Welcome Remember, one purpose of our sessions is to network, so - - PowerPoint PPT Presentation

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Welcome Remember, one purpose of our sessions is to network, so - - PowerPoint PPT Presentation

Welcome Remember, one purpose of our sessions is to network, so please sit with friends that you havent met yet! Introduce yourself to the people around you; explore a resource http://map.mathshell.org/ and/or www.wodb.ca and share one


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SLIDE 1

Welcome

  • Remember, one purpose of our sessions is to

network, so please sit with friends that you haven’t met yet!

  • Introduce yourself to the people around you;

explore a resource http://map.mathshell.org/ and/or www.wodb.ca and share one thing you found that was interesting from the websites with your table.

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SLIDE 2

Task Discussion 3: Using Tools Effectively

July 16, 2016 9:45-11:15am

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SLIDE 3

Standards for Mathematical Practice (p. 24)

  • 1. Make sense of problems and persevere in solving
  • 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 use structure
  • 8. Look for and express regularity in repeated

reasoning

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SLIDE 4

Teaching Constructions

How do you introduce constructions in your teaching? Think Pair Share!

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SLIDE 5

Idea!

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SLIDE 6

Opening Tasks

  • Thinking as a student…

Use the tools in front of you to complete the following tasks: Task 1: Bisect the line segment Task 2: Bisect the angle Task 3: Construct a line to the given line through the point Task 4: Construct the center of the circle

  • How many different ways did you find to

complete each task?

  • Share with your tablemates.
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SLIDE 7

MiraTM/GEOREFLECTORTM

  • Miras have been placed on your tables. Take

3-4 minutes to play around with one. See if you can use a Mira to complete any of the previous 4 tasks.

  • Who has used a Mira before?
  • How does one use a Mira?
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SLIDE 8

MirasTM

  • With your tablemates, have you figured out all 4

constructions with the Mira?

  • How can a Mira be used with the “hat” worksheets

at your table?

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SLIDE 9

Other Tasks

  • Using the tools in front of you, complete

the following tasks:

–Construct an equilateral triangle –Construct parallel lines (using a transversal) –Construct a line tangent to a circle.

  • Extension/Challenge: Can you use this tangent

to circumscribe a square?

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SLIDE 10

Can you construct these?

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SLIDE 11

Appropriate Tools

  • For each task, which tool did you find most

appropriate? Why?

  • Would you let students choose their tool?
  • How do these tools impact testing?
  • What about technology such as GeoGebra?
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SLIDE 12

MiraTM Mini Golf

  • Try 1-3 with your tablemates.
  • What did you find?
  • Share!
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SLIDE 13

MiraTM Mini Golf

  • Work on mini golf tasks 4 and 5 with your

tablemates.

  • Discuss and share!
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SLIDE 14

MiraTM Mini Golf

  • On your table you will find copies of grid

paper.

  • As a table, create a mini golf hole. How many

banks will it take to get a hole-in-one?

  • Challenge another table to get a hole-in-one

with your creation.

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SLIDE 15

Mini-Task Challenge

  • Given the construction, prove that AB is

perpendicular to CD.

  • Work with your tablemates!

What would your students do to solve the problem?

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SLIDE 16

Geometry Wrap Up

  • What are your takeaways?
  • How can we use the teaching practices (p.22)

in our classroom?

  • How to reconcile (1) standards, (2) student

absences, (3) administrative support, (4) testing, (5) timing, etc. when implementing tasks?

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SLIDE 17

Thank You!

Jennifer Kim

New Visions for Public Schools New York, NY jkim@newvisions.org

Online evaluation form:

http://tinyurl.com/NCTM2016geom

Jennifer Perego

Our Lady of Lourdes School Richmond, VA jen_perego@lourdesrva.org