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Your Mathematics Standards Companion, Grades K-2
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Your Mathematics Standards Companion, Grades K-2
What They Mean and How to Teach Them

A Joint Publication of Corwin Mathematics and the National Council of Teachers of Mathematics, NCTM Stock Number 15461



June 2017 | 288 pages | Corwin

Transforming the standards into learning outcomes just got a lot easier

In this expansion of the original popular Common Core Mathematics Companions, you can see in an instant how teaching to your state standards should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing Index for states implementing their own specific mathematics standards, showing which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to for standards-based teaching ideas.

It’s all here, page by page:

  • The mathematics embedded in each standard for a deeper understanding of the content
  • Examples of what effective teaching and learning look like in the classroom  
  • Connected standards within each domain so teachers can better appreciate how they relate
  • Priorities within clusters so teachers know where to focus their time
  • The three components of rigor: conceptual understanding, procedural skills, and applications
  • Vocabulary and suggested materials for each grade-level band with explicit connections to the standards
  • Common student misconceptions around key mathematical ideas with ways to address them
  • Sample lesson plans and lesson planning templates
  • Cross-referenced index listing the standards in the following states, explaining what is unique to the standards of each state

Your Mathematics Standards Companion is your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.

 
Indexes Cross-Referencing Your State Standards
 
Quick Reference Guide
 
Acknowledgments
 
Letter to Grades K–2 Teachers
 
Letter to Elementary School Principals
 
Introduction
A Brief History of Current State Standards  
College and Career Ready Standards for Mathematics  
Instructional Shifts  
Terminology Used in This Book  
Effective Teaching Practices  
How to Use This Book  
Reflection Questions  
 
Part 1. Counting and Cardinality
Domain Overview  
Suggested Materials for This Domain  
Key Vocabulary  
 
Kindergarten
Cluster A: Know number names and the count sequence.  
Cluster B: Count to tell the number of objects.  
Cluster C: Compare numbers.  
Sample Planning Page: Counting and Cardinality, Kindergarten, Cluster B  
Planning Pages  
Reflection Questions: Counting and Cardinality  
 
Part 2. Operations and Algebraic Thinking
Domain Overview  
Suggested Materials for This Domain  
Key Vocabulary  
 
Kindergarten
Cluster A: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.  
Sample Planning Page: Operations and Algebraic Thinking, Kindergarten, Cluster A  
Planning Page  
 
Grade 1
Cluster A: Represent and solve problems involving addition and subtraction.  
Cluster B: Understand and apply properties of operations and the relationship between addition and subtraction.  
Cluster C: Add and subtract within 20.  
Cluster D: Work with addition and subtraction equations.  
Sample Planning Page: Operations and Algebraic Thinking, Grade 1, Cluster C  
Planning Pages  
 
Grade 2
Cluster A: Represent and solve problems involving addition and subtraction.  
Cluster B: Add and subtract within 20.  
Cluster C: Work with equal groups of objects to gain foundations for multiplication.  
Sample Planning Page: Operations and Algebraic Thinking, Grade 2, Cluster A  
Planning Pages  
Reflection Questions: Operations and Algebraic Thinking  
 
Part 3. Number and Operations in Base Ten
Domain Overview  
Suggested Materials for This Domain  
Key Vocabulary  
 
Kindergarten
Cluster A: Work with numbers 11–19 to gain foundation for place value.  
Sample Planning Page: Number and Operations in Base Ten, Kindergarten, Cluster A  
Planning Page  
 
Grade 1
Cluster A: Extend the counting sequence.  
Cluster B: Understand place value.  
Cluster C: Use place value understanding and properties of operations to add and subtract.  
Sample Planning Page: Number and Operations in Base Ten, Grade 1, Cluster C  
Planning Pages  
 
Grade 2
Cluster A: Understand place value.  
Cluster B: Use place value understanding and properties of operations to add and subtract.  
Sample Planning Page: Number and Operations in Base Ten, Grade 2, Cluster B  
Planning Pages  
Reflection Questions: Number and Operations in Base Ten  
 
Part 4. Measurement and Data
Domain Overview  
Suggested Materials for This Domain  
Key Vocabulary  
 
Kindergarten
Cluster A: Describe and compare measurable attributes.  
Cluster B: Classify objects and count the number of objects in each category.  
Sample Planning Page: Measurement and Data, Kindergarten, Cluster A  
Planning Pages  
 
Grade 1
Cluster A: Measure lengths indirectly and by iterating length units.  
Cluster B: Tell and write time.  
Cluster C: Represent and interpret data.  
Sample Planning Page: Measurement and Data, Grade 1, Cluster C  
Planning Pages  
 
Grade 2
Cluster A: Measure and estimate lengths in standard units.  
Cluster B: Relate addition and subtraction to length.  
Cluster C: Work with time and money.  
Cluster D: Represent and interpret data.  
Sample Planning Page: Measurement and Data, Grade 2, Cluster D  
Planning Pages  
Reflection Questions: Measurement and Data  
 
Part 5. Geometry
Domain Overview  
Suggested Materials for This Domain  
Key Vocabulary  
 
Kindergarten
Cluster A: Identify and describe shapes.  
Cluster B: Analyze, compare, create, and compose shapes.  
Sample Planning Page: Geometry, Kindergarten, Cluster A  
Planning Pages  
 
Grade 1
Cluster A: Reason with shapes and their attributes.  
Sample Planning Page: Geometry, Grade 1, Cluster A  
Planning Page  
 
Grade 2
Cluster A: Reason with shapes and their attributes.  
Sample Planning Page: Geometry, Grade 2, Cluster A  
Planning Page  
Reflection Questions: Geometry  
 
Resources
Table 1. Addition and Subtraction Situations  
Table 2. Addition and Subtraction Fact Strategies  
Table 3. Scaffolding Addition and Subtraction  
Table 4. Sample Addition and Subtraction Strategies  
Table 5. Standards for Mathematical Practice  
Table 6. Effective Teaching Practices  
 
Reproducibles
Reproducible 1. Five Frame  
Reproducible 2. Ten Frame  
Reproducible 3. Double Ten Frame  
Reproducible 4. Hundreds Chart  
Reproducible 5. Dot Cards  
Reproducible 6. Numeral Cards  
Reproducible 7. Number Line to 20  
Reproducible 8. Open Number Line  
Reproducible 9. Part-Part-Whole Chart  
Reproducible 10. Place Value Chart (Tens/Ones)  
Reproducible 11. Place Value Chart (Hundreds/Tens/Ones)  
Reproducible 12. Comparison Cards  
 
Additional Resources
 
About the Authors

Sample Materials & Chapters

At a Glance

Part 1


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