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Grade 4
Multiplication
Multiplication - Properties and Facts
Grouping Property of Multiplication
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 Different Number of Digits
1.6.2.
Compare Numbers With Same Number of Digits
2.
Roman Numerals (up to 100)
2.1.
Introduction to Roman Numerals
2.2.
Write Roman Numerals for Hindu-Arabic Numerals
2.3.
Write Hindu-Arabic Numerals for Roman Numerals
2.4.
Meaningless Roman Numerals
2.5.
Compare Roman Numerals
2.6.
Operations on Roman Numerals
2.7.
Word Problems on Basic Arithmetic Using 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.
Addition Word Problems
3.6.1.
Word Problems: Add Five-Digit Numbers
3.6.2.
Word Problems: Add Six-Digit Numbers
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.
Subtraction Word Problems
4.5.1.
Word Problems: Subtract Five-Digit Numbers
4.5.2.
Word Problems: Subtract Six-Digit Numbers
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)
5.5.
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 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
6.6.1.
Word Problems: Multiply a 3-Digit number by a 2-Digit Number
6.6.2.
Word Problems: Multiply a 4-Digit number by a 2-Digit Number
6.6.3.
Word Problems: Multiply a 3-Digit number by a 3-Digit Number
6.6.4.
Word Problems: Multiply a 4-Digit number by a 3-Digit Number
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 2-digit Number (No Remainder)
7.4.2.
Divide a Number by a 3-digit Number (No Remainder)
7.4.3.
Divide a Number by a 2-digit Number (With Remainder)
7.4.4.
Divide a Number by a 3-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
7.6.1.
Word Problems - Division by a 2-Digit Number
7.6.2.
Word Problems - Division by a 3-Digit Number
8.
Word Problems: Mixed Operations
9.
Factors and Multiples
9.1.
Factors and Multiples of a Number
9.1.1.
Factors
9.1.1.1.
Finding Factors of a Number
9.1.1.2.
HCF (Highest Common Factor)
9.1.2.
Multiples
9.1.2.1.
Finding Multiples of a Number
9.1.2.2.
LCM (Lowest Common Multiple)
9.1.3.
Properties of Factors and Multiples
9.2.
Types of Numbers
9.2.1.
Odd and Even Numbers
9.2.1.1.
Even Numbers
9.2.1.2.
Odd Numbers
9.2.2.
Prime and Composite Numbers
9.2.2.1.
Composite Numbers
9.2.2.2.
Prime Numbers
9.2.2.3.
Properties of Composite and Prime
9.3.
Tests of Divisibility
9.3.1.
Test Divisibility by 2
9.3.2.
Test Divisibility by 3
9.3.3.
Test Divisibility by 5
9.3.4.
Test Divisibility by 6
9.3.5.
Test Divisibility by 9
9.3.6.
Test Divisibility by 10
9.4.
Prime Factors of a Number by Factor Tree Method
10.
Patterns
10.1.
Rule for the Pattern
10.2.
Find the Sum of Consecutive Numbers
10.3.
Find the Missing Term in the Pattern
11.
Rounding Numbers
11.1.
Rounding Off Numbers
11.1.1.
Rounding Off to the Nearest Ten
11.1.2.
Rounding Off to the Nearest Hundred
11.1.3.
Rounding Off to the Nearest Thousand
11.2.
Estimating Sum
11.3.
Estimating Difference
11.4.
Estimating Products
12.
Fractions
12.1.
Fraction as a Part of a Whole
12.2.
Fractional Numbers and Fractions
12.3.
Numerator and Denominator of a Fraction
12.4.
Division as Fraction
12.5.
Fraction as Division
12.6.
Fractions on a Number Line
12.7.
Equivalent Fractions
12.8.
Comparison of Fractions
12.8.1.
Compare and Order Fractions with Same Denominators
12.8.2.
Compare and Order Fractions with Same Numerators
12.9.
Like and Unlike Fractions
12.10.
Unit Fraction
12.11.
Proper, Improper and Mixed fractions
12.11.1.
Understand the Meaning of Proper, Improper and Mixed Fractions
12.11.2.
