Visual Fractions Site Map
The Complete Visual Fractions Website
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 visual fraction 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. | |
Circle 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. |
VISUAL FRACTIONS ABOUT PAGE
VISUAL FRACTIONS PROGRESS PLAN
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.
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 |
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
|
||||||||||||||
Compare Fractions Designer
|
||||||||||||||
Add Fractions Designer
|
||||||||||||||
Subtract Fractions Designer
|
||||||||||||||
Multiply Fractions Designer
|
||||||||||||||
Divide Fractions Designer
|
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. |
VISUAL FRACTIONS WORKSHEETS
More Practice with Visual Fractions Worksheets
Worksheets with Adobe Reader |
Key Words and Suggested Instruction: |
Identify Fractions (8 worksheets) |
whole number, numerator, denominator, fraction bar |
Numerator and Denominator (5 worksheets) |
whole number, numerator, denominator, fraction bar |
Rename Fraction to Mixed (7 worksheets) |
fraction form, mixed form, improper |
Rename Mixed to Fraction (7 worksheets) |
fraction form, mixed form, improper |
Lines to Circles (5 worksheets) |
whole number, numerator, denominator, fraction bar |
Circles to Lines (5 worksheets) |
whole number, numerator, denominator, fraction bar |
Rename to Higher Terms (7 worksheets) |
higher terms, reduce, rename, renaming, identity, greatest common factor |
Rename to Lower Terms (8 worksheets) |
lowest terms, reduce, rename, renaming, identity, Common factor, greatest common factor |
Compare (9 worksheets) |
numerator, denominator, unlike denominator, common denominator, least common multiple |
Add (9 worksheets) |
first addend, second addend, sum |
Subtract (9 worksheets) |
minuend, subtrahend, difference |
Multiply (9 worksheets) |
factor, product, reciprocal, multiplicative inverse, identity, inverse |
Divide (9 worksheets) |
dividend, divisor, quotient |