6.RP.A.3 lessons
Use ratio and rate reasoning to solve real-world problems: tables of equivalent ratios and plotting pairs on a graph, unit rate problems including unit pricing and constant speed, percent of a quantity as a rate per 100 including finding the whole, and converting measurement units.
The Common Core State Standards for Mathematics code 6.RP.A.3 asks students to: “Use ratio and rate reasoning to solve real-world problems: tables of equivalent ratios and plotting pairs on a graph, unit rate problems including unit pricing and constant speed, percent of a quantity as a rate per 100 including finding the whole, and converting measurement units.” These Fieldbook lessons teach it hands-on, with everyday materials, a printable teacher guide and a student sheet.
Mix It, Pace It: Ratio, Rate and Percent Grades 6–7
- Why doesn't the big batch match? 50–60 min
Teams mix a green paint from 2 spoons of blue and 3 of yellow, then try to make a bigger batch that matches. Adding 2 more spoons of each gives a different green; doubling both gives a perfect match. Students explain ratios, equivalent ratios and ratio tables, and part-to-part and part-to-whole ratios.
- Who walks fastest? 50–60 min
Students time themselves walking 20 m and count their steps, then work out metres per second, steps per second and metres per step. The surprise: the walker who takes the most steps per second is often not the fastest. Students explain rates and unit rates, compare them, and convert metres per second to kilometres per hour.
- Which is the better deal? 45–60 min
Teams shop from printed store cards, working out the price of one notebook or one litre to find the real best buys, and discover that the bigger package isn't always cheaper and the bigger percent off doesn't always save more money. Students use unit prices, percent as a rate per 100, and find a part, a whole or a percent.
- Does twice the time mean twice the distance? 50–60 min
A walker moves at a steady pace while teammates mark where they are every 5 seconds, then the class graphs distance against time. A steady walker's points make a straight line through zero, but a walker with a head start doesn't. Students identify proportional relationships from tables and graphs, find the constant of proportionality and write it as an equation.
More Common Core standards for Grade 6
All standards we teach · Curriculum alignment by state and province
Three full lessons, free
Make a free account and download any three Fieldbook lessons as printable PDFs. No card needed.