Math9-12

Math
Grades 9-12

Number Sense and Operations Resources

Print and Media

Austin, J. D. (ed.). (1991). Applications of secondary school mathematics: Readings from the Mathematics Teacher. Reston, VA: National Council of Teachers of Mathematics. 339 p., ISBN 0873533364, $25.95
A selection of more than 75 articles from fifteen years of the Mathematics Teacher, this resource provides real-world applications of mathematics principles that are designed to motivate student learning. The articles are indexed by both application areas and mathematical topics.
Audience: Teachers
Subjects: Problem solving, Real-world applications
Standard:
Strand: All

Bunch, B. (2000). The kingdom of infinite number: A field guide. New York: Freeman. 388 p. ISBN 0716733889, $23.95
The author looks at numbers in fresh ways and details the properties that make them unique. He also helps to provide the reader with insight into mathematical patterns and relationships.
Audience: 9-12, Teachers
Subjects: Numeration, Number concept
Standard:
Strand: Number Sense and Operations; Patterns, Relations, and Algebra

Gullberg, J. (1997). Mathematics: From the birth of numbers. New York: W. W. Norton. 1093 p., ISBN 039304002X, $50.00
A unique and inclusive book that surveys mathematics, it also includes quotations, illustrations, commentary, humorous observations, and plenty of interesting problems to solve (solutions are included). This is a top-notch resource that teachers can use to enhance their lessons and engage their students. Students searching for topics for math projects can also use it as a reference.
Audience: 9-12, Teachers
Subjects: Mathematicians, Mathematics--History, Problem solving
Standard:
Strand: All

Henderson, H. (1996). Modern mathematicians. New York: Facts on File. 139 p. ISBN 0816032351
This resource provides readers with information on 12 men and women who contributed to mathematics and its development. Each brief biography includes historical background and context, personal and career information, achievements, and impact on the field of mathematics. Subjects include Babbage, Lovelace, Boole, Cantor, Kovalevskaia, Noether, Ramanujan, Ulam, Chern, Turing, Robinson, Mandelbrot, and Conway.
Audience: 9-12, Teachers
Subjects: Mathematicians, Mathematicians—Biography, Mathematics--History
Standard:
Strand: All

Hopkins, N. J., Mayne, J. W., & Hudson, J. R. (1992). The numbers you need. Detroit: Gale Research. 349 p. ISBN 081038373X
This handbook helps the reader to deal with and to understand numbers and math problems that are encountered in daily life. Targeted areas include money, health and fitness, weather and the environment, gambling, cards, and games, sports and statistics, home, hobbies, and workshops, and popular science. The appendices provide useful information and tools that might be needed.
Audience: 9-12, Teachers
Subjects: Problem solving, Real-world applications, Mathematics—Popular works
Standard:
Strand: All

Johnson, A. (1999). Famous problems and their mathematicians. Englewood, Colorado: Teacher Ideas Press. 179 p., ISBN 1563084465, $24.00
This comprehensive resource presents mathematicians from all time periods and the mathematical problems and solutions that they developed. Math is presented as a living discipline that is shaped by people, history, and culture and has application to the real world. Each problem also has a related student activity that may be discussed and done with students.
Audience: 9-12, Teachers
Subjects: Mathematicians, Mathematics--History, Problem solving
Standard:
Strand: All

Johnston, C. L., Willis, A. T., & Hughes, G. M. (1995). Developmental mathematics. (4^th ed.). Brooks/Cole. 640 p., ISBN 0534945007, $87.95
The topics are explained in detail, examples are used to illustrate, and many problems and exercises are included that can be used in classroom situations.
Audience: 9-12, Teachers
Subjects: Algebra, Geometry, Problem solving
Standard:
Strand: All

Mathematics Education Trust Committee and Focal Point Productions. (1991). Algebra for Everyone Videotape and Discussion Guide. [Video]. (Available from National Council of Teachers of Mathematics) ISBN 0873533852, 19 min., $48.95
Based on the work of Edgar L. Edwards, this video maintains that algebra should be accessible to everyone and presents a wide variety of approaches and techniques that teachers can use with their students. The emphasis is always on real-life applications of algebraic principles.
Audience: Teachers
Subjects: Algebra--Study and teaching
Standard:
Strand: All

