- Pikes Peak Library District
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- Topic Guides - Math and Science
- Algebra and Geometry

This how-to guide helps students and parents navigate resources connected to Math and Science topics.

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- Algebra and Geometry
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Specific key words or phrases are necessary to find information in databases or the library catalog. We recommend:

- Algebraic expression
- Binomial
- Polynomial
- Factoring polynomials
- Rational expression
- Quadratic equations
- Pythagorean theorem
- Trigonometry

- You can use these search terms to find books in the library catalog and eBooks or eAudiobooks in the eLibrary.
- To narrow your search, type two terms into a search bar in this format: "Term 1" AND "Term 2". This search will only provide resources that include both terms. Combine any two search terms from the box into a database search bar to see what you find.
- Find more database search tips on the Debate Issues & Paper Topics guide, in the Database Search Tops box.

This guide is connected to the following Colorado Academic Standards

- Math Practice MP1. Make sense of problems and persevere in solving them.
- Math Practice MP2. Reason abstractly and quantitatively.
- Math Practice MP3. Construct viable arguments and critique the reasoning of others.
- Math Practice MP4. Model with mathematics.
- Math Practice MP5. Use appropriate tools strategically.

This guide will support students by building further knowledge in:

- Different library resources – what they are and how they are useful for understanding algebra and geometry.
- How to effectively find information in these sources using search terms.

Databases are subject-specific search engines that provide access to journal articles and other reliable resources. The following PPLD databases are recommended for students studying algebra and geometry:

- Academic Search Premier This link opens in a new windowSearches almost 3500 full text academic and scholarly journals.
- Explora for Public Libraries This link opens in a new windowFind articles and facts from the world’s leading magazines and reference books in one search.
- Gale Virtual Reference Library This link opens in a new windowSearches our entire collection of Gale eBooks on a variety of subjects, including history, science, government, business and more.
- HelpNow (Brainfuse) This link opens in a new windowLive homework help and skills building from expert tutors in math, science, social studies and English plus writing and reading assistance. Designed for grades K - Adults. Tutors available online Monday - Sunday from 2 - 11 p.m. MDT.

Reference materials are things like encyclopedias and handbooks that provide quick facts and summaries of different subjects. The following encyclopedias and dictionaries in the PPLD catalog support the study of algebra and geometry:

- Homework Helpers: Algebra, Revised Edition by Denise SzecseiISBN: 9781601636577Publication Date: 2011-09-15Homework Helpers: Algebra will help build a solid mathematical foundation and enable students to gain the confidence they need to study Algebra II. This book also contains a summary of important formulas for easy reference.
- Children's Encyclopedia of Math by Tim CollinsISBN: 9781839406065Publication Date: 2021-03-15This comprehensive encyclopedia presents in-depth information in a way that is engaging and accessible to young readers.
- Stress-Free Math by Theresa FitzgeraldISBN: 9781646320158Publication Date: 2020-07-01Covering everything from "addend" to "zero," Stress-Free Math is perfect for both kids and their parents looking for help with math homework and the tools to ace the class! Gives students in grades 4–9 more than 400 definitions, full-color illustrations, and examples. Covers subjects like measurement, algebra, geometry, fractions and decimals, statistics and probability, and problem solving.

Reference materials are things like encyclopedias and handbooks that provide quick facts and summaries of different subjects. The following books in the PPLD catalog support the study of algebra and geometry:

- Practical Algebra by Bobson Wong; Larisa Bukalov; Steve SlavinISBN: 9781119715436Publication Date: 2022-04-14Written by two experienced classroom teachers, this Third Edition is completely revised to align with the Common Core Algebra I math standards used in many states. You'll get an overview of solving linear and quadratic equations, using ratios and proportions, decoding word problems, graphing and interpreting functions, modeling the real world with statistics, and other concepts found in today's algebra courses.
- Painless Algebra by Lynette LongISBN: 9781506268064Publication Date: 2020-08-25Teaches algebra by explaining integers, simple equations with one variable, inequalities, systems of equations, exponents, roots, radicals, and quadratic equations.
- Algebra I by Carolyn WheaterISBN: 9781615647750Publication Date: 2015-06-02Starting with the very basics and reinforcing concepts with practice and tips along the way, Idiot's Guides: Algebra I makes a complex subject easier to grasp and helps students and adult learners clear the hurdle that can stand between them and their academic goals. Special sidebars point out the reasoning behind the techniques (part of essential Common Core instruction) and a separate workbook section offers extra practice problems.
- Painless Geometry by Lynette LongISBN: 9781506268040Publication Date: 2020-09-01Comprehensive coverage of geometry, including characteristics of distinct shapes, relationships between parallel and perpendicular lines, geometric principles that can solve real-world problems, and much more. Diagrams, charts, instructive math illustrations, proofs, and experiments. Painless tips, common pitfalls, and math talk boxes that translate complex "math speak" into easy-to-understand language. Brain Tickler quizzes and answers throughout each chapter to test your progress.

You can use trusted, online sources to find information. For more information on reliable, online sources, please visit PPLD’s Debate Issues & Paper Topics guide. PPLD recommends:

- Wolfram MathWorldMathWorld is the web's most extensive mathematical resource, provided as a free service to the world's mathematics and internet communities as part of Wolfram Research's commitment to education and educational outreach.
- West Texas A&M - Virtual Math LabIf you need help in College Algebra, Intermediate Algebra, Beginning Algebra, Math for the Sciences, or preparing for the math part of the general GRE, THEA or ACCUPLACER test, you have come to the right place. Note that you do not have to be a student at WTAMU to use any of these online tutorials. They were created as a free service to anyone who needs help in these areas of math.
- Free Math HelpLessons, calculators, games and forums.
- Carnegie Learning - Geometry ResourcesExplore guides and resources for Geometry, where students strengthen their mathematical reasoning skills in geometric contexts.
- PBS Learning Media - High School GeometryResources in High School Geometry explore the properties of angles, shapes, and figures in space. Angles are analyzed using pool balls in an interactive lesson and video, students can discover how using concentric circles can help determine how much paint is needed to cover the deck of a carousel, and volume is analyzed through experiments with popcorn and meatballs.
- MathPlanet - GeometryMath planet is an online resource where one can study math for free. Take our high school math courses in Pre-algebra, Algebra 1, Algebra 2 and Geometry. We have also prepared practice tests for the SAT and ACT.

Use these multimedia sources to watch or listen to information on this topic.

- Algebra 1 - The Great CoursesAlgebra I is an entirely new course designed to meet the concerns of both students and their parents. These 36 accessible lectures make the concepts of first-year algebra - including variables, order of operations, and functions-easy to grasp. For anyone wanting to learn algebra from the beginning, or for anyone needing a thorough review, Professor James A. Sellers will prove to be an ideal tutor. This video is accessible through Kanopy in the PPLD eLibrary.
- Geometry - The Great CoursesInscribed over the entrance of Plato’s Academy were the words, “Let no one ignorant of geometry enter my doors.” To ancient scholars, geometry was the gateway to gaining a profound knowledge of the world. Today, geometry’s core skills of logic and reasoning are essential to success in school, work, and many other aspects of life. This video is accessible through Kanopy in the PPLD eLibrary.

- Last Updated: Aug 29, 2023 11:20 AM
- URL: https://research.ppld.org/topic-guides-math-science
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