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Class 3
Geometry
More About Points, Line Segments, Lines, and Rays

Class 3

1. Numbers

1.1. Representation of Numbers

1.1.1. Write Numerals as Number Names

1.1.2. Write Number Names as Numerals

1.1.3. Numbers on Abacus

1.2. Face Value and Place Value

1.2.1. Face Value of a Digit in a Number

1.2.2. Place Value of a Digit in a Number

1.2.3. Appreciating Face Values and Place Values

1.3. Numbers in Expanded Form

1.3.1. Convert Numbers to Expanded Form

1.3.2. Convert Numbers from Expanded Form

1.4. Successor and Predecessor

1.4.1. Successor of a Number

1.4.2. Predecessor of a Number

1.4.3. Appreciate Predecessor and Successor of a Number

1.5. Skip Counting

1.6. Comparison of numbers

1.6.1. Comparison of Numbers with Same Number of Digits

1.6.2. Comparison of Numbers with Different Number of Digits

1.7. Ascending Order and Descending Order

1.7.1. Ascending Order of Numbers

1.7.2. Descending Order of Numbers

1.8. Forming Numbers

2. Roman Numerals

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

3. Addition

3.1. Addendum and Sum

3.2. Addition Without Carrying

3.2.1. Add Two Numbers Without Carrying

3.2.2. Add Many Numbers Without Carrying

3.2.3. Find the Missing Digits in Column-Wise Addition (Without Carrying)

3.3. Addition with Carrying

3.3.1. Add Two Numbers With Carrying

3.3.2. Add Many Numbers With Carrying

3.3.3. Find the Missing Digits in Column-Wise Addition (With Carrying)

3.4. Properties of Addition

3.4.1. Order Property (Commutative Property) of Addition

3.4.2. Grouping Property (Associative Property) of Addition

3.4.3. Additive Property of Zero

3.5. Word Problems on Addition

4. Subtraction

4.1. Subtraction Without Borrowing

4.1.1. Subtract Two Numbers Without Borrowing

4.1.2. Find Missing Digits in Column-Wise Subtraction of Two Numbers (Without Borrowing)

4.2. Subtraction With Borrowing

4.2.1. Subtract Two Numbers With Borrowing

4.2.2. Find Missing Digits in Column-Wise Subtraction of Two Numbers (With Borrowing)

4.3. Properties of Subtraction

4.4. Word Problems on Subtraction

5. Word Problems on Addition and Subtraction

6. Multiplication

6.1. Multiplication as Repeated Addition

6.2. Multiplication Tables from 2 to 10

6.3. Multiplication By 1-Digit Numbers

6.3.1. Multiply 2-Digit Numbers By 1-Digit Numbers (Without Carrying)

6.3.2. Multiply 2-Digit Numbers By 1-Digit Numbers (With Carrying)

6.3.3. Multiply 3-Digit Numbers By 1-Digit Numbers (Without Carrying)

6.3.4. Multiply 3-Digit Numbers By 1-Digit Numbers (With Carrying)

6.4. Multiplication Tables from 11 to 20

6.5. Multiplication By 2-Digit Numbers

6.5.1. Multiply 2-Digit Numbers By 2-Digit Numbers (Without Carrying)

6.5.2. Multiply 2-Digit Numbers By 2-Digit Numbers (With Carrying)

6.5.3. Multiply 3-Digit Numbers By 2-Digit Numbers (Without Carrying)

6.5.4. Multiply 3-Digit Numbers By 2-Digit Numbers (With Carrying)

6.6. Multiplication by 10,100, and 1000

6.7. Multiplication by 20,30,40....90

6.8. Multiplication by 200,300,400....900

6.9. Properties of Multiplication

6.9.1. Order Property of Multiplication

6.9.2. Grouping/Associative Property of Multiplication

6.9.3. Multiplicative Property of One

6.9.4. Multiplicative Property of Zero

6.9.5. Distributive Property of Multiplication over Addition

6.9.6. Identify the Property of Multiplication