Pappas, T. (1997). Mathematical scandals. San Carlos, CA: Wide World Publishing/Tetra. 149 p., ISBN 188455010X, $10.95.
Using vignettes, coupled with factual background material, this volume presents the real, and sometimes strange, human stories of numerous mathematicians.
Audience: Teachers
Subjects: Mathematicians, Mathematicians—Biography, Mathematics--History
Standard:
Strand: All

Paulos, J. A. (1990). Innumeracy: Mathematical illiteracy and its consequences. New York: Vintage Books. 180 p., ISBN 0679726012, $12.00
The author maintains that today’s population is not able to adequately deal with numbers, probability, ratios, and statistics. This innumeracy, as the author calls it, is having a negative impact on culture. The book is readable by those who are not mathematicians and will spark lots of thought and discussion. Be aware, the author does have a bit of an attitude.
Audience: 11-12, Teachers
Subjects: Mathematics—Popular Works
Standard:
Strand: All

Math
Grades 9-12

Number Sense and Operations Resources

Skip to Print and Media Resources

Web Sites

Bellew, P. (2000). Math Words, and Some Other Words, of Interest.
This straightforward dictionary defines over 300 math- and science-related words. It includes origins, some illustrations, and useful links.
URL: http://www.geocities.com/poetsoutback/etyindex.html free
Audience: 9-12, Teachers
Subjects: Mathematics--Dictionaries
Standard:
Strand: All

Cornell University. (2000). Cornell Theory Center Math and Science Gateway.
A great link to online resources in math and science for students in grades 9-12 and for educators, the mathematics page lists sites that are grouped by general topics. Free and commercial mathematics software sites are included.
URL: http://www.tc.cornell.edu/Services/Edu/MathSciGateway/math.asp free
Audience: 9-12, Teachers
Subjects: Algebra, Geometry, Probability, Statistics, Mathematics—Study and teaching
Standard:
Strand: All

Department of Mathematical Sciences at University of Texas at El Paso. (1999-2001). S. O. S. Mathematics.
A site that organizes math disciplines by topic, it provides short and easy-to-understand explanations in worksheet format. The site can be used for practice, review, and homework assistance. Students can take online exams to see if they understand topics and can also e-mail math questions to the CyberBoard.
URL: http://www.sosmath.com/index.html free
Audience: 9-12, Teachers
Subjects: Algebra, Geometry, Statistics, Problem solving
Standard:
Strand: All

ExploreLearning. (1999-2001). ExploreMath.com
A site that is designed for both students and teachers, there are wonderful multimedia math activities here that help students to explore and understand mathematical concepts. For teachers, there are lesson plans, monthly newsletters with teaching ideas, and a whole section devoted to creating and maintaining homepages for mathematics courses.
URL: http://www.exploremath.com/ free
Audience: 9-12, Teachers
Subjects: Mathematics—Study and teaching, Lesson plans
Standard:
Strand: All

Glosser, G. (1998-2002). Mrs. Glosser’s Math Goodies.
This is an excellent site that includes interactive lessons, worksheets, homework help for students, forums for students, teachers, and parents, and a search engine. Although the lessons are primarily designed for students in grades 5 through 8, a variety of topics are included, and older students will benefit.
URL: http://www.mathgoodies.com/ free
Audience: 9-10, Teachers
Subjects: Mathematics—Study and teaching, Lesson plans, Problem solving
Standard:
Strand: All

Manura, D. (1999). Dave’s Math Tables.
This extremely useful site contains just about any math tables, formulas, or constants that a user might need, from arithmetic to calculus and beyond. The site is searchable and can be viewed in English or in Spanish. There is also a message board for questions and discussion, a white board for real-time conversations about math topics, and links to a variety of online resources.
URL: http://www.sisweb.com/math/tables.htm free
Audience: 9-12, Teachers
Subjects: Mathematics—Study and teaching, Mathematics tables
Standard:
Strand: All

