Fractions

Middle School Lessons & Materials for Teachers

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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.

For more on fractions, search or browse the fractions/decimals/percents pages in the Internet Mathematics Library.

Addition, Subtraction, Multiplication, Division of Fractions

Simple Fractions (S.O.S. MATHematics)
Covers Identification, Factoring Integers, Reducing Fractions, Multiplication, Division, Building Fractions, Addition, Subtraction, and Order of Operations.
Fraction Squares (Caniglia)
Students use a square diagram to subtract fractions with like and unlike denominators.
Fractions and Ratios (SAT Prep Lessons)
Find a common denominator; understand relative number of parts.
Fractions: Mult./Fractions/Mixed Numbers (Explorer)
To solve a series of problems that arise when they go into the pizza selling business, students learn how to multiply fractions. From a series of 18 videos of approximate 15 minutes viewing time.
Fractions Review (Triton College)
A review that covers the definition of a fraction, an important property, equality, reduction, addition, multiplication, and division.
Fraction Shapes (Lanius)
No matter what shape your fractions are in... a geometric approach.
Common Fractions (Junior Maths, S.M.A.R.D.)
From the Secondary Mathematics Assessment and Resource Database: Two approaches to dividing fractions.
Fractions in Everyday Life - Recipe (DeSpain-Lyon)
Assess students' working knowledge of fraction multiplication and division by having them prepare a recipe for brownies.
Multiplying Fractions (Millard)
A lesson that includes a worksheet and an interactive exploration of the concept of 3/5 using The Geometer's Sketchpad.
Nullo (Buckeye)
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.
Subtracting Mixed Numbers (Explorer)
Using a game show format, students learn how to subtract mixed numbers. From a series of 18 videos of approximate 15 minutes viewing time.

Fractions and Decimals

Fraction Conversion Bingo (Wales)
A lesson intended to reinforce previous math lessons involving the relationships among fractions, decimals, and percents - a culminating activity that follows a four-week unit on each number system.
Measuring Fractions & Decimals: Memory Aid (Hamilton)
An excerpt from Johnny and Margaret Hamilton's Math to Build On.

Equivalent Fractions and Fractions as parts of Wholes

Fraction games (Caniglia)
Games designed to help students see parts of the whole and equivalent fractions.
Search for Wholes (Caniglia)
Students add fractions with like and unlike denominators to find whole units.
The Fraction Store (Rand)
A site with 7 Java programs that provide instruction and practice in identifying and renaming fractions.

Fractions and Algebra

Fractions (Explorer)
A video that shows the relation between arithmetic and algebraic fractions, demonstrating how to reduce algebraic fractions by dividing out common fractions, and discussing addition, subtraction, multiplication, and division of algebraic fractions, and how to solve equations involving algebraic fractions.
Power of Algebra Series (Explorer)
A series of ten videos that looks at factoring, order of operations, inverse operations, polynomials, equations, exponents, positive and negative numbers, and fractions.

Practice and Review

Fractions of a Dollar (Taking Stock)
Students convert fractions used in stock quotes into dollar equivalents.
Fractions Review (Triton College)
A review that covers the definition of a fraction, an important property, equality, reduction, addition, multiplication, and division.
I've Got Your Number (Daniel)
A lesson that can be used to review any kind of mathematics material.
Learn Fractions with Cuisenaire Rods (Silha)
Pages that teach fractions using manipulatives: Taken in order, these lessons build on each other and reinforce basic knowledge of fractions. What are Cuisenaire Rods? Using Cuisenaire Rods to Name a Fraction; Identify the Numerator and Denominator; Least Common Denominator; Adding and Subtracting Fractions; Equivalent Fractions; Teacher Notes.
Make One (Buckeye)
A card game: review the four basic operations with fractions.
Math Jeopardy (Bennett)
A game that can be adapted to any subject to keep students actively involved in the learning process.
Mighty M&M Math (Judy Conklin)
Fun ways to learn about fractions and percentages using these favorite candies.
Nullo (Buckeye)
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.
Zero-In (Buckeye)
A card game using fractions: be the first player to lay down all cards in a book or books.

Fraction Reference Materials

Summary of Fractions (S.O.S. MATHematics)
An outstanding summary of rules that concern operations with fractions.
Eric's Treasure Trove of Mathematics (Eric Weisstein)
Select the letter "f" and look for "fraction" and "fractal."
Fibonacci Numbers, Pineapples, Sunflowers and The Golden Mean (Mathman)
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.
Key to Fractions (Key Curriculum Press)
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.
Measuring Fractions & Decimals: Memory Aid (Johnny Hamilton)
Double and halve measuring fractions; halve mixed numbers with an even or odd whole number. Excerpt from the book Math to Build On by Johnny and Margaret Hamilton (1993).
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Mara Landers

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