Grade: Grade 2 Subject: Mathematics Unit: Graphs & Data SAT: ProblemSolving+DataAnalysis ACT: Math

Picture Graphs

Learn

Picture graphs use pictures or symbols to show data. They are fun to read and easy to understand!

What Is a Picture Graph?

A picture graph (also called a pictograph) uses pictures or symbols to show information. Each picture stands for a certain number of things.

Parts of a Picture Graph

  • Title: Tells what the graph is about
  • Pictures/Symbols: Small images that represent data
  • Labels: Tell what each row represents
  • Key: Tells what each picture stands for

The Key Is Important!

Always look at the key first! The key tells you how much each picture is worth.

  • Sometimes each picture = 1
  • Sometimes each picture = 2
  • Sometimes each picture = 5 or 10!

Reading a Picture Graph

To find out how many:

  1. Look at the key to see what each picture means
  2. Count the pictures in the row you want
  3. Multiply or add based on the key

Worked Examples

Example 1: Reading a Picture Graph (Key = 1)

Problem: Look at this picture graph of pets. Each star = 1 pet.

  Dogs:  * * * * *     (5 stars)
  Cats:  * * * *       (4 stars)
  Fish:  * * * * * * * (7 stars)
  Key: * = 1 pet
            

How many fish are there?

Step 1: Check the key: each star = 1 pet

Step 2: Count the stars in the Fish row: 7 stars

Answer: There are 7 fish

Example 2: Picture Graph with Key = 2

Problem: Look at this graph. Each smiley = 2 students.

  Walk:  :) :) :)      (3 smileys)
  Bus:   :) :) :) :)   (4 smileys)
  Car:   :) :)         (2 smileys)
  Key: :) = 2 students
            

How many students take the bus?

Step 1: Check the key: each smiley = 2 students

Step 2: Count smileys for Bus: 4 smileys

Step 3: Multiply: 4 x 2 = 8

Answer: 8 students take the bus

Example 3: Comparing in a Picture Graph

Problem: Using the same graph, how many more students take the bus than walk?

Step 1: Bus: 4 smileys x 2 = 8 students

Step 2: Walk: 3 smileys x 2 = 6 students

Step 3: Subtract: 8 - 6 = 2

Answer: 2 more students take the bus than walk

Example 4: Finding the Total

Problem: How many students in all?

Step 1: Walk: 3 x 2 = 6

Step 2: Bus: 4 x 2 = 8

Step 3: Car: 2 x 2 = 4

Step 4: Add: 6 + 8 + 4 = 18

Answer: 18 students in all

Example 5: Making a Picture Graph

Problem: Make a picture graph for: Apples = 6, Oranges = 4, Bananas = 8. Use a key where each picture = 2.

Step 1: Figure out how many pictures: Apples = 6/2 = 3 pictures, Oranges = 4/2 = 2 pictures, Bananas = 8/2 = 4 pictures

  Apples:  * * *
  Oranges: * *
  Bananas: * * * *
  Key: * = 2 fruits
              

Practice Problems

Use this picture graph to answer the questions:

  Books Read This Month

  Sara:  @ @ @ @ @     (5 books)
  Tom:   @ @ @         (3 books)
  Kim:   @ @ @ @ @ @   (6 books)
  Ben:   @ @ @ @       (4 books)

  Key: @ = 2 books
          

Problem 1: How many books did Sara read?

Show Answer

10 books (5 symbols x 2 = 10)

Problem 2: Who read the most books?

Show Answer

Kim (6 symbols x 2 = 12 books)

Problem 3: How many books did Tom read?

Show Answer

6 books (3 x 2 = 6)

Problem 4: How many more books did Kim read than Tom?

Show Answer

6 more books (Kim: 12, Tom: 6, 12 - 6 = 6)

Problem 5: How many books did Ben read?

Show Answer

8 books (4 x 2 = 8)

Problem 6: Who read the fewest books?

Show Answer

Tom (only 6 books)

Problem 7: How many books did all four children read together?

Show Answer

36 books (10 + 6 + 12 + 8 = 36)

Problem 8: Did Sara and Tom together read more or less than Kim?

Show Answer

More (Sara + Tom = 10 + 6 = 16, Kim = 12)

Problem 9: If each symbol equaled 1 book instead, how many books would Kim have read?

Show Answer

6 books (just count the symbols)

Problem 10: What does the key tell us?

Show Answer

The key tells us that each @ symbol stands for 2 books.

Check Your Understanding

Question 1: What is a picture graph?

Show Answer

A picture graph uses pictures or symbols to show data. Each picture represents a certain amount.

Question 2: Why is the key so important?

Show Answer

The key tells you what each picture stands for. Without the key, you would not know how much each picture is worth!

Question 3: If each star equals 5 and there are 4 stars, how many is that?

Show Answer

20 (4 x 5 = 20)

Question 4: How are picture graphs different from bar graphs?

Show Answer

Picture graphs use pictures or symbols, while bar graphs use rectangles (bars). Both show data, but they look different.

Next Steps

  • Create: Make a picture graph about your favorite things
  • Explore: Look for picture graphs in books and magazines
  • Challenge: Make a picture graph where each picture equals 5
  • Compare: Show the same data as both a picture graph and a bar graph