Math.com. (2000). Math.com: The World of Online Mathematics.
This terrific math site is ideal for students, teachers, and parents. It includes tutoring and homework help, interactive lessons, calculators, converters, and other math tools, formulas and tables, study tips, test preparation, references, games, puzzles, activity sheets, and links to resources that can be purchased. The site is searchable.
URL: http://www.math.com/ free
Audience: 9-12, Teachers
Subjects: Algebra, Geometry, Probability, Statistics, Mathematics—Study and teaching
Standard:
Strand: All

National Council of Teachers of Mathematics. (2001). NCTM Illuminations.
The purpose of this terrific site is to help teachers “translate the NCTM principles and standards for school mathematics into classroom practice.” The site is sorted into sections by grade level and available resources include lesson plans, interactive lessons for students, video vignettes of teaching and learning, links for selected Web resources, current math news, interactive tools, and interactive multimedia math investigations for all grade levels. There is also a searchable version of the updated NCTM math standards.
URL: http://illuminations.nctm.org/index2.html free
Audience: Teachers
Subjects: Mathematics—Study and teaching, Lesson plans
Standard:
Strand: All

New York High School Regents Exam Prep Center. (1999-2001). New York State High School Regents Exam Prep Center: Mathematics A.
Designed for preparation for the A exam, the site offers student lessons, practice pages, exam strategies, and teacher resources. A comprehensive selection of math topics are included.
URL: http://regentsprep.org/Regents/math/math-a.cfm free
Audience: 9-12, Teachers
Subjects: Mathematics—Study and teaching
Standard:
Strand: All

New York High School Regents Exam Prep Center. (1999-2001). New York State High School Regents Exam Prep Center: Mathematics B.
Designed for preparation for the B exam, the site offers student lessons, practice pages, exam strategies, and teacher resources. A comprehensive selection of math topics are included.
URL: http://regentsprep.org/Regents/mathb/mathb.cfm free
Audience: 9-12, Teachers
Subjects: Mathematics—Study and teaching
Standard:
Strand: All

O’Connor, J., & Robertson, E. F. (University of St. Andrews). (2001). MacTutor History of Mathematics Archive.
There are 1300 biographies of mathematicians at this site, and all can be accessed through alphabetical and chronological indexes. There are also articles on the development of mathematical ideas and on famous curves, mathematicians of the day, and links to other mathematician sites. The archive can be searched by keyword—a great way to tie mathematicians to the current classroom topic.
URL: http://www-history.mcs.st-and.ac.uk/history/ free
Audience: 9-12, Teachers
Subjects: Mathematicians, Mathematics--History
Standard:
Strand: All

Office for Mathematics, Science and Technology Education at University of Illinois at Urbana-Champaign. (1994-2001). M2T2: Mathematics Materials for Tomorrow’s Teachers.
Serving as a resource for the development of standards-based, technology-intensive instruction in mathematics and science, this site provides a large database of innovative lessons and curriculum resources that are searchable.
URL: http://www.mste.uiuc.edu/ free
Audience: Teachers
Subjects: Algebra, Geometry, Statistics, Problem solving
Standard:
Strand: All

Stapel, E. (2000-2001). Number Properties.
Here a student can review the three basic properties of numbers--the associative, commutative, and distributive properties.
URL: http://www.purplemath.com/modules/numbprop.htm free
Audience: 9-10
Subject: Number properties
Standard: 10.N.1
Strand: Number Sense and Operations

Stapel, E. (2000-2001). Purplemath—Your Algebra Resource.|
This helpful site provides reviews of beginning, intermediate, and advanced algebra topics (some basic math and geometry topics and word problems are also included). There are links to lesson plans, quizzes, and online tutoring sites, as well as a math study skills self-survey.
URL: http://www.purplemath.com/ free
Audience: 9-12, Teachers
Subject: Mathematics—Study and teaching
Strand: Number Sense and Operations, Patterns, Relations, and Algebra, Geometry

