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By: Marcy Myers. Developing Math Tasks. http://answergarden.ch/view/63462. Answer Garden. Performance Tasks.

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By marcy myers

By: Marcy Myers

Developing Math Tasks




Definition of performance task

  • Performance tasks challenge students to apply their knowledge and skills to respond to complex real-world problems. They can best be described as collections of questions and activities that are coherently connected to a single theme or scenario. These activities are meant to measure capacities such as depth of understanding, writing and research skills, and complex analysis, which cannot be adequately assessed with traditional assessment questions. (Smarter Balanced, 2012)

Definition of Performance Task


Depth of knowledge rigor
DEPTH OF Knowledge (Rigor)

Retrieved from: Smarter Balanced


Type i tasks assessing concepts skills and procedures

Type I: Tasks assessing concepts, skills and procedures


Type ii tasks assessing expressing mathematical reasoning

Type II: Tasks assessing expressing mathematical reasoning


Type iii tasks assessing modeling applications

Type III: Tasks assessing modeling / applications


Common core

  • Standards context or scenario (MP.4) and can also involve other mathematical practice standards.

  • Mathematical Practices (Begin Here)

    1. Make sense of problems and persevere in solving them.

    2. Reason abstractly and quantitatively.

    3. Construct viable arguments and critique the reasoning of others.

    4. Model with mathematics.

    5. Use appropriate tools strategically.

    6. Attend to precision.

    7. Look for and make use of structure.

    8. Look for and express regularity in repeated reasoning

Common Core


Keys to performance tasks

  • Begin with Real World and use factual data context or scenario (MP.4) and can also involve other mathematical practice standards.

  • Then move to abstract or symbolic

  • Do not use distracting graphs, pictures, etc.

  • Non Math vocabulary 1 grade level below

Keys to Performance Tasks


Creating the tasks

  • Concise Questions context or scenario (MP.4) and can also involve other mathematical practice standards.

  • Time for Exploration

    • creating conjectures and understanding

    • perplexity or wonder

      • Photos or videos are useful

Creating the Tasks


Implementation of math tasks

  • Allow time for Communication context or scenario (MP.4) and can also involve other mathematical practice standards.

    • MP 3 Construct viable arguments and critique the reasoning of others

    • Develop roles in small group (facilitator, recorder, manager, reporter)

    • Allow think time begin with individual time

  • Anticipate Questions

    • Group asks question guide thinking “no answers”

  • Set Clear Expectations (consistent)

  • Some problems short (opener type)

  • Open with a literacy passage to introduce

Implementation of Math Tasks


Developing a task

  • Task Name context or scenario (MP.4) and can also involve other mathematical practice standards.

  • Grade Level

  • Task Description

  • Standards

  • Mathematical Practices

  • Create a Rubric or Scoring

Developing a Task


Brain storm

  • What standard are you trying to address? context or scenario (MP.4) and can also involve other mathematical practice standards.

  • What are some real life situations for this age group that is relevant?

    • Cell Phones/Mobile devices

    • Games

    • Sports

    • Music Downloads

    • Ask for a survey at beginning of year what they enjoy.

Brain Storm


Do you want to have a party
Do you want to have a Party? context or scenario (MP.4) and can also involve other mathematical practice standards.


Beginning of year task example
Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

What do you see?


Beginning of year task example1
Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

Now what do you notice?


Beginning of year task example2
Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

What do you see on this picture?


Beginning of year task example3
Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

What do you think?


Beginning of year task example4
Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

Now ask them how much they think these items might cost for 1 student?


Beginning of year task example5
Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

Notebook: $1.00

Pack of Paper: $0.50

Colored Pencils: $1.50

Scissors: $2.00

Eraser: $1.00

Ruler: $0.50

Pack of Pencils: $0.50

Folders: $3.00

Now ask them how much do these items cost for 1 student based on the information provided?

How much would these supplies cost for our class?

How did you calculate that?


Beginning of year task example6
Beginning of Year Task Example context or scenario (MP.4) and can also involve other mathematical practice standards.

Notebook: $1.00

Pack of Paper: $0.50

Colored Pencils: $1.50

Scissors: $2.00

Eraser: $1.00

Ruler: $0.50

Pack of Pencils: $0.50

Folders: $3.00

How much would these supplies cost for 10 students?

How much would these supplies cost for 100 students?

How much would these supplies cost for 500 students?

How did you calculate each of the above?


Beginning of the year task

  • This could be appropriate for any grade one way to make it accessible for a 1st grader is to change it to just calculating how much the supplies are that are dollar amounts.