Convert Improper Fractions to Mixed Fractions
12.11.3.
Convert Mixed Fractions to Improper Fractions
12.12.
Addition and Subtraction of Fractions
12.12.1.
Addition of Like Fractions
12.12.2.
Subtraction of Like Fractions
12.13.
Word Problems on Fractions
12.13.1.
Word Problems on Forming Fractions
12.13.2.
Word Problems on Addition of Like Fractions
12.13.3.
Word Problems on Subtraction of Like Fractions
13.
Decimals
13.1.
Conversions
13.1.1.
Converting Decimals into Fractions(With Denominators as Power of 10)
13.1.2.
Converting Fractions(With Denominators as Power of 10) into Decimals
13.2.
Pictorial Representation of a Decimal Number
13.3.
Number Names of Decimal Numbers
13.4.
Place Value of the Digits of a Decimal Number
13.5.
Expanded Form of Decimal Numbers
14.
Money
14.1.
Introduction to Currency
14.3.
Express Money in Figures
14.4.
Conversion of Money
14.4.2.
Convert Dollars and Cents into Cents
14.4.4.
Convert Cents into Dollars
14.5.
Addition and Subtraction of Money
14.5.1.
Addition of Amounts in Dollars and Cents
14.5.2.
Subtraction of Amounts in Dollars and Cents
14.6.
Multiplication and Division of Money
14.6.1.
Multiplication of Money by a Whole Number
14.7.
Word Problems on Money
14.7.1.
Word Problems on Addition of Money
14.7.2.
Word Problems on Subtraction of Money
14.7.3.
Word Problems on Addition and Subtraction of Money
14.7.4.
Word Problems on Multiplication of Money by a Whole Number
14.7.5.
Word Problems on Division of Money by a Whole Number
14.7.6.
Word Problems on Money Involving a Mixed Operations on Money
15.
Measurement
15.1.
Measurement of Length
15.1.1.
Conversion of Metric Units of Length
15.1.1.1.
Conversion from Higher to Lower Units of Length
15.1.1.2.
Conversion from Mixed Units to Lower Units of Length
15.1.1.3.
Conversion from Lower to Higher Units of Length
15.1.2.
Addition and Subtraction of Lengths
15.1.2.1.
Addition of Lengths
15.1.2.1.1.
Addition of Lengths in Meters and Centimeters
15.1.2.1.2.
Addition of Lengths in Kilometers and Meters
15.1.2.2.
Subtraction of Lengths
15.1.2.2.1.
Subtraction of Lengths in Meters and Centimeters
15.1.2.2.2.
Subtraction of Lengths in Kilometers and Meters
15.1.3.
Word Problems on Length
15.1.3.1.
Word Problems on Addition of Lengths
15.1.3.2.
Word Problems on Subtraction of Lengths
15.2.
Measurement of Weight
15.2.1.
Conversion of Metric Units of Weight
15.2.1.1.
Conversion from Higher to Lower Units of Weight
15.2.1.2.
Conversion from Mixed Units to Lower Units of Weight
15.2.1.3.
Conversion from Lower to Higher Units of Weight
15.2.2.
Addition and Subtraction of Weights
15.2.2.1.
Addition of Weights
15.2.2.1.1.
Addition of Weights in Grams and Milligrams
15.2.2.1.2.
Addition of Weights in Kilograms and Grams
15.2.2.2.
Subtraction of Weights
15.2.2.2.1.
Subtraction of Weights in Grams and Milligrams
15.2.2.2.2.
Subtraction of Weights in Kilograms and Grams
15.2.3.
Word Problems on Weights
15.2.3.1.
Word Problems on Addition of Weights
15.2.3.2.
Word Problems on Subtraction of Weights
15.3.
Measurement of Capacity
15.3.1.
Conversion of Metric Units of Capacity
15.3.1.1.
Conversion from Higher to Lower Units of Capacity
15.3.1.2.
Conversion from Mixed Units to Lower Units of Capacity
15.3.1.3.
Conversion from Lower to Higher Units of Capacity
15.3.2.
Addition and Subtraction of Capacity
15.3.2.1.
