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Your Mathematics Standards Companion, Grades 3-5: What They Mean and How to Teach Them [Spiraalköide]

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  • Formaat: Spiral bound, 360 pages, kõrgus x laius: 279x215 mm, kaal: 860 g
  • Sari: Corwin Mathematics Series
  • Ilmumisaeg: 25-Aug-2017
  • Kirjastus: Corwin Press Inc
  • ISBN-10: 150638224X
  • ISBN-13: 9781506382241
Teised raamatud teemal:
Your Mathematics Standards Companion, Grades 3-5: What They Mean and How to Teach ThemSuurem pilt
  • Formaat: Spiral bound, 360 pages, kõrgus x laius: 279x215 mm, kaal: 860 g
  • Sari: Corwin Mathematics Series
  • Ilmumisaeg: 25-Aug-2017
  • Kirjastus: Corwin Press Inc
  • ISBN-10: 150638224X
  • ISBN-13: 9781506382241
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781506382241.html
Märksõnad:

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 1(1)
Quick Reference Guide xv
Acknowledgments xxiii
Letter to Grades 3--5 Teachers xxv
Letter to Elementary School Principals xxvii
Introduction xxix
A Brief History of Current State Standards xxix
College and Career Ready Standards for Mathematics xxix
Instructional Shifts xxx
Terminology Used in This Book xxx
Effective Teaching Practices xxxiii
How to Use This Book xxxiv
Reflection Questions xxxv
Part 1 Operations and Algebraic Thinking
Domain Overview
2(1)
Suggested Materials for This Domain
3(1)
Key Vocabulary
3(3)
Grade 3
Cluster A Represent and solve problems involving multiplication and division
6(9)
Cluster B Understand properties of multiplication and the relationship between multiplication and division
15(5)
Cluster C Multiply and divide within 100
20(2)
Cluster D Solve problems involving the four operations, and identify and explain patterns in arithmetic
22(3)
Sample Planning Page: Operations and Algebraic Thinking, Grade 3, Cluster A
25(2)
Planning Pages
27(4)
Grade 4
Cluster A Use the four operations with whole numbers to solve problems
31(7)
Cluster B Gain familiarity with factors and multiples
38(3)
Cluster C Generate and analyze patterns
41(3)
Sample Planning Page: Operations and Algebraic Thinking, Grade 4, Cluster B
44(4)
Planning Pages
48(3)
Grade 5
Cluster A Write and interpret numerical expressions
51(3)
Cluster B Analyze patterns and relationships
54(3)
Sample Planning Page: Operations and Algebraic Thinking, Grade 5, Cluster A
57(1)
Planning Pages
58(4)
Reflection Questions: Operations and Algebraic Thinking
60(2)
Part 2 Number and Operations in Base Ten
Domain Overview
62(1)
Suggested Materials for This Domain
63(1)
Key Vocabulary
63(2)
Grade 3
Cluster A Use place value understanding and properties of operations to perform multi-digit arithmetic
65(7)
Sample Planning Page: Number and Operations in Base Ten, Grade 3, Cluster A
72(1)
Planning Page
73(1)
Grade 4
Cluster A Generalize place value understanding for multi-digit whole numbers
74(5)
Cluster B Use place value understanding and properties of operations to perform multi-digit arithmetic
79(7)
Sample Planning Page: Number and Operations in Base Ten, Grade 4, Cluster B
86(2)
Planning Pages
88(2)
Grade 5
Cluster A Understand the place value system
90(7)
Cluster B Perform operations with multi-digit whole numbers and with decimals to hundredths
97(6)
Sample Planning Page: Number and Operations in Base Ten, Grade 5, Cluster B
103(2)
Planning Pages
105(5)
Reflection Questions: Number and Operations in Base Ten
107(3)
Part 3 Number and Operations---Fractions
Domain Overview
110(1)
Suggested Materials for This Domain
111(1)
Key Vocabulary
111(2)
Grade 3
Cluster A Develop understanding of fractions as numbers
113(10)
Sample Planning Page: Number and Operations---Fractions, Grade 3, Cluster A
