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Ratio - Using Bar Models (B) WORKSHEET
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.
Ratio - Using Bar Models (B) WORKSHEET DESCRIPTION
Bar models are used throughout this worksheet as a tool for students to divide amounts into given ratios.
The worksheet is scaffolded by including drawn bar models for sections A to D. The scaffolding decreases as labels are removed, and students have to label more of the bar models themselves.
In section B, learners will be dividing amounts into given ratios. Section C asks students to use one known amount to find the second amount, and in section D, the difference is known. Finally, section E is made up of three questions, and students must use an appropriate method to solve each one, including constructing their own bar models.
