Table of Contents

1. Understanding Ratio, Rates, and Proportions; 2. Deepening Understanding of Ratio and Proportion Concepts; 3.Understanding the OGAP Proportionality Framework and Progression; 4. Using the OGAP Ratio and Proportion Progression to Inform Instruction and Student Learning; 5. Structures in Proportion Problems; 6. Structures in Ratio and Rate Problems; 7. More Problem Contexts; 8. Understanding the Cross Products Procedure; 9.Percents-Building Understanding, Flexibility and Fluency;

About the Author

Marjorie M. Petit is an educational consultant in mathematics instruction and assessment and a co-director of OGAPMath LLC.

Robert E. Laird is Co-Director of Teaching, Learning and Research with the Vermont Mathematics Initiative (VMI), a co-director of OGAPMath LLC, and a member of the OGAP National Professional Development Team.

Matthew F. Wyneken is an associate professor of mathematics education at the University of Michigan-Flint.

Frances R. Huntoon is an educational consultant in mathematics instruction and a member of the OGAP National Professional Development Team.

Mary D. Abele-Austin is a middle school math coach and a member of the OGAP National Professional Development Team.

Jean D. Sequeira is a middle school math interventionist and a member of the OGAP National Professional Development Team.