a. Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

b. Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1.

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

## Closed Captioned Video: Fractions: Dividing Two Fractions |
## Closed Captioned Video: Fractions: Dividing Two FractionsVideo Tutorial: Fractions: Dividing Two Fractions. In this video students are shown how to divide two fractions. |
Fractions and Mixed Numbers | |

## Closed Captioned Video: Ratios and Proportions: Scale Drawings |
## Closed Captioned Video: Ratios and Proportions: Scale DrawingsVideo Tutorial: Ratios and Proportions: Scale Drawings. In this video, we look at the properties of similar figures and use proportions to find lengths of corresponding sides. |
Ratios and Rates | |

## INSTRUCTIONAL RESOURCE: Activity Guide: Building a Scale Model of Himeji Castle |
This hands-on activity is a companion to the video segment from the Geometry Applications: Angles and Planes video. In particular, it supports the segment on the architecture of Himeji Castle. |
Applications of Angles and Planes, Applications of Transformations, Proportions | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 1 |
## Math Example--Fraction Properties--Comparing Fraction Products: 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. |
Fractions and Mixed Numbers | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 2 |
## Math Example--Fraction Properties--Comparing Fraction Products: 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. |
Fractions and Mixed Numbers | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 3 |
## Math Example--Fraction Properties--Comparing Fraction Products: Example 3This is part of a collection of math examples that explore different properties of fractions. This includes modeling fractions, simplifying fractions, and comparing them. |
Fractions and Mixed Numbers | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 4 |
## Math Example--Fraction Properties--Comparing Fraction Products: Example 4 |
Fractions and Mixed Numbers | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 5 |
## Math Example--Fraction Properties--Comparing Fraction Products: Example 5 |
Fractions and Mixed Numbers | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 6 |
## Math Example--Fraction Properties--Comparing Fraction Products: Example 6 |
Fractions and Mixed Numbers | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 7 |
## Math Example--Fraction Properties--Comparing Fraction Products: Example 7 |
Fractions and Mixed Numbers | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 8 |
## Math Example--Fraction Properties--Comparing Fraction Products: Example 8 |
Fractions and Mixed Numbers | |

## Math Example--Fraction Properties--Comparing Fraction Products: Example 9 |
## Math Example--Fraction Properties--Comparing Fraction Products: Example 9 |
Fractions and Mixed Numbers | |

## Video Transcript: Fractions: Dividing Two Fractions |
## Video Transcript: Fractions: Dividing Two FractionsThis is the transcript that goes with the video segment entitled Video: Fractions: Dividing Two Fractions. |
Fractions and Mixed Numbers | |

## Video Transcript: Ratios and Proportions: Scale Drawings |
## Video Transcript: Ratios and Proportions: Scale DrawingsThis is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Proportions: Scale Drawings. |
Ratios and Rates | |

## Video Tutorial: Fractions, Video 18 |
## Video Tutorial: Fractions: Dividing Two FractionsThis is part of a collection of video tutorials on the topic of Fractions. This includes defining fractions, fraction operations, equivalent fractions, comparing and ordering fractions, and applications of fractions. |
Fractions and Mixed Numbers | |

## Video Tutorial: Ratios, Video 12 |
## Video Tutorial: Ratios and Proportions: Scale DrawingsThis is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. |
Ratios and Rates | |

## Worksheet: The Language of Math--Fractions, Worksheet 1 |
## Worksheet: The Language of Math--Fractions, Worksheet 1This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. |
Fractions and Mixed Numbers | |

## Worksheet: The Language of Math--Fractions, Worksheet 2 |
## Worksheet: The Language of Math--Fractions, Worksheet 2This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. |
Fractions and Mixed Numbers | |

## Worksheet: The Language of Math--Fractions, Worksheet 3 |
## Worksheet: The Language of Math--Fractions, Worksheet 3This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. |
Fractions and Mixed Numbers | |

## Worksheet: The Language of Math--Fractions, Worksheet 4 |
## Worksheet: The Language of Math--Fractions, Worksheet 4 |
Fractions and Mixed Numbers | |

## Worksheet: The Language of Math--Fractions, Worksheet 5 |
## Worksheet: The Language of Math--Fractions, Worksheet 5 |
Fractions and Mixed Numbers |