Advanced Common Core Math Explorations

Measurement & Polygons (Grades 5-8)

Jerry Burkhart

• Publisher: Routledge
• Year: 2021
• Print ISBN: 9781032143309
• eBook ISBN: 9781000492927
• Edition: 1
• Topic: Education
• Subtopic: Teaching Mathematics

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 create and manipulate geometric figures, draw and analyze complex designs, and develop and apply measurement strategies to solve challenging real-world and mathematical problems. Each activity comes with extensive 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

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• A Note to Students
• Introduction
• Connections to the Common Core State Standards
• Exploration 1: Polygon Perambulations Students look at polygons "from every angle" as they search for patterns and formulas hiding within
• Exploration 2: Impossible Polygons Students solve problems in which they create polygons that satisfy various sets of conditions. Many of them are quite challenging, and some are impossible!
• Exploration 3: Starstruck! Students create intriguing star-shaped designs and explore their properties
• Exploration 4: Geoboard Squares Students examine connections between area and algebra as they search for squares on geoboards. Watch out—there's more to this challenge than meets the eye!
• Exploration 5: Creating Area Formulas Students build a tower of mathematical knowledge on the foundation of one familiar area formula
• Exploration 6: A New Slant on Measurement Where does the famous a2 + b2 = c2 formula really come from? Students become Pythagorean explorers as they delve into the meanings behind the symbols
• Exploration 7: Ladders and Saws Students learn to recognize and make use of two basic structures—ladders and saws—to analyze angle relationships in complex geometrical drawings
• Exploration 8: Designing Nets Students create and test their own designs for pyramids and cones in order to learn about surface area and volume of three-dimensional figures
• Exploration 9: Measuring Oceans Students apply their knowledge of surface area and volume of spheres to solve open-ended questions about oceans on and beyond the Earth
• References
• About the Author
• Common Core State Standards Alignment