Suitable for Grades: 6th Grade
CCSS: 6.RP.A.3
CCSS Description: 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. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Bar models are used throughout this worksheet as a tool for students to divide amounts into given ratios.
The worksheet asks students to use bar models in multiple ways including: when the ratio and one value is known, when the total is known, and when the difference is known.
In sections A and B, examples are provided for students to follow, and the bar models are already provided. In section C, learners are required to construct their bar models.
All divisions produce integer answers, allowing your students to focus on the differences in language between questions and where their bar models will provide the answers needed.