Grade 3
  1. Number Sense and Numeration  1.1. Understanding Numbers  1.1.1. Reading and Writing Numbers up to 10,000  1.1.2. Place Value up to Thousands  1.1.3. Comparing and Ordering Numbers  1.1.4. Rounding Numbers to the Nearest Ten and Hundred  1.1.5. Skip Counting by 2s, 5s, 10s, and 100s up to 1,000  1.2. Operations with Whole Numbers  1.2.1. Addition and Subtraction up to 1,000  1.2.2. Multiplication Facts (up to 10 x 10)  1.2.3. Division Facts (up to 100)  1.2.4. Multiplication as Repeated Addition  1.2.5. Division as Equal Sharing  1.2.6. Word Problems with Addition, Subtraction, Multiplication, and Division  1.3. Estimation  1.3.1. Estimating Sums and Differences  1.3.2. Estimating Products and Quotients  1.4. Understanding Even and Odd Numbers
  2. Fractions and Decimals  2.1. Understanding Fractions  2.1.1. Identifying and Representing Fractions  2.1.2. Fractions of a Whole and Part of a Set  2.1.3. Comparing and Ordering Fractions with Like Denominators  2.1.4. Equivalent Fractions  2.1.5. Simple Fraction Word Problems  2.2. Introduction to Decimals  2.2.1. Tenths and Hundredths as Decimals  2.2.2. Relationship between Fractions and Decimals
  3. Measurement  3.1. Length  3.1.1. Measuring in Centimeters and Meters  3.1.2. Comparing and Ordering Lengths  3.1.3. Estimating Lengths  3.1.4. Converting Between Centimeters and Meters  3.2. Mass  3.2.1. Measuring in Grams and Kilograms  3.2.2. Estimating and Comparing Mass  3.3. Capacity  3.3.1. Measuring in Milliliters and Liters  3.3.2. Estimating and Comparing Capacity  3.4. Time  3.4.1. Telling Time to the Nearest Minute  3.4.2. Calculating Elapsed Time  3.4.3. Using a Calendar  3.4.4. Understanding A.M. and P.M.  3.5. Area and Perimeter  3.5.1. Calculating Perimeter of Simple Shapes  3.5.2. Estimating and Measuring Area of Shapes  3.5.3. Finding Area by Counting Squares
  4. Geometry  4.1. Properties of Shapes  4.1.1. Identifying 2D Shapes (Triangles, Quadrilaterals, Circles, etc.)  4.1.2. Identifying 3D Shapes (Cubes, Spheres, Cylinders, etc.)  4.1.3. Describing Attributes of 2D and 3D Shapes  4.1.4. Recognizing Parallel and Perpendicular Lines  4.2. Symmetry and Transformations  4.2.1. Recognizing Lines of Symmetry  4.2.2. Identifying Flips, Slides, and Turns  4.3. Angles  4.3.1. Understanding Right Angles  4.3.2. Comparing Angles (Acute, Right, Obtuse)
  5. Data Management and Probability  5.1. Data Collection and Organization  5.1.1. Collecting Data using Surveys and Experiments  5.1.2. Organizing Data using Tally Charts and Tables  5.2.1. Creating and Interpreting Pictographs  5.2.2. Creating and Interpreting Bar Graphs  5.2.3. Reading Simple Line Graphs  5.3. Probability  5.3.1. Understanding Basic Probability Terms (Certain, Possible, Impossible)  5.3.2. Predicting Outcomes  5.3.3. Simple Probability Experiments
  6. Patterns and Algebra  6.1. Patterns  6.1.1. Identifying and Extending Numeric Patterns  6.1.2. Identifying and Extending Shape Patterns  6.1.3. Creating Patterns Using Rules  6.2. Introduction to Algebra  6.2.1. Understanding Variables as Unknowns  6.2.2. Solving Simple Addition and Subtraction Equations  6.2.3. Using Patterns to Solve Problems
  7. Problem-Solving Skills  7.1. Strategies for Problem-Solving  7.1.1. Using Pictures or Diagrams  7.1.2. Identifying Patterns in Problems  7.1.3. Making Organized Lists  7.1.4. Guessing and Checking  7.1.5. Using Logical Reasoning  7.1.6. Breaking Down Problems into Steps

Grade 3 → Number Sense and Numeration → Operations with Whole Numbers ↓


Division Facts (up to 100)


Division is one of the basic arithmetic operations. It is very important in mathematics and in everyday life. When you divide, you find out how many times one number is contained in another number. In simple terms, division is dividing or sharing equally.

What is division?

Division can be thought of as the opposite of multiplication. If you think of multiplication as repeated addition, you can think of division as repeated subtraction. In particular, division helps us understand how evenly a number can be distributed.

