Ratios and Proportional Relationships

Understand ratio concepts and use ratio reasoning to solve problems.

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Resource | Resource Type Grade Level | Rating |
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This tutorial provides students with experience using three types of distance scales on regional maps of North America. An introduction shows how to make use of the bar scale, the statement of equivalence, and the representative fraction (ratio) to determine distance between two locations. Printable instructions and two sets of interactive exercises are provided. | Activity, Interactive Media, Tutorial Grade Level: 5, 6+ | |

This interactive lesson helps students connect time and longitude on a globe. Learners use the time discrepancy between their location and Greenwich, England, and a conversion factor to determine their longitude. Several exercises of varying difficulty and precision are provided. The historic background and vocabulary definitions of this topic are provided. | Activity, Interactive Media, Lesson Plans Grade Level: 5, 6+ | |

In this interactive game, students use their knowledge of multiplication, division, factors, ratios, and proportions in order to determine the correct amounts of each food to be fed to the monsters. The game allows players to play at the beginning level which provides twenty-four tries to fill in twenty portions of food, with four portions given to start. The monsters give hints if an incorrect portion is given. Students may play additional levels of this game at the Lure of the Labyrinth site to which users are directed at the end of the round. | Game Grade Level: 5, 6+ | |

This iOS app includes five short math videos used to illustrate numbers on a number line, rate, ratio, and proportion. Each video is accompanied by a Learner's Guide, Comic Book Transcript, and a Teacher's Guide all in PDF format. | Lesson Plans, Mobile App, Video Grade Level: 5, 6+ | |

In this 8-page article (PDF) Kastberg and Frye explain how sociomathematical norms can improve students' mathematical proficiency. The article focuses on a 6th grade class working through a ratio comparison problem. In this classroom students had been encouraged to question and challenge their own solutions as well as peer's solutions, leading to deeper mathematical understanding through valuing the differences in problem solving and reasoning. | Reference Materials, Article Grade Level: 3, 4, 5, 6+ Resource is part of a PD collection | |

This problem provides an opportunity for students to reason about ratio and proportion in the realistic context of mixing a fruit drink from concentrate. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, and links to related problems (Blackcurrantiest is cataloged separately). | Activity Grade Level: 4, 5, 6+ | |

This lesson provides an opportunity for students to develop concepts and skills with fractions, decimals, and percentages in the context of shooting baskets. Students take turns tossing a ball into a wastebasket a number of times determined by a random card draw, while other students keep track of the number of shots made. The class processes the data by creating fractions and converting them into decimals and percentages, and then uses them to analyze and interpret the results. | Activity, Lesson Plans Grade Level: 4, 5, 6+ | |

This 88-page document addresses the meaning of the Common Core State Standards for teaching fractions in grades 3-7. For each grade level the specific standards that are addressed are listed, followed by a detailed explanation of what the standards mean, including visual models, and any misconceptions teachers or students might have about how specific standards apply to fractions in the CCSS. | Instructional Strategy, Reference Materials, Article Grade Level: 3, 4, 5, 6+ | |

Villainy, Inc. is a website devoted to helping upper elementary grade students build and use problem-solving skills to solve unique and complex mathematical problems. Students become undercover agents working to thwart the evil Dr. Wick, ID and his often-zany schemes to take over the world. Student activities include finding areas of rectangles, calculating with decimals and percents, finding averages, estimating and comparing whole numbers and decimals, all presented in the context of an animated and interactive cartoon story. Students complete one or both of the missions online. Teachers editions for each mission are provided, as well as additional tips, answer keys, printable worksheets and connections to standards. Note that it is not possible to save work online. | Activity, Interactive Media, Video Grade Level: 4, 5, 6+ | |

This article provides definitions, explanations and calculations that go into the Nutrition Facts labels mandated by federal law in 1990. These labels contain information such as serving size, ingredients, and a breakdown of calories. The article uses a sample food label and provides the conversions of calories per gram and shows pie charts of the components. Finally, there is a glossary of terms and their quantitative definitions. | Reference Materials, Article Grade Level: 5, 6+ |