Stapel, E. (2000-2001). Radicals (Square roots, etc.)
This lesson module reviews how to find the approximate value for solutions to problems involving square and cube roots. Helpful hints, examples, and common mistakes to avoid are included, and related material is cross-referenced.
URL: http://www.purplemath.com/modules/radicals.htm free
Audience: 9-10
Subjects: Radicals
Standard: 10.N.3
Strand: Number Sense and Operations

Su, F. E. (1999-2001). Mudd Math Fun Facts.
This site presents wonderful math tidbits (often problems or puzzles that need solving) designed to develop interest in math. The tidbits are termed easy, medium, and advanced and are searchable by math topics. The site’s stated purpose is “…to generate interest, arouse curiosity, and cause…students to look at mathematics differently.” These tidbits can be integrated into any math course and will show that, indeed, math can be fun.
URL: http://www.math.hmc.edu/funfacts/ free
Audience: 9-12, Teachers
Subject: Mathematical puzzles, Problem solving
Standard:
Strand: All

Swarthmore College. (1994-2001) Ask Dr. Math.
This site provides a question and answer service for K-12 math students. There is an archive available that can be searched by level and topic.
URL: http://forum.swarthmore.edu/dr.math/dr-math.html free
Audience: 9-12
Subjects: Algebra, Geometry, Probability, Statistics, Problem solving
Standard:
Strand: All

Swarthmore College. (1994-2001). The Math Forum.
An extensive, searchable collection of math resources, this site includes math news, learning and teaching resources, lesson plans, and links. It is also the home of Ask Dr. Math.
URL: http://forum.swarthmore.edu/ free
Audience: 9-12, Teachers
Subjects: Algebra, Geometry, Probability, Statistics, Mathematics—Study and teaching, Lesson plans
Standard:
Strand: All

Swarthmore College. (1997-2001).Teacher2Teacher (T2Tä).
This is a valuable resource for math educators and parents. Users may search archived discussions, ask questions via e-mail, and discuss math education with colleagues.
URL: http://forum.swarthmore.edu/t2t/ free
Audience: Teachers
Subjects: Mathematics—Study and teaching
Standard:
Strand: All

United States Department of Education, Office of Educational Research and Improvement. (1992-2001). Eisenhower National Clearinghouse (ENC).
This searchable site provides useful information for K-12 math and science teachers and includes a catalog of curriculum resources, links to online sites, and information about events, opportunities, and products and services for math and science educators.
URL: http://www.enc.org/ free
Audience: Teachers
Subjects: Mathematics—Study and Teaching
Standard:
Strand: All

University of Cambridge. (2001). Maths Thesaurus.
This online dictionary/thesaurus was developed specifically for mathematics terms and phrases. It currently contains 3,115 concepts, with 14,583 cross-references. Visitors are invited to suggest new definitions to be added.
URL: http://thesaurus.maths.org/ free
Audience: 9-12, Teachers
Subjects: Mathematics—Dictionaries
Standard:
Strand: All

University of Cambridge. (1998-2001). NRICH Mathematics Enrichment Club.
Established as an interactive center for curriculum enrichment, this site furthers the learning and enjoyment of mathematics. It sends out a regular electronic newsletter to members, provides an e-mail answering service for users and a discussion forum, houses resources for teachers and math clubs, links with other math sites, and maintains a database of problem topics and exercises that are searchable.
URL: http://www.nrich.maths.org/ free
Audience: 9-12, Teachers
Subjects: Problem solving
Standard:
Strand: All

University of Tennessee, Knoxville. (1996-2001). Math Archives.
This is a comprehensive site for K-12 teaching materials and includes lesson plans, topics in math, strong links to other math sites, and an excellent collection of public domain and shareware software that can be used in the teaching of mathematics.
URL: http://archives.math.utk.edu/ free
Audience: Teachers
Subjects: Mathematics—Study and teaching
Standard:
Strand: All

