standard_description: Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
problem_activity: Narrative
The purpose of this How Many Do You See is for students to begin recognizing quantities represented on fingers without having to count. In this warm-up, students see numbers greater than 5, requiring 2 hands to represent. Students show the number with their fingers before answering, “How many do you see?" At this point, some students may still need to count, however with repeated exposure to quantities represented with fingers, they will begin to recognize numbers 1–10. As students make use of the structure of 5 fingers on each hand (MP7), they look for and express regularity in repeated reasoning through subitizing (MP8).
Launch
Groups of 2.
“How many do you see? How do you see them?”
Display 5 fingers.
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Activity
“Discuss your thinking with your partner.”
30 seconds: partner discussion
Share responses.
“Use your fingers to show how many there are.”
Repeat with 6 fingers and 7 fingers.
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Student Response
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Activity Synthesis
“Work with your partner. One person show 6 with your fingers. One person show 7 with your fingers.”
“Who is holding up fewer fingers? How do you know?” (The person with 6 fingers up is holding up fewer fingers. There is only 1 finger up on the extra hand.)
“6 is less than 7.”


aligns: no