a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

Title | Description | Thumbnail Image | Curriculum Topics |
---|---|---|---|

## Closed Captioned Video: Fractions: Multiplying Unit Fractions by Whole Numbers |
## Closed Captioned Video: Fractions: Multiplying Unit Fractions by Whole NumbersVideo Tutorial: Fractions: Multiplying Unit Fractions by Whole Numbers. In this video, students are shown how to multiply unit fractions by whole numbers. |
Fractions and Mixed Numbers | |

## Definition--Factors and Multiples--Area Models for Factors |
## Definition--Factors and Multiples--Area Models for FactorsThis is a collection of definitions related to factors and multiples. This includes general definitions for factors and multiples, as well as related terms around common factors and multiples, LCM, LCD, visual models, and applications of these concepts in other areas of math. |
Numerical Expressions | |

## Definition--Factors and Multiples--Common Factors |
## Definition--Factors and Multiples--Common FactorsThis is a collection of definitions related to factors and multiples. This includes general definitions for factors and multiples, as well as related terms around common factors and multiples, LCM, LCD, visual models, and applications of these concepts in other areas of math. |
Numerical Expressions | |

## Definition--Factors and Multiples--Common Multiples |
## Definition--Factors and Multiples--Common MultiplesThis is a collection of definitions related to factors and multiples. This includes general definitions for factors and multiples, as well as related terms around common factors and multiples, LCM, LCD, visual models, and applications of these concepts in other areas of math. |
Numerical Expressions | |

## Definition--Factors and Multiples--Divisor |
## This is a collection of definitions related to factors and multiples. |
Numerical Expressions | |

## Definition--Factors and Multiples--Factor Pairs |
## This is a collection of definitions related to factors and multiples. |
Numerical Expressions | |

## Definition--Factors and Multiples--Factor Tree |
## Definition--Factors and Multiples--Factor Tree |
Numerical Expressions | |

## Definition--Factors and Multiples--Factoring Algebraic Expressions |
## Definition--Factors and Multiples--Factoring Algebraic Expressions |
Numerical Expressions | |

## Definition--Factors and Multiples--Factors |
## Definition--Factors and Multiples--Factors |
Numerical Expressions | |

## Definition--Factors and Multiples--Greatest Common Factor (GCF) |
## Definition--Factors and Multiples--Greatest Common Factor (GCF) |
Numerical Expressions | |

## Definition--Factors and Multiples--LCM |
## Definition--Factors and Multiples--LCM |
Numerical Expressions | |

## Definition--Factors and Multiples--Multiple |
## Definition--Factors and Multiples--Multiple |
Numerical Expressions | |

## Definition--Factors and Multiples--Multiples of 10 |
## Definition--Factors and Multiples--Multiples of 10 |
Numerical Expressions | |

## Definition--Factors and Multiples--Multiples of Unit Fractions |
## Definition--Factors and Multiples--Multiples of Unit Fractions |
Numerical Expressions | |

## Definition--Factors and Multiples--Prime Factorization |
## Definition--Factors and Multiples--Prime Factorization |
Numerical Expressions | |

## Definition--Factors and Multiples--Prime Factors |
## Definition--Factors and Multiples--Prime Factors |
Numerical Expressions | |

## Definition--Factors and Multiples--Proper Factors |
## Definition--Factors and Multiples--Proper Factors |
Numerical Expressions | |

## Definition--Factors and Multiples--Simplifying Fractions Using Factoring |
## This is a collection of definitions related to factors and multiples. |
Numerical Expressions | |

## Definition--Factors and Multiples--Unknown Factors |
## This is a collection of definitions related to factors and multiples. |
Numerical Expressions | |

## Definition--Factors and Multiples--Using the LCM to Find a Common Denominator |
## Definition--Factors and Multiples--Using the LCM to Find a Common Denominator |
Numerical Expressions | |

## Definition--Factors and Multiples--Visual Models of Multiples |
## Definition--Factors and Multiples--Visual Models of Multiples |
Numerical Expressions | |

## INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using Number Lines |
## INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using Number LinesIn this tutorial students are shown how to use number lines to not only find equivalent fractions but also to write fractions in simplest form. |
Write Fractions in Lowest Terms | |

## INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using the GCF |
## INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using the GCFIn this tutorial students are shown how to find the GCF of the numerator and denominator and how to use it to simplify a fraction. Note: The download is a PDF version of this tutorial. |
Find Greatest Common Factors, Write Fractions in Lowest Terms | |

## Math Example--Fraction Properties--Decomposing Fractions: Example 1 |
## Math Example--Fraction Properties--Decomposing Fractions: Example 1This is part of a collection of math examples that explore different properties of fractions. This includes modeling fractions, simplifying fractions, and comparing them. |
Add and Subtract Fractions | |

## Math Example--Fraction Properties--Decomposing Fractions: Example 2 |
## Math Example--Fraction Properties--Decomposing Fractions: Example 2This is part of a collection of math examples that explore different properties of fractions. This includes modeling fractions, simplifying fractions, and comparing them. |
Add and Subtract Fractions |