Number: MA.8.DP.2
Title: Represent and find probabilities of repeated experiments.
Type:
Standard
Subject: Mathematics (B.E.S.T.)
Grade: 8
Strand: Data Analysis and Probability
Related Benchmarks
This cluster includes the following benchmarks
| Code |
Description |
| MA.8.DP.2.1: | Determine the sample space for a repeated experiment.Clarifications:
Clarification 1: Instruction includes recording sample spaces for repeated experiments using organized lists, tables or tree diagrams.
Clarification 2: Experiments to be repeated are limited to tossing a fair coin, rolling a fair die, picking a card randomly from a deck with replacement, picking marbles randomly from a bag with replacement and spinning a fair spinner.
Clarification 3: Repetition of experiments is limited to two times except for tossing a coin.
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| MA.8.DP.2.2: | Find the theoretical probability of an event related to a repeated experiment.Clarifications:
Clarification 1: Instruction includes representing probability as a fraction, percentage or decimal.
Clarification 2: Experiments to be repeated are limited to tossing a fair coin, rolling a fair die, picking a card randomly from a deck with replacement, picking marbles randomly from a bag with replacement and spinning a fair spinner.
Clarification 3: Repetition of experiments is limited to two times except for tossing a coin.
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| MA.8.DP.2.3: | Solve real-world problems involving probabilities related to single or repeated experiments, including making predictions based on theoretical probability.Clarifications:
Clarification 1: Instruction includes making connections to proportional relationships and representing probability as a fraction, percentage or decimal.
Clarification 2: Experiments to be repeated are limited to tossing a fair coin, rolling a fair die, picking a card randomly from a deck with replacement, picking marbles randomly from a bag with replacement and spinning a fair spinner.
Clarification 3: Repetition of experiments is limited to two times except for tossing a coin.
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Related Access Points
This cluster includes the following access points.
Access Points
| Access Point Number |
Access Point Title |
| MA.8.DP.2.AP.1: | Use a tool (table, list or tree diagram) to record results of a repeated experiment. |
| MA.8.DP.2.AP.2: | Select the theoretical probability of an event related to a repeated experiment from a list. |
| MA.8.DP.2.AP.3: | Compare actual results of an experiment with its theoretical probability (e.g., make a statement that describes the relationship between the actual results of an experiment with its theoretical probability [e.g., more, less, same, different, equal]). |
Related Resources
Vetted resources educators can use to teach the concepts and skills in this topic.
Original Student Tutorials
| Name |
Description |
| Alice in Mathematics-Land: | Help Alice discover that compound probabilities can be determined through calculations or by drawing tree diagrams in this interactive tutorial. |
| Predicting Outcomes at the Carnival: | Learn how to use probability to predict expected outcomes at the Carnival in this interactive tutorial. |
Formative Assessments
| Name |
Description |
| Work Clothing: | Students are asked to make a tree diagram to determine all possible outcomes of a compound event. |
| Number List: | Students are asked to make an organized list that displays all possible outcomes of a compound event. |
| Coat Count: | Students are asked to design a simulation to generate frequencies for complex events. |
| Automotive Probabilities: | Students are asked to find the probability of a compound event using a tree diagram and explain how the tree diagram was used to find the probability. |
| Probabilities Cubed: | Students are asked to estimate the frequency of an event given its probability and explain why an expected frequency might differ from an observed frequency. |
Lesson Plans
| Name |
Description |
| Independent Compound Probability: | During this lesson, students will use Punnett Squares to determine the probability of an offspring's characteristics. |
| Understanding Probability of Compound Events: | This lesson uses guided teaching, small group activities, and student creations all-in-one! Students will be able to solve and create compound event word problems. They will also be able to identify what type of event is being used in a variety of word problems. |
| Casino Royale: | Students examine games of chance to determine the difference between dependent and independent conditional probability. |
Perspectives Video: Experts
Problem-Solving Tasks
| Name |
Description |
| Waiting Times: | As studies in statistics and probability unfold, students will not yet know the rules of probability for compound events. Thus, simulation is used to find an approximate answer to these questions. In fact, part b would be a challenge to students who do know the rules of probability, further illustrating the power of simulation to provide relatively easy approximate answers to wide-ranging problems. |
| Rolling Twice: | The purpose of this task is for students to compute the theoretical probability of a compound event. Teachers may wish to emphasize the distinction between theoretical and experimental probabilities for this problem. For students learning to distinguish between theoretical and experimental probability, it would be good to find an experimental probability either before or after students have calculated the theoretical probability. |
Tutorials
Student Resources
Vetted resources students can use to learn the concepts and skills in this topic.
Original Student Tutorials
| Title |
Description |
| Alice in Mathematics-Land: | Help Alice discover that compound probabilities can be determined through calculations or by drawing tree diagrams in this interactive tutorial. |
| Predicting Outcomes at the Carnival: | Learn how to use probability to predict expected outcomes at the Carnival in this interactive tutorial. |
Problem-Solving Tasks
| Title |
Description |
| Waiting Times: | As studies in statistics and probability unfold, students will not yet know the rules of probability for compound events. Thus, simulation is used to find an approximate answer to these questions. In fact, part b would be a challenge to students who do know the rules of probability, further illustrating the power of simulation to provide relatively easy approximate answers to wide-ranging problems. |
| Rolling Twice: | The purpose of this task is for students to compute the theoretical probability of a compound event. Teachers may wish to emphasize the distinction between theoretical and experimental probabilities for this problem. For students learning to distinguish between theoretical and experimental probability, it would be good to find an experimental probability either before or after students have calculated the theoretical probability. |
Tutorials
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
Problem-Solving Tasks
| Title |
Description |
| Waiting Times: | As studies in statistics and probability unfold, students will not yet know the rules of probability for compound events. Thus, simulation is used to find an approximate answer to these questions. In fact, part b would be a challenge to students who do know the rules of probability, further illustrating the power of simulation to provide relatively easy approximate answers to wide-ranging problems. |
| Rolling Twice: | The purpose of this task is for students to compute the theoretical probability of a compound event. Teachers may wish to emphasize the distinction between theoretical and experimental probabilities for this problem. For students learning to distinguish between theoretical and experimental probability, it would be good to find an experimental probability either before or after students have calculated the theoretical probability. |
