Minilessons for Operations With Fractions, Decimals, and Percents: A Yearlong Resource

Minilessons for Operations with Fractions is a yearlong resource guide in Contexts for Learning Mathematics’ Investigating Fractions, Decimals, and Percents (4-6) Minilessons for Operations with Fractions, Decimals, and Percents is a resource of approximately 75 minilessons that you can choose from throughout the year. In contrast to investigations, which constitute the heart of the math workshop, the minilesson is more guided and more explicit, designed to be used at the start of math workshop and to last for ten to fifteen minutes. Each day, no matter what other materials you are using, you might choose a minilesson from this resource to help your students develop efficient computation. You can also use minilessons with small groups of students as you differentiate instruction. The minilessons in this guide were designed to be used in grades 5-6. Each minilesson is crafted as a tightly structured series, or ＂string,＂ of computation problems designed to encourage students to look to the numbers first, before they decide on a computation strategy. The strings are likely to generate discussion on certain strategies or big ideas underlying an understanding of operations with rational numbers. Although the emphasis is on the development of mental arithmetic strategies, this does not mean learners have to solve the problems in their heads-but it is important for them to do the problems with their heads! In other words, as you use this guide, encourage students to examine the numbers in each problem and think about clever, efficient ways to solve it. The relationships between the problems in the minilesson will support students as they progress through the string. Several models are employed that can be helpful for computation. Money and the clock enable students to work with landmark fractions easily. The double open number line allows for generalizable strategies such as the use of common denominators for addition and subtraction. The open array and the ratio table are used with multiplication and division throughout to represent student strategies. To learn more visit http: //www.contextsforlearning.com

Kara Louise Imm is a teacher educator who has worked closely with math teachers across grades K-12. A staff developer for Math in the City since 2003, she also works as a New Teacher Advisor for Math for America. Kara began her teaching career as a middle school math teacher (NYCDOE) and more recently, served as a faculty member at Pace University, School of Education. She has co-authored several articles for and with teachers, and is currently a doctoral student in Urban Education at the Graduate Center at the City University of New York (CUNY).

Cathy Fosnot is a leading voice in mathematics education. She is Professor Emerita of Education at the City College of New York and the founder of Mathematics in the City, a national center for professional development located at the college. In 2007 she established New Perspectives on Learning to devote her time to speaking around the world, fostering school change through professional learning and support, and producing new resources and materials. Watch Cathy talk about the importance of context in math. Follow Cathy on Twitter @ctfosnot