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Dynamic College Algebra : Chapter 1 : Measurement / Data Analysis
Marsha Davis, Gary Froelich and Gary Simundza
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Mathematics Topic:
Algebra |
Application Areas:
College Algebra |
Prerequisites:
Software
Wafer Thickness
Control Chart
Excel |
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Dynamic College Algebra
Dynamic College Algebra uses a modeling approach built around applications from technical fields such as semiconductor manufacturing and biotechnology. Each chapter begins with an engaging contextual problem that students explore in class or on their own via an Adobe Air simulation. Reflecting the realities of modern technical careers, Dynamic College Algebra integrates data analysis and spreadsheet technology throughout.
Chapter 1: Measurement/Data Analysis
Chapter 2: Variation
Chapter 3: Introduction to Functions
Chapter 4: Linear Relationships
Chapter 5: Systems of Equations
Chapter 6: Exponential and Logarithmic Functions
Chapter 7: Polynomial Functions
Chapter 8: Trigonometric Functions
CHAPTER 1: Measurement/Data Analysis
This chapter introduces students to some basic techniques in data analysis. A pervading theme in this chapter is the use of statistical analysis for quality control. In the course of completing this chapter, students organize data into frequency tables and use histograms and dot plots to display the data. They describe the shape of the data and use statistics to describe the data’s location and spread. The first “model” introduced is the use of density curves to describe various shapes of data with the major focus on the normal density curve. All of this background information leads up to a discussion of control charts (run charts and x-bar charts) in the last section of the chapter.
Career Features
Introductory Activity
Introduction to Data Analysis
Section 1.1, Distributions and the Shape of Data
Section 1.2, Describing Distributions with Numbers
Section 1.3, The Normal Distribution
Section 1.4, Control
Charts
Review
Chapter 1 Review 1
Instructor’s Notes
Answers
Chapter 1: Software:
Wafer Thickness
The Wafer Thickness software allows you to set three controls that adjust the grinding and polishing processes. Each control has three levels. After setting the controls, you can take a sample of polished wafers and measure their thicknesses.
Control Chart
Use the Control Chart software to collect samples of data over time and plot the sample means to create an x chart. After each new sample mean is plotted, students decide whether the process is in control and can continue or is out of control and needs to be stopped.
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