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Carbon 14 Dating In Practice I
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Carbon 14 Dating In Practice I

In the task "Carbon 14 Dating'' the amount of Carbon 14 in ... (more)

In the task "Carbon 14 Dating'' the amount of Carbon 14 in a preserved plant is studied as time passes after the plant has died. In practice, however, scientists wish to determine when the plant died and, as this task shows, this is not possible with a simple measurement of the amount of Carbon 14 remaining in the preserved plant. The equation for the amount of Carbon 14 remaining in the preserved plant is in many ways simpler here, using 12 as a base. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Carbon 14 Dating In Practice II
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Carbon 14 Dating In Practice II

This problem introduces the method used by scientists to date certain organic ... (more)

This problem introduces the method used by scientists to date certain organic material. It is based not on the amount of the Carbon 14 isotope remaining in the sample but rather on the ratio of Carbon 14 to Carbon 12. This ratio decreases, hypothetically, at a constant exponential rate as soon as the organic material has ceased to absorb Carbon 14, that is, as soon as it dies. This problem is intended for instructional purposes only. It provides an interesting and important example of mathematical modeling with an exponential function. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Carbon 14 Dating, Variation 2
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Carbon 14 Dating, Variation 2

This exploratory task requires the student to use a property of exponential ... (more)

This exploratory task requires the student to use a property of exponential functions in order to estimate how much Carbon 14 remains in a preserved plant after different amounts of time. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Chairs
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Chairs

This Java applet activity allows students to explore the various situations described ... (more)

This Java applet activity allows students to explore the various situations described in "The Chairs Around the Table" lesson (cataloged separately). The user can select Exploration mode, in which the number of chairs needed for a particular arrangement of tables is displayed; or Guess, in which the user is able to construct an arrangement and then predict the number of chairs. There are two types of tables to choose from and two different table arrangements. Instructions and exploration question are provide. (less)

Subject:
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Interactive
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Chairs Around The Table
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Chairs Around The Table

In this lesson from Illuminations, students explore and discover linear relationships. Linear ... (more)

In this lesson from Illuminations, students explore and discover linear relationships. Linear patterns are identified, extended and described verbally, numerically and algebraically through three investigations. Using manipulatives and the linked applet, "Chairs", learners determine the number of chairs needed when the number of tables is known, and vice versa. Instructional plan, questions for the students, assessment options, extensions and teacher reflections are provided. (less)

Subject:
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Interactive
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Samuel E. Zordak
Collaborative Statistics
No Strings Attached

Collaborative Statistics

Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members ... (more)

Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it. The textbook is also available in printed form from Qoop.com. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Full Course
Homework and Assignments
Instructional Material
Reference
Textbooks
Provider:
AMSER: Applied Math and Science Education Repository
Rice University
Provider Set:
AMSER: Applied Math and Science Education Repository
Connexions
Author:
Dean, Susan
Dr. Barbara Illowsky Susan Dean
Illowsky, Barbara
Collaborative Statistics: Custom Version modified by R. Bloom
No Strings Attached

Collaborative Statistics: Custom Version modified by R. Bloom

Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members ... (more)

Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it. This custom textbook collection has been modified by R. Bloom for her classes at De Anza College; the homework content for the custom collection is now contained in a separate homework collection. (less)

Subject:
Mathematics and Statistics
Material Type:
Full Course
Readings
Provider:
Rice University
Provider Set:
Connexions
Author:
Roberta Bloom
Collaborative Statistics Homework Book: Custom Version modified by R. Bloom
No Strings Attached

Collaborative Statistics Homework Book: Custom Version modified by R. Bloom

This is a custom collection (by R. Bloom) of homework and review ... (more)

This is a custom collection (by R. Bloom) of homework and review problems to accompany Collaborative Statistics textbook custom collection by R. Bloom. Content is derived from Collaborative Statistics written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook by S. Dean and B. Illowsky was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it. This custom version of their collection has been modified by R. Bloom for her classes at De Anza College. (less)

