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The purpose of this Number Talk is to elicit strategies and understandings students have for adding groups of 2 and groups of 5. These understandings help students develop fluency and will be helpful later in this lesson when students need to use data in scaled bar graphs to solve one- and two-step “how many more?” and “how many fewer?” problems. Students use the structure of the expressions and repeated reasoning when they use methods based on skip-counting by 2 or 5 or counting on 2 or 5 from a previous known value (MP7, MP8).
Find the value of each expression mentally.
The purpose of this activity is to introduce the Three Reads math language routine and to solve a two-step “how many fewer?” problem using data presented in a scaled bar graph. The Three Reads routine prompts students to read a problem three times, each for a different purpose. This process supports students in making sense of the problem (MP1).
Because the graph in this activity uses a scale of 5, students may read the data value for nervous as 22, 23, or 25, even though the exact value is 23. For this reason, students’ answers may vary by 1 or 2.
MLR6 Three Reads
A group of students were asked, “Which way do you feel about the new school year?” Their responses are shown in this bar graph:
How many more students are excited about the new school year than are nervous or curious?
The purpose of this activity is for students to practice the Three Reads math language routine on their own and use data presented in a scaled bar graph to solve a two-step “how many more?” problem. Because the graph has a scale of 10, students need to estimate values that do not show an exact multiple of 10. As a result, answers may vary slightly. Accept all answers that align to reasonable estimates.
The Three Reads routine has students read a problem three times for different purposes. This process helps students make sense of the problem and persevere in solving it (MP1).
The bar graph shows how many of the 4 types of trees Clare saw on the way home. Use the graph to answer the questions. Show your thinking using expressions or equations.
Display equations from the first problem in the last activity.
“How did you use what you know about tens and ones to solve the problems?” (Some questions I saw I could just count by 10 on the graph because the scale was 10. We didn’t subtract all at once. We subtracted the tens, then the ones. We were thinking about how to get to the next ten to make adding the tens easier.)
“In the future, how could you use the Three Reads strategy on your own, without a partner?” (I can first read a problem to figure out what it’s about. Then read it again to look for what can be measured or counted. Then read it a third time to think about strategies I could use to solve the problem.)
We created scaled picture graphs and scaled bar graphs.
The key tells what each picture represents in a picture graph.
The scale tells what number each bar represents in a bar graph.
We asked and answered questions about data represented in the graphs.