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The purpose of the discussion is to clarify the meaning of function notation and how it is connected to previous understanding of coordinate pairs. Select students to share their solutions. Here are some questions for discussion:
Draw a graph of a function that has these properties:
Han draws this graph for . What is the error?
Use Stronger and Clearer Each Time to give students an opportunity to revise and refine their response to Han’s error. In this structured pairing strategy, students bring their first draft response into conversations with 2–3 different partners. They take turns being the speaker and the listener. As the speaker, students share their initial ideas and read their first draft. As the listener, students ask questions and give feedback that will help clarify and strengthen their partner’s ideas and writing.
If time allows, display these prompts for feedback:
Close the partner conversations, and give students 3–5 minutes to revise their first draft. Encourage students to incorporate any good ideas and words they got from their partners to make their next draft stronger and clearer.
After Stronger and Clearer Each Time, select students to share their responses.
Display this graph for all to see.
Ask students to discuss with a partner: “Jada draws this graph as . Do you agree or disagree? Explain your reasoning.” (I agree. It has all the required points and is a function since the 4 inputs each have only 1 output. She may be thinking of a situation in which it does not make sense to have a non-integer as an input, such as the number of people who are doing something.)