Division of whole numbers answers the question: "How many times does one number go into another number?" For example, how many 4's are there in 12? The answer is 3, because 12 ÷ 4 = 3 This is because multiplying 3 by 4 gives us 12 (3 × 4 = 12).

Key words in division

  • Dividend: The number you are dividing by.
  • Divisor: The number you are dividing by.
  • Quotient: The answer to a division problem.
  • Remainder: What is left after division.

In the equation 12 ÷ 4 = 3:

  • 12 is the dividend
  • 4 is the divisor
  • 3 is the quotient

Basic division facts

When we talk about division facts up to 100, we refer to basic division problems where the dividend and divisor are both numbers less than or equal to 100. Learning these facts is important because they form the basis for more advanced math skills.

Example:

Let's consider the division of 24 ÷ 6.

 24 ÷ 6 = 4

Visual example using object

Imagine you have 12 apples and you want to divide them equally among 4 friends. How many apples will each friend get?

 12 ÷ 4 = 3

Each friend will get 3 apples.

Division facts from 1 to 10

Understanding how numbers from 1 to 10 are divided by other numbers is an important foundation. Here are some important division facts:

  1 ÷ 1 = 1
  2 ÷ 1 = 2
  2 ÷ 2 = 1
  3 ÷ 1 = 3
  3 ÷ 3 = 1
  4 ÷ 1 = 4
  4 ÷ 2 = 2
  4 ÷ 4 = 1
  5 ÷ 1 = 5
  5 ÷ 5 = 1
  6 ÷ 1 = 6
  6 ÷ 2 = 3
  6 ÷ 3 = 2
  6 ÷ 6 = 1
  7 ÷ 1 = 7
  7 ÷ 7 = 1
  8 ÷ 1 = 8
  8 ÷ 2 = 4
  8 ÷ 4 = 2
  8 ÷ 8 = 1
  9 ÷ 1 = 9
  9 ÷ 3 = 3
  9 ÷ 9 = 1
 10 ÷ 1 = 10
 10 ÷ 2 = 5
 10 ÷ 5 = 2
 10 ÷ 10 = 1

Dealing with partition problems

Step-by-step approach

Solving division problems can be simple if you follow these steps:

  1. Understand the problem: Know what a dividend and a divisor are.
  2. Use known facts: Use the division facts you've learned.
  3. Check your answer: Multiply the quotient by the divisor to see if you get the dividend.

Example: Solve 15 ÷ 3

  1. The dividend is 15, and the divisor is 3.
  2. Use the fact that 3×5 = 15, so 15 ÷ 3 = 5
  3. Check: 3×5 = 15, Correct!

Practicing division with tables

Using division tables is a great way to remember division facts. Here's an example:

, , 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | , 
 2 | 2 | 1 | , , , , , , , , , 
 4 | 4 | 2 | 1 | , , , , , , , 
 6 | 6 | 3 | 2 | 1 | , , , , , 
 8 | 8 | 4 | , 2 | 1 | , , , , 
10 |10 | 5 | , , , 2 | 1 | , , 
12 |12 | 6 | , 4 | , 3 | 2 | 1 | ,

Completing similar tables strengthens your understanding of division and division facts.

Relationship between multiplication and division

Division problems can be solved or verified using multiplication. This relationship is based on the fact that division essentially "undoes" multiplication. Whenever you divide, you ask what number you must multiply the divisor by to get the dividend.

For example, 8 ÷ 2 = 4, because 4 × 2 = 8.

Communication of partitions in different ways

Using the table

Arrays can represent division visually. For example, if you need to figure out how many 3's there are in 12 by setting up the rows and columns.

Consider this layout:

This shows 12 ÷ 3 = 4 as it has 4 rows of 3 circles.

Use of number lines

Number lines give a linear representation of division. For example, to divide 12 by 3, count how many jumps of 3 fit into 12.

0 3 6 9 12

This division problem 12 ÷ 3 = 4 is shown with 4 jumps to reach 12.

The importance of segmentation skills

Division skills are very important not just in the classroom but also in everyday life. It helps in dividing or dividing objects equally and understanding concepts like fractions and ratios.

Applications in the real world:

Imagine you have 20 candy bars and you want to share them with 5 friends. How would you do this?

 20 candies ÷ 5 friends = 4 candies each

Conclusion

Mastering division facts up to 100 is an essential step to developing strong math skills. Understanding division helps you solve problems, think logically, and understand the world around you. Division can be made more understandable and enjoyable by using tools such as tables, arrays, and number lines.

Remember, the more you practice division, the better you will get. Keep using real-life scenarios to make the division meaningful, and soon these facts will become second nature.


Grade 3 → 1.2.3


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Multiplication Facts (up to 10 x 10)
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Multiplication as Repeated Addition

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Division Facts (up to 100)

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