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Whose class would you rather be in, if each teacher has different grading schemes?

Mr. Winking’s Grade Weights

Homework Average

10%

Quiz Average

25%

Test Average

45%

Final Exam Grade

20%

Ms. Sand’s Grade Weights

Homework Average

15%

Quiz Average

20%

Test Average

40%

Final Exam Grade

25%



Your Grade Report:

Homework Average: 95%

Quiz Average: 85%

Test Average: 87%

Final Exam Grade: 90%



Step 1: Find your final average for Mr. Winking’s Class (10 points)









Step 2: Find your final average for Ms. Sand’s Class. (10 points)









Step 3: Determine which class you would rather be in. Write in complete sentences. Use your answers from steps 1 and step 2 to justify your answer. (10 points)







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Answer:

Mr. Winking 87.9%

Ms. Sand 88.55%

Ms. Sand's class is better

Step-by-step explanation:

Step 1: Average in Mr. Winking's Class 87.9%

Convert each weight factor to a decimal.

Homework 10% = 0.1

Quiz 25% = 0.25

Test 45% = 0.45

Exam 20% = 0.2

Multiply your grades by the weight factors:

Homework 0.1 X 95% = 9.5%

Quiz 0.25 X 85% = 21.25%

Test 0.45 X 87% = 39.15%

Exam 0.2 X 90% = 18%

Add all of these values:

9.5% + 21.25% + 39.15% + 18%

= 87.9%

Step 2: Average in Ms. Sand’s Class 88.55%

Convert each weight factor to a decimal.

Homework 15% = 0.15

Quiz 20% = 0.2

Test 40% = 0.4

Exam 25% = 0.25

Multiply the weight factors by your grades:

Homework 0.15 X 95% = 14.25

Quiz 0.2 X 85% = 17

Test 0.4 X 87% = 34.8

Exam 0.25 X 90% = 22.5

All all these values:

14.25 + 17 + 34.8 + 22.5

= 88.55%

Step 3:

I would rather be in Ms. Sand's class. My average in her class would be 88.55%, whereas in Mr.Winking's Class, my average would be 87.9%. 88.55% is a higher mark than 87.9% and I want higher marks. Therefore, I would get higher marks in Ms. Sand's class.

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