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Comparing Events

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Comparing Events

This partially constructed Core Resource is intended to support students in making connections between the sample spaces for events and the formulas that can be used to calculate the probability of those events occurring.

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Complementary Probability

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Complementary Probability

Use the structure of a tree diagram to quickly calculate the probability an event does not occur by chunking the tree diagram into the events that match and the events that do not.

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End of Unit Assessment (Algebra II, Unit 5)

Algebra II
Unit 5: Probability
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End of Unit Assessment (Algebra II, Unit 5)

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization. 

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Expected Value

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Expected Value

Justify that the sum of the probability of all possible, mutually exclusive  (or complementary) events occurring is 1 and calculate expected values.

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Experimenting With Probability

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Experimenting With Probability

The goal of these resources is to activate students’ current understanding of probability and to help students make the connection between experimental and theoretical probability and to see that there is more variability for a small number of trials than for a larger number of trials.

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Independent or Dependent?

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Independent or Dependent?

Students will sort probability situations into dependent and independent and explain what makes them so. Students will discuss which ones were hardest to identify.
 

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Instructions for Flora, Freddy and the Future

Algebra II
Unit 5: Probability
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Instructions for Flora, Freddy and the Future

This page contains instructions on how to use the initial task, Flora, Freddy, and the Future, to find out what your students already know about using the terms likely and unlikely for events, and numbers from 0 to 1 as measures of likelihood.

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Matching Two Way Frequency Tables and Tree Diagrams

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Matching Two Way Frequency Tables and Tree Diagrams

Students will match tree diagrams with two way frequency tables and create the missing tree diagram.

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Medical Testing

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Medical Testing

A Classroom Challenge (aka formative assessment lesson) is a classroom-ready lesson that supports formative assessment. The lesson’s approach first allows students to demonstrate their prior understandings and abilities in employing the mathematical practices, and then involves students in resolving their own difficulties and misconceptions through structured discussion.

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Probability Rules of Addition and Multiplication

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Probability Rules of Addition and Multiplication

To use the structure of a probability calculation to connect the calculation to the distinction between at least one and exactly one.

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Re-engagement Support (Algebra II, Unit 5)

Algebra II
Unit 5: Probability
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Re-engagement Support (Algebra II, Unit 5)

Re-engagement means going back to a familiar problem or task and looking at it again in different ways, with a new lens, or going deeper into the mathematics. This is often done by showing examples of student work and providing prompts to help students think about the mathematical ideas differently. This guide provides more information on how to design re-engagement lessons for your students, which you can use at any time during a unit, where you think it will be helpful for students to revisit a specific mathematical idea before moving on.

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Two Way Frequency Tables

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Two Way Frequency Tables

Use the structure of two way frequency tables to find the total number of people surveyed.

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