Lesson 11
Questions About Data
Warmup: Number Talk: Make a Ten with 3 Addends (10 minutes)
Narrative
The purpose of this Number Talk is to elicit the ways students use their understanding of the properties of operations and the structure of whole numbers to add within 20 (MP7). Each expression is designed to encourage students to look for ways to make a ten by looking for two addends they know make a ten or by decomposing one addend to make a ten with another. The ability to find ways to make a ten will help students develop fluency within 20 and will be helpful later in this lesson and in upcoming lessons when students add and subtract within 20.
Launch
 Display one expression.
 “Give me a signal when you have an answer and can explain how you got it.
 1 minute: quiet think time
Activity
 Record answers and strategy.
 Keep expressions and work displayed.
 Repeat with each expression.
Student Facing
Find the value of each sum mentally.
 \(3 + 7\)
 \(3 + 7 + 2\)
 \(5 + 7\)
 \(2 + 4 + 8\)
Student Response
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Activity Synthesis
 “How does looking for ways to make a ten make it easier to find the values of these expressions?”
Activity 1: Write Questions Based on Graphs (15 minutes)
Narrative
The purpose of this activity is for students to ask questions that can be answered about a given set of categorical data represented in picture and bar graphs. Students will decide which graph can be used to answer each question, so students should be encouraged to mix up the order of the questions.
Advances: Representing, Conversing
Required Materials
Materials to Gather
Required Preparation
 Each student needs the picture graph and bar graph they created in the previous lesson.
Launch
 Groups of 2
 Give each student their graphs from the previous lesson or prompt students to retrieve their graphs.
Activity
 “Now you will be writing questions that you could ask about the data in your graphs.”
 “Write 2 questions for each graph, but don’t put them all in order.”
 “Your classmates will have to think about which graph to use to answer your questions.”
 “Write at least 1 question that requires someone to combine or compare two categories.”
 8 minutes: independent work time
 Monitor for a variety of questions that students create that would require combining or comparing two or more categories.
 “Switch questions with a partner. Make sure you have questions that can be answered by the graphs.”
 4 minutes: partner discussion
Student Facing
Write 4 questions you could ask about the data in your graphs. Make sure you have 2 for each graph.

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Bonus question:
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Student Response
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Advancing Student Thinking
If students only write questions that ask others to answer how many are in a category, consider asking:
 "How many categories would someone need to look at to answer your question(s)?"
 "What is a question you could write that asks someone to compare two categories on your graph?"
 "What is a question you could write that asks someone to find the total of two or more categories on your graph?"
Activity Synthesis
 Invite previously identified students to share the questions that they created that would require combining or comparing two more more categories.
 "How do you know these questions will require someone to combine or compare the totals of two or more categories?" (The questions ask about two or more categories. It doesn't just ask to tell how many are in one category or which category had the most. I see words like "how many more" or "how many less.")
 “If you would like, you can revise your questions or add a bonus question.”
Activity 2: Answer Questions Using Graphs (20 minutes)
Narrative
The purpose of this activity is for students to answer questions about the data represented by their picture graphs and bar graphs. Students switch workbooks with a new partner, which is an opportunity for students to view each other’s work and see different representations of data. While students are answering questions based on different graphs, identify the questions that are harder for students to answer. These questions can be discussed in the lesson synthesis. In upcoming lessons, students will have more opportunities to work with questions that require comparing categories.
Supports accessibility for: Conceptual Processing, Memory
Required Materials
Materials to Gather
Required Preparation
 Each student needs the picture graph and bar graph they created in the previous lesson.
Launch
 Groups of 2: different partner than previous activity
 “Tear out the page in your books labeled ‘Answering Questions Using Graphs.’”
Activity
 “Now you are going to answer questions a different partner has written about their graphs.”
 “Write your name and your partner’s name on the top of the page.”
 “Trade graphs and questions with your partner. Answer each of the questions your partner wrote.”
 6 minutes: independent work time
 “Discuss the questions and answers with your partner to see if you agree.”
 6 minutes: partner discussion
 Monitor for students who mention the graph features like the title or labels when answering, "How did you know where to find the answer to each question?"
Student Facing
Answer your partner’s questions from Activity 1 using the graphs.

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How did you know where to find the answer to each question?
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Student Response
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Activity Synthesis
 Select 2–3 identified students to share a question they answered and how they knew where to find the answer.
Lesson Synthesis
Lesson Synthesis
“Today you asked and answered questions based on data represented in picture graphs and bar graphs.”
"What kinds of questions were easier to answer? Which kinds of questions were more difficult to answer?"
“Where did you look on each graph to find the answers to questions?”
Cooldown: Questions About Data (5 minutes)
CoolDown
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Student Section Summary
Student Facing
In this section we represented data in picture graphs and bar graphs and used them to answer questions.
A picture graph is an organized way to share data using pictures of the objects.
A bar graph is an organized way to share data using the height or length of rectangles to show how many in each category or group.
We can use these graphs to answer the questions below.
 How many students chose a dog?
 How many more students chose cats than chose lizards?
 How many students voted for their favorite pet?