Suitable for Grades: 6th Grade, 7th Grade
CCSS: 6.RP.A.3.A, 7.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. 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.
Use proportional relationships to solve multistep ratio and percent problems, including simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, and percent error.
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 is decreased 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.