.
Compare Numbers With Same Number of Digits
1.6.2.
Compare Numbers With Different Number of Digits
2.
Roman Numerals (up to 100)
2.1.
Introduction to Roman Numerals
2.2.
Write Roman Numerals for Natural Numbers
2.3.
Write Natural Numbers for Roman Numerals
2.4.
Meaningless Roman Numerals
2.5.
Compare Roman Numerals
2.6.
Operations on Roman Numerals
3.
Addition
3.1.
Addend and Sum
3.2.
Add Five-Digit Numbers
3.2.1.
Add Two Five-Digit Numbers (Without Carrying)
3.2.2.
Add Three or More Five-Digit Numbers (Without Carrying)
3.2.3.
Add Two Five-Digit Numbers (With Carrying)
3.2.4.
Add Three or More Five-Digit Numbers (With Carrying)
3.3.
Add Six-Digit Numbers
3.3.1.
Add Two Six-Digit Numbers (Without Carrying)
3.3.2.
Add Three or More Six-Digit Numbers (Without Carrying)
3.3.3.
Add Two Six-Digit Numbers (With Carrying)
3.3.4.
Add Three or More Six-Digit Numbers (With Carrying)
3.4.
Find the Missing Digit While Adding Numbers
3.5.
Addition - Properties and Facts
3.5.1.
Order/Commutative Property of Addition
3.5.2.
Grouping/Associative Property of Addition
3.5.3.
Addition Property of Zero
3.6.
Word Problems on Addition
4.
Subtraction
4.1.
Minuend, Subtrahend and Difference
4.2.
Subtract Five-Digit Numbers
4.2.1.
Subtract Five-Digit Numbers (Without Borrowing)
4.2.2.
Subtract Five-Digit Numbers (With Borrowing)
4.3.
Subtract Six-Digit Numbers
4.3.1.
Subtract Six-Digit Numbers (Without Borrowing)
4.3.2.
Subtract Six-Digit Numbers (With Borrowing)
4.4.
Subtraction - Properties and Facts
4.4.1.
Subtraction Property of Zero
4.4.2.
Subtraction of One
4.4.3.
Subtraction by Itself
4.5.
Word Problems on Subtraction
5.
Addition and Subtraction
5.1.
Add and Subtract 2-Digit and 3-Digit Numbers
5.2.
Balance Sentences - Addition and Subtraction (up to 999)
5.3.
Write Number Sentence (For the Given Story)
5.4.
Word Problems Involving Both Addition and Subtraction
6.
Multiplication
6.1.
Multiplicand, Multiplier and Product
6.2.
Multiplication - Properties and Facts
6.2.1.
Order Property of Multiplication
6.2.2.
Grouping/Associative Property of Multiplication
6.2.3.
Multiplicative Property of One
6.2.4.
Multiplicative Property of Zero
6.2.5.
Distributive Property of Multiplication over Addition
6.2.6.
Identify the Property of Multiplication
6.3.
Multiplication by Multiples of 10
6.3.1.
Multiplication by 10, 100, and 1000
6.3.2.
Multiplication by a Multiple of 10, 100, and 1000
6.3.3.
Mixed Problems on Multiplication by Multiples of 10
6.4.
Multiplication by 2-Digit Numbers
6.4.1.
Multiplication: 3-Digit by 2-Digit
6.4.2.
Multiplication: 4-Digit by 2-Digit
6.5.
Multiplication by 3-Digit Numbers
6.5.1.
Multiplication: 3-Digit by 3-Digit
6.5.2.
Multiplication: 4-Digit by 3-Digit
6.6.
Word Problems on Multiplication
7.
Division
7.1.
Divider, Quotient, Dividend, and Remainder
7.2.
Divide by 10, 100, 1000 etc
7.3.
Divide by Multiples of 10, 100, 1000 etc
7.4.
Long Division
7.4.1.
Divide a Number by a 1-digit Number (No Remainder)
7.4.2.
Divide a Number by a 2-digit Number (No Remainder)
7.4.3.
Divide a Number by a 1-digit Number (With Remainder)
7.4.4.
Divide a Number by a 2-digit Number (With Remainder)
7.5.
Division - Properties and Facts
7.5.1.
Division by One
7.5.2.
Division by the Number Itself
7.5.3.
Division by Zero
7.5.4.
Dividing Zero by a Number
7.6.
Word Problems on Division
8.
Factors and Multiples
8.1.
Factors and Multiples of a Number
8.1.1.
Factors
8.1.1.1.
Finding Factors of a Number
8.1.1.2.
HCF (Highest Common Factor)
8.1.2.
Multiples
8.1.2.1.
Finding Multiples of a Number
8.1.2.2.
LCM (Lowest Common Multiple)
8.1.3.
Properties of Factors and Multiples
8.2.
Types of Numbers
8.2.1.
