The lessons and materials available here come from a variety of sites and organizations. Some include offers for video or software, and some are lesson plans. Where the originals are Claris or Acrobat (PDF) documents, we have for the most part converted them to HTML, leaving a link back to the parent page from which you can download the formatted version.
A video that shows the relation between arithmetic and algebraic fractions, demonstrating how to reduce algebraic fractions by dividing out common fractions. Also discussed are addition, subtraction, multiplication, and division of algebraic fractions and how to solve equations involving algebraic fractions.
A site that explains continued fractions, giving history, theory, applications, and bibliography. (Designed for college undergraduates with an interest in math.)
... 10 different ways to solve a quadratic equation. An area of mathematics with applications to population increase, finding the square root of a number, chaos theory, and fractals. Sample problems from Chapter 8 (Solving Equations and Iteration) of Don Cohen's "Iteration to Infinite Sequences with 6 to 11 year-olds."
"Continued fractions are just another way of writing fractions. They have some interesting links with a jigsaw-puzzle problem of splitting a rectangle up into squares and also with one of the oldest algorithms known to mathematicians - Euclid's Algorithm for computing greatest common divisors (gcd)." Contents: A jigsaw puzzle: splitting rectangles into squares; The General form of a Continued Fraction; Continued Fractions and Euclid's GCD Algorithm; Continued Fractions for decimal fractions?; Solving Quadratics with Continued Fractions; References.
A series of ten videos that looks at factoring, order of operations, inverse operations, polynomials, equations, exponents, positive and negative numbers, and fractions. Individual titles include Inverse Operations, Order of Operations, Basic Properties, Positive and Negative Numbers, Using Positive Exponents, Polynomials and Equations, Factoring I, Factoring II, Fractions, and Words into Symbols.
Students use a formula containing complex fractions and large exponents to calculate a monthly car payment; use the order of operations while putting such a formula into a scientific calculator; and see a very practical use for complex fractions and large exponents.
This math review ("for people who have forgotten what they once knew about fractions") covers: Simple Fractions (Identification, Factoring Integers, Reducing Fractions, Multiplication, Division, Building Fractions, Addition, Subtraction, and Order of Operations); Complex Fractions; Compound Fractions; Decimals; and Percentage.
A lesson that uses a card game to review the "rules of divisibility" and the concept of the least common multiple (lowest common denominator) as
lity" associated with addition and subtraction of fractions.
Mathematics from a Pineapple: Infinite sequences, limit of a sequence, ratios, fractions,and decimals. Also Looking at a Regular Pentagon. Sample problems from Chapter 7 of Don Cohen's book, Calculus By and For Young People.
One of a series of self-paced, self-guided workbooks covering all topics from basic concepts to mixed numbers and written with secondary students in mind.
Fractions
The Math Forum is a research and educational enterprise of the Drexel School of Education.
Fractions and Algebra