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

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  • Formaat: 168 pages
  • Ilmumisaeg: 03-Sep-2021
  • Kirjastus: Prufrock Press
  • Keel: eng
  • ISBN-13: 9781000499810
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Advanced Common Core Math Explorations: Factors and Multiples (Grades 5-8)Suurem pilt
  • Formaat: 168 pages
  • Ilmumisaeg: 03-Sep-2021
  • Kirjastus: Prufrock Press
  • Keel: eng
  • ISBN-13: 9781000499810
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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 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

Arvustused

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

A Note to Students vii
Introduction 1(6)
Connections to the Common Core State Standards 7(4)
Exploration 1 Building Blocks
As students explore and extend complex patterns in a design of colored blocks, they discover the deeper significance of prime numbers
11(12)
Exploration 2 1000 Lockers
Students solve a classic problem based on factors and multiples by simulating the situation and looking for patterns
23(8)
Exploration 3 Factoring Large Numbers
Students develop strategies for factoring large numbers. They apply their knowledge to explore a famous theorem by Euclid
31(14)
Exploration 4 Factor Scramble
By assigning numbers to letters and words and then forming products, students learn how the factors of natural numbers are built from their prime factors
45(12)
Exploration 5 How Many Factors?
Students use pictures of prime factorizations to find all of the factors of a number and then develop an algebraic formula to count them
57(16)
Exploration 6 Differences and Greatest Common Factors
Students explore patterns connecting the difference of two numbers with their possible GCFs
73(14)
Exploration 7 A Measurement Dilemma
Students explore patterns involving greatest common factors when they solve a problem about measuring water using containers of various sizes
87(16)
Exploration 8 Paper Pool
Students connect number theory to ratio concepts as they use graph paper to follow the path of an imaginary pool ball
103(18)
Exploration 9 The GCF-LCM Connection
By creating factors and multiples from prime "building blocks," students discover a hidden connection between GCFs and LCMs
121(18)
Exploration 10 Mathematical Mystery Code
Students explore properties of exponents as they try to crack a baffling number code
139(16)
References 155(2)
About the Author 157(2)
Common Core State Standards Alignment 159
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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