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Probability and
Statistics
Info
Todd Smith
Math Instructional Specialist
[email protected]
http://thinkmath.blog.monroe.edu/
Today’s Goals
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
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.
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.
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.
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.
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.
How much money does the President of the United
States make in a Year?
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 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 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?
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
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
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
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
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
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
Describing Data
Students can build on prior knowledge to describe the
shape of a set of data by creating visuals
Describing Data
Students can build on prior knowledge to describe the
shape of a set of data by creating visuals
Symetric
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
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
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?
Relating measure of center and variability to their context
Situation
Diameter of a tire
Mean
17 in
Mad
.01 in
Number of chocolate chips
in a chocolate chip muffin
17
8
Number of bb’s in a bb box
1000
8