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About Visual fractions and how to best use the Visual Fractions web site.

Major Menu choices VISUAL FRACTIONS MAJOR MENU CHOICES

Please note that some programs have a FLASH version and an HTML5 version. All programs were origially written to run with browsers with a FLASH plug-in. Since many browsers today do not have the FLASH plug-in they were also written in javascript so that they will run on any device with an HTLM5 or higher browser.

Identify Fractions

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Description

Fractional parts of number line model are used to show the numerator and denominator.
Fractional parts of circle models are used to show the numerator and denominator.
Square and round cookies are used to demonstrate a fractional part of a group of objects
Number line models are used to show mixed numbers.
Circle models are used to show mixed numbers.
Common Core State Standards for MATHEMATICS Grade Three Use fractions along with visual fraction models to represent parts of a whole.
Common Core State Standards for MATHEMATICS Grade Three Solve problems that involve comparing fractions by using visualfraction models.

Rename Fractions

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Description

Number line models are used to demonstrate mixed numerals and fraction form numerals.
Circle models are used to demonstrate mixed numerals and fraction form numerals.
Number line models are used to picture renaming fractions to higher terms.
Circle models are used to picture renaming fractions to higher terms.
Number line models are used to picture renaming fractions to lowest terms.
Circle models are used to picture renaming fractions to lowest terms.
Circle models are used in an animation that demonstrates canceling.
Common Core State Standards for MATHEMATICS Grade Four Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models

Compare Fractions

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Description

Number line models are used for instruction and and practice in comparing fractions.
Circle models are used for instruction and and practice in comparing fractions.
Common Core State Standards for MATHEMATICS Grade Four Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Add Fractions

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Description

Number line models are used for instruction and practice in adding fractions.
Circle models are used for instruction and practice in adding fractions.
Number line models are used for instruction and practice in adding unlike fractions.
Circle models are used for instruction and practice in adding unlike fractions.
Number line models are used to show addition of fractions. Sums are to be written in lowest terms.
Circle models are used to show addition of fractions. Sums are to be written in lowest terms.
Common Core State Standards for MATHEMATICS Grade Four Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model.

Subtract Fractions

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Description

Number line models are used to demonstrate minuend, subtrahend, and difference.
Circle models are used to demonstrate minuend, subtrahend, and difference.
Number line models are used to demonstrate minuend, subtrahend, and difference. All differences must be written in lowest terms.
Circle models are used to demonstrate minuend, subtrahend, and difference. All differences must be written in lowest terms.

Multiply Fractions

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Description

A rectangular number line array is used to demonstrate multiplying fractions.
An array of circles is used to demonstrate multiplying fractions.>
A rectangular number line array is used to demonstrate multiplying fractions. Products are wrirtten in lowest terms.
A number line array is used to demonstrate multiplicative inverse.
Common Core State Standards for MATHEMATICS Grade Four a visual fraction model to represent 5/4 as the product 5 × (1/4)
Common Core State Standards for MATHEMATICS Grade Four use a visual fraction model to express 3 × (2/5) as 6 × (1/5)
Common Core State Standards for MATHEMATICS Grade Five use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation

Divide Fractions

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Description

Number lines models are used to show the dividend, divisor, and quotient to give instruction and practice in dividing fractions.
Circle models are used to show the divisor, dividend, and quotient to give instruction and practice in dividing fractions.
Number lines models are used for instruction and practice in dividing fractions. All answers are to be written in lowest terms.
Common Core State Standards for MATHEMATICS Grade Six create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient.
Common Core State Standards for MATHEMATICS Grade Six create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient.
     

Pregress Check List VISUAL FRACTIONS PROGRESS CHART

A Complete Study Guide

This study guide takes you through identifying, renaming, and operating on fractions using Visual Fractions modeling. Each of the topics include a pretest, instruction, on-line practice, worksheet practice, and a test.

A Study Guide Check List

A printable check list that will help you keep track of your progress as you work through these topics. You may keep this check list to show the work you have accomplished in this visual fractions modeling program.

Investigate VISUAL FRACTIONS INVESTIGATE

Investigate Important Fractions Concepts

Step-by-step explanations of many fractions topics. Each explanation is in PDF format using Adobe Reader™ or PPS format using Powerpoint Viewer™.

Title

PDF Version

Powerpoint Version

Introducing

Identify Demonstration
whole number, numerator, denominator, fraction bar
Mixed to Fraction
fraction form, mixed form
Fraction to Mixed
fraction form, mixed form
Rename Higher Demonstration
Investigate/renamehigheri.pdf higher terms, identity
Rename Lower Demonstration
lower terms, lowest terms, identity
Compare Fractions
common denominator, least common denominator, like fractions, unlike fractions
Addition Demonstration
addend, sum
Subtraction Demonstration
minuend subtrahend, difference
Multiplication Demonstration
factor, product, reciprocal, multiplicative inverse, identity, invert
Division Demonstration
dividend, divisor, quotient

Fractions Designer VISUAL FRACTIONS DESIGNER

Design Your Own Visual Examples

You may make number line or circle models of fractions and the operations on fractions. This is a good opportunity to see or to demonstrate fractions of your own choice.

