1st Edition
It's All Relative Key Ideas and Common Misconceptions about Ratio and Proportion, Grades 6-7
98 Pages
by
Routledge
98 Pages
by
Routledge
Also available as eBook on:
For years, students have been taught to cross multiply when presented with proportion problems. Few understood what they were doing or why they were doing it. Rarely were students invited to think about various representations to determine the relationship between the two ratios being compared. The ideas and activities in this guide will help you provide students with the conceptual understanding... Read more
Introduction; Representing Ratios; Squatters; Ratio Drama; Equal Values; Tape Diagrams; Double Number Lines; Comparing Ratios; Graphical Representations; Ratios and Decimals; A Round and a Round the Pie; Choose It! Unit and Scale Factors: What Is a Unit Rate? Different Unit Rates; Proportionality and Unit Rates; Area and Unit Rates; Scaling and Proportional Figures; Solving Problems on a Double Number Line; Animal Rates; How Big Are These Chairs? Proportional or Not? Why Cross Multiply? Summer Travels; Posing Problems; Percents: Converting Ratios to Percents; Finding Percents; Given a Part, Find the Whole; Taxes, Tips, and Commissions; Percent of Increase; Percent of Decrease; Math in the News; Working with Ratios and Percents
Biography
Anne Collins is the director of the mathematics program at Lesley University. She has been providing mathematics content professional development institutes and courses for teachers for the past fifteen years and recently served on the NCTM Board of Directors (2010–2013). Linda Dacey, professor of mathematics and education at Lesley University, works with preservice and in-service teachers, helping them to develop both their content knowledge and their practice. Her research focuses on problem solving, number sense, and strategies for differentiation.
