Connecting a Verbal Description to Table Graph PART

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 fundraisers 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 Mean, Median, andthey Modewill get possible in 20 minutes, sponsors to give donations based on how many problems they work correctly. What factors might affect the success of the fund raiser?

POSSIBLE ANSWERS Community Support How much $ per problem Calculators Regular or word problems Mean, Median, and Mode Student motivation Beginning of school 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 Mean, variables. Median, and Mode

Connecting a Verbal Description to Table & Graph So lets say, M = money raised And p = correct problems Mean, Median, and Mode (1)Which is a function of the other? (2)Which variable is dependent? Independent? (3) Write this in function notation.

ANSWERS (1)Money raised is a function of correct problems worked. So, (2) money is the dependent variable and correct problems worked is Mean, Median, and Mode the independent variable. (3) M(p) = p

Connecting a Verbal Description to Table & Graph Ginny gets pledges for $2 per correct answer. Genaro gets pledges for $3 per correct answer. Mean, Median, and Mode Write these two statements down as we will use them on the next table.

Connecting a Verbal Description to Table & Graph (4) Complete the following table based on the two statements. I have started it for you. Correct Problems Process Column Ginny Money Raised by Ginny Process Column Genaro Money Raised by Genaro 5 5 • 2 = 10 $10 5 • 3 = 15 $15 10 10 • 2 = 20 $20 15 20 30 50 70 90 100 Mean, Median, and Mode

Correct Table Correct Problems Process Column Ginny Money Raised by Ginny Process Column Genaro Money Raised by Genaro 5 5 • 2 = 10 $10 5 • 3 = 15 10 10 • 2 = 20 $20 10 • 3 = 30 15 15 • 2 = 30 $30 15 • 3 = 45 20 20 • 2 = 40 $40 20 • 3 = 60 30 30 • 2 = 60 $60 30 • 3 = 90 50 50 • 2 = 100 $100 50 • 3 = 150 70 70 • 2 = 140 $140 70 • 3 = 210 90 90 • 2 = 180 100 • 2 = 200 $15 Ginny $30 earns two times the $30 number of $60 problems. $90 For 40, she will $150 earn $80. $210 She will $270 earn $122 for 61. $300 90 • Mode 3 = 270 $180 Mean, Median, and $200 100 • 3 = 300 (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 Correct Problems Process Column Ginny Money Raised by Ginny Process Column Genaro Money Raised by Genaro 5 5 • 2 = 10 $10 5 • 3 = 15 10 10 • 2 = 20 $20 10 • 3 = 30 15 15 • 2 = 30 $30 15 • 3 = 45 20 20 • 2 = 40 $40 20 • 3 = 60 30 30 • 2 = 60 $60 30 • 3 = 90 50 50 • 2 = 100 $100 50 • 3 = 150 70 70 • 2 = 140 $140 70 • 3 = 210 90 90 • 2 = 180 100 • 2 = 200 $15 Genaro $30 earns three $30 times the $60 number of $90 problems. For $45, $150 he will get $210 15 correct. $270 For $230, he will get $300 77 correct. 90 • Mode 3 = 270 $180 Mean, Median, and $200 100 • 3 = 300 (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 Correct Problems Process Column Ginny Money Raised by Ginny Process Column Genaro Money Raised by Genaro 5 5 • 2 = 10 $10 5 • 3 = 15 $15 10 10 • 2 = 20 $20 10 • 3 = 30 $30 15 15 • 2 = 30 $30 15 • 3 = 45 $30 20 20 • 2 = 40 $40 20 • 3 = 60 $60 30 30 • 2 = 60 $60 30 • 3 = 90 $90 50 50 • 2 = 100 $100 50 • 3 = 150 $150 70 70 • 2 = 140 $140 70 • 3 = 210 $210 90 90 • 2 = 180 100 • 2 = 200 p ? 90 • Mode 3 = 270 $180 Mean, Median, and $200 100 • 3 = 300 $270 $300 ? (7) Write an expression to represent the ? ’s for each process for p problems correctly worked.

ANSWERS Correct Problems Process Column Ginny Money Raised by Ginny Process Column Genaro Money Raised by Genaro 5 5 • 2 = 10 $10 5 • 3 = 15 $15 10 10 • 2 = 20 $20 10 • 3 = 30 $30 15 15 • 2 = 30 $30 15 • 3 = 45 $30 20 20 • 2 = 40 $40 20 • 3 = 60 $60 30 30 • 2 = 60 $60 30 • 3 = 90 $90 50 50 • 2 = 100 $100 50 • 3 = 150 $150 70 70 • 2 = 140 $140 70 • 3 = 210 $210 90 90 • 2 = 180 100 • 2 = 200 p 2 p 90 • Mode 3 = 270 $180 Mean, Median, and $200 100 • 3 = 300 $270 $300 3 p (7) Write an expression to represent the ? ’s for each process for p problems correctly worked.