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Comparing Theoretical Probabilities - A Problem Solving Activity
Comparing Theoretical Probabilities - A Problem Solving Activity
Comparing Theoretical Probabilities - A Problem Solving Activity
Comparing Theoretical Probabilities - A Problem Solving Activity
Comparing Theoretical Probabilities - A Problem Solving Activity
Comparing Theoretical Probabilities - A Problem Solving Activity
Comparing Theoretical Probabilities - A Problem Solving Activity
Comparing Theoretical Probabilities - A Problem Solving Activity
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Description

Now that your students can express the theoretical probability of an event using fractions, decimals or percents, have them apply this knowledge in a problem-solving situation. This 3 part lesson has your students compare theoretical probabilities of different games to determine which outcomes are more likely.

Imagine your students going to the fair and being able to apply their knowledge of probability to win a game. They will be able to:

* measure the likelihood of an event occurring

* understand the fairness of a game

* predict their chances of winning and receiving a favorable outcome

***************************************************************************

WHAT'S INCLUDED

  • Tips Sheet: This detailed guide will give you a breakdown of each part of the lesson . This includes how much time is allocated, what the students and teacher role is, and a list of guiding questions that the teacher could ask students in order to clarify their thinking.

  • Problem Solving Checklist: An optional problem solving checklist has been included for your students to use to self assess their work.

  • Getting Started: Your students will be lead through a quick warm up activity to activate prior knowledge or review concepts.

  • Working On It: A rich problem solving task in which students complete with a partner, in a small group, or individually.

  • Reflect and Connect: This is a list of things the teacher needs to highlight while students present and share their solutions to the Working On It task. It includes a list of guiding questions to ask while students present solutions to their work. It also includes a list of problem solving strategies that could be identified in the presenting group's or individual's work. This sheet also demonstrates how to effectively display student work in the classroom so that strategies can easily be referenced during other problem solving opportunities.

  • Exit Ticket: These problem solving tasks are similar to the one students worked on during the Working On It part of the lesson. Each student will complete the exit ticket independently using the strategies they reviewed in the Reflect and Connect phase. This work is used for assessment purposes and allows the teacher to identify common misconceptions or areas of need. It is also a great opportunity for the teacher to provide individualized descriptive feedback that is directly related to the criteria on the problem solving checklist.

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BENEFITS

  • Increases engagement: Students are more involved in problems that are relatable and relevant.
  • Making connections: Helps students to connect concepts and skills to everyday contexts.
  • Clearly outlined learning goals: The learning goal of the lesson is posted at the top of each page.
  • Less anxiety: Provides students with the chance to process their thoughts and check their ideas with a partner or small group.
  • Builds student confidence: Before students complete an independent problem solving task, they have the opportunity to engage in discussions, ask questions, and observe their peers model effective strategies.
  • Variety of groupings: Allows the teacher to create guided math groups based on individual needs.
  • Variety of solutions: Students develop an awareness and appreciation of multiple ways to solve problems.
  • Differentiated: Multiple pathways to solving problems help reach more learners.
  • Communication skills developed: Students are engaged in deep meaningful discussions and make use of appropriate math vocabulary or terms.

***************************************************************************

OTHER MATH ACTIVITIES BY BLUE SKY SCHOLASTICS:

***************************************************************************

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Comparing Theoretical Probabilities - A Problem Solving Activity

Rated 5 out of 5, based on 1 reviews
5.0 (1 rating)
Blue Sky Scholastics
183 Followers
$2.00

Highlights

Digital downloads
Grades icon
Grades
5th - 8th
Standards icon
Standards
Pages
11
Teaching Duration
1 hour

Description

Now that your students can express the theoretical probability of an event using fractions, decimals or percents, have them apply this knowledge in a problem-solving situation. This 3 part lesson has your students compare theoretical probabilities of different games to determine which outcomes are more likely.

Imagine your students going to the fair and being able to apply their knowledge of probability to win a game. They will be able to:

* measure the likelihood of an event occurring

* understand the fairness of a game

* predict their chances of winning and receiving a favorable outcome

***************************************************************************

WHAT'S INCLUDED

  • Tips Sheet: This detailed guide will give you a breakdown of each part of the lesson . This includes how much time is allocated, what the students and teacher role is, and a list of guiding questions that the teacher could ask students in order to clarify their thinking.

  • Problem Solving Checklist: An optional problem solving checklist has been included for your students to use to self assess their work.

  • Getting Started: Your students will be lead through a quick warm up activity to activate prior knowledge or review concepts.

  • Working On It: A rich problem solving task in which students complete with a partner, in a small group, or individually.

  • Reflect and Connect: This is a list of things the teacher needs to highlight while students present and share their solutions to the Working On It task. It includes a list of guiding questions to ask while students present solutions to their work. It also includes a list of problem solving strategies that could be identified in the presenting group's or individual's work. This sheet also demonstrates how to effectively display student work in the classroom so that strategies can easily be referenced during other problem solving opportunities.

  • Exit Ticket: These problem solving tasks are similar to the one students worked on during the Working On It part of the lesson. Each student will complete the exit ticket independently using the strategies they reviewed in the Reflect and Connect phase. This work is used for assessment purposes and allows the teacher to identify common misconceptions or areas of need. It is also a great opportunity for the teacher to provide individualized descriptive feedback that is directly related to the criteria on the problem solving checklist.

***************************************************************************

BENEFITS

  • Increases engagement: Students are more involved in problems that are relatable and relevant.
  • Making connections: Helps students to connect concepts and skills to everyday contexts.
  • Clearly outlined learning goals: The learning goal of the lesson is posted at the top of each page.
  • Less anxiety: Provides students with the chance to process their thoughts and check their ideas with a partner or small group.
  • Builds student confidence: Before students complete an independent problem solving task, they have the opportunity to engage in discussions, ask questions, and observe their peers model effective strategies.
  • Variety of groupings: Allows the teacher to create guided math groups based on individual needs.
  • Variety of solutions: Students develop an awareness and appreciation of multiple ways to solve problems.
  • Differentiated: Multiple pathways to solving problems help reach more learners.
  • Communication skills developed: Students are engaged in deep meaningful discussions and make use of appropriate math vocabulary or terms.

***************************************************************************

OTHER MATH ACTIVITIES BY BLUE SKY SCHOLASTICS:

***************************************************************************

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Reviews

5.0
Rated 5 out of 5, based on 1 reviews
1
rating
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Rated 5 out of 5
October 15, 2022
This resource was powerful! My students really enjoyed working out the problems.
Dulcey W.
1,315 reviews
Grades taught: 7th
Student populations: Learning difficulties

Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
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