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.
Task Discussion 3: Using Tools Effectively July 16, 2016 9:45-11:15am
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
Teaching Constructions How do you introduce constructions in your teaching? Think Pair Share!
Idea!
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.
Mira TM /GEOREFLECTOR TM • 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?
Miras TM • 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?
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?
Can you construct these?
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?
Mira TM Mini Golf • Try 1-3 with your tablemates. • What did you find? • Share!
Mira TM Mini Golf • Work on mini golf tasks 4 and 5 with your tablemates. • Discuss and share!
Mira TM 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.
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?
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?
Thank You! Jennifer Kim Jennifer Perego New Visions for Public Schools Our Lady of Lourdes School New York, NY Richmond, VA jkim@newvisions.org jen_perego@lourdesrva.org Online evaluation form: http://tinyurl.com/NCTM2016geom
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