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You are here: HomeMake It Real Learning → Sets, Probability, Statistics II

46 pages
(10 activities)

# Introduction

The Make It Real Learning Sets, Probability, Statistics II workbook focuses on real-world situations that may be effectively analyzed using statistical concepts such as average, regression, scatterplot, and correlation. This book suits best grades 6-8 and high school.

From analyzing Simpson's paradox with batting averages to using Venn diagrams with olympic medals, learners get to use basic statistics in meaningful ways. Each activity integrates real world information, companies, and issues (e.g. Major League Baseball players, olympic medals from 2008 Summer Olympics, salaries of Los Angeles Angels, headlines in media), not just "realistic" data.

The workbook includes 10 activities focused on helping learners master the Common Core State Standards for Mathematics (www.corestandards.org). Each workbook activity focuses on making sense of mathematics in a real-world context. Mastering mathematics means more than memorizing procedures. Learners need to discover how to think critically and use mathematics as a tool to better understand the world.

There are multiple ways to use the activities of the book in a teaching environment. The activities are an excellent tool for stimulating mathematical discussions in a small group setting. Due to the challenging nature of each activity, group members are motivated to brainstorm problem solving strategies together. The interesting real world contexts motivate them to want to solve the problems. The activities may also be used for individual projects and class-wide discussions.

As a ready-resource for teachers, the workbook also includes completely worked-out solutions for each activity. To make it easier for teachers to assess student work, the solutions are included on a duplicate copy of each activity.

The PDF for this book is enabled for annotation. This means that if you prefer, your student can fill it in on the computer, using the typewriter and drawing tools in Acrobat Reader version 9 or greater.

## Sets, Probability, Statistics II Activity List

Activity TitleMathematical Objectives
Olympic Medals:
Using Venn Diagrams
Create a Venn diagram
Determine cardinality of given sets (including unions, intersections, complements) and interpret them in this real-world context
Los Angeles Angels' Salaries:
Working with Measures of Central Tendency
Determine median, mode, and mean of the given data
Interpret these measures of central tendency
Determine which measure is most useful for this context
Average Athletics:
Working with the Meaning of Mean (Average)
Analyzing the effect that a single outlier has on the mean.
Understand and interpret average in different contexts
Understanding Bias
Is the information useful? Is some information missing? Could the data be used to twist the truth?
Greatest Home Run Hitter Ever:
Working with Box and Whisker Plots
Create and interpret boxplots (box-and-whisker plots)
Understanding Correlation and Causation
Analyze correlation and causation
Wearing Eye Glasses:
Working with Confidence Intervals
Understand confidence intervals
Determine a confidence interval using samples
Fun with Batting Averages:
Calculate average
Working with Linear Models
Construct a scatterplot
Find a linear regression model
Find the correlation coefficient
Use and interpret the linear model in this context.
Body Weights and Heights:
Working with Linear Models
Construct a scatterplot
Find the line-of-best fit
Find the correlation
Use and interpret the line of best fit in this context

Bundle specials!

Activity Library, Volume I. Price: \$39.99
Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!

Activity Library, Volume II. Price: \$39.99
Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!

States by the Numbers Bundle. Price: \$19.99
Inludes all 50 States by the Numbers workbooks at a whopping 87% discount!
(Normal price would be 50 × \$2.99 = \$149.50)

By purchasing any of the Make It Real Learning workbooks, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

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