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Understanding X and Y Intercepts in Real-Life Scenarios

In this lesson, students will learn to interpret the x and y-intercepts through various real-life examples. The agenda includes a warm-up session, a detailed exploration of special cases, and practical exercises interpreting x and y-intercepts. Key examples include analyzing the draining of a swimming pool, Ewa's journey home, temperature changes over time, and a scuba diver's position underwater. By the end of the lesson, students will be able to apply their skills to different scenarios and complete their homework on interpreting intercepts.

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Understanding X and Y Intercepts in Real-Life Scenarios

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  1. SWBAT… interpret x- and y-intercepts Agenda Warm-Up (10 min) x- and y-intercepts; special cases (15 min) Interpreting x and y intercepts (10 min) Warm-Up: HW#2: Interpreting x-and y-intercepts Tues, 12/6

  2. Interpreting x-and y-intercepts Take out HW#2: Interpreting x- and y-intercepts

  3. Swimming Pool x-int: (14, 0): After 14 hours, the water has a volume of 0 gallons, or the pool is completely drained. y-int: (0, 10,080): The pool contained 10,080 gallons of water at time 0, or before it started to drain.

  4. Ewa x-int: (8, 0): It took Ewa 8 minutes to get home. y-int: (0, 4): Ewa was initially 4 miles from home.

  5. Temperature x-int: (2, 0): After 2 minutes, the temperature is 0 degrees F. y-int: (0, -3): At time 0, the temperature is -3 degrees F.

  6. Scuba Diver x-int: (12, 0): After 12 seconds the scuba diver is at a depth of 0 or at the surface. y-int: (0, -24): At time 0, the scuba diver is at a depth of -24 meters, or 24 meters below sea level.

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