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.

Showing 1-9 of 9 results | Sort by: |

Resource | Resource Type Grade Level | Rating |
---|---|---|

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 series of brief videos (1-10 min. each) demonstrates how a three-part lesson in a classroom focused on accountable talk empowers and engages students to learn through collaborative problem solving in a technology-rich environment. While solving a problem involving rates and proportional reasoning students exemplify shared criteria for successful group work. The teacher explains her strategies for planning, grouping, and peer evaluation. Print resources (pdf) include a Viewer's Guide, organizers, and supporting monographs. | Instructional Strategy, Lesson Plans, Video Grade Level: 4, 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+ | |

This brief article describes some methods of indirect measurement that have been applied throughout history to the problem of estimating the height of tall trees. Several methods involving scaling, angles, ratios, and tools are discussed. | Activity, Reference Materials, Article Grade Level: 5, 6+ | |

This problem from the Figure This! collection of NCTM asks the student to make measurements and consider proportion and scaling to estimate the length of the Statue's nose, given the length of her arm. The activity includes links to a hint, the solution, related math questions, and additional resources. | Activity 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+ | |

In this iOS app students help design the questions and then respond with their estimated answer by moving the indicator arrow to the correct location on the numberline or duplicating the items shown. Estimates are then compared to actual answers on a numberline and scored based on accuracy. There is a button called "Really?!" which will take the user to the internet to find out more about the questions that they have answered. Students can play alone or use the pass and play feature with classmates. | Game, Mobile App Grade Level: 4, 5, 6+ | |

In this game, students navigate a maze to get to a math challenge. The three challenges are: move blue and green "fuel cells" around to match the ratios in the given containers; measure shapes to determine the scale factors needed to make them match the given templates; determine how to place bases on a map based on clues involving proportions. | Game Grade Level: 5, 6+ | |

In this game, students navigate a maze to get to a math challenge. The three challenges are: move blue and green "fuel cells" around to match the ratios in the given containers; measure shapes to determine the scale factors needed to make them match the given templates; determine how to place bases on a map based on clues involving proportions. This is the larger-screen-size version of the game. | Game Grade Level: 5, 6+ |