Identify Fractions Designer

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Description

Input numerator and denominator to make your own fraction examples. All examples are modeled with number lines.
Input numerator and denominator to make your own fraction examples. All examples are modeled with circles.
Input numerator, and denominator to to see how a mixed number is formed. All examples are modeled with number lines.
Input numerator, and denominator to to see how a mixed number is formed. All examples are modeled with circles.
Input numerator and denominator to make a fractions of a group of objects.

Rename Fractions Designer

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Description

Input whole number, numerator, and denominator to make your fraction form(improper) fracton examples. All examples are modeled with number lines.
Input whole number, numerator, and denominator to make your fraction form(improper) fracton examples. All examples are modeled with circles.
Input numerator, denominator, and factor to make your rename to higher terms examples. All examples are modeled with number lines.
Input numerator, denominator, and factor to make your rename to higher terms examples. All examples are modeled with circles.
Input numerator, denominator, and multiplyier to make your rename to lower terms examples. All examples are modeled with number lines.
Input numerator, denominator, and multiplyier to make your rename to lower terms examples. All examples are modeled with circles.

Compare Fractions Designer

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Description

Input numerator, and denominator to make your own compare fractions examples. All examples are modeled with number lines.
Input numerator, and denominator to make your own compare fractions examples. All examples are modeled with circles.

Add Fractions Designer

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Description

Input addends to make your own addition of fractions examples. All examples are modeled with number lines.
Input addends to make your own addition of fractions examples. All examples are modeled with circles.

Subtract Fractions Designer

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Description

Input minuend and subtrahend to make your subtraction examples. All examples are modeled with number lines.
Input minuend and subtrahend to make your subtraction examples. All examples are modeled with circles.

Multiply Fractions Designer

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Description

Input factors to make your multiply fraction examples. All examples are modeled with a rectangular array.
Input factors to make your multiply fraction examples. All examples are modeled with an array of circles.
More suggestions for multiply fractions designer. See how you can demonstrate some important algebraic ideas.

Divide Fractions Designer

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Description

Input dividend and divisor to make your own divide fractions examples. All examples are modeled with number lines.
Input dividend and divisor to make your own divide fractions examples. All examples are modeled with circles.

Fractions Games VISUAL FRACTIONS GAMES

Have fun with Visual Fractions games

More practice with fractions while you play fractions games.

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Description

Use the numerator to find Grampy as he hides a fractional distance along a hedge.
Grammy will point to help you find Grampy who is hiding a fractional distance along a hedge. Answers must be in lowest terms.
Grampy uses two words to help you find Grammy who is hiding a fractional distance along a hedge.
Addition, subtraction, and multiplication of fractions are used in this fraction game. Students build whole circles with fraction parts.
Use unit fractions the Ancient Egyptian way to pay workers with barley cakes.
A decimal fractions game that finds decimal positions along a number line to thousandths.
Rearrange cookie pieces to make seven whole cookies.

Similar to Cookies for Grampy game but unit fractions are used.

Help feed a bee by moving a blossom along a circular dial. Addition and subtraction of fractions are demonstrated.
Weigh three objects using decimal weights.
Find decimal positions along a linear dial by weighing five different characters.
Find decimal positions along a linear dial by finding the total weight of five different characters.

Fractions Worksheets VISUAL FRACTIONS WORKSHEETS

Visual Fractions Worksheets

These worksheets use circle or number line models to show what fractions and operations on fractions really look like. Answer sheets are included.

Title

Practice With:

Numerator and Denominator

whole number, numerator, denominator, fraction bar, improper

Number Symbols

numerator, denominator, numeral

Line to Circle

numerator, denominator, number sense, identify fractions

Circle to Line

numerator, denominator, number sense, identify fractions

Rename Fraction to Mixed

whole number, numerator, denominator, mixed fractions, lines

Rename Mixed to Fractions

whole number, numerator, denominator, mixed fractions, circles

Rename to higher Terms

numerator, denominator, renaming, rename, identity, higher terms

Rename to Lower Terms

numerator, denominator, lowest terms, reduce, rename, renaming, lowest terms, identity, circle, greatest common factor

Compare

numerator, denominator, unlike denominator, common denominator, least common multiple, comparing, compare fractions, number line, circle

Add

first addend, second addend, sum

Subtract

minuend, subtrahend, difference

Multiply

factor, product, reciprocal, multiplicative inverse, identity, inverse

Divide

dividend, divisor, quotient