In this video segment from TV411, figure skaters compute their average daily practice time.

Students explore the definition of a function by playing an interactive game called "Club Function." The goal of the game is to be in the club! With students each assigned to be either a zebra or a rhinoceros, they group themselves according to the "rules" of the club function. After two minutes, students freeze in their groups, and if they are not correctly following the rules of the club function, then they are not allowed into the "club." Through this activity students come to understand that one x-coordinate can only have one corresponding y-coordinate while y-coordinates can have many x-coordinates that correspond to it.

This College Algebra textbook provides a comprehensive introduction to the fundamental concepts of algebra, with a unique focus on the concept of inverses. The textbook begins with an exploration of the foundational principles of functions, including domain, range, and the vertical line test. It progresses through critical topics such as operations on functions, composition of functions, and the algebra of functions, ensuring students grasp the fundamental building blocks necessary for more complex algebraic thinking.Several times the teaching diverges from how the subject is commonly taught. Examples include absolute value, determining the inverse of a function, and completing the square. The text is as devoid of "gimmicks" or "tricks" as possible, leaning on the fundamentals of good algebra. Also, there is a high reliance on fractions, rather than decimal numbers, to help equip the student with the better way to read a problem and its solution.This book is written for and dedicated to my grandchildren, and the fact that you're taking at least a glimpse of it is just a huge bonus! Thank you.

An introduction and examples of how to use Descriptive Statistics. It is about how we present and decribe the data in our sample in the best possible way. This covers tabels, graphs, measures of location and measures of spread/variability.

These are sample instructions students can carry out with the projetile simulation (http://phet.colorado.edu/en/simulation/projectile-motion )at PHET. One thing I have noted with students is that whenever they are shown a simulation without specific instructions,they dont do anyting worthwhile. So these instructions are part of a series to help students out of this chalenge..

This resource is a chart of definitions and examples of terms used to describe the features of a graph.

In this role-playing activity, students learn how cellular phone service works, its advantages and its limitations. Students also learn about the advantages and limitations of satellite phone service. Phone communication involves many aspects of science, math and engineering, and this activity conveys to students how these technologies help people to stay better connected. Students use what they learn to understand what communication options might be available for Maya and her parents, Spacewoman Tess and Spaceman Rohan.

Assignment that helps the student define functions and relations with their domains and ranges and identify the different representations for each. Includes examples and practice problems.

Distributions and Variability

Type of Unit: Project

Prior Knowledge

Students should be able to:

Represent and interpret data using a line plot.
Understand other visual representations of data.

Lesson Flow

Students begin the unit by discussing what constitutes a statistical question. In order to answer statistical questions, data must be gathered in a consistent and accurate manner and then analyzed using appropriate tools.

Students learn different tools for analyzing data, including:

Measures of center: mean (average), median, mode
Measures of spread: mean absolute deviation, lower and upper extremes, lower and upper quartile, interquartile range
Visual representations: line plot, box plot, histogram

These tools are compared and contrasted to better understand the benefits and limitations of each. Analyzing different data sets using these tools will develop an understanding for which ones are the most appropriate to interpret the given data.

To demonstrate their understanding of the concepts, students will work on a project for the duration of the unit. The project will involve identifying an appropriate statistical question, collecting data, analyzing data, and presenting the results. It will serve as the final assessment.

GalleryCreate a Data SetStudents will create data sets with a specified mean, median, range, and number of data values.Bouncing Ball Experiment How high does the class think a typical ball bounces (compared to its drop height) on its first bounce? Students will conduct an experiment to find out.Adding New Data to a Data Set Given a data set, students will explore how the mean changes as they add data values.Bowling Scores Students will create bowling score data sets that meet certain criteria with regard to measures of center.Mean Number of Fillings Ten people sit in a dentist's waiting room. The mean number of fillings they have in their teeth is 4, yet none of them actually have 4 fillings. Students will explain how this situation is possible.Forestland Students will examine and interpret box plots that show the percentage of forestland in 20 European countries.What's My Data?Students will create a data set that fits a given histogram and then adjust the data set to fit additional criteria.What's My Data 2? Students will create a data set that fits a given box plot and then adjust the data set to fit additional criteria.Compare Graphs Students will make a box plot and a histogram that are based on a given line plot and then compare the three graphs to decide which one best represents the data.Random Numbers What would a data set of randomly generated numbers look like when represented on a histogram? Students will find out!No Telephone? The U.S. Census Bureau provides state-by-state data about the number of households that do not have telephones. Students will examine two box plots that show census data from 1960 and 1990 and compare and analyze the data.Who Is Taller?Who is taller—the boys in the class or the girls in the class? Students will find out by separating the class height data gathered earlier into data for boys and data for girls.

Objectives:

1. Students will know the definitions for mean, median, mode, and range.

2. Given a data set, students will be able to find the mean, median, mode, and range.

This is an activity that helps students experience a hands on challenge of what an average of an item truly is. This activity has various levels of difficulty for differentiation.

Students learn how engineers navigate satellites in orbit around the Earth and on their way to other planets in the solar system. In accompanying activities, they explore how ground-based tracking and onboard measurements are performed. Also provided is an overview of orbits and spacecraft trajectories from Earth to other planets, and how spacecraft are tracked from the ground using the Deep Space Network (DSN). DSN measurements are the primary means for navigating unmanned vehicles in space. Onboard spacecraft instruments might include optical sensors and an inertial measurement unit (IMU).