Weisstein, E. (1999-2002). MathWorld.
A terrific, comprehensive site, it includes a math encyclopedia with cross-references, figures, animated graphics, live Java applets, interactive portions, and book references. The search interface is easy-to-use, new and changed topics are noted daily, and there’s even a page that details mathematical news headlines. This site is both fun and informative, and its use may become addictive.
URL: http://mathworld.wolfram.com/about.html free
Audience: 9-12, Teachers
Subjects: Mathematics—Encyclopedias, Mathematics—Study and teaching
Standard:
Strand: All

Zobel, E. A. (1997-2001). Zona Land: Education in Physics and Mathematics.
This marvelous site has two sections—More science than math and More math than science—and allows users to manipulate and interact with animations and graphics, helping to make hard-to-envision concepts clear. There is also a data grapher and an EZ Graph that allows graphing of almost any polynomial, rational, exponential, logarithmic, or trigonometric function. The user can enter variables into the functions and see the effects of the changing coefficients. This site is fun, educational, and a gift to learners everywhere.
URL: http://id.mind.net/~zona/index.html free
Audience: 9-12, Teachers
Subjects: Numerical expressions, Algebra, Geometry, Functions, Trigonometry, Graphing
Standard:
Strand: Number Sense and Operations, Patterns, Relations, and Algebra, Geometry, Measurement

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Math
Grades 9-12

Patterns, Relations, Algebra Resources

Skip down to Web Sites

Print and Media

Johnson, M., & Johnson, T. (2000). How to solve word problems in algebra: A solved problem approach (2^nd ed.). New York: McGraw-Hill. 192 p., ISBN 0071343075, $9.95
This updated study guide gives step-by-step solutions to word problems and fully explained examples. The types of problems included are time, money, work, distance, mixtures, coins, age, and more.
Audience: 9-12
Subjects: Algebra—Problems, Word problems, Problem solving
Standard:
Strand: Patterns, Relations, and Algebra

Project Mathematics, California Institute of Technology. (1991). Polynomials. [Video]. (Available from CalTech Bookstore) 26 min., $29.95 for video, $4.95 for workbook
In this computer-animated video, students learn about polynomials and the shapes of their graphs. A variety of problems and practical applications are included. A workbook and program guide for teacher use is available.
Audience: 11-12, Teachers
Subjects: Polynomials
Standard: 12.P.6, 12.P.13
Strand: Patterns, Relations, and Algebra

Project Mathematics, California Institute of Technology. (1992). Sines and Cosines, Part I. [Video]. (Available from CalTech Bookstore) 20 min., $29.95 for video, $4.95 for workbook
In this computer-animated video, properties of the sine and cosine functions are presented. A variety of problems and practical applications are included. A workbook and program guide for teacher use is available.
Audience: 11-12, Teachers
Subjects: Sines, Cosines, Ratio, Periodic functions, Trigonometry
Standard: 12.G.1, 12.G.2; PC.P.3
Strand: Geometry; Patterns, Relations, and Algebra

Project Mathematics, California Institute of Technology. (1993). Sines and Cosines, Part II. [Video]. (Available from Caltech Bookstore) 30 min., $29.95 for video, $4.95 for workbook
The focus of this computer-generated video is on the law of sines and the law of cosines. A variety of problems and practical applications are included. A workbook and program guide for teacher use is available.
Audience: 11-12, Teachers
Subjects: Sines, Cosines, Triangulation, Trigonometry
Standard: 12.G.2; PC.P.4
Strand: Geometry; Patterns, Relations, and Algebra

Project Mathematics, California Institute of Technology. (1994). Sines and Cosines, Part III. [Video]. (Available from CalTech Bookstore) 30 min., $29.95 for video, $4.95 for workbook
This computer-generated video’s focus is on the relationship between the sine and cosine of an angle and the chord lengths on a circle and the ultimate derivation of addition formulas. A variety of problems and practical applications are included. A workbook and program guide for teacher use is available.
Audience: 11-12, Teachers
Subjects: Sines, Cosines, Trigonometry
Standard: PC.P.5
Strand: Patterns, Relations, and Algebra