123(2)
Planning Page
125(1)
Grade 4
Cluster A Extend understanding of fraction equivalence and ordering
126(4)
Cluster B Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
130(11)
Cluster C Understand decimal notation for fractions, and compare decimal fractions
141(6)
Sample Planning Page: Number and Operations---Fractions, Grade 4, Cluster C
147(2)
Planning Pages
149(3)
Grade 5
Cluster A Use equivalent fractions as a strategy to add and subtract fractions
152(3)
Cluster B Apply and extend previous understandings of multiplication and division to multiply and divide fractions
155(14)
Sample Planning Page: Number and Operations---Fractions, Grade 5, Cluster A
169(2)
Planning Pages
171(5)
Reflection Questions: Number and Operations---Fractions
173(3)
Part 4 Measurement and Data
Domain Overview
176(1)
Suggested Materials for This Domain
177(1)
Key Vocabulary
177(3)
Grade 3
Cluster A Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects
180(3)
Cluster B Represent and interpret data
183(3)
Cluster C Geometric measurement: Understand concepts of area and relate area to multiplication and to addition
186(6)
Cluster D Geometric measurement: Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures
192(2)
Sample Planning Page: Measurement and Data, Grade 3, Cluster A
194(1)
Planning Pages
195(4)
Grade 4
Cluster A Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit
199(4)
Cluster B Represent and interpret data
203(2)
Cluster C Geometric measurement: Understand concepts of angle and measure angles
205(4)
Sample Planning Page: Measurement and Data, Grade 4, Cluster A
209(1)
Planning Pages
210(3)
Grade 5
Cluster A Convert like measurement units within a given measurement system
213(2)
Cluster B Represent and interpret data
215(2)
Cluster C Geometric measurement: Understand concepts of volume and relate volume to multiplication and to addition
217(4)
Sample Planning Page: Measurement and Data, Grade 5, Cluster C
221(1)
Planning Pages
222(6)
Reflection Questions: Measurement and Data
225(3)
Part 5 Geometry
Domain Overview
228(1)
Suggested Materials for This Domain
229(1)
Key Vocabulary
229(3)
Grade 3
Cluster A Reason with shapes and their attributes
232(3)
Sample Planning Page: Geometry, Grade 3, Cluster A
235(1)
Planning Page
236(1)
Grade 4
Cluster A Draw and identify lines and angles, and classify shapes by properties of their lines and angles
237(4)
Sample Planning Page: Geometry, Grade 4, Cluster A
241(1)
Planning Page
242(1)
Grade 5
Cluster A Graph points on the coordinate plane to solve real-world and mathematical problems
243(3)
Cluster B Classify two-dimensional figures into categories based on their properties
246(3)
Sample Planning Page: Geometry, Grade 5, Cluster A
249(1)
Planning Pages
250(4)
Reflection Questions: Geometry
252(2)
Resources
Table 1 Addition and Subtraction Situations, Grades 3--5
254(2)
Table 2 Multiplication and Division Situations, Grades 3--5
256(3)
Table 3 Standards for Mathematical Practice
259(3)
Table 4 Effective Teaching Practices
262(4)
Reproducibles
Reproducible 1 Hundreds Chart
266(1)
Reproducible 2 Place Value Chart to Hundreds
267(1)
Reproducible 3 Grid Paper
268(1)
Reproducible 4 Base-Ten Blocks
269(1)
Reproducible 5 Fraction Area Models (Circular)
270(3)
Reproducible 6 Fraction Area Models (Rectangular)
273(2)
Reproducible 7 Fraction Strips/Bars
275(2)
Reproducible 8 Place Value Chart
277(1)
Reproducible 9 Geoboard Paper
278(1)
Reproducible 10 Dot Paper (Centimeter)
279(1)
Reproducible 11 Pattern Blocks
280(1)
Reproducible 12 Tangram Pattern
281(1)
Additional Resources 282(1)
About the Authors 283
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 Virginias 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.