Names:
Date____________________
Trig Identities Manipulatives Project


You will work in groups of three
Each person in the group should answer the last reflection question in his own
words.
Background: View the two videos at the following links:
http://www.youtube.com/watch?v=qkwbZP0OMpY
http://www.youtube.com/watch?v=N5wBkiAqV5U&feature=related
These videos show what the manipulatives look like and how to present a solving trig identity to
the class.
Materials needed:
Construction paper in red, yellow, blue, purple, green, orange, white
Trig Identities formula sheet
Scissors
Ziploc bag to hold manipulatives
Rubric for Project
Level 4
Level 3
Manipulatives are
well constructed,
complete, and have
accurate information
Trig identity is
solved correctly
Reflection questions
are typed neatly,
thoughtfully
answered and have
clear, complete
sentences.
The class
presentation is clear,
accurate and easy to
understand
The project is
completed on time
with rubric turned in
Overall Score
Level 2
Level 1
You will also receive a teamwork grade on this project. Use of Class Time and
Teamwork: During class, level 3 groups will include every member in parts of the project and
will work together to overcome challenges. Students will clean up all materials at the end of each
class.
Your set of manipulatives must contain the following cards. The cards must be large
enough so they can easily be seen and moved around on a table or under the document
camera. Be sure to include the information that goes on the back of each card (see videos
for details).
Front of card
cosθ
Color
Red
sinθ
Yellow
cos2θ
Red
sin2θ
Yellow
tanθ
Orange
tan2θ
Orange
secθ
Purple
cscθ
Green
cotθ
Orange
sec2θ
Purple
csc2θ
Green
cot2θ
Orange
1
Blue
- (minus sign)
+ (plus sign)
=
White
White
White
Shape
Indent on top,
jagged on bottom
Jagged on top, point
on bottom
Two indents on top,
jagged on bottom
Jagged on top, two
points on bottom
Jagged on top and
bottom
Jagged on top and
bottom
Jagged on top and
bottom
Point on top and
bottom
Indent on top, point
on bottom
Jagged on top and
bottom
Two points on top
and bottom
Two indents on top,
two points on
bottom
Point on top, jagged
on bottom
Rectangle
Rectangle
Rectangle
Quantity
4
4
2
2
4
2
4
4
4
2
2
2
4
3
3
2
Reflection Questions: Type your answers to the following questions and turn in with your
rubric.
1. Explain how tanθ, secθ, cscθ, and cotθ got their colors and shape.
2. Explain how sin2θ and cos2θ got their shapes.
3. How might you change the manipulative to make it easier to understand the trig
identities?
4. Does working with these manipulatives help you understand trig identities better?
Why or why not?