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The purpose of this Number Talk is to elicit strategies and understandings students have for adding within 100. These understandings help students develop fluency and will be helpful later in this lesson when students need to add to find the total number of students represented in a picture graph. When students use strategies based on place value to add, they look for and make use of structure (MP7).
This is the first time students experience the Number Talk routine in IM Grade 3. Students should be familiar with this routine from a previous grade. However, they may benefit from a brief review of the steps involved.
Find the value of each expression mentally.
The purpose of this activity is for students to read a scaled picture graph. A scale of 5 is used to encourage skip-counting because students skip-counted by 5 in grade 2. The questions in the task focus on the structure of a scaled picture graph and the strategies students can use to read them.
A group of students were asked, “Which of these 4 sports is your favorite?” Their responses are shown in this picture graph:
How many students are represented in the graph? _______________
The students’ responses are also shown in this picture graph:
How is counting the total number of students in this graph different from counting the total number of students in the first graph?
The purpose of this activity is for students to interpret a scaled picture graph and write questions that can be asked based on the data represented in a scaled picture graph.
Andre collects data about 4 types of flowers he sees on the way home. The data is shown in this picture graph:
How many of each type of flower did Andre see on the way home?
roses _____
tulips _____
daisies _____
violets _____
A group of students were asked, “Which is your favorite type of book?” Their responses are shown in this picture graph:
Display the images of the two “Favorite Sports” graphs.
“Today we learned about scaled picture graphs. Why would we make a scaled picture graph?” (When there is a lot of data to represent, it is faster to use a scale greater than 1.)
“How is reading scaled picture graphs different from reading picture graphs that have a scale of 1?” (In a scaled picture graph, each picture doesn’t represent 1 thing, so you need to use the key. In a scaled picture graph, you can count by a number greater than 1 to find the total in each category.)
Math Community
After the Cool-down, ask students to individually reflect on the questions “Which ‘Doing Math’ action did you feel was most important in your work today? Why?” Students can write their responses on the bottom of their Cool-down paper, on a separate sheet of paper, or in a math journal.
Collect and read their responses after class. These responses will offer insight into how students feel about their own mathematical work and how you make personal connections to the norms students will create during Days 4–6.