Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Code | Description |
MAFS.912.S-CP.2.6: | Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model. ★ |
MAFS.912.S-CP.2.7: | Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. ★ |
MAFS.912.S-CP.2.8: | Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model. ★ |
MAFS.912.S-CP.2.9: | Use permutations and combinations to compute probabilities of compound events and solve problems. ★ |
Access Point Number | Access Point Title |
MAFS.912.S-CP.2.AP.6a: | Using a two-way table, find the conditional probability of A given within the context of the model. |
MAFS.912.S-CP.2.AP.7a: | Use the addition rule, P(A or B) = P(A) + P(B) – P(A and B). |
MAFS.912.S-CP.2.AP.7b: | Interpret the answer to the Addition Rule within the context of the model. |
Name | Description |
Medical Testing: | This lesson unit is intended to help you assess how well students are able to:
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Name | Description |
History of Probability and the Problem of Points: | What was the first question that started probability theory? Download the CPALMS Perspectives video student note taking guide. |
Name | Description |
Rain and Lightning: | This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions. |
Return to Fred's Fun Factory (with 50 cents): | The task is intended to address sample space, independence, probability distributions and permutations/combinations. |
Alex, Mel, and Chelsea Play a Game: | This task combines the concept of independent events with computational tools for counting combinations, requiring fluent understanding of probability in a series of independent events. |
Coffee at Mom's Diner: | This task assesses a student's ability to use the addition rule to compute a probability and to interpret a probability in context. |
How Do You Get to School?: | This task requires students to use information in a two-way table to calculate a probability and a conditional probability. |
The Titanic 2: | This task lets students explore the concepts of probability as a fraction of outcomes using two-way tables. |
The Titanic 1: | This task asks students to calculate probabilities using information presented in a two-way frequency table. |
Random Walk III: | The task provides a context to calculate discrete probabilities and represent them on a bar graph. |
Random Walk IV: | This problem solving task on probability combinations gives a situation where the numbers are too large to calculate, so abstract reasoning is required in order to compare the different probabilities. |
The Titanic 3: | This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic using a table of data. |
Unexpected Answers: | This lesson is designed to introduce students to statistical situations where the probabilities or outcomes might not be what is first expected. The lesson provides links to discussions and activities motivated by the idea of unexpected answers. Finally, the lesson provides links to follow-up lessons designed for use in succession with an introduction to probability and unexpected answers in probability. |
Name | Description |
Conditional Probability and Probability of Simultaneous Events: | This lesson is designed to further students' practice with probability as well as introduce them to conditional probability and probabilities of simultaneous independent events. The lesson provides links to discussions and activities related to conditional and simultaneous probabilities as well as suggested ways to integrate them into the lesson. Finally, this lesson provides links to follow-up lessons designed for use in succession with this one. |
Name | Description |
The Logic of Drug Testing: | This informational text resource is intended to support reading in the content area. This article explores the reliability of drug tests for athletes, using mathematics. The author attempts to address this issue by relating drug tests to conditional probability. Throughout the text, various numbers that affect the calculation of a reliable probability are discussed. Numbers such as test sensitivity, test specificity, and weight of evidence are related to Bayes' theorem, which is ultimately used to calculate the conditional probability. |
Name | Description |
Compound Probability with Dependent Events: | This video describes using multiplication to find the compound probability of dependent events. |
Name | Description |
Replacement and Probability: | This lesson is designed to develop students' understanding of sampling with and without replacement and its effects on the probability of drawing a desired object. The lesson provides links to discussions and activities related to replacement and probability as well as suggested ways to work them into the lesson. Finally, the lesson provides links to follow-up lessons that are designed to be used in succession with the current one. |
Title | Description |
Rain and Lightning: | This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions. |
Return to Fred's Fun Factory (with 50 cents): | The task is intended to address sample space, independence, probability distributions and permutations/combinations. |
Alex, Mel, and Chelsea Play a Game: | This task combines the concept of independent events with computational tools for counting combinations, requiring fluent understanding of probability in a series of independent events. |
Coffee at Mom's Diner: | This task assesses a student's ability to use the addition rule to compute a probability and to interpret a probability in context. |
The Titanic 2: | This task lets students explore the concepts of probability as a fraction of outcomes using two-way tables. |
The Titanic 1: | This task asks students to calculate probabilities using information presented in a two-way frequency table. |
Random Walk III: | The task provides a context to calculate discrete probabilities and represent them on a bar graph. |
Random Walk IV: | This problem solving task on probability combinations gives a situation where the numbers are too large to calculate, so abstract reasoning is required in order to compare the different probabilities. |
The Titanic 3: | This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic using a table of data. |
Title | Description |
Compound Probability with Dependent Events: | This video describes using multiplication to find the compound probability of dependent events. |
Title | Description |
Rain and Lightning: | This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions. |
Return to Fred's Fun Factory (with 50 cents): | The task is intended to address sample space, independence, probability distributions and permutations/combinations. |
Alex, Mel, and Chelsea Play a Game: | This task combines the concept of independent events with computational tools for counting combinations, requiring fluent understanding of probability in a series of independent events. |
Coffee at Mom's Diner: | This task assesses a student's ability to use the addition rule to compute a probability and to interpret a probability in context. |
The Titanic 2: | This task lets students explore the concepts of probability as a fraction of outcomes using two-way tables. |
The Titanic 1: | This task asks students to calculate probabilities using information presented in a two-way frequency table. |
Random Walk III: | The task provides a context to calculate discrete probabilities and represent them on a bar graph. |
Random Walk IV: | This problem solving task on probability combinations gives a situation where the numbers are too large to calculate, so abstract reasoning is required in order to compare the different probabilities. |
The Titanic 3: | This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic using a table of data. |