Deep dive into math shift 3 rigor
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Deep Dive into Math Shift 3 RIGOR. Understanding Rigor in the Common Core State Standards for Mathematics Using the 2013-2014 Course Descriptions. Shift #3: Rigor. What is meant by rigor? The CCSSM require a balance of: Solid conceptual understanding Procedural skill and fluency

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Deep Dive into Math Shift 3 RIGOR

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Deep Dive into Math Shift 3RIGOR

Understanding Rigor in the Common Core State Standards for Mathematics

Using the 2013-2014 Course Descriptions


Shift #3: Rigor

What is meant by rigor?

The CCSSM require a balance of:

  • Solid conceptual understanding

  • Procedural skill and fluency

  • Application of skills in problem solving situations

    Pursuit of all three requires equal intensity in time, activities, and resources.

RIGOR

Fluency

Application

Conceptual Understanding


Today’s AgendaRigor in the CCSSM

  • Discuss Rigor and Find evidence of it within the 2013-2014 Florida Math Course Descriptions

  • Look specifically at fluency recommendations for Middle School

  • Determine what instructional shifts must occur as we increase the rigor


Building Fluency

Mathematics Fluency: A Balanced Approach (1:56)

  • http://www.youtube.com/watch?v=ZFUAV00bTwA&list=PLD7F4C7DE7CB3D2E6&index=13&feature=plpp_video

  • http://youtu.be/ZFUAV00bTwA


FluencyWhat is it? Skill in carrying out proceduresflexibly, accurately, efficiently and appropriately


Deep UnderstandingWhat is it? Comprehension of Mathematical Concepts


Rigorous Group Discussion

  • Share examples of relevant, real-world experiences you use to make important connections to the concepts you teach.

  • How do these applications relate back to both fluency and conceptual understanding?


One Instructional Model

Assuming a 60 minute math class:

10 minutes: Fluency Activities, formative assessment

20 minutes: Conceptual Development/Practice

20 minutes: Application

10 minutes: Review


EXAMPLE:NY Common Core Mathematics Curriculum ModelLesson Structure


Rigor Breakdown - Sprints - Fluency in Action(6:07)

  • http://www.engageny.org/resource/nti-november-2012-rigor-breakdown-sprints-fluency-in-action


Florida 2013-2014 Math Instruction

  • Blended Instruction between the CCSS and a subset of NGSS (assessed by FCAT 2.0).

  • Grades 3-8 will be assessed by FCAT 2.0

  • Algebra I and Geometry will be assessed by the Florida EOC Exams.

    Transitional Shifts

  • Increased rigor

  • Classroom assessment to include PARCC-like tasks


Rigor Addressed in the Standards

  • Conceptual Understanding:

    6.NS.3.7 Understandordering and absolute value of rational numbers.

  • Procedural Skill and Fluency:

    7.EE.2.4a …..Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently…

  • Application:

    8.G.3.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solvereal world and mathematical problems.


Rigor Requires Balance

Conceptual Understanding

+

Procedural Skill and Fluency +

Application

=

RIGOR


Evidence of Rigor in the Standards

key words within the standards

Conceptual Understanding

UnderstandRecognizeInterpret

DescribeExplainUse

RelateRepresentIdentify

JustifySolve

Procedural Skill and Fluency

Fluently Fluency

Application

SolveWord ProblemReal World ProblemApply

Mathematical ProblemModel(ing)


Locating Evidence of Rigor in the Standards

Activity

In grade-level teams:

  • Read each standard in your course description

  • Look for and underline or highlight key words or phrases indicating RIGOR

    • Understand

    • Fluently

    • Solve Real World problems or word problems

  • Post your questions and comments to the Parking Lot


RIGOR is a Balancing Act

Conceptual

Understanding

RIGOR

Application

Fluency


Advance to next slide


Grade 6 Fluency Progression


Grade 7 Fluency Progression


Grade 8 Fluency Progression


Rethinking Rigor

  • Building Confidence through Problem Solving

  • Grades 3-5, Math, Number Fluency

    https://www.teachingchannel.org/videos/building-math-confidence


Group Discussion

Where was the rigor?

What strategies and structures are applicable to MS?

What shifts need to happen in our classrooms?


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