All resources in Mathematics

Financial Calculator – Savings and Payout Annuities

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This resource is a financial calculator that students may use in a finance portion of a mathematics class, a mathematics portion of a business or finance class, or wherever the user may find it useful. The calculator can find future value and payment/deposit amount of a savings annuity. It can also find present value and withdrawal/payment amount of a payout annuity/loan.

Material Type: Activity/Lab, Interactive

Author: Mike Rozinski

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Intermediate Algebra Fully Online Course

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Intermediate Algebra Basic algebraic concepts, including rational expressions, functions and their graphs, radicals, quadratics, and logarithms/exponentials.  Prerequisite: MAT 091 or placement beyond prerequisite. Four lecture.Course GoalsTo build student confidence in the use algebraic skills to expand and reinforce concepts previously learned, to have students develop a positive attitude toward mathematics and to build algebraic skills in the listed areas.

Material Type: Full Course

Authors: Linda Neff, Madilyn Marshall, Maya Lanzetta

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Collaborative OER Course Design - Professional Development Plan for In-Person Collaborative Work Session

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The work plan outlined here is intended to facilitate a 4-hour session for a collaborative work group of subject matter experts. This group's mission is to develop course learning outcomes that blend collaborators’ course learning outcomes into one set of outcomes. Our objective is to craft a course module template aligned with the new course learning outcomes that is versatile enough to be adopted by multiple institutions across the globe.

Material Type: Lesson Plan

Author: Linda Neff

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MATH 141/2 AZ Consortium Course

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This course was created collaboratively by faculty from multiple community colleges in Arizona including, Central Arizona College, Eastern Arizona College, Mohave Community Collegge, Northland Pioneer College, and Yavapai College. through this collaborative effort, this course can be adopted among any institutions--in Arizona and beyond--who are looking for a college algebra courses.

Material Type: Full Course

Authors: Micah Weedman, Andrea Schaben, Laurel Clifford, James Gil, Shane Gibson

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College Algebra: An Inverse Approach

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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.

Material Type: Textbook

Authors: Linda Neff, Dan Cook

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

Introductory Statistics

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Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.

Material Type: Textbook

Authors: Barbara Ilowsky, Susan Dean

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Factoring - Supplemental Learning Module

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The Factoring module is separated into two parts -- factoring numbers and factoring algebraic expressions.  Each part has subtopics. Each subtopic has a video lecture and a practice assignment.  The video lecture page includes guided notes in pdf form and videos that follow the guided notes.  Each video lecture page also includes supplemental YouTube videos which are optional for students and may be used if further instruction is needed.  The practice assignment is a set of exercises in Derivita that correspond to the skills covered in the video lecture.This work, by Magdalene (Maxie) Inigo, is licensed under a Creative Commons Attribution 4.0 International License.Links to an external site.CC-BY

Material Type: Homework/Assignment, Lecture Notes, Lesson, Module

Author: Linda Neff

CTE Architecture: Access Ramp

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This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Material Type: Activity/Lab, Assessment, Homework/Assignment, Lesson Plan

Neglecting the Curvature of the Earth

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This task applies geometric concepts, namely properties of tangents to circles and of right triangles, in a modeling situation. The key geometric point in this task is to recognize that the line of sight from the mountain top towards the horizon is tangent to the earth. We can then use a right triangle where one leg is tangent to a circle and the other leg is the radius of the circle to investigate this situation.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Fundamentals of Waves

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This lesson is broken up into three different parts.Part 1/Resource 1In this lesson students will learn the basics of waves and how to graph them.  They will learn how to find the period, amplitude, and frequency of a wave. Part 2/Resource 2In this lesson students learn the connection between waves and music. Part 3/ Resource 3Students will learn the concept of superposition. CC-BY Kaleb Alles, Mountain Heights Academy 

Material Type: Lesson Plan

Author: Crystal Van Ausdal

Trigonometry Lecture Videos (Open Campus Math 112)

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These Trigonometry lecture videos coterminal angles, trig functions, quadrantal angles, special acute angles, co-functions, finding theta, reference angles, trig functions, radian measure, arc length, area of a sector, graphing sine and cosine using t-table, amplitude and frequency, phase shift for sine and consine, vertical shift, tangent curve, cotangent transformations, evaluating trig identities, trig expressions, sum and difference for cosine, double and half angle identities, inverse, principal values, solving difficult trig equations, law of cosines, area of a triangle, and vectors and bearing.

Material Type: Lecture

Author: Stacey Black

OpenStax Algebra & Trigonometry Recorded Lectures and Notes for College Algebra

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This resource is a collection of full hour-long lectures and accompanying notes covering most of chapters 3-6 of the OpenStax Algebra and Trigonometry book. The notes are provided in both .DOCX and .PDF format to accommodate downloading ease. Students should be encouraged to print notes and fill them out as they watch through the lectures.

Material Type: Full Course, Lecture, Lecture Notes

Author: Libby Gore

Trigonometry

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This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section. Each section also contains several progress checks that are short exercises or activities designed to help readers determine if they are understanding the material. In addition, the text contains links to several interactive Geogebra applets or worksheets. These applets are usually part of a beginning activity or a progress check and are intended to be used as part of the textbook. The authors are very interested in constructive criticism of the textbook from the users of the book, especially students, who are using or have used the book. Please send any comments you have to trigtext@gmail.com.

Material Type: Textbook

Authors: Steven Schlicker, Ted Sundstrom