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1 SFUSD Math Core Curriculum 20152016 Grade __ Unit __: Unit Title Big Idea (One declarative sentence of an overarching concept central to the learning of math and that links various understandings into a coherent whole) Unit Objectives (Students will understand...be able to...) Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and full text of standards) SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016

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Page 1: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

SFUSD Math Core Curriculum 2015­2016 Grade __   

Unit __: Unit Title  

Big Idea 

(One declarative sentence of an overarching concept central to the learning of math and that links various understandings into a coherent whole)  

Unit Objectives 

● (Students will understand...be able to...) ●  ●  

Unit Description 

(Short narrative of the mathematical flow of this unit from start to finish)   

CCSS­M Content Standards 

(Include domain, cluster statements, and full text of standards)   

   

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 2: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

Progression of Mathematical Ideas  

Prior Supporting Mathematics 

Current Essential Mathematics 

Future Mathematics 

(Previous grades and/or previous units within this grade. Do not simply list content standards. Write a narrative description of the prerequisite mathematical knowledge.)     

(Current grade and unit. Write a narrative of the essential mathematics of this unit. Use the “Big Idea” as a starting point and then flesh it out.) 

(Future units and grades. Do not simply list content standards. Write a narrative description of how the mathematics of this unit will inform future mathematical learning.) 

  

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 3: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

Unit Design  SFUSD units are designed around four tasks. These tasks offer all students opportunities to engage in meaningful and rigorous mathematics that allow for the development of the Standards for Mathematical Practice. They give information about how students are learning the core concepts and skills of the unit.  All tasks are used for formative assessment—gathering information about what students know and are able to do—but they are not tests. The Entry, Apprentice, and Expert Tasks allow for student collaboration and individual accountability without being graded based on an expectation of mastery. The Milestone Task can be used as an individual assessment for grading students.  Entry Task:  What do you already know? Apprentice Task:  What sense are you making of what you are learning? Expert Task:  How can you apply what you have learned so far to a new situation? Milestone Task:  Did you learn what was expected of you from this unit?      

  

# days  # days  # days  # days  # days  # days  # days 

 Total days:       

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 4: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

Unit Overview  

  Days  Description  Sources 

Entry Task  

     

Lesson Series 1  

     

Apprentice Task  

     

Lesson Series 2  

     

Expert Task  

     

Lesson Series 3  

     

Milestone Task  

     

 

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 5: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

Resources  

  Student Pages  Materials 

Entry Task  

   

Lesson Series 1  

   

Apprentice Task  

   

Lesson Series 2  

   

Expert Task  

   

Lesson Series 3  

   

Milestone Task  

   

 

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 6: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

Entry Task  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 7: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

Lesson Series 1 Overview  

Description 

Standards 

Day  1  2  3  4 

Description   

       

Core Math   

       

Math Talks   

       

Homework   

       

Resources and  Setup 

       

 

   

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 8: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

Lesson Series 1 – Day 1  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 9: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

Lesson Series 1 – Day 2  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 10: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

10 

Lesson Series 1 – Day 3  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 11: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

11 

Lesson Series 1 – Day 4  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 12: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

12 

Apprentice Task  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 13: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

13 

Lesson Series 2 Overview  

Description 

Standards 

Day  1  2  3  4 

Description   

       

Core Math   

       

Math Talks   

       

Homework   

       

Resources and Setup 

       

  

   

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 14: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

14 

Lesson Series 2 – Day 1  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 15: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

15 

Lesson Series 2 – Day 2  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 16: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

16 

Lesson Series 2 – Day 3  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 17: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

17 

Lesson Series 2 – Day 4  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

 

   

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 18: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

18 

Expert Task  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

 

   

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 19: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

19 

Lesson Series 3 Overview   

Description 

Standards 

Day  1  2  3  4 

Description   

       

Core Math   

       

Math Talks   

       

Homework   

       

Resources and Setup 

       

  

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 20: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

20 

Lesson Series 3 – Day 1  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 21: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

21 

Lesson Series 3 – Day 2  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 22: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

22 

Lesson Series 3 – Day 3  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 23: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

23 

Lesson Series 3 – Day 4  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016 

Page 24: Unit : Unit Title · Unit Description (Short narrative of the mathematical flow of this unit from start to finish) CCSSM Content Standards (Include domain, cluster statements, and

  

24 

Milestone Task  

Description   

Core Math   

CCSS­M Standard(s) 

 

Potential Misconceptions 

 

Resources and Setup  

 

 

Math Talk   

 

Lesson Plan   

Launch   

Explore   

Summarize   

 

Universal Support 

 

Extensions   

Homework   

Notes   

    

SFUSD Mathematics Core Curriculum, Grade ___, Unit ___: Title of Unit, 2015–2016