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 → Data and Graphing ↓


Bar Graphs


A bar graph is a way of showing information using bars of varying heights. It helps us understand numbers and figure out which number is bigger or smaller by looking at the graph. Imagine you have some boxes that contain things, and each box contains a different number of things. To make a bar graph, you draw a picture with bars that show how many things are in each box.

What is a bar graph?

A bar graph is a chart that represents data with rectangular bars. These bars can be shown vertically or horizontally. The length or height of each bar is equal to the data value it represents. The bars can be any color and can have either a clustered or stacked presentation.

Let us understand how a bar graph works with a simple example.

    Data Set:
    - Apples: 4
    - Bananas: 7
    - Oranges: 5

We can represent this information in a bar graph. See the example below:

0246AppleBananasOranges

In this simple bar graph:

  • The height of a strip of apples is 4.
  • The height of the banana strip is 7.
  • The height of the orange strip is 5.

Parts of a bar graph

  • Title: This tells what the bar graph is about. For example, "Number of Fruits" tells us that the graph shows the number of fruits.
  • Axes: A bar graph has two axes - one horizontal and one vertical. The bars run along one axis and the value associated with each bar is on the other axis.
  • Bars: These show data. Each bar represents a category, and the height or length shows the value.
  • Label: Each bar has a label that tells us which category it represents.
  • Values: Numbers plotted on the vertical or horizontal axis, indicating the size of the bars.

Let us learn in detail how to create a bar graph and study it with another example.

Another example of a bar graph

Imagine you went to the zoo and counted how many different animals you saw. Here is what you counted:

    Data Set:
    - Leo: 2
    - Elephants: 3
    - Penguins: 10

Let's create a bar graph using this data:

0246810LionsElephantsPenguins

In this new bar graph:

  • The Lions bar height is 2".
  • A strip of elephants is 3 feet high.
  • The penguin 's height is 10, indicating that you've seen more penguins than any other animal.

Create your own bar graph

Creating a bar graph is fun and easy. Here's how you can make your own bar graph:

  1. Collect data: Think about what you want to represent. For example, how many toys of each type do you have - cars, dolls, balls, etc.?
  2. Decide on categories: Each type of toy is a category.
  3. Create the axes: You'll need a horizontal (side-by-side) line and a vertical (up and down) line that form an L shape.
  4. Label the axes: Label the bottom axis with categories (e.g., cars, dolls, balls) and the side axes with numbers for counting.
  5. Make strips: For each category, make a strip that goes up to the correct number of toys you have.
  6. Title your graph: Give your graph a title that tells people what the data is about.

Remember, each bar represents a specific category and the height tells you how much or how many people are in that category.

Why use a bar graph?

Bar graphs are very useful. They help us:

  • Quickly see which items are higher or lower than others.
  • Understand large numbers more easily.
  • Compare different categories at a glance.

With the help of a bar graph, you can quickly figure out which category is the largest or the smallest. It's like a picture that helps you see the numbers without having to count everything. Imagine you're trying to count a hundred blocks one by one. Instead, you can just look at the bar and immediately understand which stack is the tallest.

Bar graphs in the real world

Bar graphs are used everywhere, such as in schools to compare students' scores, in stores to see which items sell the most, and even on TV to show the weather. They help people see patterns and make decisions based on the information shown.

Think of the weather forecast on TV. It might use a bar graph to show the temperature for each day, so you can easily see which day is the hottest or coldest.

Practice with bar graphs

Let's practice creating a bar graph with a simple set of data:

Data set: You measured how long you played different games in a week:

  • Hide and Seek: 5 hours
  • Tag: 2 hours
  • Puzzle: 3 hours

To create a bar graph:

  1. Create an axis: Create a horizontal axis and write the names of the games on it.
  2. Label the vertical axis: Mark it with numbers up to the largest data point, which is 5.
  3. Create bars: Each bar represents hours spent playing that game.
  4. Title the graph: Call it "Hours Spent Playing Games."

More examples of bar graphs

Here's another example your teacher can use in class:

Imagine your teacher asks all students about their favorite ice cream flavor. She counts how many students like which flavor:

    Data Set:
    - Chocolates: 8
    - Vanilla: 5
    - Strawberry: 3
    - Mints: 4

Your teacher then creates a bar graph with the data. When you look at the graph, the bars show you:

  • Chocolate bar is at 8 - most liked!
  • Vanilla's bar is at 5.
  • The strawberry bar is at 3.
  • Mint bar is at 4.

You can immediately see that most of your friends love chocolate ice cream.

Hints and tips

Here are some tips for reading and creating bar graphs:

  • Keep it simple: Use labels that are easy to understand.
  • Use colors wisely: Different colors can help differentiate different bars or categories.
  • Check your numbers: Make sure the height of each bar matches the number it represents.

Now, you are ready to understand and create your own bar graphs! With practice, you will become more comfortable and be able to show and understand data easily.


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Bar Graphs

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