All resources in STEM

Trigonometry

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Book description: This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed. A brief tutorial on using Gnuplot to graph trigonometric functions is included. There are 495 exercises in the book, with answers and hints to selected exercises.

Material Type: Textbook

Author: Michael Corral

Logic Puzzle

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This activity is intended as an exercise in deductive logic. The students perform a series of "experiments" in which they try to identify which predators eat which specific prey (Each predator eats one and only one prey). The instructions are on the site. students may also click on the blue square to make the game full screen. A worksheet is added for students to record their results. This also is an exercise in articulating the logic used in the study. (Most students have no trouble figuring out the relationships). Writing down their results and conclusions is a bit trickier. ) This has been used for community college classes. It can be used at lower levels such as high school or even middle school without the worksheet.

Material Type: Game

Author: Arthur Wohlwill

Instructor’s Guide to Concepts of Biology

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This Instructor’s Guide contains the brief outlines of Chapters 12-21 as found in Concepts of Biology, though some underwent revision. Also, instructors will find detailed outlines of the text for use in lecturing, as well as structured outlines that may be used by students to take notes while reading the chapter or during lecture. All outlines are derived from the OpenStax text. Additionally, study guides that contain a variety of questions are provided for students.

Material Type: Lecture Notes, Student Guide, Teaching/Learning Strategy

Author: Molly Smith

Introduction to Statistics

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This course covers descriptive statistics, the foundation of statistics, probability and random distributions, and the relationships between various characteristics of data. Upon successful completion of the course, the student will be able to: Define the meaning of descriptive statistics and statistical inference; Distinguish between a population and a sample; Explain the purpose of measures of location, variability, and skewness; Calculate probabilities; Explain the difference between how probabilities are computed for discrete and continuous random variables; Recognize and understand discrete probability distribution functions, in general; Identify confidence intervals for means and proportions; Explain how the central limit theorem applies in inference; Calculate and interpret confidence intervals for one population average and one population proportion; Differentiate between Type I and Type II errors; Conduct and interpret hypothesis tests; Compute regression equations for data; Use regression equations to make predictions; Conduct and interpret ANOVA (Analysis of Variance). (Mathematics 121; See also: Biology 104, Computer Science 106, Economics 104, Psychology 201)

Material Type: Full Course

Spreadsheet-based Statistics Labs

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This collection of spreadsheet-based labs was funded as part of the Digital Learning Research Network (dLRN) made possible by a grant from the Bill and Melinda Gates Foundation. The labs were adapted from the Statistics book, “Introduction to Statistics,” published by OpenStax College. The original labs used graphing calculators and were found within the book after each chapter. These interactive spreadsheet-based labs are effective for online and face-face courses. They may also be used with the book (see Resource: Lab Mapping to Book Chapters) or stand-alone.Authors: Barbara Illowsky PhD, Foothill-De Anza Community College District; Larry Green PhD, Lake Tahoe Community College; James Sullivan, Sierra College; Lena Feinman,College of San Mateo; Cindy Moss, Skyline College; Sharon Bober, Pasadena Community College; Lenore Desilets, De Anza Community College.Lab Mapping to Book ChaptersGrading RubricLabsUnivariarate Data Normal DistributionCentral Limit TheoremHyporhesis Test - Single MeanHyporhesis Test - Single ProportionGoodness of FitLinear Regression 

Material Type: Module

Authors: lenore desilets, Barbara Illowsky

Introductory Statistics

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Introductory Statistics is intended for the one-semester introduction to statistics course for students who are not mathematics or engineering majors. It focuses on the interpretation of statistical results, especially in real world settings, and assumes that students have an understanding of intermediate algebra. In addition to end of section practice and homework sets, examples of each topic are explained step-by-step throughout the text and followed by a Try It problem that is designed as extra practice for students. This book also includes collaborative exercises and statistics labs designed to give students the opportunity to work together and explore key concepts. While the book has been built so that each chapter builds on the previous, it can be rearranged to accommodate any instructor’s particular needs.

Material Type: Textbook

Author: Alexander Holmes

Probability and Statistics EBook

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This is an Internet-based probability and statistics E-Book. The materials, tools and demonstrations presented in this E-Book would be very useful for advanced-placement (AP) statistics educational curriculum. The E-Book is initially developed by the UCLA Statistics Online Computational Resource (SOCR). However, all statistics instructors, researchers and educators are encouraged to contribute to this project and improve the content of these learning materials. There are 4 novel features of this specific Statistics EBook. It is community-built, completely open-access (in terms of use and contributions), blends information technology, scientific techniques and modern pedagogical concepts, and is multilingual.

Material Type: Textbook

Author: Statistics Online Computational Resource