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Data Analysis and Probability

Planning a Trip to Disneyland or Disney World, Part Two

3-5

During this lesson, student groups use data collected in the previous lesson to plan a trip to Disneyland or Disney World. Using skills they developed in the previous lessons, students determine not only elapsed time and distance, but extend their problem solving to figuring meals, lodging, air travel, and incidentals.

As students tackle this more complex task, teachers have opportunity to observe students’ growing competence with methods and tools for computation, estimation, problem posing and solving, interpretation of graphical representations, measuring with standard units, and responding to investigations that require the comparison of data sets. This lesson is designed to take approximately 45 minutes but time will vary according to the needs and abilities of your students.

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Data Analysis and Probability

Choosing the Best Option

3-5

During this lesson, student groups use data collected in the previous lesson to select a plan for a trip to Disneyland or Disney World. Using skills they developed in the previous lessons, students determine not only elapsed time and distance, but extend their problem solving to figuring meals, lodging, air travel, and incidentals in order to select the best option.

As students tackle this more complex task, teachers have opportunity to observe students’ growing competence with methods and tools for computation, estimation, problem posing and solving, interpretation of graphical representations, measuring with standard units, and responding to investigations that require the comparison of data sets.

Data Analysis and Probability

Looking Back and Moving Forward

3-5
During this lesson, student use mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and ability to apply that knowledge in a real-life context. As students tackle more complex tasks, teachers have opportunity to observe student’s competence with methods and tools for computation, estimation, problem posing and solving, collection of data, organization and interpretation of graphical representations, measuring with standard units, and responding to investigations that require the comparison of data sets.
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Data Analysis and Probability

Categorical Data

3-5
In the first lesson of this unit, students formulate and refine questions that can be addressed with categorical data. They consider aspects of data collection such as how to word questions and how to record the data they collect. Finally they represent and analyze the data in order to answer the question posed.
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Measurement

Numerical Data

3-5
In the second lesson of this unit, students pose and refine questions that can be addressed with numerical data. They consider aspects of data collection such as how to obtain measurements and record the data they collect. They represent and analyze the ordered numerical data by describing the shape and important features of a set of data and compare related data sets, with an emphasis on how the data are distributed. In collecting data, students measure with standard units and carry out simple unit conversions, such as from centimeters to meters or feet to inches.
Data Analysis and Probability

Comparing Categorical and Numerical Data

3-5
In the final lesson of this unit, students recognize differences in representing and analyzing categorical and numerical data. Students also identify examples of each type of data.
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Algebra

Allow Me 2 Reiterate

9-12
In this grades 9‑12 lesson, students use a computer software program to assist them in determining the square root of 2 to a given number of decimal places. From this, they will be able to study the repeating-decimal phenomenon of rational numbers and explore the system property of irrationality of numbers, such as 2.
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Algebra

Modeling Orbital Debris Problems

9-12
In this lesson, students examine the problem of space pollution caused by human-made debris in orbit to develop an understanding of functions and modeling. It allows the students an opportunity to use spreadsheets, graphing calculators, and computer graphing utilities.
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Data Analysis and Probability

Stick or Switch?

6-8, 9-12
This lesson plan presents a classic game-show scenario. A student picks one of three doors in the hopes of winning the prize. The host, who knows the door behind which the prize is hidden, opens one of the two remaining doors. When no prize is revealed, the host asks if the student wishes to "stick or switch." Which choice gives you the best chance to win? The approach in this activity runs from guesses to experiments to computer simulations to theoretical models. This lesson was adapted from an article written by J. Michael Shaughnessy and Thomas Dick, which appeared in the April 1991 issue of the Mathematics Teacher.
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Algebra

Rates and Taxes

9-12
This activity allows students to become familiar with percents and taxes. Students learn how to determine the amount of tax a family will pay based on a certain income. This lesson was adapted from an article by Warren W. Esty, which appeared in the May 1992 edition of Mathematics Teacher.