Your User’s Guide to the Mathematics Standards
When it comes to mathematics, standards aligned is achievement aligned…
In the short time since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips.
Page by page, the authors lay out the pieces of an in-depth explanation, including
- The mathematical progression of each conceptual category, starting with modeling as a unifying theme, and moving through number & quantity, algebra, functions, geometry, and statistics and probability, building from the 8th grade standards
- The mathematics embedded in each conceptual category for a deeper understanding of the content
- How standards connect within and across domains, and to previous grade standards, so teachers can better appreciate how they relate
- How standards connect with the standards for mathematical practice, with a focus on modeling as a unifying theme
- Example tasks, progressions of tasks, and descriptions of what teachers and students should be doing to foster deep learning
The Common Core Mathematics Companion: The Standards Decoded, High School has what every high school teacher needs to provide students with the foundation for the concepts and skills they will be expected to know .
สารบัญ
Acknowledgments
Letter to High School Mathematics Teachers
Letter to High School Principals
Introduction
A Brief History of the Common Core
The Common Core State Standards for Mathematics
Instructional Shifts
Major Work of High School
Common Core Word Wall
The Common Core Standards for Mathematical Practice
Effective Teaching Practices
How to Use This Book
Reflection Questions
1. Modeling
Conceptual Category Overview
Sample Unit Planning Page
Reflection Questions: Modeling
2. Number and Quantity
Conceptual Category Overview
Suggested Materials
Number and Quantity – Overarching Key Vocabulary
Domain: The Real Number System (N.RN)
Domain: Quantities (N.Q)
Domain: The Complex Number System (N.CN)
Domain: Vector & Matrix Quantities
3. Algebra
Conceptual Category Overview
Suggested Materials
Algebra – Overarching Key Vocabulary
Domain: Seeing Structure in Expressions (A.SSE)
Domain: Arithmetic with Polynomials and Rational Expressions (A.APR)
Domain: Arithmetic Creating Equations (A.CED)
Domain: Reasoning with Equations and Inequalities (A.REI)
4. Functions
Conceptual Category Overview
Suggested Materials
Functions – Overarching Key Vocabulary
Domain: Interpreting Functions (F.IF)
Domain: Building Functions (F.BF)
Domain: Linear, Quadratic, and Exponential Models (F.LE)
Domain: Trigonometric Functions (F.TF)
5. Geometry
Conceptual Category Overview
Suggested Materials
Geometry – Overarching Key Vocabulary
Domain: Congruence (G.CO)
Domain: Similarity, Right Traingles, and Trigonometry (G.SRT)
Domain: Circles (G.C)
Domain: Expressing Geometric Properties with Equations (G.GPE)
Domain: Geometric Measurement and Dimension (G.GMD)
Domain: Modeling with Geometry (G.MG)
6. Statistics and Probability
Conceptual Category Overview
Suggested Materials
Statistics and Probability – Overarching Key Vocabulary
Domain: Interpreting Categorical and Quantitative Data (S.ID)
Domain: Making Inferences and Justifying Conclusions (S.IC)
Domain: Conditional Probability and the Rules of Probability (S.CP)
Domain: Using Probability to make Decisions (S.MD)
Resources
Reproducibles
Additional Resources
About the Authors
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Marilyn E. Strutchens is the Emily R. and Gerald S. Leischuck Endowed Professor for Critical Needs and the Mildred Cheshire Fraley Distinguished Professor of Mathematics Education in the Department of Curriculum and Teaching at Auburn University and coordinator of secondary mathematics education. She is also the Director of the Professional Mathematics Learning Communities Project between TEAM-Math and the Alabama Mathematics, Science, and Technology Initiative. She teaches courses in mathematics education. Strutchens is a member of the Board of Directors for the National Council of Teachers of Mathematics and serves on the Advisory Committee for the Education and Human Resource Directorate for the National Science Foundation. She has held positions at the University of Maryland at College Park and the University of Kentucky. Her research interests include mathematics teacher preparation, equity issues in mathematics education, and teacher leader development. Recently, she was one of the writers for the Standards for Preparing Teachers of Mathematics (Association of Mathematics Teacher Educators [AMTE], 2017). She was the series editor for AMTE’s Second Monograph Series, editor for the special equity issue of the Journal of Mathematics Teacher Education published in February 2012, and has co-edited several National Council of Teachers of Mathematics (NCTM) books including, Focus on High School Mathematics: Fostering Reasoning and Sense Making for All Students, The Learning of Mathematics: 69th NCTM Yearbook, and Changing the Faces of Mathematics: Perspectives on African Americans. She has also authored and co-author several book chapters and journal articles. In addition, she has given numerous presentations. In addition, she was the AMTE 2017 Judith Jacob’s Lecturer.
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