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E-raamat: Advanced Common Core Math Explorations: Numbers and Operations (Grades 5-8)

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  • Formaat: 192 pages
  • Ilmumisaeg: 03-Sep-2021
  • Kirjastus: Prufrock Press
  • Keel: eng
  • ISBN-13: 9781000492996
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Advanced Common Core Math Explorations: Numbers and Operations (Grades 5-8)Suurem pilt
  • Formaat: 192 pages
  • Ilmumisaeg: 03-Sep-2021
  • Kirjastus: Prufrock Press
  • Keel: eng
  • ISBN-13: 9781000492996
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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 investigate the numeration systems of creatures from another planet, create and solve stories and problems with extreme numbers, use place value to design their own new divisibility strategies, and play with a strange kind of number line specially designed to multiply numbers without a calculator. 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

Arvustused

Advanced Common Core Math Explorations: Numbers & Operations by Jerry Burkhart contains a nice variety of explorations that focus on helping students improve their understanding of numbers and operations. The explorations are in the text, with each one beginning with an Introduction, followed by Student Handout pages, and then a Teacher's Guide . . The Teacher's Guide is very useful, since it provides not only solutions, but also many teacher notes and suggested questions to ask that encourage class discussion . . . The connections to the Common Core's math standards make this book a valuable resource for mathematics teacher educators, middle school teachers, and preservice teachers.,Carol J. Bell,Northern Michigan University, 4/27/16

A Note to Students vii
Introduction 1(6)
Connections to the Common Core State Standards 7(4)
Exploration 1 Triangle Sums
11(12)
Students learn about the process of mathematical exploration by solving a problem of equalizing sums along the sides of a triangle
Exploration 2 Torran Math
23(18)
Students investigate the mysterious numeration system used on the planet Torr, whose inhabitants have only two fingers on each hand!
Exploration 3 Number Line Magnifiers
41(14)
Students take a close-up look at comparing, rounding, and operating on decimals when they turn a "microscope" on the number line
Exploration 4 Million, Billion, Trillion
55(16)
One million, one billion, and one trillion are large numbers---but how large? Students learn about place value and scientific notation as they explore this question
Exploration 5 Discovering Divisibility Tests
71(14)
By using place value to analyze divisibility tests, students learn what makes them work, and even how to create their own tests!
Exploration 6 Visualizing Decimal Multiplication
85(18)
Most of us learn one way to multiply decimals, but when students visualize what is really happening, they can understand and even create many different methods
Exploration 7 Think Like a Torran!
103(16)
Students return to the planet Torr and learn how the Torrans use their version of place value to perform calculations. They even explore the Torran version of decimals!
Exploration 8 Extreme Calculations
119(18)
Students expand their understanding of scientific notation as they create stories and carry out calculations on "extreme" numbers
Exploration 9 Multiplication Slide Rules
137(20)
Students play with strange number scales in which multiplication turns into addition. They discover unexpected connections to place value and powers of 10
Exploration 10 Factor Blocks and Radicals
157(14)
Students use prime number blocks to explore squares and square roots. They use their new knowledge to write mathematical expressions in creative new ways
Appendix: The Building Blocks Model 171(2)
References 173(2)
About the Author 175(2)
Common Core State Standards Alignment 177
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...
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