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Chapter 15. 15 | 2 Copyright © Cengage Learning. All rights reserved. Making Sense of Our World Through Technology, Data Analysis and Probability.

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Presentation on theme: "Chapter 15. 15 | 2 Copyright © Cengage Learning. All rights reserved. Making Sense of Our World Through Technology, Data Analysis and Probability."— Presentation transcript:

1 Chapter 15

2 15 | 2 Copyright © Cengage Learning. All rights reserved. Making Sense of Our World Through Technology, Data Analysis and Probability

3 15 | 3 Copyright © Cengage Learning. All rights reserved. Mathematical Routine: Human Calculator 1 2 3 4 5 6 7 8 9 0

4 15 | 4 Copyright © Cengage Learning. All rights reserved. Conversation in Mathematics Discuss how technology is used to support problem solving for this student. What connections is he able to make?

5 15 | 5 Copyright © Cengage Learning. All rights reserved. Technology Integrations Pedagogy

6 15 | 6 Copyright © Cengage Learning. All rights reserved. Technologically Supported Tasks during the Launch Simulations Games Problem-solving software Internet - to collect data

7 15 | 7 Copyright © Cengage Learning. All rights reserved. Using Technological Tools during the explore Calculators / graphing calculators Spreadsheets Virtual manipulatives Web quests & other internet sites

8 15 | 8 Copyright © Cengage Learning. All rights reserved. Using Technological Tools during the summarize

9 15 | 9 Copyright © Cengage Learning. All rights reserved. Data Analysis and Probability Content

10 15 | 10 Copyright © Cengage Learning. All rights reserved. Sorting and Classifying One or two attributes Which doesn’t belong and why Guess my Rule

11 15 | 11 Copyright © Cengage Learning. All rights reserved. Collecting Data Use authentic questions Collect data over time

12 15 | 12 Copyright © Cengage Learning. All rights reserved. Tally Charts frequency table Graphs (line plot, pictograph, bar graph, histogram, circle graph/pie chart, stem-leaf plot)

13 15 | 13 Copyright © Cengage Learning. All rights reserved. Analyzing & Interpreting Graphs What does this graph tell us? Central Tendency: mean, median, mode

14 15 | 14 Copyright © Cengage Learning. All rights reserved. Average Problems The mean weight of 12 boulders is 25 pounds. Adding another boulder increases the mean weight to 29 pounds. How much does the 13th boulder weigh? The mean of a list of seven numbers is 45. If two numbers are added to the list, the mean becomes 37. What is the mean of the two numbers that I added to the list? Construct a set of ten numbers with a mean of 7, a median of 6 and a mode of 3. Author unknown

15 15 | 15 Copyright © Cengage Learning. All rights reserved. Probability Theoretical & Experimental Simple Events Independent & Dependent Events

16 15 | 16 Copyright © Cengage Learning. All rights reserved. Games to Explore Probability Fair/not fair games Possible sums of a 2 dice toss Mystery bags t w


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