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3. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Lesson Goals: Calculate the mean, median, mode, and range. (Q.7.a) Calculate a missing data value given the average and all the missing data values but one, as well as calculating the average, given the frequency counts of all the data values, and calculating a weighted average. (Q.7.a)

4. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING 4 What you will do in this lesson: Think & work alone Think, Pair, Share Cooperative Learning in Small Groups

5. Basic Measures of Central Tendency http://hippocampus.org/HippoCa mpus/?user=leahfelcher&playlist= Measures+of+Central+Tendency 5

6. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Reviewing in Pairs… 6 McGraw Hill Common Core Achieve Student Text p. 260, Vocabulary Review # 1-5 p. 260, Skill Review # 1-4

7. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Calculating Missing Data 7 A web site had 12,000 hits the first day and 16,000 hits the second day. How many hits must it have on the third day to average 20,000 hits a day for the three days?

8. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Multiple Choice Problem 8 Suppose you scored 91 on one quiz and 89 on a second quiz. How many points out of 100 must you score on the third quiz to average 96 for the three quizzes? A. 90 B. 96 C.100 D. There is no way.

9. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Multiple Choice Problem 9

10. Calculating the Average Using Frequency Counts https://www.youtube.com/watch ?v=AUtuOQ205dA 10

11. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Parking Spaces per House 11 Parking SpacesFrequency 115 227 38 45 Given the frequency table, find the mean number of parking spaces to two decimal places. Isabella went up and down Hampton Street to find out how many parking spaces each house had. Here are her results:

12. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Parking Spaces per House 12 Given the frequency table, find the mean number of parking spaces to two decimal places.

13. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Questions to Ponder… 13 How do you think calculating a “weighted average” differs from calculating just a regular average (mean)? When do you think you would find a weighted average instead of a regular average? If you have 4 test scores and one of them counts double, how would you find the average of the scores? Is this a weighted average or a regular average? Justify your answer.

14. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Think about Math, problem 1 14 McGraw Hill Common Core Achieve, Student Text, p.259 A carwash station sold 80 regular carwashes at $8 and 20 premium carwashes at $10. What was the average price of a carwash sold? A. $8.00 B. $8.40 C. $9.00 D. $10.00

15. INSTRUCTIONAL BEST PRACTICES FOR TEACHING QUANTITATIVE PROBLEM SOLVING Think about Math, problem 1 15 McGraw Hill Common Core Achieve, Student Text, p.259 A carwash station sold 80 regular carwashes at $8 and 20 premium carwashes at $10. What was the average price of a carwash sold?