1. Probability and Statistics

2. Info Todd Smith Math Instructional Specialist

3. Today’s Goals Discuss various teaching strategies We will:
Explore the connection of concepts within a grade and the progression of concepts between grades
Discuss various teaching strategies
Engage in various activities that we might use in the classroom

4. Statistics and Probability
Students view statistical reasoning as a 4 step process
· Formulate questions that can be answered with data
· Design and use a plan to collect relevant data
· Analyze the data with appropriate methods
· Interpret results and draw valid conclusions from the data that relate to the questions posed.

5. Statistics and Probability
Students view statistical reasoning as a 4 step process
· Formulate questions that can be answered with data
· Design and use a plan to collect relevant data
· Analyze the data with appropriate methods
· Interpret results and draw valid conclusions from the data that relate to the questions posed.

6. Statistics and Probability
Students view statistical reasoning as a 4 step process
· Formulate questions that can be answered with data
· Design and use a plan to collect relevant data
· Analyze the data with appropriate methods
· Interpret results and draw valid conclusions from the data that relate to the questions posed.

7. Statistics and Probability
Students view statistical reasoning as a 4 step process
· Formulate questions that can be answered with data
· Design and use a plan to collect relevant data
· Analyze the data with appropriate methods
· Interpret results and draw valid conclusions from the data that relate to the questions posed.

8. Statistics and Probability
Students view statistical reasoning as a 4 step process
· Formulate questions that can be answered with data
· Design and use a plan to collect relevant data
· Analyze the data with appropriate methods
· Interpret results and draw valid conclusions from the data that relate to the questions posed.

10. How much money does the President of the United States make in a Year?

11. How much money does the Prime Minister of Sweden make?
How much money does the President of the United States Make in a Year?
How much money does the Prime Minister of Sweden make?

12. How much money does an American worker make?
How much money does the President of the United States Make in a Year?
How much money does the Prime Minister of Sweden make?
How much money does an American worker make?

13. How much money does a Swedish worker make?
How much money does the President of the United States Make in a Year?
How much money does the Prime Minister of Sweden make?
How much money does an American worker make?
How much money does a Swedish worker make?

14. Statistical Question
Discuss what a statistical question is and give examples.
Discuss various examples and non examples
Have students work through a sorting activity in which they separate statistical and non-statistical questions
Have students come up with their own real life situations and create their own statistical and non statistical questions
Share out questions as a class and sort into the two categories

15. Statistical Question
Discuss what a statistical question is and give examples.
Discuss various examples and non examples
Have students work through a sorting activity in which they separate statistical and non-statistical questions
Have students come up with their own real life situations and create their own statistical and non statistical questions
Share out questions as a class and sort into the two categories

16. Statistical Question Discuss various examples and non examples
Discuss what a statistical question is and give examples.
Discuss various examples and non examples
Have students work through a sorting activity in which they separate statistical and non-statistical questions
Have students come up with their own real life situations and create their own statistical and non statistical questions
Share out questions as a class and sort into the two categories

17. Statistical Question
Discuss what a statistical question is and give examples.
Discuss various examples and non examples
Have students work through a sorting activity in which they separate statistical and non-statistical questions
Have students come up with their own real life situations and create their own statistical and non statistical questions
Share out questions as a class and sort into the two categories

18. Statistical Question
Discuss what a statistical question is and give examples.
Discuss various examples and non examples
Have students work through a sorting activity in which they separate statistical and non-statistical questions
Have students come up with their own real life situations and create their own statistical and non statistical questions
Share out questions as a class and sort into the two categories

19. Statistical Question
Discuss what a statistical question is and give examples.
Discuss various examples and non examples
Have students work through a sorting activity in which they separate statistical and non-statistical questions
Have students come up with their own real life situations and create their own statistical and non statistical questions
Share out questions as a class and sort into the two categories

20. Describing Data
Students can build on prior knowledge to describe the shape of a set of data by creating visuals

21. Describing Data
Students can build on prior knowledge to describe the shape of a set of data by creating visuals
Symetric

22. Describing Data
Students can build on prior knowledge to describe the shape of a set of data by creating visuals
Skewed left
Negative Skew
Symetric

23. Describing Data
Students can build on prior knowledge to describe the shape of a set of data by creating visuals
Skewed left
Negative Skew
Symetric
Skewed Right
Positive Skew

24. Introduce the need for measures of variability
Two sets of grades on math tests
Student A: 29, 45, 50, 70, 98, 99, 99
Student B: 64, 67, 69, 70, 72, 73, 75
Who is the better student?

25. Relating measure of center and variability to their context
Situation Mean Mad
Diameter of a tire in in
Number of chocolate chips
in a chocolate chip muffin 
Number of bb’s in a bb box