In this lesson, you will use multiple ways to visualize information and decide which ways of visualizing are better for various types of information. Consider these questions as you work through this lesson:

What does this organization of data tell us? What does it not tell us?

Is there a more useful way to visualize this information?

2-1. HOW MANY PETS?

Many people have pets. Some people have many more than others. Some people have none.

Write your initials on one of the sticky dots. Place a sticky dot above the number of pets you have on the class dot plot. If there are dots already over your number, place yours directly above them so that all of the dots form a neat “tower” over that number.

Which number of pets has the most occurrences in your class? Which has the fewest? How can you tell by looking at the dot plot?

How many pets do most of the students in your class have? How did you determine your answer?

Can you tell by looking at the dot plot whether anyone has the same type of pet(s) as you? Why or why not?

What other information can you determine from the class dot plot? Are there other questions you could ask about pets to create a different graph?

2-2. CATS AND DOGS

In the previous problem you looked at the number of pets that your classmates had. What if you want to know the types of pets people have?

For this activity, place your initials on two sticky dots. Then place one sticky dot on the class bar graphand one on the Venn diagram(shown below right). Then answer the questions below.

Were you able to place your dot easily on both graphs? Was there anyone who had a hard time placing their dot on either of the graphs? Explain.

Is there any information that is easier to see from looking at the bar graph?The Venn diagram?

What kinds of information are best represented in bar graphs? Venn diagrams?

Does the order of the bars matter on a bar graph?

2-3. Given the data in the table below, create a graph. Decide if a dot plot, bar graph, or Venn diagram will work best.

2-4. Mr. Reed surveyed his class to see how many siblings his students had. Create a graph of the data he collected, shown below. Decide if a dot plot or bar graph will work best.

1, 0, 2, 2, 3, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 5, 1, 3, 2, 0, 1, 2, 1, 1, 1, 2, 1

2-5. LEARNING LOG

In your Learning Log, explain how bar graphs are similar to and different from dot plots. What additional information can a Venn diagram provide? Title this entry “Bar Graphs and Venn Diagrams” and label it with today’s date.

2-6. For the problem below, display the data using a dot plot, bar graph, or Venn diagram. Decide which type of data display is best and explain why.

Appliances sold at Housemart during the month of September:

Washers: 35 Dryers: 21 Ovens: 19

Refrigerators: 27 Dishwashers: 23

2-7. Elizabeth wants to challenge you to a “Toothpicks and Tiles” game. Using exactly 6tiles, solve her challenges below. Justify your answers with pictures and labels.

A. Find a pattern where the number of toothpicks is more than double the number oftiles.

B. Find a pattern where the number of toothpicks is 4 more than the number oftiles.

2-8. On a hot summer day, Leo and Stefano decided to buy some refreshments at the Fruit and Smoothies store. Fruit kabobs cost $1.75 each and smoothies cost $2.50 each.

Leo ordered two fruit kabobs and one smoothie. How much did he spend?

Stefano ordered three fruit kabobs and four smoothies. How much did hespend?

Arturo could not decide, but he had $9.00 he could spend on fruit kabobs and smoothies. He knows he wants at least one of each. What are some combinations he can afford? (Show at least three possibilities.)

2-9. Lulu is playing “Toothpicks and Tiles” from Lesson 1.1.2. She has arranged 10 tiles as shown below. She wants to rearrange them so that the number of toothpicks remains the same. Draw one possible arrangement of the tiles.

2-10. Add or subtract. Remember to line up the decimal point.

53.199−27.61

155.96+56.232

83.617−36.518