Addition of Capacity in Liters and Milliliters
15.3.2.2.
Subtraction of Capacity in Liters and Milliliters
15.3.3.
Word Problems on Capacity
15.3.3.1.
Word Problems on Addition of Capacity
15.3.3.2.
Word Problems on Subtraction of Capacity
16.
Unitary Method
16.1.
Word problems Using Unitary Method Involving Multiplication
16.2.
Word problems Using Unitary Method Involving Division
16.3.
Word problems Using Unitary Method Involving Both Multiplication and Division
17.
Geometry
17.1.
Understand the Basic Terms in Geometry (Point, Line, Line Segment, Ray, and Plane)
17.2.
Using a Ruler
17.3.
Identify and Count the Number of Line Segments
17.4.
Types of Lines
17.4.1.
Straight and Curved Lines
17.4.2.
Horizontal, Vertical, Curved, and Slant Lines
17.4.3.
Open and Closed Shapes
17.5.
Polygons
17.5.1.
Understanding Polygons
17.5.2.
Name the Polygon
17.5.3.
Introduction to Plane Shapes (Rectangle, Square, Circle, and Triangle)
17.5.4.
Count the Vertices and Sides of a Plane Shape
17.5.5.
Compare Vertices and Sides of Different Plane Shapes
17.5.6.
Counting the Number of Triangles and Rectangles in a Given Figure
17.6.
Circle
17.6.1.
Terms Related to a Circle
17.6.2.
Relationship Between Radius and Diameter of a Circle
18.
Perimeter of Rectilinear Figures
18.1.
Basic Definition of Perimeter
18.2.
Perimeter of Triangle
18.3.
Perimeter of a Rectangle
18.4.
Perimeter of a Square
18.5.
Perimeter of a Other Geometric Figures
19.
Solid Shapes (3-D shapes)
19.1.
Identify Different Solid Shapes (Cuboid, Cube, Cone, Cylinder, Sphere, Prism, and Pyramids)
19.2.
Solid Shapes Around Us
19.3.
Vertices, Edges and Faces of Solid Objects
19.4.
Net of a 3-D Shape
19.5.
Tangrams
19.6.
Tiling Geometrical Shapes
20.
Symmetry
20.1.
Introduction to Symmetry
20.2.
Identifying Mirror Halves
20.3.
Symmetry Around Us
20.4.
Symmetry in Geometric Figures
20.5.
Symmetry in Alphabets
20.6.
Symmetry in Numerals
21.
Time
21.1.
Clock
21.1.1.
Basic Facts About Clocks and Time
21.1.2.
Measuring Time
21.1.2.1.
Reading Time on the Clock (Minute Hand is at 3, 6, or 9)
21.1.2.2.
Reading Time on the Clock (Minute hand is at any number)
21.1.2.3.
Word Problems on Reading Time
21.1.2.4.
Relate Days, Hours, Minutes, and Seconds
21.1.3.
24-Hour Clock Time
21.1.3.1.
Understanding 24-Hour Clock Time
21.1.3.2.
Conversion from 24-Hour Clock Time to 12-Hour Clock Time
21.1.3.3.
Conversion from 12-Hour Clock Time to 24-Hour Clock Time
21.1.4.
Use of 'AM' and 'PM'
21.1.5.
Addition and Subtraction of Time
21.1.5.1.
Addition of Time
21.1.5.2.
Subtraction of Time
21.1.5.3.
Word Problems on Time
21.2.
Calendar
21.2.1.
Days of the Week
21.2.2.
Months of the Year
21.2.3.
Ordinary, Leap, and Century Years
21.2.4.
Writing Dates
21.2.5.
Word Problems on Calendar
22.
Data Handling
22.1.
Basic Definition of Data
22.2.
Pictographs
22.2.1.
Introduction to Pictograph
22.2.2.
Drawing Pictographs
22.2.3.
Interpreting Pictographs
22.3.
Bar Graphs
22.3.1.
Drawing Bar Graphs
22.3.2.
Interpreting Bar Graphs
Grade 4 Pakistan School Math
Grouping Property of Multiplication
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Multiplication - Properties and Facts
Pakistan