This is a three-credit course which covers topics that enhance the students’ problem solving abilities, knowledge of the basic principles of probability/statistics, and guides students to master critical thinking/logic skills, geometric principles, personal finance skills. This course requires that students apply their knowledge to real-world problems. A TI-84 or comparable calculator is required. The course has four main units: Thinking Algebraically, Thinking Logically and Geometrically, Thinking Statistically, and Making Connections. This course is paired with a course in MyOpenMath which contains the instructor materials (including answer keys) and online homework system with immediate feedback. All course materials are licensed by CC-BY-SA unless otherwise noted.

In this project, students will have the opportunity to explore how math is used to solve real-world problems. In this case, students will examine how linear equations may be used to predict the size of megalodon based on the size and position of a fossilized tooth. You may have students work individually or as part of a team (3-4 would be ideal).

Putting Math to Work

Type of Unit: Problem Solving

Prior Knowledge

Students should be able to:

Solve problems involving all four operations with rational numbers.
Write ratios and rates.
Write and solve proportions.
Solve problems involving scale.
Write and solve equations to represent problem situations.
Create and interpret maps, graphs, and diagrams.
Use multiple representations (i.e., tables, graphs, and equations) to represent problem situations.
Calculate area and volume.
Solve problems involving linear measurement.

Lesson Flow

Students apply and integrate math concepts they have previously learned to solve mathematical and real-world problems using a variety of strategies. Students have opportunities to explore four real-world situations involving problem solving in a variety of contexts, complete a project of their choice, and work through a series of Gallery problems.

First, students utilize their spatial reasoning and visualization skills to find the least number of cubes needed to construct a structure when given the front and side views. Then, students select a project to complete as they work through this unit to refine their problem-solving skills. Students explore the relationship between flapping frequency, amplitude, and cruising speed to calculate the Strouhal number of a variety of flying and swimming animals. After that, students explore the volume of the Great Lakes, applying strategies for solving volume problems and analyzing diagrams. Next, students graphically represent a virtual journey through the locks of the Welland Canal, estimating the amount of drop through each lock and the distance traveled. Students have a day in class to work on their projects with their group.

Then, students have two days to explore Gallery problems of their choosing. Finally, students present their projects to the class.

Word Count: 28360

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

This course was originally developed for the Open Course Library project.  The text used is Math in Society, edited by David Lippman, Pierce College Ft Steilacoom.  Development of this book was supported, in part, by the Transition Math Project and the Open Course Library Project. Topics covered in the course include problem solving, voting theory, graph theory, growth models, finance, data collection and description, and probability.

Volume 1

Short Description:
The Math for Trades: Volume 1 textbook represents the building blocks for math training. The book includes whole numbers, fractions, decimals, and percents. The material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. The goal of this volume is to get students prepared for the more advanced topics that they will encounter during their trades math education.

Word Count: 23254

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Short Description:
The Math for Trades: Volume 2 textbook continues where the first volume left off. Volume 2 increases the challenge with topics such as converting units and working with equations, perimeter, area, and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions. The goal of this volume is to take the material you learned in Math for Trades: Volume 1 and apply it to more advanced topics that you may encounter during your trades training.

Long Description:
The Math for Trades: Volume 2 textbook continues where the first volume left off. Volume 2 increases the challenge with topics such as converting units, working with equations, perimeter, area and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions. The goal of this volume is to take the material you learned in Math for Trades: Volume 1 and apply it to more advanced topics that you may encounter during your trades training.

Word Count: 26548

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Short Description:
The Math for Trades: Volume 1 textbook represents the building blocks for math training. The book includes whole numbers, fractions, decimals, and percents. The material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. The goal of this volume is to get students prepared for the more advanced topics that they will encounter during their trades math education.

Word Count: 23344

ISBN: 978-1-77420-061-2

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Short Description:
Download FREE digital formats or read online.The Math for Trades: Volume 1 textbook represents the building blocks for math training. The book includes whole numbers, fractions, decimals, and percents. The material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. The goal of this volume is to get students prepared for the more advanced topics that they will encounter during their trades math education.

