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E-grāmata: Advanced Common Core Math Explorations: Ratios, Proportions, and Similarity (Grades 5-8) [Taylor & Francis e-book]

  • Taylor & Francis e-book
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Burkhart, a math teacher who works with gifted students and provides professional development, offers advanced Common Core math explorations for students in grades five through eight that focus on students doing the thinking. He presents a teacher's guide that includes teaching and motivation strategies, ideas for developing mathematical communication skills, suggestions for managing classroom conversation, and examples of implementing the explorations in different settings, then explorations related to ratios, proportions, and similarity, with description of what students should know and what they will learn, lists of observations and questions to support conversation, samples of multiple thinking strategies, and examples of classroom discussions, as well as an assessment tool and a table of connections to the Common Core State Standards for Mathematical Practice. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)

Stretch your students' mathematical imaginations to their limits as they solve challenging real-world and mathematical problems that extend concepts from the Common Core State Standards for Mathematics in Advanced Common Core Math Explorations: Ratios, Proportions, and Similarity. Model the solar system, count the fish in a lake, choose the best gear for a bike ride, solve a middle school's overcrowding problem, and explore the mysteries of Fibonacci numbers and the golden ratio. Each activity comes with extensive teacher support including student handouts, discussion guides, detailed solutions, and suggestions for extending the investigations. 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.
Preface vii
A Note to Students ix
A Note to Teachers xi
Introduction 1(2)
Connections to the Common Core State Standards 3(4)
Teachers Guide 7(12)
Exploration 1 The Incredible Shrinking Universe
19(22)
Exploration 2 Ramps, Paints, and Hot Air Balloons
41(30)
Exploration 3 Gear Up!
71(18)
Exploration 4 Perplexing Percentages
89(36)
Exploration 5 Scaling a Tower
125(20)
Exploration 6 Keep It in Proportion
145(22)
Exploration 7 Grab Bag
167(24)
Exploration 8 Expanding and Contracting
191(32)
Exploration 9 Pythagorean Connections
223(14)
Exploration 10 Twist and Shrink
237(16)
References 253(2)
About the Author 255(2)
Common Core State Standards Alignment 257
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...