Odd and Even Numbers
8.2.1.1.
Even Numbers
8.2.1.2.
Odd Numbers
8.2.2.
Prime and Composite Numbers
8.2.2.1.
Composite Numbers
8.2.2.2.
Prime Numbers
8.2.2.3.
Properties of Composite and Prime
8.3.
Prime Factors of a Number by Factor Tree Method
8.4.
Tests of Divisibility
8.4.1.
Test Divisibility by 2
8.4.2.
Test Divisibility by 3
8.4.3.
Test Divisibility by 5
8.4.4.
Test Divisibility by 6
8.4.5.
Test Divisibility by 9
8.4.6.
Test Divisibility by 10
9.
Patterns
9.1.
Complete the pattern
9.2.
Rule for the Pattern
9.3.
Find the Missing Term in the Pattern
10.
Rounding Numbers
10.1.
Rounding Off Numbers
10.1.1.
Rounding Off to the Nearest Ten
10.1.2.
Rounding Off to the Nearest Hundred
10.1.3.
Rounding Off to the Nearest Thousand
10.2.
Estimating Sum
10.3.
Estimating Difference
10.4.
Estimating Products
11.
Fractions
11.1.
Fraction as a Part of a Whole
11.2.
Fractional Numbers and Fractions
11.3.
Numerator and Denominator of a Fraction
11.4.
Division as Fraction
11.5.
Fraction as Division
11.6.
Fractions on a Number Line
11.7.
Equivalent Fractions
11.8.
Comparison of Fractions
11.8.1.
Compare and Order Fractions with Same Denominators
11.8.2.
Compare and Order Fractions with Same Numerators
11.9.
Like and Unlike Fractions
11.10.
Unit Fraction
11.11.
Proper, Improper and Mixed fractions
11.11.1.
Understand the Meaning of Proper, Improper and Mixed Fractions
11.11.2.
Convert Improper Fractions to Mixed Fractions
11.11.3.
Convert Mixed Fractions to Improper Fractions
11.12.
Addition and Subtraction of Fractions
11.12.1.
Addition of Like Fractions
11.12.2.
Subtraction of Like Fractions
11.13.
Word Problems on Fractions
11.13.1.
Word Problems on Forming Fractions
11.13.2.
Word Problems on Addition of Like Fractions
11.13.3.
Word Problems on Subtraction of Like Fractions
12.
Decimals
12.1.
Conversions
12.1.1.
Converting Decimals into Fractions(With Denominators as Power of 10)
12.1.2.
Converting Fractions(With Denominators as Power of 10) into Decimals
12.2.
Pictorial Representation of a Decimal Number
12.3.
Number Names of Decimal Numbers
12.4.
Place Value of the Digits of a Decimal Number
12.5.
Expanded Form of Decimal Numbers
13.
Money
13.1.
Introduction to Currency
13.2.
Express Money in Figures
13.3.
Conversion of Money
13.4.
Addition and Subtraction of Money
13.4.1.
Addition of Amounts in currencies
13.4.2.
Subtraction of Amounts in currencies
13.5.
Multiplication and Division of Money
13.5.1.
Multiplication of Money by a Whole Number
13.5.2.
Division of Money by a Whole Number
13.6.
Word Problems on Money
13.6.1.
Word Problems on Addition of Money
13.6.2.
Word Problems on Subtraction of Money
13.6.3.
Word Problems on Multiplication of Money by a Whole Number
13.6.4.
Word Problems on Division of Money by a Whole Number
14.
Measurement
14.1.
Measurement of Length
14.1.1.
Conversion of Metric Units of Length
14.1.1.1.
Conversion from Higher to Lower Units of Length
14.1.1.2.
Conversion from Mixed Units to Lower Units of Length
14.1.1.3.
Conversion from Lower to Higher Units of Length
14.1.2.
Addition and Subtraction of Lengths
14.1.2.1.
Addition of Lengths
14.1.2.1.1.
Addition of Lengths in Meters and Centimeters
14.1.2.1.2.
Addition of Lengths in Kilometers and Meters
14.1.2.2.
Subtraction of Lengths
14.1.2.2.1.
Subtraction of Lengths in Meters and Centimeters
14.1.2.2.2.
Subtraction of Lengths in Kilometers and Meters
14.1.3.
Word Problems on Length
14.1.3.1.
Word Problems on Addition of Lengths
14.1.3.2.
Word Problems on Subtraction of Lengths
14.2.
Measurement of Weight
14.2.1.
Conversion of Metric Units of Weight
14.2.1.1.
Conversion from Higher to Lower Units of Weight
14.2.1.2.
Conversion from Mixed Units to Lower Units of Weight
14.2.1.3.
Conversion from Lower to Higher Units of Weight
14.2.2.
Addition and Subtraction of Weights
14.2.2.1.
