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This engaging 20-minute activity, designed for 10th-grade math students, explores patterns in a hypothetical summer job where the pay doubles each week. Students start with a pay of $0.25 in the first week and analyze how much they would earn in subsequent weeks. They'll calculate at which week their pay will exceed $100 and determine their payment for the 16th week, leading to deeper understanding of exponential growth. Students will graph their results and justify their answers through written analysis, adhering to NCTM and Missouri math standards.
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SUMMER JOB 10th grade math Patterns & Relationships Hazelwood School District Kathy Epperly Teacher Page
Teacher Page This activity addresses NCTM Standard 1,2 and Missouri Standard 2.1, 3.1, 3.5, 4.1. Time: Approximately 20 minutes Materials: Graph paper The first slide which presents the situation has automated animation. Be sure to see the whole slide before proceeding to the next slide. Answers: You would be paid more than $100 the tenth week. Your pay for the 16th week would be $8162
Your summer job consists of mowing yards for 16 weeks. The first week the pay is $0.25. The pay doubles each week.
Your summer job consists of mowing yards for 16 weeks. The first week the pay is $0.25. The pay doubles each week. At what week will the pay be more than $100.00 for the first time? Be sure to show all work! Circle your answer.
What would the pay be for mowing the lawn on the 16th week? GRAPH YOUR RESULTS!
Do you think that your employer can complete the payment using this plan for all 16 weeks? Write a paragraph of at least 5 lines to justify your answer.Use complete sentences and good grammar. The End