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. 
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 
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. 
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. 
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. 
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 
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. 
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 
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

Program 
Description 
Find Grampy  Use the numerator to find Grampy as he hides a fractional distance along a hedge. 
Find GrampyStrict  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. 
PDF Version 
DOCX Version 
Key Words and Suggested Instruction: 
Number Symbols (8 worksheets) 
Number Symbols (8 worksheets) 
whole number, numerator, denominator, fraction bar 
Numerator and Denominator (5 worksheets) 
Numerator and Denominator (5 worksheets) 
whole number, numerator, denominator, fraction bar 
Rename Fraction to Mixed 7 worksheets) 
Rename Fraction to Mixed 7 worksheets) 
fraction form, mixed form, improper 
Rename Mixed to Fraction (7 worksheets) 
Rename Mixed to Fraction (7 worksheets) 
fraction form, mixed form, improper 
Lines to Circles (5 worksheets) 
Lines to Circles (5 worksheets) 
whole number, numerator, denominator, fraction bar 
Circles to Lines (5 worksheets) 
Circles to Lines (5 worksheets) 
whole number, numerator, denominator, fraction bar 
Rename to Higher Terms (7 worksheets) 
Rename to Higher Terms (7 worksheets) 
higher terms, reduce, rename, renaming, identity, greatest common factor 
Rename to Lower Terms (8 worksheets) 
Rename to Lower Terms (8 worksheets) 
lowest terms, reduce, rename, renaming, identity, Common factor, greatest common factor 
Compare (9 worksheets) 
Compare (9 worksheets) 
numerator, denominator, unlike denominator, common denominator, least common multiple 
Add (9 worksheets) 
Add (9 worksheets) 
first addend, second addend, sum 
Subtract (9 worksheets) 
Subtract (9 worksheets) 
minuend, subtrahend, difference 
Multiply (9 worksheets) 
Multiply (9 worksheets) 
factor, product, reciprocal, multiplicative inverse, identity, inverse 
Divide (9 worksheets) 
Divide (9 worksheets) 
dividend, divisor, quotient 