Addition of Weights
14.2.2.1.1.
Addition of Weights in Grams and Milligrams
14.2.2.1.2.
Addition of Weights in Kilograms and Grams
14.2.2.2.
Subtraction of Weights
14.2.2.2.1.
Subtraction of Weights in Grams and Milligrams
14.2.2.2.2.
Subtraction of Weights in Kilograms and Grams
14.2.3.
Word Problems on Weights
14.2.3.1.
Word Problems on Addition of Weights
14.2.3.2.
Word Problems on Subtraction of Weights
14.3.
Measurement of Capacity
14.3.1.
Conversion of Metric Units of Capacity
14.3.1.1.
Conversion from Higher to Lower Units of Capacity
14.3.1.2.
Conversion from Mixed Units to Lower Units of Capacity
14.3.1.3.
Conversion from Lower to Higher Units of Capacity
14.3.2.
Addition and Subtraction of Capacity
14.3.2.1.
Addition of Capacity in Liters and Milliliters
14.3.2.2.
Subtraction of Capacity in Liters and Milliliters
14.3.3.
Word Problems on Capacity
14.3.3.1.
Word Problems on Addition of Capacity
14.3.3.2.
Word Problems on Subtraction of Capacity
15.
Unitary Method
15.1.
Word problems Using Unitary Method Involving Multiplication
15.2.
Word problems Using Unitary Method Involving Division
15.3.
Word problems Using Unitary Method Involving Both Multiplication and Division
16.
Geometry
16.1.
Understand the Basic Terms in Geometry (Point, Line, Line Segment, Ray, and Plane)
16.2.
Measure Line Segments
16.3.
Identify and Count the Number of Line Segments
16.4.
Types of Lines
16.4.1.
Straight and Curved Lines
16.4.2.
Horizontal, Vertical, Curved, and Slant Lines
16.4.3.
Open and Closed Shapes
16.5.
Polygons
16.5.1.
Understanding Polygons
16.5.2.
Name the Polygon
16.5.3.
Introduction to Plane Shapes (Rectangle, Square, Circle, and Triangle)
16.5.4.
Count the Vertices and Sides of a Plane Shape
16.5.5.
Compare Vertices and Sides of Different Plane Shapes
16.6.
Circle
16.6.1.
Terms Related to a Circle
16.6.2.
Relationship Between Radius and Diameter of a Circle
17.
Perimeter of Rectilinear Figures
17.1.
Basic Definition of Perimeter
17.2.
Perimeter of Triangle
17.3.
Perimeter of a Rectangle
17.4.
Perimeter of a Square
17.5.
Perimeter of a Other Geometric Figures
18.
Solid Shapes (3-D shapes)
18.1.
Identify Different Solid Shapes (Cuboid, Cube, Cone, Cylinder, Sphere, Prism, and Pyramids)
18.2.
Vertices, Edges and Faces of Solid Objects
18.3.
Net of a 3-D Shape
18.4.
Tangrams
18.5.
Tiling Geometrical Shapes
19.
Symmetry
19.1.
Introduction to Symmetry
19.2.
Identifying Mirror Halves
19.3.
Symmetry Around Us
19.4.
Symmetry in Geometric Figures
19.5.
Symmetry in Alphabets
19.6.
Symmetry in Numerals
20.
Time
20.1.
Clock
20.1.1.
Basic Facts About Clocks and Time
20.1.2.
Measuring Time
20.1.2.1.
Reading Time on the Clock (Minute Hand is at 3, 6, or 9)
20.1.2.2.
Reading Time on the Clock (Minute hand is at any number)
20.1.2.3.
Word Problems on Reading Time
20.1.2.4.
Relate Days, Hours, Minutes, and Seconds
20.1.3.
24-Hour Clock Time
20.1.3.1.
Understanding 24-Hour Clock Time
20.1.3.2.
Conversion from 24-Hour Clock Time to 12-Hour Clock Time
20.1.3.3.
Conversion from 12-Hour Clock Time to 24-Hour Clock Time
20.1.4.
Use of 'AM' and 'PM'
20.1.5.
Addition and Subtraction of Time
20.1.5.1.
Addition of Time
20.1.5.2.
Subtraction of Time
20.1.5.3.
Word Problems on Time
20.2.
Calendar
20.2.1.
Days of the Week
20.2.2.
Months of the Year
20.2.3.
Ordinary, Leap, and Century Years
20.2.4.
Word Problems on Calendar
21.
Data Handling
21.1.
Basic Definition of Data
21.2.
Pictographs
21.2.1.
Introduction to Pictograph
21.2.2.
Drawing Pictographs
21.2.3.
Interpreting Pictographs
21.3.
Bar Graphs
21.3.1.
Drawing Bar Graphs
21.3.2.
Interpreting Bar Graphs
Grade 4 Pakistan School Math
Long Division
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