6.10. Word Problems on Multiplication

6.10.1. Word Problems on Multiplication Involving 1-Digit Numbers

6.10.2. Word Problems on Multiplication Involving 2-Digit Numbers

7. Division

7.1. Division as Distribution

7.2. Division as Forming Groups

7.3. Division as Repeated Subtraction

7.4. Division on the Number Line

7.5. Relation Between Multiplication and Division

7.6. Divisor, Quotient, Dividend and Remainder

7.7. Properties of Division

7.7.1. Division of a Number by One

7.7.2. Division of a Number by Itself

7.7.3. Division of a Number by Zero

7.7.4. Dividing Zero by a Number

7.8. Division Without Remainder using Long Division Method

7.8.1. Divide a 2-Digit Number by a 1-Digit Number (Without Remainder)

7.8.2. Divide a 3-Digit Number by a 1-Digit Number (Without Remainder)

7.8.3. Divide a 4-Digit Number by a 1-Digit Number (Without Remainder)

7.9. Division With Remainder using Long Division Method

7.9.1. Divide a 2-Digit Number by a 1-Digit Number (With Remainder)

7.9.2. Divide a 3-Digit Number by a 1-Digit Number (With Remainder)

7.9.3. Divide a 4-Digit Number by a 1-Digit Number (With Remainder)

7.10. Division by 10

7.11. Word Problems on Division (Without Remainder)

7.11.1. Word Problems - Divide 2-Digit Number by 1-Digit Number

7.11.2. Word Problems - Divide 3 or 4-Digit Number by 1-Digit Number

7.12. Word Problems on Division (With Remainder)

8. Money

8.1. Currency

8.2. Express Money in Words

8.3. Express Money in Figures

8.4. Convert to Paise

8.4.1. Convert Rupees into Paise

8.4.2. Convert Rupees and Paise into Paise

8.5. Convert from Paise

8.5.1. Convert Paise into Rupees

8.5.2. Convert Paise into Rupees and Paise

8.5.3. Convert Rupees and Paise to Amount in Figures

8.6. Addition of Money

8.6.1. Addition of Money by Converting to Paise

8.6.2. Column-Wise Addition of Amounts in Rupees and Paise

8.7. Subtraction of money

8.7.1. Subtraction of Money by Converting Paise

8.7.2. Column-Wise Subtraction of Amounts in Rupees and Paise

8.8. Multiplication of Money by a Whole Number

8.9. Word problems on money

8.9.1. Word Problems on Money Involving Addition

8.9.2. Word Problems on Money Involving Subtraction

8.9.3. Word Problems on Money Involving Both Addition and Subtraction

8.9.4. Word Problems on Money Involving Multiplication by a Whole Number

9. Fractions

9.1. Fraction as a Part of a Whole

9.2. Fractional Numbers and Fractions

9.3. Numerator and Denominator of a Fraction

9.4. Fractional Part of a Collection

9.5. Word Problems on Fractions

10. Measurement of Length

10.1. Measures of Length

10.2. Devices to Measure Length

10.3. Conversion of Metres into Centimetres and Vice Versa

10.4. Conversion of Kilometres into Metres and Vice Versa

10.5. Compare Metric Units of Length

10.6. Addition of Lengths

10.6.1. Addition of Lengths Given in Metres and Centimetres

10.6.2. Addition of Lengths Given in Kilometres and metres

10.7. Subtraction of Lengths

10.7.1. Subtraction of Lengths Given in Metres and Centimetres

10.7.2. Subtraction of Lengths Given in Kilometres and Metres

10.8. Word Problems on Length

10.8.1. Word Problems Involving Addition of Length Measurements

10.8.2. Word Problems Involving Subtraction of Length Measurements

11. Measurement of Weight

11.1. Metric Units of Weight

11.2. Weighing Objects

