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Islam and Algebra 

The knowledge of solutions of equations found a home in the Islamic world. In the 9th century Arab mathematician al-Khwârizmî wrote one of the first systematic explanations of the basic theory of equations and included examples and proofs.

 

By the end of the 9th century, Egyptian mathematician Abu Kamil had stated and proved the basic laws and identities of algebra and had solved complicated problems such as finding x, y, and z such that x + y + z = 10, x2 + y2 = z2, and xz = y2.


By medieval times Islamic mathematicians were able to talk about arbitrarily high powers of the unknown variable x, and work out the basic algebra of polynomials (although they did not yet use modern symbolism). This included the ability to multiply, divide, and find square roots of polynomials as well as knowledge of the binomial theorem, which describes how to raise a binomial to an arbitrarily high power.

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You are here: TJ Home   >> Math >> Algebra

Algebra      

Algebra: The mathematics of generalized arithmetical operations

TJ Resources

Algebra terms - lesson and exercises

Mathematical operations - lesson and exercises

What is my sign? - poster to help remember if answer should be positive or negative

File Folder Games/Lapbook goodies

One Step Equations - Solve and Match (4 sets of activities)

Textbooks/

Free Beginning Algebra Textbook.

Kind of academic-y, I prefer the Skills in Algebra lessons below to this book, but might be great for reference if you find it not user friendly enough for textbook use.

 

Curriculum/Tutorials/Lessons

 

Algebra Curriculum/lessons

"Skill in Algebra." A complete course in algebra. Covers 39 topics, lessons include questions and problems with answers for students to check their work. We love this.

 

Purple Math

Nice collection of pre-algebra, algebra, and advanced algebra lessons.

 

Algebra I Curriculum Outline

Neat resource. Gives an outline of topics and subtopics of algebra and for each subtopic gives links to worksheets and tutorials.

 

Pre-Algebra Lessons

Free online pre- algebra course from Free-Ed.net. Includes online textbook.

 

Tutorials/Lessons by Topic

Simplifying Using the Foil Method Algebrahelp.com

 

Worksheets, by Topic

Equations

Basic Equations Worksheets
 

 

Exponents

 

Worksheets

Create exponent worksheets from SuperKids.com

Create exponent worksheets from The Canadian Teacher

Can do negative exponents as well.

Exponent worksheet from Math Goodies.cm

Nice varied worksheet which includes the problems worded as words and finding the exponent given the base number and product, finding the base number when given the exponent and product.

Set of 4 exponent worksheets - TJ

Exponents - write the expanded form and then solve - 1 worksheet - TJ

 

Quizzes:

Introduction to Exponents Quiz

 

Lessons, Introductions, Explanations, Tutorials, etc.

http://www.topmath.info/m5/Exponents.htm

Loads of links to exponent resources including worksheets, online demonstrations and tutorials.

 

Powers and Exponents

Brief lesson/introduction at Fact monster

 

Lesson on Exponents for Year/Grade 7

Part of an online textbook.

 

Radians

Radians
Radians and degrees. Converting radians and degrees.

 

Reciprocals

Worksheet: Find the reciprocal of whole numbers, fractions, and algebraic expressions. TJ Resource

 

 

 

Collections of worksheets

Free Algebra Worksheets from Kuta software

 

Free Algebra Worksheets from About.com (look for Algebra link)

 

Algebra Worksheets: Set 1
Polynomials, exponents, binomials, factoring, perfect square, functions and roots. Introduction to basic algebra. Factoring worksheets, polynomial worksheets.

 

Algebra Worksheets: Set 2
Matrix worksheets, completing the square worksheets, factoring, functions and roots, logarithms and their properties, matrix subtraction, rational root theorem, quadratic formula.

 

Algebra Worksheets: Set 3

Complex numbers worksheets, simplifying roots worksheets, function worksheets, x intercepts worksheets.

 

Algebra Worksheets and Algebraic Word Problems
An excellent selection of worksheets and word problems with solutions included. Do one per day to improve your understanding of Algebra.

Over 20 Topics in Algebra
Worksheets to help you with a variety of algebraic concepts.

Worksheets - Beginner and Advanced
A variety of worksheets with solutions and helpful hints. Suitable for High School and College. Both levels are addressed.

 

Worksheet Generators/Create Your Own Algebra Worksheets

APlus Math
A worksheet generator. Click the number of questions and print the worksheet. Great practice; no solutions provided.

Fundamentals of Algebra - Mathbuilder.com
Click the algebraic topic and then click on 'Create Worksheet Now'. If you want the solutions, enter your email address.

This Page Last Updated: Saturday, March 14, 2009 

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