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In this partner activity, students take turns matching descriptions of situations to graphs of those situations. As students trade roles explaining their thinking and listening, they have opportunities to explain their reasoning and to critique the reasoning of others (MP3).
Arrange students in groups of 2. Display the task. Tell students that for each description, there is a matching graph. If time allows, choose a student as a partner and demonstrate how to set up and do the activity. Otherwise, share these steps:
Use Collect and Display to create a shared reference that captures students’ developing mathematical language. Collect the language that students use to connect the representations. Display words and phrases, such as “constant,” “faster,” “slower,” “start,” “closer,” “intercept,” and “slope.”
Take turns with your partner to match a description with a graph. Be prepared to explain your reasoning.
For each match that your partner finds, listen carefully to the explanation. If you disagree, discuss your thinking and work to reach an agreement.
Mai begins at home and walks away from her home at a constant rate.
Jada begins at a neighbor’s house and walks away from home at a constant rate.
Clare begins her walk at school and walks home at a constant rate.
Elena begins at home and runs away from her home at a constant rate.
Lin begins at home and walks away from home for a while, then walks back home.
Priya begins at home and runs away from home, then walks for a while.
A
B
C
D
E
F
Much discussion takes place between partners. Invite students to share how they connected the description of a real situation to a graphical representation of the situation.
Direct students’ attention to the reference created using Collect and Display. Ask students to share the features they looked for to connect the representations. Invite students to borrow language from the display as needed. As they respond, update the reference to include additional phrases.
Here are some additional questions for discussion:
In your own words, describe these graphs.
The purpose of the discussion is to clarify language to connect graphs to the situations they represent. Select students to share their descriptions. After each description, ask if other students have different ways to describe the situation. Encourage students to be creative in their descriptions. For example, the last graph could be described as a rocket taking off from its “home planet.”