Multiplication and Division, Part 1

Lesson 19

Math

Unit 2

3rd Grade

Lesson 19 of 21

Objective


Create scaled bar graphs where the scale is provided.

Common Core Standards


Core Standards

  • 3.MD.B.3 — Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.

Foundational Standards

  • 2.MD.D.10

Criteria for Success


  1. Collect and organize categorical data in a table or tally chart. (Spiral from Grade 2)
  2. Represent data in a bar graph in which the axis has an interval of one. (Spiral from Grade 2)
  3. Represent data in a bar graph in which the axis has an interval of more than one, as given. 
  4. Include all necessary labels in a drawn bar graph, including a title, category labels, and numerical labels (MP.6).
  5. Answer interpretive questions about data in a bar graph that do not involve the use of operations to solve (e.g., which category is the most popular?) (MP.2). 
  6. Understand the purpose of a picture graph as a way to represent a data set to be able to see trends and analyze it more easily (MP.5). 

Tips for Teachers


The process for doing statistics involves four main steps: formulating questions, collecting data, analyzing that data, and interpreting the results. This lesson will address mainly the second and third parts of that process. The first step is left out for the sake of time, and while students will do some interpretation of the results, such as the most or least frequent response, the fourth step will mainly come in Lesson 28.

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Anchor Tasks

25-30 minutes


Problem 1

Determine the favorite season of your classmates. Record their answers in the following chart. 

Season Number of Students
Fall  
Winter  
Spring  
Summer  

Now, record your classmates’ responses on the bar chart below.

Guiding Questions

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Student Response

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Problem 2

Construct a bar graph below using the data you collected in Anchor Task #1. Be sure to label your title and categories.

Guiding Questions

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Student Response

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Problem Set

15-20 minutes


Discussion of Problem Set

  • How did you represent odd values in #2? 
  • How did you determine how many minutes Charlotte spent reading on Friday in #3? On which two days did she read for the same amount of time? How could you tell that in the graph even without knowing exactly what number of minutes? 
  • What made drawing the bar graph in #4 slightly more challenging than previous ones?
  • How did you translate from the picture graph to the bar graph? What do you notice about their scales? What did that mean for how you drew the bar graph? 
  • How did you determine the scale in #6? 
  • Does the information change when a bar graph is drawn horizontally or vertically with the same scale? Why or why not? 
  • How is a bar graph’s scale more precise than a picture graph’s? For example, in what ways would it be more difficult to represent the data in #5 with a picture graph where the scale is 3?

Target Task

5-10 minutes


Problem 1

Raquel kept track of the weather for 60 days. The data she collected is shown below.

  • It was sunny for 40 days. 
  • It was cloudy for 15 days.
  • It was rainy for 5 days.

Which bar graph correctly shows Raquel’s data?

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Student Response

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Problem 2

The bar graph below shows the number of different kinds of coins in Chadwick’s collection. Chadwick also has 25 pennies. Complete the bar graph to show the number of pennies in Chadwick’s collection.

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Create scaled bar graphs where the scale must be determined.

Lesson 20
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Lesson Map

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Topic A: The Meaning of Multiplication and Division

Topic B: Multiplication and Division by 2, 5, and 10

Topic C: Multiplication and Division by 3 and 4

Topic D: More Complex Multiplication and Division Problems

Topic E: Scaled Picture and Bar Graphs

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