  • Then focus on 1 item that might be $1.00 to find how much for 10 students or the class question.

  • You might want to give them actual play money to represent the money.

Beginning of the Year Task


Technology In Math accessible for a 1


5 questions to ask for tool selection

  • Does the tool provide a meaningful model to support the mathematics?

  • Does the tool extend students’ thinking and support their learning of the given mathematical topic?

  • Is the tool necessary?

  • Is the tool easy to use?

  • Does the tool provide support for students to engage in and solve a problem?

5 Questions to Ask for Tool Selection


Virtual manipulatives

  • Virtual Manipulative Library mathematics?

    • http://nlvm.usu.edu/en/nav/vlibrary.html

  • Illuminations

    • http://illuminations.nctm.org/Activities.aspx?grade=1&grade=2

  • Shodor

    • http://www.shodor.org/interactivate/activities/

Virtual Manipulatives


Apps for ipads

  • Close to 20, 100, 1000 (from mathematics?pearson)

  • Wings (see quick images and comparing)

  • Brainbow (fun for teachers and challenging)

  • Hungry Fish (good for addition/subtraction starts off easy and gets challenging)

  • Hands On Equations

  • Math Kid (very basic addition, subtraction, multiplication, and division)

Apps for Ipads


Math and Literacy mathematics?


Math and literacy

Math and Literacy


Math literature

  • http://teacher.scholastic.com/products/math-concepts-skills/math-reads/webinar.htmhttp://teacher.scholastic.com/products/math-concepts-skills/math-reads/webinar.htm

    • Webinar from Marilyn Burns

  • http://teacher.scholastic.com/products/math-concepts-skills/math-reads/math-books-topics.htm

    • List of books from Math Reads by grade level

    • http://www.slideshare.net/ismes/one-is-a-snail-ten-is-a-crab

      • This is the book Marilyn uses

Math Literature


Balanced Mathhttp://teacher.scholastic.com/products/math-concepts-skills/math-reads/webinar.htm


Balanced math key is standards based and student centered

  • Mental http://teacher.scholastic.com/products/math-concepts-skills/math-reads/webinar.htmMath (5-7 minutes)

    • Today’s Number

    • On carpet

    • Not writing down possibly

  • Math Review (5-7 minutes)

  • Lesson (10-15 minutes)

    • Whole group

    • Problem solving

  • Flexible Groups (50-60 minutes)

    • Individuals

    • Technology (computers, smart board, Ipad, etc.)

    • Groups of no more than 4

    • Key is students need to have direction!!!!!!

  • Closure (5-7 minutes)

    • Bring students back to carpet

    • Journal Writing

Balanced MathKey is Standards based and Student Centered


What now

  • Establish Procedures or routineshttp://teacher.scholastic.com/products/math-concepts-skills/math-reads/webinar.htm

  • Accountability (students)

  • Data Driven Instruction

    • (MAPs, anecdotal notes, observations, common assessments)

What Now


Referenceshttp://teacher.scholastic.com/products/math-concepts-skills/math-reads/webinar.htm


Reference page

  • Blomberghttp://teacher.scholastic.com/products/math-concepts-skills/math-reads/webinar.htm, A. (May, 2013). Math Tasks in a Common Core Curriculum Alignment. Master's Paper for University of Wisconsin. Retrieved from

    minds.wisconsin.edu/bitstream/handle/1793/65896/AdamBlomberg.pdf?sequence=1

  • Rothman, R. (July/August 2012). Nine Ways the Common Core Will Change Classroom Practice. Harvard Education Letter. Retrieved from:

    http://hepg.org/hel/article/543

  • Ramirez, G. Gunderson, E.A., Levine, S.C., Beilock, S.L. Math Anxiety and Working Memory in Elementary School. Journal of Cognition and Development. Retrieved from

    http://home.uchicago.edu/~lizgunderson/Publications/Ramirez%20et%20al%20%28in%20press%29%20-%20math%20anxiety.pdf

Reference Page


Few important information

  • CMS Math- http://teacher.scholastic.com/products/math-concepts-skills/math-reads/webinar.htmhttps://elementarymathematics.org/

  • Marcy’s Wiki- http://marcymyers.cmswiki.wikispaces.net/

  • My Blog- http://mmyers44.weebly.com/blog.html

  • Pearson for investigations- https://www.pearsonsuccessnet.com/snpapp/login/login.jsp?showLoginPage=true

Few Important Information


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