Singh, S. (1997). Fermat’s enigma: The epic quest to solve the world’s greatest mathematical problem. New York: Walker and Company. 315 p.,
ISBN 0802713319, $23.00
This details the centuries-long attempts of mathematicians to solve Fermat’s last theorem, a puzzling and perplexing mathematical puzzle. The reader learns about the history of mathematics, major themes of number theory, what drives and inspires mathematicians, and the final solution.
Audience: 11-12, Teachers
Subjects: Fermat’s last theorem, Mathematics—History, Number theory
Standard:
Strand: Patterns, Relations, and Algebra

Stewart, I. (1995). Nature’s numbers: The unreal reality of mathematics. New York: Basic Books. 164 p. ISBN 0465072739, $20.00
The author maintains that math is the best tool we have for understanding the world around us and its many patterns.
Audience: 9-12, Teachers
Subjects: Mathematics—Popular works, Patterns
Standard:
Strand: Patterns, Relations, and Algebra

Math
Grades 9-12

Patterns, Relations, Algebra Resources

Skip to Print and Media Resources

Web Sites

Joyce, D. E. (1996,1997). Dave’s Short Trig Course.
This site provides a helpful online guide to the basic study of trigonometry concepts and includes a definition of and applications of trigonometry, as well as exercises that reinforce the concepts.
URL: http://aleph0.clarku.edu/~djoyce/java/trig/ free
Audience: 11-12, Teachers
Subjects: Sines, Cosines, Functions, Chords, Radians, Geometry, Trigonometry
Standard: 12.P.4;10.G.5, 10.G.6, 12.G.1, 12.G.2, 12.G.5; 12.M.1
Strand: Patterns, Relations, and Algebra; Geometry; Measurement

Khamsi, M. A. (1999). System of Equations: An Introduction.
This site helps students use matrices to solve systems of linear equations. The problems are taken from everyday life.
URL: http://www.sosmath.com/matrix/system0/system0.html free
Audience: 10-12
Subjects: Matrices and Linear Equations, Problem solving
Strand: Patterns, Relations, and Algebra

Knott, R. (1996-2001). Fibonacci Numbers and the Golden Section.
This extensive site explains the Fibonacci sequence and links it to real-world situations. There is also information on Fibonacci’s life and work.
URL: http://www.ee.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html free
Audience: 9-10, Teachers
Subjects: Patterns (Recursive), Fibonacci numbers
Standard: 10.P.1
Strand: Patterns, Relations, and Algebra

Krebs, O. J. (1997-2001). OJK’s Precalculus Study Page.
This is a wonderful site that reviews basic concepts, and the user has the option to move ahead to the next lesson or to review previous material. There are quizzes and tests at the end of each section that can help indicate the user’s degree of understanding. The site also has a challenging puzzle section and a message board to answer questions and help users find answers.
URL: http://www.geocities.com/CapeCanaveral/Launchpad/2426/index.html free
Audience: 9-12
Subjects: Algebra, Geometry, Trigonometry, Precalculus
Standard:
Strand: Patterns, Relations, and Algebra, Geometry, Measurement

MathsDirect. (2000). Binomial Theorem Tutorials.
Here students can review the binomial theorem and its applications and then do exercises and take tests (answers included) to affirm their understanding. For teachers, there are excellent rubrics (mark schemes)

that can be useful when scoring tests. Other portions of the site (http://www.mathsdirect.co.uk/pure/mathsdirectframe.htm) provide tutorials in other math courses and concepts. A tiny portion of the site requires subscription access.
URL: http://www.mathsdirect.co.uk/pure/purtutbin.htm free
Audience: 11-12, Teachers
Subjects: Pascal’s Triangle, Binomial Theorem
Standard: 12.P.1, 12.P.3
Strand: Patterns, Relations, and Algebra

Morse, N. (1999). Solving Word Problems: Applications of Exponential and Logarithmic Functions.
This lesson provides a number of everyday problems that can be solved using linear, reciprocal, quadratic, or exponential functions. Interest rate, mortgage, population, radioactive decay, and earthquake problems are included.
http://www.sosmath.com/algebra/logs/log5/log5.html free
Audience: 9-12
Subjects: Problem solving, Word problems, Compound interest
Standard: 10.P.7
Strand: Patterns, Relations, and Algebra

