Your Mathematics Standards Companion, Grades K-2

Winner of the Presidential Award for Excellence in Science and Mathematics Teaching, Linda M. Gojak directed the Center for Mathematics and Science Education, Teaching, and Technology (CMSETT) at John Carroll University for 16 years. She has spent 28 years teaching elementary and middle school mathematics, and has served as the president of the National Council of Teachers of Mathematics (NCTM), the National Council of Supervisors of Mathematics (NCSM), and the Ohio Council of Teachers of Mathematics. Ruth Harbin Miles coaches rural, suburban, and inner-city school mathematics teachers.  Her professional experiences include coordinating the K-12 Mathematics Teaching and Learning Program for the Olathe, Kansas, Public Schools for more than 25 years; teaching mathematics methods courses at Virginia’s Mary Baldwin College; and serving on the Board of Directors for the National Council of Teachers of Mathematics, the National Council of Supervisors of Mathematic, and both the Virginia Council of Teachers of Mathematics and the Kansas Association of Teachers of Mathematics.  Ruth is a co-author of five Corwin books including A Guide to Mathematics Coaching, A Guide to Mathematics Leadership, Visible Thinking in the K-8 Mathematics Classroom, The Common Core Mathematics Standards, and Realizing Rigor in the Mathematics Classroom.  As co-owner of Happy Mountain Learning, Ruth specializes in developing teachers’ content knowledge and strategies for engaging students to achieve high standards in mathematics.

• Indexes Cross-Referencing Your State StandardsQuick Reference GuideAcknowledgmentsLetter to Grades K–2 TeachersLetter to Elementary School PrincipalsIntroductionA Brief History of Current State StandardsCollege and Career Ready Standards for MathematicsInstructional ShiftsTerminology Used in This BookEffective Teaching PracticesHow to Use This BookReflection QuestionsPart 1. Counting and CardinalityDomain OverviewSuggested Materials for This DomainKey VocabularyKindergartenCluster 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 BPlanning PagesReflection Questions: Counting and CardinalityPart 2. Operations and Algebraic ThinkingDomain OverviewSuggested Materials for This DomainKey VocabularyKindergartenCluster 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 APlanning PageGrade 1Cluster 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 CPlanning PagesGrade 2Cluster 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 APlanning PagesReflection Questions: Operations and Algebraic ThinkingPart 3. Number and Operations in Base TenDomain OverviewSuggested Materials for This DomainKey VocabularyKindergartenCluster A: Work with numbers 11–19 to gain foundation for place value.Sample Planning Page: Number and Operations in Base Ten, Kindergarten, Cluster APlanning PageGrade 1Cluster 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 CPlanning PagesGrade 2Cluster 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 BPlanning PagesReflection Questions: Number and Operations in Base TenPart 4. Measurement and DataDomain OverviewSuggested Materials for This DomainKey VocabularyKindergartenCluster 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 APlanning PagesGrade 1Cluster 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 CPlanning PagesGrade 2Cluster 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 DPlanning PagesReflection Questions: Measurement and DataPart 5. GeometryDomain OverviewSuggested Materials for This DomainKey VocabularyKindergartenCluster A: Identify and describe shapes.Cluster B: Analyze, compare, create, and compose shapes.Sample Planning Page: Geometry, Kindergarten, Cluster APlanning PagesGrade 1Cluster A: Reason with shapes and their attributes.Sample Planning Page: Geometry, Grade 1, Cluster APlanning PageGrade 2Cluster A: Reason with shapes and their attributes.Sample Planning Page: Geometry, Grade 2, Cluster APlanning PageReflection Questions: GeometryResourcesTable 1. Addition and Subtraction SituationsTable 2. Addition and Subtraction Fact StrategiesTable 3. Scaffolding Addition and SubtractionTable 4. Sample Addition and Subtraction StrategiesTable 5. Standards for Mathematical PracticeTable 6. Effective Teaching PracticesReproduciblesReproducible 1. Five FrameReproducible 2. Ten FrameReproducible 3. Double Ten FrameReproducible 4. Hundreds ChartReproducible 5. Dot CardsReproducible 6. Numeral CardsReproducible 7. Number Line to 20Reproducible 8. Open Number LineReproducible 9. Part-Part-Whole ChartReproducible 10. Place Value Chart (Tens/Ones)Reproducible 11. Place Value Chart (Hundreds/Tens/Ones)Reproducible 12. Comparison CardsAdditional ResourcesAbout the Authors