Summary of Adaptations

Full Resource Adaptations

Across all chapters of the resource, the following changes/edits were made (where necessary):

• Consistent colored textboxes throughout
  • Definitions added as orange-colored boxes and key words in definitions bolded
• Edited all mathematical notations to have them appear in LaTex
• Created and added H5P activities for select concepts
• Added "Show Solution" drop-downs for the following (answers from "Answer Key" in original source):
  • Examples, Try-its, and Section Exercises in each Section
  • Chapter Review Exercises and Chapter Practice Test and the end of each Chapter
• Added embedded videos from YouTube, instead of link of video title as seen in original source's "Media" sections
• Renumbered Section Exercises, Chapter Review Exercises, and Chapter Practice Test
• Added Heading 1 for use in the Table of Contents with:
  • main parts (objectives) in each Section
  • Key Concepts, Section Exercises, and Glossary (where applicable)
• Made Chapter Review Exercises for each Chapter, from original source's "Review Exercises" pages
• Made Chapter Practice Test for each Chapter, from original source's "Practice Test" pages
• Moved "Key Terms" from original source's Chapter Review to be at the end of each Section; renamed to "Glossary"
• Moved "Key Concepts" and "Key Equations" from original source's Chapter Review to be separate corresponding sections at the end of each Section, or merged them into one section
• Minor editing, removal, and/or reordering of content for flow and clarity:
  • Edited some purple box (Example) titles from original source title and minor editing to select Examples
  • Moved some Q&A's to be at new places within the Sections
  • Removed, added, and/or edited Headings from what was found in original source
  • "Analysis" content put in separate shaded section after select Examples
  • Resized tables to fit on screen
  • Removed any linking that would go back to original source (Figure #, Table #, Footnotes, and "Key Points" links). Made linking stay within this source if needed.
  • Numbered Examples, Figures, and Tables, where necessary
  • Adjusted some language for clarity
• Images from the original source added to Pressbook Media Library and pertinent attribution information added; found as Media Attributions at the end of each Section

Accessibility Adaptations

• Checked video captions for accuracy
• Hyperlinks checked for opening in a new tab if link was to an external website
• Headers adjusted to not skip levels
• List formatting to ensure ordered list functionality
• Alt-tags on images:
  • used as provided from source, where applicable
  • added if missing
  • rewritten to make shorter or longer if needed, while keeping the meaning/content of the image
• Added text as long image descriptions to assist with the alt-text on images, if needed
• Original captions used for Tables and Images, but adjustments where needed:
  • some edited from what was provided from the original source
  • some created where none existed from the original source

Chapter-Specific Changes

Chapter 1: Prerequisites

Introduction

• In the last statement, 'and trigonometry.' was deleted.  "This understanding will serve as prerequisite knowledge throughout our study of algebra and trigonometry."

Real Numbers: Algebra Essentials

• First Try It under Formulas - added a more detailed solution

Polynomials

• Deleted the Learning Objective - "Use FOIL to multiply binomials" since this topic falls underneath the Multiplying Polynomial objective.

Chapter 2: Equations and Inequalities

Linear Equations in One Variable

• Changed Learning Objectives: Solve equations in one variable algebraically.

Model and Applications

• Deleted "access online resource video section"

Complex Numbers

• Added Learning Objective: "Define complex numbers"

Linear Inequalities and Absolute Value Inequalities

• Changed objectives:
  • Use interval notation. Write solutions using interval notation.
  • Use properties of inequalities. (This objective is covered under solve inequalities as properties are used in solving)
  • Solve inequalities in one variable algebraically.
  • Solve absolute value inequalities
• Need help with the aligned of the array in the Properties of Inequalities box.
• Deleted the Graphic portion of the Section Exercises because graphing is covered later - due to rearrangement.

Chapter 3: Functions

Introduction to Functions

• Moved "the list of sections" (originally listed in the section "Introduction to Functions") to the table of content.

The Rectangular Coordinate Systems and Graphs

• Moved "The Rectangular Coordinate System and Graphs" section (originally in Chapter 2 - Equations and Inequalities) to Chapter 3: Functions.

Domain and Range

• Deleted section exercises [latex]40-45, 48-51, 54[/latex], and [latex]57[/latex]

Absolute Value Functions

• Deleted section exercises [latex]5[/latex] and [latex]38[/latex]

Chapter 4: Linear Functions

• Added "Linear Equations in Two Variables" (originally in Linear Equations in One Variable - Equations and Inequalities.) to Chapter 4: Linear Functions.
• Moved "Systems of Equations in Two Variables" (originally in Chapter 11 - Systems of Equations and Inequalities) to Chapter 4: Linear Functions.
  • Learning Objectives and Examples were adjusted to match the new sections.
• Deleted "access online resource video section"

Introduction

• Footnote link removed, but footnote reference kept at the bottom of the page.

Linear Equations in Two Variables

• One objective changed:
  • Find a linear equation.  to Write a linear equation in two variables.

Linear Functions

• Moved some of the key concepts from Linear Functions to Linear Equations in Two variables - concepts pertaining to parallel and perpendicular.
• Removed the objectives and put in previous section (Linear Equations in Two Variables):
  • Determine whether lines are parallel or perpendicular.
  • Write the equation of a line parallel or perpendicular to a given line.

Chapter 5: Polynomial and Rational Functions

Rational Functions

• Need labels below each table
  • Remove links to figures after table titles are fixed
• Created new graphs for 2 Try it problems.
  • Need graph after try it “down 4 units” and try it #8 in show solution. Created graph with geogebra.
• Changed the graph in exercise #35 to the correct graph as found in precalculus book.

Chapter 6: Exponential and Logarithmic Functions

Graphs of Exponential Functions

• Created two exponential graphs that were added

Graphs of Logarithmic Functions

• Added heading one to learning objectives (Graphing Transformation of Logarithmic Functions).

Exponential and Logarithmic Equations

• In the problem, using the Formula for Radioactive Decay to Find the Quantity of a Substance,
  • How long will it take for ten percent of a 1000-gram (g) sample of uranium-235 to decay? I added (g).
  • After 10% decays, 900 grams are left.

Back Matter

Proofs, Identities, and Toolkit Functions

• Deleted Heron's Formula, Properties of the dot product, Standard form of the Ellipse, Standard form of the Hyperbola, and their proofs.
• Deleted Trigonometric Identities, the Unit Circle, and the table of the values of the trigonometric functions.