Common Core State Standards for Mathematics

Grade(s) 6 resources related to the following standard:
Ratios and Proportional Relationships
Understand ratio concepts and use ratio reasoning to solve problems.
2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ? 0, and use rate language in the context of a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid \$75 for 15 hamburgers, which is a rate of \$5 per hamburger."

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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
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
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
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
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
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