Names: Date____________________ Trig Identities Manipulatives Project You will work in groups. 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 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 Color Shape Quantity Red Indent on top, jagged on 4 cos θ bottom sin Yellow Jagged on top, point on 4 θ bottom cos2 Red Two indents on top, 2 θ jagged on bottom sin2 Yellow Jagged on top, two 2 θ points on bottom tan Orange Jagged on top and 4 θ bottom tan2 Orange Jagged on top and 2 θ bottom sec Purple Jagged on top and 4 θ bottom csc Green Point on top and bottom 4 θ cot Orange Indent on top, point on 4 θ bottom sec2 Purple Jagged on top and 2 θ bottom csc2 Green Two points on top and 2 θ bottom cot2 Orange Two indents on top, two 2 θ points on bottom 1 Blue Point on top, jagged on 4 bottom - (minus sign) White Rectangle 3 + (plus sign) White Rectangle 3 = White Rectangle 2 fraction bar White Rectangle 3 Reflection Questions: Type your answers to the following questions and turn in with your rubric. Explain how tan and cot got their colors and shape. θ, sec θ, csc θ, θ Explain how sin2 and cos2 got their shapes. θ θ How might you change the manipulative to make it easier to understand the trig identities? Does working with these manipulatives help you understand trig identities better? Why or why not?
Names: Date____________________ Trig Identities Manipulatives Project You will work in groups. 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 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 Color Shape Quantity cos θ Red Indent on top, jagged on bottom 4 sin θ Yellow Jagged on top, point on bottom 4 cos2 θ Red Two indents on top, jagged on bottom 2 sin2 θ Yellow Jagged on top, two points on bottom 2 tan θ Orange Jagged on top and bottom 4 tan2 θ Orange Jagged on top and bottom 2 sec θ Purple Jagged on top and bottom 4 csc θ Green Point on top and bottom 4 cot θ Orange Indent on top, point on bottom 4 sec2 θ Purple Jagged on top and bottom 2 csc2 θ Green Two points on top and bottom 2 cot2 θ Orange Two indents on top, two points on bottom 2 1 Blue Point on top, jagged on bottom 4 - (minus sign) White Rectangle 3 + (plus sign) White Rectangle 3 = White Rectangle 2 fraction bar White Rectangle 3 Reflection Questions: Type your answers to the following questions and turn in with your rubric. Explain how tan θ, sec θ, csc θ, and cot θ got their colors and shape. Explain how sin2 θ and cos2 θ got their shapes. How might you change the manipulative to make it easier to understand the trig identities? Does working with these manipulatives help you understand trig identities better? Why or why not?
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