Multiplication and Division, Part 1

Lesson 20

Math

Unit 2

3rd Grade

Lesson 20 of 21

Objective


Create scaled bar graphs where the scale must be determined.

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. Decide on a reasonable scale for the numerical axis in a bar graph based on the data to be graphed. 
  3. Represent data in a bar graph in which the axis has an interval of more than one. 
  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).

Tips for Teachers


The process for doing statistics involves four main steps: formulating questions, collecting data, analyzing that data, and interpreting the results. The Anchor Tasks here will involve primarily the third step, for the sake of time. However, on the Problem Set, students will be able to engage with the first three steps by deciding on a question to ask their classmates, collecting that data, and organizing it. While students will do some interpretation of the results in this lesson, 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

Chris is a tailor. He is trying to figure out what color buttons he needs to stock up on. He emptied out his color buttons bucket, as shown below. 

Using the buttons shown above, answer the following questions:

a.   Which button color does Chris have the most of? 

b.   Which button color does Chris have the least of? 

Guiding Questions

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Student Response

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Problem 2

Use the colors of buttons in Anchor Task #1 to create a bar graph below. Remember to label all parts of your graph. 

Guiding Questions

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Student Response

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Problem Set

15-20 minutes


Discussion of Problem Set

  • Could I have asked you all how many minutes it takes you each to get to school and represented it with a bar graph in #1? Why or why not? 
  • What did you decide to use for your scale in #1? Why? 
  • Could you have used a scale of 2 for #2? What about a scale of 4? Why or why not? 
  • What scale did you choose to redo the bar graph in #3? Why? 
  • What scale did you choose for #4? Why couldn’t you use a scale of 5? 

Target Task

5-10 minutes


All the third graders at Littlewood Elementary School were asked about their favorite class. Their answers are recorded in the table below. 

Favorite Classes
Music 15
Technology 24
Reading 18
Gym 13
Math 21

Make a bar graph using the data above. Remember to label all parts of your graph.

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

Solve one- and two-step word problems using information presented in scaled picture and bar graphs.

Lesson 21
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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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