Multiplication and Division, Part 1

Lesson 18

Math

Unit 2

3rd Grade

Lesson 18 of 21

Objective


Create scaled picture 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. Understand that the scale of a picture graph is the number of objects/votes that each picture represents. 
  3. Decide on a reasonable scale for the picture in a picture graph based on the data to be graphed. 
  4. Represent data in a picture graph in which each picture represents more than one object/vote. 
  5. Include all necessary labels in a drawn picture graph, including a title, category labels, and a key (MP.6). 
  6. Answer interpretive questions about data in a picture 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

Ms. Lee is trying to sort her pattern blocks to get a sense of how many of each color she has. She emptied her pattern block container on the table, as shown below. 

Using the pattern blocks shown above, answer the following questions:

a.   Which pattern block does Ms. Lee have the most of? 

b.   Which pattern block does Ms. Lee have the least of? 

Guiding Questions

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Student Response

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Problem 2

Use the types of pattern blocks in Anchor Task #1 to create a picture graph. 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 tall you are and represented it with a picture 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 picture graph in #3? Why? 
  • What scale did you choose for #4? What made this problem more difficult than the others on the Problem Set? 

Target Task

5-10 minutes


Students were surveyed about their favorite fruit. The table below shows the number of students that chose each kind of fruit.

Fruit Number of Students
Mango 12
Strawberries 16
Watermelon 8
Peach 14
Grapes 20

Create a picture graph below to show the data. Use a scale larger than 1. 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

Create scaled bar graphs where the scale is provided.

Lesson 19
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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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