• Summary
• Contents

Any way you slice it, fractions are foundational

Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Also included are tools for analyzing student work and providing timely, specific, and meaningful interventions within an RTI framework. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. Practical materials include: Reproducibles for diagnostic tests; Practice pages for exercises keyed to the diagnostic tests and error patterns; Pages for practicing alternative algorithms and estimation; Teacher resources for hands-on activities, game sheets and pieces, and more; Worksheets, answer keys, and online resources

Each main unit, along with the sections on academic research and “Big Ideas,” concludes with a set of teacher reflection questions for use in a professional development setting. Get ready, get set, and help your students tackle fractions with confidence!

A Look at the Academic Research: Intervention in the Mathematics Classroom

Resources for Multiplication/Division of Fractions and Mixed Numbers
Resources for multiplication/division of fractions and mixed numbers
 Resource Blackline Master(s) Teacher Suggestions Activity Lesson: It's in the Fold: Introduction to Multiplying Fractions 190–194 126–127 Estimating Products Using Benchmarks, Rounding, and Compatible Numbers 195 131 Activity Lesson: Probability of Successive Events 196–197 140–142 Activity Lesson: How Many Strips Will Fit? Introduction to Dividing Fractions 198–201 145 Instructional Game: Balance the Number Sentence! 202–205 149–150 Estimating Quotients Using Benchmarks, Rounding, and Compatible Numbers 206 150–151 Editor Error Search (×/÷) 207 154

Name _______ Date _______ Class _______

Materials
• four full sheets of paper for each student or group of students (for paper-folding)
• colored pencils

The goal of this activity is to discover a general rule for multiplying with fractions. To help focus on the products, do not simplify any answers. On this page, you use number lines ...

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