
It's All Relative
Key Ideas and Common Misconceptions about Ratio and Proportion, Grades 6-7
Stenhouse Publishers
1st Edition
Published on 11. March 2014
Book
Paperback/Softback
98 pages
978-1-57110-982-8 (ISBN)
Description
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 of ratios and proportional thinking that is essential for solving real-world problems and achieving success in higher-level mathematics.
It's All Relative includes thirty modules, which are aligned to specific Common Core State Standards. Each module in this accessible, spiral-bound flipchart addresses specific mathematical practices and common misconceptions; features timely classroom examples; includes proven, ready-to-use activities; and provides ideas for adapting activities to meet the needs of individual learners. The authors particularly emphasize how to use visual models-tables, tape diagrams, graphs, and double number lines-to represent ratios and proportional thinking. These visual models, which may be new to many teachers, enhance students' conceptual understanding and improve their ability to solve a wide range of proportional reasoning problems.
It's All Relative includes thirty modules, which are aligned to specific Common Core State Standards. Each module in this accessible, spiral-bound flipchart addresses specific mathematical practices and common misconceptions; features timely classroom examples; includes proven, ready-to-use activities; and provides ideas for adapting activities to meet the needs of individual learners. The authors particularly emphasize how to use visual models-tables, tape diagrams, graphs, and double number lines-to represent ratios and proportional thinking. These visual models, which may be new to many teachers, enhance students' conceptual understanding and improve their ability to solve a wide range of proportional reasoning problems.
More details
Language
English
Place of publication
Oxford
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Professional and scholarly
Academic and Postgraduate
Dimensions
Height: 280 mm
Width: 216 mm
Weight
331 gr
ISBN-13
978-1-57110-982-8 (9781571109828)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Anne Collins | Linda Dacey
It's All Relative
Key Ideas and Common Misconceptions about Ratio and Proportion, Grades 6-7
E-Book
11/2024
1st Edition
Routledge
€36.99
Available for download

Anne Collins | Linda Dacey
It's All Relative
Key Ideas and Common Misconceptions about Ratio and Proportion, Grades 6-7
E-Book
11/2024
1st Edition
Routledge
€36.99
Available for download
Persons
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.
Content
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