Grade 1
  1. Numbers and Counting  1.1. Counting to 10  1.2. Counting to 20  1.3. Counting to 50  1.4. Counting to 100  1.5. Writing Numbers 1 to 10  1.6. Writing Numbers 1 to 20  1.7. Writing Numbers 1 to 50  1.8. Writing Numbers 1 to 100  1.9. Reading Numbers 1 to 10  1.10. Reading Numbers 1 to 20  1.11. Reading Numbers 1 to 50  1.12. Reading Numbers 1 to 100  1.13. Comparing Numbers  1.14. Ordering Numbers  1.15. Odd and Even Numbers  1.16. Number Patterns  1.17. Skip Counting by 2s, 5s, and 10s  1.18. Understanding Zero
  2. Basic Addition and Subtraction  2.1. Understanding Addition  2.2. Addition Facts within 10  2.3. Addition Facts within 20  2.4. Adding Zero  2.5. Adding One More  2.6. Adding Two More  2.7. Adding Three More  2.8. Adding Using Pictures  2.9. Addition Word Problems  2.10. Understanding Subtraction  2.11. Subtraction Facts within 10  2.12. Subtraction Facts within 20  2.13. Subtracting Zero  2.14. Subtracting One  2.15. Subtracting Two  2.16. Subtraction Using Pictures  2.17. Subtraction Word Problems  2.18. Introduction to Doubles Facts  2.19. Introduction to Making 10
  3. Place Value and Number Sense  3.1. Understanding Tens and Ones  3.2. Counting by Tens  3.3. Place Value within 20  3.4. Place Value within 50  3.5. Place Value within 100  3.6. Reading and Writing Two-Digit Numbers  3.7. Comparing Two-Digit Numbers  3.8. Decomposing Numbers
  4. Measurement  4.1. Length  4.1.1. Comparing Lengths  4.1.2. Measuring with Non-Standard Units  4.1.3. Using Standard Units (Inches and Centimeters) in Length  4.2. Weight  4.2.1. Comparing Weights  4.2.2. Heavy and Light Objects  4.2.3. Introduction to Grams and Pounds  4.3. Capacity  4.3.1. Comparing Capacity  4.3.2. Full and Empty  4.3.3. Introduction to Liters and Milliliters  4.4. Time  4.4.1. Telling Time to the Hour  4.4.2. Telling Time to the Half Hour  4.4.3. Days of the Week  4.4.4. Months of the Year  4.4.5. Understanding Yesterday, Today, and Tomorrow  4.5. Money  4.5.1. Recognizing Coins  4.5.2. Counting Coins  4.5.3. Introduction to Dollar and Cents Symbols  4.5.4. Simple Addition and Subtraction with Money
  5. Geometry  5.1. 2D Shapes  5.1.1. Recognizing 2D Shapes  5.1.2. Drawing 2D Shapes  5.1.3. Naming 2D Shapes  5.1.4. Properties of 2D Shapes  5.1.5. Sorting 2D Shapes  5.1.6. Composing Simple Shapes  5.2. 3D Shapes  5.2.1. Recognizing 3D Shapes  5.2.2. Naming 3D Shapes  5.2.3. Properties of 3D Shapes  5.2.4. Sorting 3D Shapes  5.3. Position and Direction  5.3.1. Left and Right  5.3.2. Above and Below  5.3.3. Inside and Outside  5.3.4. Near and Far  5.3.5. In Front and Behind
  6. Patterns and Sorting  6.1. Recognizing Patterns  6.2. Extending Patterns  6.3. Creating Patterns  6.4. Sorting by Color  6.5. Sorting by Shape  6.6. Sorting by Size
  7. Data and Graphing  7.1. Introduction to Data  7.2. Collecting Data  7.3. Tally Marks  7.4. Bar Graphs  7.5. Picture Graphs  7.6. Interpreting Simple Graphs
  8. Fractions  8.1. Understanding Halves  8.2. Understanding Fourths  8.3. Dividing Shapes into Equal Parts  8.4. Identifying Equal and Unequal Parts

Grade 1 → Fractions ↓


Dividing Shapes into Equal Parts


In this lesson, we will learn how to divide shapes into equal parts. When we divide something into equal parts, each part should be the same size. This is also an introduction to the concept of fractions. Fractions tell us about equal parts of a whole.

Understanding equal parts

When we say equal portions, it means that each portion is exactly the same size. This is important because fractions require equality. If we have a pizza with equal slices, then each slice is the same amount of pizza.

An example with a circle

Let's start with a simple shape: a circle. We can divide a circle into parts in different ways. Here's an example:

 ,
,
,
,
   1 2

In this example, the circle is divided into two parts. These parts are equal, so each part is 1/2 of the whole circle. We write it as:

 One part = 1/2 Other part = 1/2

Here, 1/2 is a fraction, which tells us that a part of a whole is represented. The number below (2) is the total number of parts the circle is divided into, and the number above (1) tells us how many of those parts we are considering.

Dividing other shapes

Let's try dividing other shapes into equal parts. We can apply the same idea to squares, rectangles and triangles.

Example with class

Consider a square that we want to divide into equal parts. Let's divide it into four equal parts:

 ,
,
,
,
,

Now, the square is divided into four equal parts. Each part is 1/4 of the whole square. We write it as:

 One part = 1/4

This tells us that each part is one of four equal parts of the square.

Example with rectangle

Let's divide a rectangle into equal parts. Let's say we divide a rectangle into two parts:

 ,
,
,
,
,

This rectangle is divided into two equal parts. Each part is 1/2 of the whole rectangle. We can write it as:

 One part = 1/2

Example of a triangle

We can also divide a triangle into equal parts. Consider a triangle divided into two parts:

   ,
  ,
 ,

This shows the triangle divided into two equal parts. Each part is 1/2 of the whole triangle. We write it as:

 One part = 1/2

The importance of equal parts

Having equal parts is important because it makes it easier to understand the concept of fractions. If the parts are not equal, it will not be possible to accurately describe them with fractions.

Common mistakes

  • Uneven parts: Sometimes the parts may look equal but are not actually the same size. Always make sure that each part is exactly equal.
  • Miscalculating numbers: Double-check that the number of parts you counted matches the number shown in the fraction.

More visual examples

Let's try to see more examples of shapes divided into equal parts. Use the following shapes for practice:

Divide the circle into six equal parts:

   ,
  / 1 
 ,
,
 ,
  ,

This gives us six equal parts, so each part is 1/6 6th of the circle.

Divide the square into three equal parts:

 ,
,
,
,

If this square is divided into three equal parts then each part will be 1/3 of the whole square.

Divide the rectangle into five equal parts:

 ,
,
,
,

Each of these five parts is 1/5 of the rectangle.

Custom question

1. If you divide a square into four equal parts and color three parts, how much of the square will be colored?

Answer: 3/4

2. Suppose you have a triangle and you divide it into three equal parts. How many parts are there and which fraction represents one of these parts?

Answer: 3 parts, each is 1/3

3. If you have a rectangle that is divided into two equal parts and one part is shaded, how much of the rectangle is shaded?

Answer: 1/2

Conclusion

Dividing shapes into equal parts helps us understand fractions better. To use fractions correctly, it is important to make sure that each part is equal. You can practice by creating different shapes and dividing them yourself. This will strengthen your understanding of the basic idea of fractions.


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