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Understanding Unit Rates and Rates of Change

This lesson explores the concepts of unit rates and rates of change, providing practical examples and exercises to enhance understanding. You will learn how to calculate the unit rate from scenarios such as distance traveled and time taken, and apply this knowledge to real-life situations, such as cell service billing. Engage in group work to solve problems collaboratively, check each other's work, and discuss prior mistakes to improve your grasp of these mathematical concepts.

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Understanding Unit Rates and Rates of Change

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Presentation Transcript

  1. Problem Solving 58-61

  2. What is a unit rate? A Unit Rate is… Example: A car travels 110 miles in 2 hours. Find the unit rate. You try: Explain how to convert 200 miles in 4 hours to a unit rate.

  3. What would you do? Read to Understand Activate a Plan Mathematically Solve Survey (check) your work. Your cell service charges a $30 flat fee which includes 300 free minutes. They do charge a fee for extra minutes. It is $3.75 for 15 extra minutes. What would your total bill be if you had 22 extra minutes?

  4. Your friend’s cell service has a $35 flat fee with an $8.85 fee for 40 extra minutes. She used 35 extra minutes this month. What is her total bill? You try… Read to Understand Activate a Plan Mathematically Solve Survey (check) your work. Explain how unit rates are applicable in the above scenarios.

  5. Group Work Examples • Partners • Work problems together and switch to check. • Come back together and discuss mistakes and reevaluate before moving on…

  6. What is a rate of change? A rate of change is… Example: Find the rate of change

  7. You Try… Find the rate of change

  8. Multi-Step Problems Read to Understand Activate a Plan Mathematically Solve Survey (check) your work.

  9. You Try… What did you find in part a? What unit was used to describe the solution? Why??

  10. HW ideas.. pg. 19 Alg. 1 # 31-36pg. 152 Alg. 1

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