1st Edition

Advanced Common Core Math Explorations
Factors and Multiples (Grades 5-8)

ISBN 9781618212610
Published September 30, 2014 by Routledge
176 Pages

USD $34.95

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Book Description

Students become mathematical adventurers in these challenging and engaging activities designed to deepen and extend their understanding of concepts from the Common Core State Standards in Mathematics. The investigations in this book stretch students' mathematical imaginations to their limits as they explore mystifying patterns of colored blocks, analyze paths of pool balls, solve mathematical word puzzles, and unravel a baffling mathematical code. Each activity comes with detailed support for classroom implementation including learning goals, discussion guides, detailed solutions, and suggestions for extending the investigation. There is also a free supplemental e-book offering strategies for motivation, assessment, parent communication, and suggestions for using the materials in different learning environments.

Grades 5-8

Table of Contents

A Note to Students Introduction Connections to the Common Core State Standards Exploration 1: Building Blocks Exploration 2: 1000 Lockers Exploration 3: Factoring Large Numbers Exploration 4: Factor Scramble Exploration 5: How Many Factors?. Exploration 6: Differences and Greatest Common Factors Exploration 7: A Measurement Dilemma Exploration 8: Paper Pool Exploration 9: The GCF-LCM Connection Exploration 10: Mathematical Mystery Code References About the Author Common Core State Standards Alignment

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Jerry Burkhart has been teaching and learning math with gifted students in Minnesota for nearly 20 years. He has degrees in physics, mathematics, and math education. He provides professional development for teachers and is a regular presenter at conferences around topics of meeting the needs of gifted students in mathematics...


Students who have experience with tough puzzles like those in Factors and Multiples will get excited when making prior connections. Students may not only develop a feeling of accomplishment but also become leaders by helping their peers understand the material.

As students struggle through the factors of numbers, they will come across patterns, make predictions through the patterns, and finally test them. The explorations and puzzles ask students to work forward and backward. Different ways of thinking, diagraming, and finding answers will help the students master factoring at an incredibly high level.,Wanda J Milliman,Westgate High School, 2/2/16