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Identify Fractions

Program

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

Program

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

Program

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

Program

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

Program

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

Program

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

Program

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.

about Visual Fractions VISUAL FRACTIONS ABOUT PAGE

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

Progress 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™.

PDF Version

Powerpoint Version

Introducing

Investigate Identify Investigate Identify whole number, numerator, denominator, fraction bar
Investigate Mixed to Fraction Investigate Mixed to Fraction fraction form, mixed form
Investigate Fraction to Mixed Investigate Fraction to Mixed fraction form, mixed form
Investigate Rename Higher Investigate Rename Higher higher terms, identity
Investigate Rename Lower Investigate Rename Lower lower terms, lowest terms, identity
Investigate Compare Investigate Compare common denominator, least common denominator, like fractions, unlike fractions
Investigate Add Investigate Add addend, sum
Investigate Subtract Investigate Subtract minuend subtrahend, difference
Investigate Multiply Investigate Multiply factor, product, reciprocal, multiplicative inverse, identity, invert
Investigate Divide Investigate Divide 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

Program

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

Program

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

Program

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

Program

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

Program

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

Program

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

Program

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.

Program

Description

Find Grampy Use the numerator to find Grampy as he hides a fractional distance along a hedge.
Find Grampy-Strict Grammy will point to help you find Grampy who is hiding a fractional distance along a hedge. Answers must be in lowest terms.
Find Grammy Grampy uses two words to help you find Grammy who is hiding a fractional distance along a hedge.
Cookies for Grampy Addition, subtraction, and multiplication of fractions are used in this fraction game. Students build whole circles with fraction parts.
Egyptian Barley Cakes 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.
Ancient Egyptian 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.

PDF Version

DOCX Version

Key Words and Suggested Instruction:

Number Symbols (8 worksheets)

Number Symbols Answers

Number Symbols (8 worksheets)

Number Symbols Answers

whole number, numerator, denominator, fraction bar

Investigate Identify

Numerator and Denominator (5 worksheets)

Numerator and Denominator Answers

Numerator and Denominator (5 worksheets)

Numerator and Denominator Answers

whole number, numerator, denominator, fraction bar

Investigate Identify

Lines to Circles (5 worksheets)

Lines to Circles Answers

Lines to Circles (5 worksheets)

Lines to Circles Answers

whole number, numerator, denominator, fraction bar

Investigate Identify

Circles to Lines (5 worksheets)

Circles to Lines Answers

Circles to Lines (5 worksheets)

Circles to Lines Answers

whole number, numerator, denominator, fraction bar

Investigate Identify

Rename Fraction to Mixed 7 worksheets)

Rename Fraction to Mixed Answers

Rename Fraction to Mixed 7 worksheets)

Rename Fraction to Mixed Answers

fraction form, mixed form, improper

Investigate Fraction to Mixed

Rename Mixed to Fraction (7 worksheets)

Rename Mixed to Fraction Answers

Rename Mixed to Fraction (7 worksheets)

Rename Mixed to Fraction Answers

fraction form, mixed form, improper

Investigate Mixed to Fraction

Rename to Higher Terms (7 worksheets)

Rename to Higher Terms Answers

Rename to Higher Terms (7 worksheets)

Rename to Higher Terms Answers

higher terms, reduce, rename, renaming, identity, greatest common factor

Investigate Rename to Higher Terms

Rename to Lower Terms (8 worksheets)

Rename to Lower Terms Answers

Rename to Lower Terms (8 worksheets)

Rename to Lower Terms Answers

lowest terms, reduce, rename, renaming, identity, Common factor, greatest common factor

Investigate Rename to Lower Terms

Compare (9 worksheets)

Compare Answers

Compare (9 worksheets)

Compare Answers

numerator, denominator, unlike denominator, common denominator, least common multiple

Investigate Compare Fractions

Add (9 worksheets)

Add Answers

Add (9 worksheets)

Add Answers

first addend, second addend, sum

Investigate Add Fractions

Subtract (9 worksheets)

Subtract Answers

Subtract (9 worksheets)

Subtract Answers

minuend, subtrahend, difference

Investigate Subtract Fractions

Multiply (9 worksheets)

Multiply Answers

Multiply (9 worksheets)

Multiply Answers

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

Investigate Multiply Fractions

Divide (9 worksheets)

Divide Answers

Divide (9 worksheets)

Divide Answers

dividend, divisor, quotient

Investigate Divide Fractions