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Calculating Pi

Resource:
Calculating Pi

The goal of this lesson is to activate students’ current understanding of statistical sampling methods to find an accurate count of a number of dots in an image and then use the results of their sampling to find the value of π. The focus for this lesson should be on the different sampling methods, not the calculation of π.

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Decaying Dice

Resource:
Decaying Dice

This Illustrative Mathematics resource draws a very nice set of connections between functions, regression, distributions, probability, and statistics. It can also be used as a formative assessment resource to see how well students understand the ideas from Unit 5 in Algebra II.

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End of Unit Assessment (Algebra II, Unit 6)

Algebra II
Unit 6: Statistics (Inferences from Data)
Resource:
End of Unit Assessment (Algebra II, Unit 6)

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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Instructions for Animals

Algebra II
Unit 6: Statistics (Inferences from Data)
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Instructions for Animals

This page contains instructions on how to use the initial task, Animals, to find out what your students already know about finding the median, mode and range of a set of tabulated data, and interpreting graphs.

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Muddying the Waters (Algebra II)

Resource:
Muddying the Waters (Algebra II)

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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Normal Distribution Curves

Resource:
Normal Distribution Curves

Students will use the mean and standard deviation of a data set to fit it to a normal distribution thereby getting a better understanding of the structure of graphs and the areas highlighted for Normal Distribution Curves.

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Re-engagement Support (Algebra II, Unit 6)

Algebra II
Unit 6: Statistics (Inferences from Data)
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Re-engagement Support (Algebra II, Unit 6)

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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Scattered Functions

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Scattered Functions

Use the visual relationship between a set of dots on a scatter plot to connect the plots to given function families.

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Spread of Data #1

Resource:
Spread of Data #1

Use the structure of a set of three frequency histograms to make connections between these histograms and the mean & standard deviation of a data set.

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Spread of Data #2

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Spread of Data #2

Connect a box and whisker plot to a histogram by using the structure of the spread of data.

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Statistics resources

Resource:
Statistics resources

This is a collection of activities and tasks from the Mathematics Visions project.

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Studying Samples

Resource:
Studying Samples

Connect what students know about reading and creating frequency distributions, calculating mean and standard deviation for a set of data, and calculating probabilities of events occurring to determine if a sample and control group are statistically significantly different.

This Core Resource does not yet emphasis the distinction between joint, marginal, and conditional relative frequencies.

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