11.2.1. Weighing Objects Using Reference Weights

11.2.2. Weighing Objects Using Scales and Balances

11.3. Conversion of Grams into Kilograms

11.4. Conversion of Kilograms into Grams

11.5. Compare Metric Units of Weight

11.6. Addition of Weights

11.6.1. Addition of Weights (Similar Units)

11.6.2. Addition of Weights (Different Units)

11.7. Subtraction of Weights

11.7.1. Subtraction of Weights (Similar Units)

11.7.2. Subtraction of Weights (Different Units)

11.8. Word Problems on Weight

11.8.1. Word Problems Involving Addition of Weights

11.8.2. Word Problems Involving Subtraction of Weights

12. Measurement of Capacity/Volume

12.1. Metric Units of Capacity/Volume

12.2. Measuring Capacity/Volume Using Reference Containers

12.3. Conversio of Litres into Millilitres

12.4. Convert Millilitres into Litres

12.5. Compare Metric Units of Capacity/Volume

12.6. Addition of Capacities/Volumes

12.6.1. Addition of Capacities/Volumes (Similar Units)

12.6.2. Addition of Capacities/Volumes (Different Units)

12.7. Subtraction of Capacities/Volumes

12.7.1. Subtraction of Capacities/Volumes (Similar Units)

12.7.2. Subtraction of Capacities/Volumes (Different Units)

12.8. Word Problems on Capacity/Volume

12.8.1. Word Problems Involving Addition of Capacities/Volumes

12.8.2. Word Problems Involving Subtraction of Capacities/Volumes

13. Time

13.1. Clocks

13.1.1. Basic Facts About Clocks and Time

13.1.2. Read Time on Clocks

13.1.2.1. Read Time on Analogue Clocks

13.1.2.1.1. Read and Show Time on Analogue Clocks (Correct to the Hour)

13.1.2.1.2. Read and Show Time on Analogue Clocks (Half Hour Intervals)

13.1.2.1.3. Read and Show Time on Analogue Clocks (15 Minute Intervals)

13.1.2.1.4. Read and Show Time on Analogue Clocks (Five Minute Intervals)

13.1.2.1.5. Identify the Clock Showing the Time Between Two Given Time Intervals

14. Calendar

14.1. Days, Weeks, Months and Years

14.1.1. Days of the Week

14.1.2. Months of the Year

14.1.3. Number of Days in Each Month of a Year

14.1.4. Relation between Days and Weeks

14.1.5. Century, Leap and Ordinary Years

14.1.5.1. Decade and Century

14.1.5.2. Leap Year

14.1.5.3. Ordinary year

14.2. Dates

14.2.1. Computing the Number of Years Between Two Dates

14.3. Word Problems on Calendar

15. Geometry

15.1. Point, Line Segment, Line and Ray

15.1.1. Introduction to Point, Line Segment, Line and Ray

15.1.2. Types of Lines

15.1.2.1. Straight and Curved Lines

15.1.2.2. Horizontal, Vertical, Curved, and Slant Lines

15.1.3. Identify and Count the Number of Line Segments

15.1.4. Measure Line Segments

15.2. Plane Shapes (Triangle, Quadrilateral, Rectangle, Square, and Circle)

15.2.1. Introduction to Plane Shapes

15.2.2. Count the Vertices and Sides of a Plane Shape

15.2.3. Compare Vertices and Sides of Different Plane Shapes

15.2.4. Counting the Number of Triangles and Rectangles in a Given Figure

15.3. Solids

15.3.1. Identify Different Solid Shapes (Cuboid, Cube, Cone, Cylinder, and Sphere)

15.3.2. Solid Shapes Around Us

15.3.3. Vertices, Edges and Faces of Solid Shapes

16. Symmetry

17. Pictograph

17.1. Drawing a Pictograph for a Given Infomation

17.2. Reading and Interpreting a Pictograph

17.3. Collecting Data Using Tally Marks

Class 3 NCERT (CBSE and ICSE) More About Points, Line Segments, Lines, and Rays

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