Stapel, E. (2000-2001). Adding/Subtracting Polynomials.
This lesson module reviews addition and subtraction of polynomials, with special emphasis put on the need to combine like terms and maintain order of operations. Helpful hints, examples, and common mistakes to avoid are included, and related material is cross-referenced.
URL: http://www.purplemath.com/modules/polyadd.htm free
Audience: 9-10
Subject: Polynomials
Standard: 10.P.3
Strand: Patterns, Relations, and Algebra

Waner, S., & Costenoble, S. R. (1999). Using Matrices to Solve Systems of Equations.
Here students can use the interactive tutorial to reinforce their understanding of using matrices to solve systems of linear equations.
URL: http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorialsf1/frames2_2A.html free
Audience: 11-12, Teachers
Subjects: Matrices, Linear Equations
Standard: 12.P.9
Strand: Patterns, Relations, and Algebra

Whitcher, U. (1994-2001). Lines and Slopes: Chameleon Graphing.
URL: http://forum.swarthmore.edu/cgraph/cslope/ free
This Web unit helps students to graph lines, visualize slopes, and understand patterns and linear equations that describe lines.
Audience: 9-10, Teachers
Subjects: Lines, Slopes
Standard: 10.P.2
Strand: Patterns, Relations, and Algebra

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Math
Grades 9-12

Geometry Resources

Skip down to Web Sites

Print and Media

Coxeter, H. S. M., & Greitzer, S. L. (1967). Geometry revisited. Washington, D. C.: Mathematical Association of America. 193 p., ISBN 0883856190, $19.95
The authors provide a comprehensive selection of geometry topics and include many proofs and theorems. This book puts a positive spin on the whole study of geometry.
Audience: 9-12, Teachers
Subjects: Geometry, Modern
Standard:
Strand: Geometry

Mlodinow, L. (2001). Euclid’s window: The story of geometry from parallel lines to hyperspace. New York: Free Press. 306 p., ISBN 06848625238, $26.00
Told in an engaging, narrative style, this book traces the development and history of geometry from Euclid to the present and stresses the importance of geometry in our world. There are minibiographies and vignettes about important contributors, including Euclid, Descartes, Gauss, Einstein, and Witten. You do not have to be a geometry maven to understand, enjoy, and appreciate this volume.
Audience: 9-12, Teachers
Subjects: Geometry--History
Standard:
Strand: Geometry

Ontario Educational Communications Authority. (1991). Concepts in Mathematics: Vectors. [Videodisc]. (Available from Films for the Humanities and Sciences) FFH5065, 60 min.
This resource contains six ten-minute programs introducing vectors. Velocity and force are examined, as are practical applications of vectors and their operations.
Audience: 11-12, Teachers
Subjects: Vectors, Velocity, Force, Problem solving
Standard: 12.G.3
Strand: Geometry

Project Mathematics, California Institute of Technology. (1992). Sines and Cosines, Part I. [Video]. (Available from CalTech Bookstore) 20 min., $29.95 for video, $4.95 for workbook

In this computer-animated video, properties of the sine and cosine functions are presented. A variety of problems and practical applications are included. A workbook and program guide for teacher use is available.
Audience: 11-12, Teachers
Subjects: Sines, Cosines, Ratio, Periodic functions, Trigonometry
Standard: 12.G.1, 12.G.2; PC.P.3
Strand: Geometry; Patterns, Relations, and Algebra

Project Mathematics, California Institute of Technology. (1990). Similarity. [Video]. (Available from CalTech Bookstore) 28 min., $29.95 for video, $4.95 for workbook
This computer-animated video discusses the ratios of geometrical figures, their scaling factors, and their mathematical similarities. A variety of problems and practical applications are included. A workbook and program guide for teacher use is available.
Audience: 9-10, Teachers
Subjects: Similarity (Geometry), Scaling factor, Ratio and proportion
Standard: 10.G.2, 10.G.4, 10.G.9
Strand: Geometry

