How do you help your students demonstrate mathematical proficiency toward the learning expectations of the Common Core State Standards (CCSS)?
This teacher guide illustrates how to sustain successful implementation of the CCSS for mathematics for high school. Discover what students should learn and how they should learn it, including deep support for the Mathematical Modeling conceptual category of the CCSS. Comprehensive and research-affirmed analysis tools and strategies will help you and your collaborative team develop and assess student demonstrations of deep conceptual understanding and procedural fluency. You’ll also learn how fundamental shifts in collaboration, instruction, curriculum, assessment, and intervention can increase college and career readiness in every one of your students. Extensive tools to implement a successful and coherent formative assessment and RTI response are included.
Copublished with Solution Tree
Grades: 9th to 12th, High School
Connecting the Standards, Improving Mathematical Instruction
By connecting the CCSSM to previous standards and practices, the book serves as a valuable guide for teachers and administrators in implementing the CCSSM to make mathematics education the best and most effective for all students.
Help your high school students develop a robust understanding of functions.
Grades: 9th to 12th, High School
This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas--essential understandings.
Grades: 9th to 12th, High School
This book examines five big ideas and twenty-four related essential understandings for teaching statistics in grades 9–12.
Grades: 9th to 12th, High School
Connect the process of problem solving with the content of the Common Core. The first of a series, this book will help mathematics educators illuminate a crucial link between problem solving and the Common Core State Standards.
Grades: 9th to 12th, High School
Award-winning author Page Keeley and mathematics expert Cheryl Rose Tobey apply the successful format of Keeley’s best-selling Science Formative Assessment to mathematics. They provide 75 formative assessment strategies and show teachers how to use them to inform instructional planning and better meet the needs of all students. Research shows that formative assessment has the power to significantly improve learning, and its many benefits include:
Copublished with Corwin
The Meeting for Lunch problem exemplifies how standards provide more than an outline of daily activities for an entire school year.
Lesson Plan
Grades: 9th to 12th
Mathematical Practices
Geometry
Look for and express regularity in repeated reasoning.
Look for and make use of structure.
Attend to precision.
Use appropriate tools strategically.
Model with mathematics.
Construct viable arguments and critique the reasoning of others.
Reason abstractly and quantitatively.
Make sense of problems and persevere in solving them.
Congruence
HSG-CO.D.12, CCSS.Math.Practice.MP1, CCSS.Math.Practice.MP2, CCSS.Math.Practice.MP3, CCSS.Math.Practice.MP4, CCSS.Math.Practice.MP5, CCSS.Math.Practice.MP6, CCSS.Math.Practice.MP7, CCSS.Math.Practice.MP8
An analysis of problems from state assessments and other sources helps preservice teachers discover analogous mathematical representations.
Grades: 9th to 12th
Mathematical Practices
Geometry
Functions
Look for and express regularity in repeated reasoning.
Look for and make use of structure.
Attend to precision.
Use appropriate tools strategically.
Model with mathematics.
Construct viable arguments and critique the reasoning of others.
Reason abstractly and quantitatively.
Make sense of problems and persevere in solving them.
Similarity, Right Triangles, and Trigonometry
Trigonometric Functions
Interpreting Functions
HSF-IF.B.5, HSF-TF.A.3, HSG-SRT.C.7, CCSS.Math.Practice.MP1, CCSS.Math.Practice.MP2, CCSS.Math.Practice.MP3, CCSS.Math.Practice.MP4, CCSS.Math.Practice.MP5, CCSS.Math.Practice.MP6, CCSS.Math.Practice.MP7, CCSS.Math.Practice.MP8
Tying your teaching approach to the Common Core Standard for Geometry and Congruence will help students understand why functions behave as they do.
Grades: 9th to 12th
Mathematical Practices
Functions
Algebra
Look for and express regularity in repeated reasoning.
Look for and make use of structure.
Attend to precision.
Use appropriate tools strategically.
Model with mathematics.
Construct viable arguments and critique the reasoning of others.
Reason abstractly and quantitatively.
Make sense of problems and persevere in solving them.
Building Functions
Interpreting Functions
Creating Equations
HSA-CED.A.2, HSF-IF.C.7a, HSF-IF.C.7c, HSF-BF.B.3, CCSS.Math.Practice.MP1, CCSS.Math.Practice.MP2, CCSS.Math.Practice.MP3, CCSS.Math.Practice.MP4, CCSS.Math.Practice.MP5, CCSS.Math.Practice.MP6, CCSS.Math.Practice.MP7, CCSS.Math.Practice.MP8
Educating students—for life, not for tests—implies incorporating open-ended questions in your teaching to develop higher-order thinking.
Grades: 9th to 12th
Geometry
Algebra
Mathematical Practices
Number & Quantity
Expressing Geometric Properties with Equations
Similarity, Right Triangles, and Trigonometry
Arithmetic with Polynomials and Rational Functions
Look for and express regularity in repeated reasoning.
Look for and make use of structure.
Attend to precision.
Use appropriate tools strategically.
Model with mathematics.
Construct viable arguments and critique the reasoning of others.
Reason abstractly and quantitatively.
Make sense of problems and persevere in solving them.
Vector and Matrix Quantities
HSN-VM.A.1, HSN-VM.A.2, HSN-VM.A.3, HSG-SRT.C.8, CCSS.Math.Practice.MP1, CCSS.Math.Practice.MP2, CCSS.Math.Practice.MP3, CCSS.Math.Practice.MP4, CCSS.Math.Practice.MP5, CCSS.Math.Practice.MP6, CCSS.Math.Practice.MP7, CCSS.Math.Practice.MP8, HSA-APR.A.1, HSG-SRT.B.5, HSG-GPE.B.5
The potential drop in reported state proficiency rates when the new CCSSM assessments are implemented will require adjusted expectations.
Grades: 9th to 12th
Although high school geometry could be a meaningful course in exploring, reasoning, proving, and communicating, it often lacks authentic proof and has become just another course in algebra. This article examines why geometry is important to learn and provides an outline of what that learning experience should be.
Grades: 9th to 12th
The Common Core State Standards do not expect students to make connections between the greatest common factor, least common multiple, and least common denominator. The author discusses implications for student learning, including at the high school level, and makes a suggestion for higher expectations in interpreting and implementing the CCSS.
As we design curriculum programs based on CCSSM, we need to be careful when we consider the inclusion of some “nonessential” standards.
Grades: 9th to 12th
Functions
Mathematical Practices
Building Functions
Interpreting Functions
Look for and express regularity in repeated reasoning.
Look for and make use of structure.
Attend to precision.
Use appropriate tools strategically.
Model with mathematics.
Construct viable arguments and critique the reasoning of others.
Reason abstractly and quantitatively.
Make sense of problems and persevere in solving them.
HSF-BF.B.4a, CCSS.Math.Practice.MP1, CCSS.Math.Practice.MP2, CCSS.Math.Practice.MP3, CCSS.Math.Practice.MP4, CCSS.Math.Practice.MP5, CCSS.Math.Practice.MP6, CCSS.Math.Practice.MP7, CCSS.Math.Practice.MP8, HSF-IF.A.1, HSF-BF.B.4b, HSF-BF.B.4c, HSF-BF.B.4d