Subject:
Mathematics and Statistics
Material Type:
Full Course
Homework and Assignments
Provider:
Rice University
Provider Set:
Connexions
Author:
Roberta Bloom
Communicating With Data, Summer 2003
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Communicating With Data, Summer 2003

Introduces students to the basic tools in using data to make informed ... (more)

Introduces students to the basic tools in using data to make informed management decisions. Covers introductory probability, decision analysis, basic statistics, regression, simulation, and linear and nonlinear optimization. Computer spreadsheet exercises and examples drawn from marketing, finance, operations management, and other management functions. Restricted to Sloan Fellows. (less)

Subject:
Business
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Carroll, John S.
Comparing Exponentials
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Comparing Exponentials

This task gives students an opportunity to work with exponential functions in ... (more)

This task gives students an opportunity to work with exponential functions in a real world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve exponential equations. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Computing Speed
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Computing Speed

This lesson should take one day of class time. The purpose of ... (more)

This lesson should take one day of class time. The purpose of this lesson is to develop an understanding of quadratic functions. We use the linear relation between distance, constant speed and time and the quadratic relation between the vertical distance of a falling object and time. From these, students will develop two new quadratic functions. The graph of one of these provides a picture of the physical phenomenon they have viewed. (less)

Subject:
Mathematics
Geoscience
Physics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
NSDL Staff
Provider Set:
Developmental Mathematics Collection
Constant dimensions
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Constant dimensions

This complete lesson plan requires students to measure the length and width ... (more)

This complete lesson plan requires students to measure the length and width of a rectangle using both standard and non-standard units of measure, such as pennies, beads, etc. As students graph the ordered pairs, they discover that the ratio of length to width of a rectangle is constant, in spite of the units. This leads to the definition of a linear function and to the rule that relates the dimensions of this rectangle. An activity sheet and questions for class discussion are included. (less)

Subject:
Mathematics
Material Type:
Instructional Material
Lesson Plans
Provider:
Ohio State University College of Education and Human Ecology
Provider Set:
Middle School Portal: Math and Science Pathways (MSP2)
Author:
Kristen Chandler
Defining a line with two points
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Defining a line with two points

Place two points wherever you like. Compute the slope of the line ... (more)

Place two points wherever you like. Compute the slope of the line between them. View the equation of that line in slope-intercept and point-slope form. (less)

Subject:
Mathematics
Material Type:
Activities and Labs
Instructional Material
Interactive
Lesson Plans
Provider:
Ohio State University College of Education and Human Ecology
Provider Set:
Middle School Portal: Math and Science Pathways (MSP2)
Author:
Brian Sharp
ExploreMath.com
Do Two Points Always Determine a Linear Function II?
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Do Two Points Always Determine a Linear Function II?

This task is designed as a follow-up to the task F-LE Do ... (more)

This task is designed as a follow-up to the task F-LE Do Two Points Always Determine a Linear Function? Linear equations and linear functions are closely related, and there advantages and disadvantages to viewing a given problem through each of these points of view. This task is intended to show the depth of the standard F-LE.2 and its relationship to other important concepts of the middle school and high school curriculum, including ratio, algebra, and geometry. (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Do Two Points Always Determine an Exponential Function?
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Do Two Points Always Determine an Exponential Function?

This problem complements the problem ``Do two points always determine a linear ... (more)

This problem complements the problem ``Do two points always determine a linear function?'' (less)

Subject:
Mathematics and Statistics
Mathematics
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
Illustrative Mathematics
Institute for Mathematics and Education
Provider Set:
Illustrative Mathematics
Illustrative Mathematics
Author:
Illustrative Mathematics
Double Function Machine
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Double Function Machine

This Flash applet allows the user to explore the concept of a ... (more)

This Flash applet allows the user to explore the concept of a function using an input-output machine with two operations and options to set and hide or reveal all operations and numbers. A notepad is available for recording inputs and outputs, and a loop function takes the current output as the next input. (less)

Subject:
Mathematics
Social Sciences
Education
Material Type:
Activities and Labs
Instructional Material
Interactive
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Dan Bunker