Project Mathematics, California Institute of Technology. (1988). The theorem of Pythagoras. [Video]. (Available from CalTech Bookstore) 22 min., $29.95 for video, $4.95 for workbook
This computer-animated video presents a number of proofs of the Pythagorean theorem. A variety of problems and practical applications are included. A workbook and program guide for teacher use is available.
Audience: 9-10, Teachers
Subjects: Pythagorean proposition
Standard: 10.G.5
Strand: Geometry

Math
Grades 9-12

Geometry Resources

Skip to Print and Media Resources

Web Sites

Education Development Center (2002). Problems with a Point—Math Problems: Map Coloring.
This site uses vertex-edge graphs to model and solve problems. Using a real-world context, the site helps students to visualize, understand, and solve the problems. Because Web pages with mathematics are frequently difficult to read, the site also provides a printable version (PDF).
URL: http://www2.edc.org/mathproblems/problems/htmlProblems/ekMapColor/ekMapColor.asp free
Audience: 9-10, Teachers
Subjects: Vertex-edge graphs, Problem solving, Real-world applications
Standard: 10.G.11
Strand: Geometry

Hart, G. W. (1996-200). Virtual Polyhedra: The Encyclopedia of Polyhedra.
This site provides access to a host of interactive images of three-dimensional polyhedra that can be moved and rotated by the viewer. There are also sections on polygons, lesson plans, and instructions for making paper models for study and for fun.
URL: http://www.georgehart.com/virtual-polyhedra/vp.html free
Audience: 9-10, Teachers
Subjects: Polygons, Polyhedra, Similarity (Geometry)
Standard: 10G.1, 10.G.10
Strand: Geometry

Mawata, C. P. (1997-2001). Math Cove: Teaching and Learning Mathematics with Java.
The high school geometry section of this site takes students through a number of triangle concepts, including measuring angles, types of angles, complementary and supplementary, the sum of the angles of a triangle, and the Pythagorean Theorem. Another section on transformations is excellent. Interactive applets help with understanding, and there are details on how to create applets for classroom use or to put on a Web page.
URL: http://www.utc.edu/~cpmawata/ free
Audience: 9-10, Teachers
Subjects: Geometry, Angles, Triangles, Similarity (Geometry), Congruence (Geometry), Pythagorean proposition, Transformations
Standard:10.G.1, 10.G.2, 10.G.4, 10.G.5, 10.G.6, 10.G.9
Strand: Geometry

University of Minnesota. (1994-1998). The Geometry Center.
Although the Geometry Center is now closed, the site still serves as a repository for materials and projects that the Center generated, as well as a support resource for math research and education. The site contains links to all types of geometry sites, interactive Web and Java applications, a geometry reference archive, and also allows the user to download many useful software programs that can be used by students and teachers.
URL: http://www.geom.umn.edu/ free
Audience: Teachers
Subjects: Geometry
Standard:
Strand: Geometry

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Math
Grades 9-12

Measurement Resources

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Print and Media

Blatner, D. (1997). The joy of ?. New York: Walker and Company. 128 p., ISBN 0802713327, $18.00
The author, while always maintaining a sense of humor, explores the history of Pi, its many facets, and mathematicians’ fascination with it throughout the centuries.
Pi-inspired jokes, cartoons, and other humor are also included, as well as Pi’s first million digits.
Audience: 9-10, Teachers
Subjects: Pi
Standard: 10.M.1
Strand: Measurement

Math
Grades 9-12

Measurement Resources

Skip to Print and Media Resources

Web Sites

Enevoldsen, K. Surface Areas and Volumes of Solids.
This site provides a helpful review, along with clear visuals and simple explanations.
URL: http://members.aol.com/keithenev/Area/AreaVol2.htm free
Audience: 9-10, Teachers
Subjects: Solid Geometry
Standard: 10.M.2, 10.M.3
Strand: Measurement