Ratios and Proportional Relationships

Understand ratio concepts and use ratio reasoning to solve problems.

3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

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Resource | Resource Type Grade Level | Rating |
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This interactive applet helps students estimate percents of a unit length using the familiar context of a computer download ribbon. On Start a red bar begins to move across the download bar. The user clicks Stop to approximate the given target percent and is given feedback. After practice with some common benchmarks, users choose their own download targets. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

This interactive applet for two players helps develop estimation skills. As in the game Connect Four, each player tries to connect four game pieces in a row (horizontally, vertically, or diagonally) before the opponent does. Players earn game pieces by estimating the answers to displayed problems according to the user-set tolerance for accuracy. Users may choose the type of problems (addition, multiplication, and/or percentage) and the difficulty level. The game may be played with no time limit, or with a limit set by the users. | Activity, Game, Interactive Media Grade Level: 3, 4, 5, 6+ | |

This searchable data bank includes nutritional information on fast food items in the form of Nutrition Facts labels required by law. The user can search for a restaurant chain, food category, an individual menu item, and sort by criteria such as calories, fat, sodium, fiber, etc. The Fast Food Facts Book is available for purchase. | Data Sets Grade Level: 5, 6+ | |

This Mother's Day themed set of word problems provides students with practice problem solving using ratios, algebraic thinking, operations with whole numbers, decimals, and percents, and more. The resource includes an answer key. | Assessment, Problem Set Grade Level: 4, 5, 6+ | |

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+ | |

Students can use this calculating applet to explore the relation between fractions, decimals, ratios, and percentages. When students enter any two out of the three numbers representing a fraction or percent (part, whole, percent), the applet calculates the third, shows pie chart and bar chart representations of the amount, and provides an equation showing the calculation. Applet instructions and teaching ideas are included in the links at the top of the page. | Activity 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+ |