1. S hasta C ounty M ath P artnership November 9, 2010 Professional Development Day

2. Homework Sharing Content from October Training (Angles) or from Mt. Lassen Math Conference

3. Yarn Activity In this activity, we will make shapes, discover or revisit geometrical vocabulary terms, and be prepared to prove that the shape we made is correct.

4. Yarn Activity Directions—make the following shapes with your elbow partner: 1.Triangle- Locate a side, a vertex, and show an angle. 2.Isosceles triangle- Prove your shape is an actual isosceles triangle; explain your proof.

5. Yarn Activity 3.Equilateral triangle- Prove your shape is an actual equilateral triangle; explain your proof. 4.Pentagon- How many sides does it have? How many angles does it have? Show one. How many vertices does it have? Show one. 5.Pentagon with exactly two congruent angles Prove that the two angles are congruent; explain your proof.

6. Yarn Activity In groups make: 1.Three equilateral triangles—no more than two can share a common vertex Prove that your three triangles are equilateral; explain your proof. 2.A cube How many faces does your shape have? How many vertices? Show the angles from a vertex. Prove that your shape is a cube; explain your proof.

7. Counting on Cubes

8. Exploring Geometric Solids 1. In your group use straws and chenille sticks to create each of the shapes pictured. 2. Then as a group sort the shapes using some criteria. Describe the criteria used for your method of sorting. 3. Create a second criteria for sorting the shapes. Describe this criteria also. 4. From the class discussion fill in the names of the different shapes pictured.

9. Exploring Geometric Solids 5.For each polyhedron (shape) determine the number of faces, edges, and vertices (corners) and record your results in the chart. Vertices

10. Exploring Geometric Solids 6.Find the sum of the faces and vertices for each polyhedron (shape) and record your results in the chart. 7.Describe any relationships you notice between the faces, edges, and vertices of the polyhedron (shape).

11. Exploring Geometric Solids 1.Do you think the relationship you discovered in part 1 of “ Exploring Geometric Solids ” will hold for other shapes? Explain. 2.Now you will need to test out your prediction from #1 above, using either a pre-made net or the “ Geometric Solids Tool ” from the “ Illuminations ” website: http://illuminations.nctm.org/LessonDetail.aspx?ID=L407. Determine the number of faces, edges, and vertices (corners) for the shapes below. http://illuminations.nctm.org/LessonDetail.aspx?ID=L407 3.Did the relationship hold for the new geometric shapes or polyhedron? Explain.

12. Exploring Geometric Solids 1.Using the shapes you created out of straws and chenille sticks from “ Exploring Geometric Solids – Part 1 ” make a prediction for what you believe will happen when you submerge the shapes completely into the soap solution. 2.Dip the shapes one at a time completely into the soap solution and record below what you see. 3.Try popping one side at a time. How does the soap film change? 4.Can you make a cube bubble inside the cube shape? How did you do it? 5.Can you make a pentagonal prism bubble inside a shape? Which shape? How?

13. Follow-Up Homework Red Yarn, Counting Cubes or Geometric Solids 1.Adapt an activity from one of the activities that we did today, November 9, 2010 to use in your classroom. 2.Before our January 11, 2011 Professional Development Day, have your class work through your adapted activity.

14. EVALUATIONS Please complete the evaluation form. Let us know …  what you learned.  what you valued.  what you would like more information about.  and any other comments that can help us improve the next professional development day.