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.
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Jerry Burkhart has taught and learned mathematics with gifted students for over 20 years. He has degrees in physics, mathematics, and math education from University of Colorado, Boulder, and Minnesota State University, Mankato. Jerry also speaks, consults, and offers professional development on meeting gifted students' needs in mathematics.
The book provides step-by-step teacher guidance on how to support students for the deepest understanding. Each of the 10 chapters is an exploration of a real-world problem that is subdivided into three stages with multiple problems per stage. Students will tackle real-world problems, such as determining the size of bicycle gears, estimating the height of a transmission tower, and calculating distances among planets. The book comes with detailed teacher goals, recommendations on how to present the explorations, question prompts to guide students without telling them what to do, and multiple detailed approaches for each problem so students can improve their flexible problem solving skills. --Mindprint Learning
[A] great resource for teachers of accelerated middle school students. . . Because of the adaptability of the problems, this book would be useful for a variety of grade levels, from fifth through eighth. It contains a treasure trove of rich tasks to engage top students. --Kit Golan, Mathematics Teaching in Middle School
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