Shasta County
Math Partnership
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November 9, 2010
Professional Development Day
Homework Sharing
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Content from October Training (Angles)
or from
Mt. Lassen Math Conference
Yarn Activity
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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.
Yarn Activity
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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.
Yarn Activity
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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.
Yarn Activity
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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.
Counting on Cubes
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Exploring Geometric Solids
1. In your group use straws and chenille
sticks to create each of the shapes pictured.
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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.
Exploring Geometric Solids
5. For each polyhedron (shape) determine the
number of faces, edges, and vertices
(corners) and record your results in the
chart.
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Vertices
Exploring Geometric Solids
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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).
Exploring Geometric Solids
1. Do you think the relationship you discovered in part
1 of “Exploring Geometric Solids” will hold for other
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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.
3. Did the relationship hold for the new geometric
shapes or polyhedron? Explain.
Exploring Geometric Solids
1. Using the shapes you created out of straws and
chenille sticks from “Exploring Geometric Solids –
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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?
Follow-Up Homework
Red Yarn, Counting Cubes
or Geometric Solids
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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.
EVALUATIONS
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complete
evaluation
form.
Let us know …
¾ what you learned.
¾ what you valued.
¾ what you would like more information about.
¾ and any other comments that can help us improve
the next professional development day.