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Explore factors affecting a school fundraiser's success using mean, median, and mode. Connect verbal descriptions to tables and graphs for clearer understanding. Dive into patterns and expressions to predict earnings accurately.
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Connecting a Verbal Description to Table & Graph PART 1 Common Core #4 & #13 Mean, Median, and Mode
Connecting a Verbal Description to Table & Graph The Math and Science Team at Smedley Middle School must decide on several fund-raisers to pay entry fees for contest and other expenses. In August, the students decide to have a Problem-A-Thon. Each student will work as many problems as possible in 20 minutes, they will get sponsors to give donations based on how many problems they work correctly. What factors might affect the success of the fund raiser? Mean, Median, and Mode
POSSIBLE ANSWERS Community Support How much $ per problem Calculators Regular or word problems Student motivation Beginning of school Mean, Median, and Mode These are all variables but which is most important?
Connecting a Verbal Description to Table & Graph Since it is a fundraiser, how much money raised and how many problems correct are the two most important variables. Mean, Median, and Mode
Connecting a Verbal Description to Table & Graph So lets say, M = money raised And p = correct problems (1)Which is a function of the other? (2)Which variable is dependent? Independent? (3) Write this in function notation. Mean, Median, and Mode
ANSWERS (1)Money raised is a function of correct problems worked. So,(2) money is the dependent variable and correct problems worked is the independent variable. (3) M(p) = p Mean, Median, and Mode
Connecting a Verbal Description to Table & Graph Ginny gets pledges for $2 per correct answer. Genaro gets pledges for $3 per correct answer. Write these two statements down as we will use them on the next table. Mean, Median, and Mode
Connecting a Verbal Description to Table & Graph (4) Complete the following table based on the two statements. I have started it for you. Mean, Median, and Mode
Correct Table Ginny earns two times the number of problems. For 40, she will earn $80. She will earn $122 for 61. Mean, Median, and Mode (5) Describe in words a pattern that you see in Ginny’s Column? How much will Ginny earn for 40 correct problems? What about 61 correct problems?
Correct Table Genaro earns three times the number of problems. For $45, he will get 15 correct. For $230, he will get 77 correct. Mean, Median, and Mode (6) Describe in words a pattern that you see in Genaro’s Column? How many problems will Genaro need to get correct to earn $45? What about $230?
Correct Table Mean, Median, and Mode (7) Write an expression to represent the ?’s for each process for p problems correctly worked.
ANSWERS Mean, Median, and Mode (7) Write an expression to represent the ?’s for each process for p problems correctly worked.