Data & ProbabilityData & ProbabilityData & ProbabilityData & Probability

Math Methods IIMath Methods IIMath Methods IIMath Methods II

Common Core State Common Core State StandardsStandards

Statistics & ProbabilityStatistics & Probability

Common Core State Common Core State StandardsStandards

Statistics & ProbabilityStatistics & Probability

Interpreting categorical and quantitative data S-IDInterpreting categorical and quantitative data S-IDData on a single count or measurement variableData on a single count or measurement variableData on two categorical and quantitative variablesData on two categorical and quantitative variablesInterpret linear modelsInterpret linear models

Making inferences and justifying conclusions S-ICMaking inferences and justifying conclusions S-ICEvaluate random processes underlying statistical experimentsEvaluate random processes underlying statistical experimentsSample surveys, experiments and observational studiesSample surveys, experiments and observational studies

Conditional probability & rules of probability S-CPConditional probability & rules of probability S-CPUse independence & conditional probability to interpret dataUse independence & conditional probability to interpret dataCompute probabilities of compound events in uniform modelCompute probabilities of compound events in uniform model

Use probability to make decisions S-MDUse probability to make decisions S-MDCalculate expected values and use to solve problemsCalculate expected values and use to solve problemsUse probability to evaluate outcomes of decisionsUse probability to evaluate outcomes of decisions

Hot Dog Eating Hot Dog Eating ContestContest

Hot Dog Eating Hot Dog Eating ContestContest

QuickTime™ and a decompressor

are needed to see this picture.

What questions do you have?What questions do you have?

Hot Dog Eating Hot Dog Eating ContestContest

Hot Dog Eating Hot Dog Eating ContestContest

In 2004, Takeru Kobayashi set the world In 2004, Takeru Kobayashi set the world

record for hot dog eating with 53.5 dogs in record for hot dog eating with 53.5 dogs in

12 minutes.12 minutes.

He broke his record in 2012 by eating 69 He broke his record in 2012 by eating 69

hot dogs in 10 minutes.hot dogs in 10 minutes.

Create a table in Core Math: Data Analysis Create a table in Core Math: Data Analysis

of how many hot dogs he eats in total per of how many hot dogs he eats in total per

minute. minute.

Core MathCore MathCore MathCore Math

ScatterplotsScatterplots

Movable line--estimate regressionMovable line--estimate regression

Least SquaresLeast Squares

Model lineModel line

Confidence Bands (95%, 99%)Confidence Bands (95%, 99%)

Models: exponential, power, logarithmic, cubicModels: exponential, power, logarithmic, cubic

The Blood DriveThe Blood DriveThe Blood DriveThe Blood Drive

In the United States, approximately 10% of the In the United States, approximately 10% of the

population has type B blood. A person with type B population has type B blood. A person with type B

blood can donate blood to a person with type B or blood can donate blood to a person with type B or

type AB and can receive from a person with type B type AB and can receive from a person with type B

or type O blood.or type O blood.

There is a shortage of type B blood so you are going There is a shortage of type B blood so you are going

to run a blood drive. What is the probability that you to run a blood drive. What is the probability that you

will get at least 4 type B blood donors if 20 come to will get at least 4 type B blood donors if 20 come to

the blood drive in one day?the blood drive in one day?

Tinkerplots/FathomTinkerplots/FathomTinkerplots/FathomTinkerplots/Fathom

Data analysis toolData analysis tool

Frequencies, histograms, mean, median, Frequencies, histograms, mean, median,

box plotsbox plots

Fathom is more comprehensiveFathom is more comprehensive

Final Class: Lead Final Class: Lead DiscussionDiscussion

Final Class: Lead Final Class: Lead DiscussionDiscussion

1. Problem: Identify a problem that lends itself to discussion. Allow 5 minutes to complete/try the problem or let us know ahead.

2. Differentiation: For students who get through the problem more quickly, be ready with an extension of the problem.

3. Anticipation: what issues are there with students’ thinking with this problem? Cite an entry in the Encyclopedia of Algebraic Thinking or one article (consider using Google Scholar and/or ERIC). Explain what you will be looking for as your students discuss this problem.

4. Objective(s): State what you hope to achieve. SWBT…

Final Class: Lead Final Class: Lead DiscussionDiscussion

Final Class: Lead Final Class: Lead DiscussionDiscussion

5. Standard(s): State at least one content Common Core State Standard and Mathematical Practice that you are addressing with this discussion

6. Math Practices for Discussion: Use math practices as you lead us in conversation about the problem. You have 10-15 minutes for discussion. a. Anticipating students’ solutions b. Monitoring student work on the task c. Selecting approaches and students to share them d. Sequencing students’ presentations purposefully e. Connecting students’ approaches and the underlying mathematics

7. Reflection: Turn in the problem, citation and explanation of anticipated student thinking, objective(s), and standard(s), and a 1-2 paragraph reflection on what you learned about your students’ thinking vs. what you anticipated through the discussion.