Word Count: 22191

ISBN: 978-1-998755-28-8

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Short Description:
The Math for Trades: Volume 2 textbook continues where the first volume left off. Volume 2 increases the challenge with topics such as converting units and working with equations, perimeter, area, and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions. The goal of this volume is to take the material you learned in Math for Trades: Volume 1 and apply it to more advanced topics that you may encounter during your trades training.

Long Description:
The Math for Trades: Volume 2 textbook continues where the first volume left off. Volume 2 increases the challenge with topics such as converting units, working with equations, perimeter, area and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions. The goal of this volume is to take the material you learned in Math for Trades: Volume 1 and apply it to more advanced topics that you may encounter during your trades training.

Word Count: 29113

ISBN: 978-1-77420-113-8

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Short Description:
The Math for Trades: Volume 2 textbook continues where the first volume left off. Volume 2 increases the challenge with topics such as converting units and working with equations, perimeter, area, and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions. The goal of this volume is to take the material you learned in Math for Trades: Volume 1 and apply it to more advanced topics that you may encounter during your trades training.

Long Description:
The Math for Trades: Volume 2 textbook continues where the first volume left off. Volume 2 increases the challenge with topics such as converting units, working with equations, perimeter, area and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions. The goal of this volume is to take the material you learned in Math for Trades: Volume 1 and apply it to more advanced topics that you may encounter during your trades training.

Word Count: 27605

ISBN: 978-1-998755-30-1

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Short Description:
The Math for Trades: Volume 3 textbook continues the tradition that Math for Trades: Volume 1 and Math for Trades: Volume 2 started. This volume continues the journey through math with topics such as capacities, pressure and total force, grade and total fall and trigonometry. These topics take the foundation that as been built in the first two volumes and adds new layers. Once again the material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. There is also a voiceover which follows along with each section and chapter. This material should provide useful in the continuation of your trades training.

Long Description:
The Math for Trades: Volume 3 textbook continues the tradition that Math for Trades: Volume 1 and Math for Trades: Volume 2 started. This volume continues the journey through math with topics such as capacities, pressure and total force, grade and total fall and trigonometry. These topics take the foundation that as been built in the first two volumes and adds new layers. Once again the material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. There is also a voiceover which follows along with each section and chapter. This material should provide useful in the continuation of your trades training.

Word Count: 23740

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Short Description:
The Math for Trades: Volume 3 textbook continues the tradition that Math for Trades: Volume 1 and Math for Trades: Volume 2 started. This volume continues the journey through math with topics such as capacities, pressure and total force, grade and total fall and trigonometry. These topics take the foundation that as been built in the first two volumes and adds new layers. Once again the material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. There is also a voiceover which follows along with each section and chapter. This material should provide useful in the continuation of your trades training.

Long Description:
The Math for Trades: Volume 3 textbook continues the tradition that Math for Trades: Volume 1 and Math for Trades: Volume 2 started. This volume continues the journey through math with topics such as capacities, pressure and total force, grade and total fall and trigonometry. These topics take the foundation that as been built in the first two volumes and adds new layers. Once again the material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. There is also a voiceover which follows along with each section and chapter. This material should provide useful in the continuation of your trades training.

Word Count: 25305

ISBN: 978-1-77420-173-2

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).

Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).

We all know that calculus courses such as 18.01 Single Variable Calculus and 18.02 Multivariable Calculus cover univariate and vector calculus, respectively. Modern applications such as machine learning and large-scale optimization require the next big step, "matrix calculus" and calculus on arbitrary vector spaces.
This class covers a coherent approach to matrix calculus showing techniques that allow you to think of a matrix holistically (not just as an array of scalars), generalize and compute derivatives of important matrix factorizations and many other complicated-looking operations, and understand how differentiation formulas must be reimagined in large-scale computing.

This course provides an introduction to nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering. The course concentrates on simple models of dynamical systems, mathematical theory underlying their behavior, their relevance to natural phenomena, and methods of data analysis and interpretation. The emphasis is on nonlinear phenomena that may be described by a few variables that evolve with time.