This collection of worksheets, homework assignments, and study skills exercises was created through a Round 14 Textbook Transformation Grant. The worksheets supplement the following topics as covered in OpenStax Precalculus: Functions, domain and range, rates of change, inverse functions, exponential functions, logarithmic functions, exponential growth modeling, angles, sine and cosine, right triangles, sum identities, and difference identities. Study skills exercises include growth mindset and metacognition activities.

Using a systems framework, this textbook provides a clear and comprehensive introduction to the performance, analysis, and design of radio systems for students and practicing engineers. Presented within a consistent framework, the first part of the book describes the fundamentals of the subject: propagation, noise, antennas, and modulation. The analysis and design of radios including RF circuit design and signal processing is covered in the second half of the book.

Key features
- Numerous examples within the text involve realistic analysis and design activities, and emphasize how practical experiences may differ from theory or taught procedures.
- RF circuit design and analysis is presented with minimal involvement of Smith charts, enabling students to more readily grasp the fundamentals.
- Both traditional and software-defined/direct sampling technology are described with pros and cons of each strategy explained.
- 517 pages. Licensed CC BY NC 4.0.

"This textbook gives engineering students a complete overview of radio systems and provides practicing wireless engineers with a convenient comprehensive reference."
- Patrick Roblin, Ohio State University

Radio Systems Engineering, Revised First Edition was previously published by Cambridge University Press (2016) ISBN 9781107068285. This version is © Steven W. Ellingson and has been lightly updated to correct known errata, minor issues with text and figures, and to present examples in color highlight boxes and some figures in color. It is made freely available and under a Creative Commons Attribution NonCommercial International License (CC BY NC 4.0).

Are you reviewing or adopting this book for a course?
Please help us understand your use by filling out this form: https://bit.ly/interest_radiosystemsengineering_revised1st
Join the instructor group (https://oercommons.org/groups/radio-systems-engineering-instructor-group/14443/) to connect with other instructors interested in this resource.

How to access the book
The main landing page for this book is https://doi.org/10.21061/radiosystemsengineering-revised1st.
The open textbook is freely available online in multiple formats including PDF and HTML [forthcoming].
A paperback print version (in color) is available for order here: https://www.amazon.com/Radio-Systems-Engineering-Revised-First/dp/1957213752

ISBNs
ISBN (PDF): 978-1-957213-76-7
ISBN (HTML): 978-1-957213-77-4 (accessible version forthcoming)
ISBN (print): 978-1-957213-75-0

Table of contents
Chapter 1: Introduction
Chapter 2: Antenna Fundamentals
Chapter 3: Propagation
Chapter 4: Noise
Chapter 5: Analog Modulation
Chapter 6: Digital Modulation
Chapter 7: Radio Link Analysis
Chapter 8: Two-Port Concepts
Chapter 9: Impedance Matching
Chapter 10: Amplifiers
Chapter 11: Linearity, Multistage Analysis, and Dynamic Range
Chapter 12: Antenna Integration
Chapter 13: Analog Filters & Multiplexers
Chapter 14: Frequency and Quadrature Conversion in the Analog Domain
Chapter 15: Receivers
Chapter 16: Frequency Synthesis
Chapter 17: Transmitters
Chapter 18: Digital Implementation of Radio Functions
Appendix A: Empirical Modeling of Mean Path Loss
Appendix B: Characteristics of Some Common Radio Systems

About the author
Dr. Steven W. Ellingson
Steven W. Ellingson is an Associate Professor of Electrical & Computer Engineering at Virginia Tech. He received the Ph.D. degree in Electrical Engineering from the Ohio State University. He held senior engineering positions at Booz-Allen & Hamilton, Raytheon, and the Ohio State University ElectroScience Laboratory before joining the faculty of Virginia Tech. His research is in the areas of antennas and propagation, applied signal processing, and radio frequency instrumentation, with funding from the U.S. National Science Foundation, National Aeronautics and Space Administration, the Defense Advanced Research Projects Agency, and the commercial communications and aerospace industries. Dr. Ellingson serves as a consultant to industry and government on topics pertaining to radio frequency systems.

Suggested citation
Ellingson, Steven W. (2023). Radio Systems Engineering, Revised First Edition. Blacksburg. https://doi.org/10.21061/radiosystemsengineering-revised1st. Licensed with CC BY NC 4.0.

View Errata: https://bit.ly/errata_radiosystemsengineering_revised1st
Report an Error: https://bit.ly/reporterror_radiosystemsengineering_revised1st

Accessibility
Virginia Tech is committed to making its publications accessible in accordance with the Americans with Disabilities Act of 1990.

Students use their understanding of projectile physics and fluid dynamics to find the water pressure in water guns. By measuring the range of the water jets, they are able to calculate the theoretical pressure. Students create graphs to analyze how the predicted pressure relates to the number of times they pump the water gun before shooting.

This 2-minute video lesson shows how to find the range and the mid-range of a set of numbers. [Statistics playlist: Lesson 2 of 85]