probability and statistics. todd smith math instructional specialist [email protected] ...
TRANSCRIPT
Probability and Statistics
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
Today’s Goals
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?
• 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
Statistical Question
Describing DataStudents can build on prior knowledge to describe the shape of a set of data by creating visuals
Describing DataStudents can build on prior knowledge to describe the shape of a set of data by creating visuals
Symetric
Describing DataStudents can build on prior knowledge to describe the shape of a set of data by creating visuals
SymetricSkewed leftNegative Skew
Describing DataStudents can build on prior knowledge to describe the shape of a set of data by creating visuals
SymetricSkewed leftNegative Skew
Skewed RightPositive 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?
Situation Mean MadDiameter of a tire 17 in .01 in Number of chocolate chips 17 8in a chocolate chip muffin
Number of bb’s in a bb box 1000 8
Relating measure of center and variability to their context