## Trigonometry Resources

http://www.touchmathematics.org/topics/trigonometry

The above website is a great visual for students to look at how all of the trigonometric functions relate to the unit circle. Students can find a point on the unit circle and analyze the graphs of the trigonometric functions. I think that this is a great tool to deepen understanding of the trigonometric functions and how they relate. I think that it is easy for students to see the similarities between the graphs at 0, pi, or 2pi but at times like pi/4 or pi/6, the similarities or differences can get lost. You can also look at each trigonometric function individually in order to get a deeper understanding of each function. I think this would be a nice activity in the classroom to bring things together in your class and to really get students thinking about the trigonometric functions. This online tool can help formulate some great classroom discourse.

http://illuminations.nctm.org/ActivityDetail.aspx?ID=174

This applet provides a quick graphical representation of trigonometric functions. This applet is something I could give my students as a resource after they have learned how to graph these types of equations. This could be a tool for them to refer to during homework rather than used in the classroom. I could also teach the different components of the general sine function using this applet. It would easily give them a visual of the vertical shift, amplitude, period, and horizontal shift.

http://www.proaxis.com/~ferris/goodies/Sohcahtoa/

This is a good SOH-CAH-TOA applet. The students can look at the three ratios in terms of the length of the side of he triangle. They can manipulate the side lengths to see how that affects the soh-cah-toa ratio. Since students usually learn this before they take a trigonometry course, this is a great review!

http://mathbits.com/caching/trigopencache1.html

This would be a good in class activity. Instead of doing a worksheet, the students would complete the problems on this site and finish the puzzle. You can walk around and easily measure progress as well as save some paper and make the worksheet more fun!

http://demonstrations.wolfram.com/GraphsOfTheSixTrigonometricFunctions/

This deonstration would be a great resource for students to make conjectures and comparisons about the six trigonometric functions. This could be used in class as an activity or as homework. This demonstration also easily and quickly generates the graphs of these functions for teachers or students to utilize. This can also be used to investigate the different parts of the trig equations, such as amplitude, period, vertical shift, etc.

The above website is a great visual for students to look at how all of the trigonometric functions relate to the unit circle. Students can find a point on the unit circle and analyze the graphs of the trigonometric functions. I think that this is a great tool to deepen understanding of the trigonometric functions and how they relate. I think that it is easy for students to see the similarities between the graphs at 0, pi, or 2pi but at times like pi/4 or pi/6, the similarities or differences can get lost. You can also look at each trigonometric function individually in order to get a deeper understanding of each function. I think this would be a nice activity in the classroom to bring things together in your class and to really get students thinking about the trigonometric functions. This online tool can help formulate some great classroom discourse.

http://illuminations.nctm.org/ActivityDetail.aspx?ID=174

This applet provides a quick graphical representation of trigonometric functions. This applet is something I could give my students as a resource after they have learned how to graph these types of equations. This could be a tool for them to refer to during homework rather than used in the classroom. I could also teach the different components of the general sine function using this applet. It would easily give them a visual of the vertical shift, amplitude, period, and horizontal shift.

http://www.proaxis.com/~ferris/goodies/Sohcahtoa/

This is a good SOH-CAH-TOA applet. The students can look at the three ratios in terms of the length of the side of he triangle. They can manipulate the side lengths to see how that affects the soh-cah-toa ratio. Since students usually learn this before they take a trigonometry course, this is a great review!

http://mathbits.com/caching/trigopencache1.html

This would be a good in class activity. Instead of doing a worksheet, the students would complete the problems on this site and finish the puzzle. You can walk around and easily measure progress as well as save some paper and make the worksheet more fun!

http://demonstrations.wolfram.com/GraphsOfTheSixTrigonometricFunctions/

This deonstration would be a great resource for students to make conjectures and comparisons about the six trigonometric functions. This could be used in class as an activity or as homework. This demonstration also easily and quickly generates the graphs of these functions for teachers or students to utilize. This can also be used to investigate the different parts of the trig equations, such as amplitude, period, vertical shift, etc.

## Geometry Resources

http://nlvm.usu.edu/en/nav/frames_asid_298_g_4_t_3.html?open=activities&from=category_g_4_t_3.html

This website allows students to visualize transformations, particularly reflections. This applet would be a great addition to the classroom for students to first make conjectures about what they are seeing. They can move the shape, rotate the shape, and also move the line of reflection. Students can then define what a reflection is. I think that it would be helpful before the definition to better understand when the definition is presented.

http://nlvm.usu.edu/en/nav/frames_asid_302_g_4_t_3.html?open=activities&from=category_g_4_t_3.html

This applet allows students to manipulate, investigate, or make conjectures about transformations. They can start with the given figure and analyze that as well as create their own figures to see how the transformation works. This applet could be used as either a demonstration, a quick class activity, or homework. The students can either be introduced to the topic through this applet or they can explore the things they have learned in class.

http://illuminations.nctm.org/ActivityDetail.aspx?ID=4

This activity is a great way to have students apply and get a deeper understanding of triangle congruence. They can manipulate sides and angles to try and prove the triangle congruence theorems. I think this is a great tool for an in class activity to get students to understand proofs. This is a hard topic for students and i believe that using this applet would deepen their understanding.

http://illuminations.nctm.org/ActivityDetail.aspx?ID=148

This activity allows students to manipulate the diagonals of various quadrilaterals and then shows them which quadrilateral their parameters satisfy. This is a good activity for students to instead of analyzing the diagonals of different quadrilaterals, but rather build a quadrilateral given information about the diagonals.

http://demonstrations.wolfram.com/AreasOfParallelogramsAndTrapezoids/

This is a demonstration that could be used in the class when introducing the area of of parallelograms and trapezoids. Instead of just giving students the formulas, you can show where they come from. This is a great visual to show students to break up the shape and manipulate it into a shape they are familiar with. This would serve as a quick in class demonstration when giving/deriving the area formulas in your classroom.

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This website allows students to visualize transformations, particularly reflections. This applet would be a great addition to the classroom for students to first make conjectures about what they are seeing. They can move the shape, rotate the shape, and also move the line of reflection. Students can then define what a reflection is. I think that it would be helpful before the definition to better understand when the definition is presented.

http://nlvm.usu.edu/en/nav/frames_asid_302_g_4_t_3.html?open=activities&from=category_g_4_t_3.html

This applet allows students to manipulate, investigate, or make conjectures about transformations. They can start with the given figure and analyze that as well as create their own figures to see how the transformation works. This applet could be used as either a demonstration, a quick class activity, or homework. The students can either be introduced to the topic through this applet or they can explore the things they have learned in class.

http://illuminations.nctm.org/ActivityDetail.aspx?ID=4

This activity is a great way to have students apply and get a deeper understanding of triangle congruence. They can manipulate sides and angles to try and prove the triangle congruence theorems. I think this is a great tool for an in class activity to get students to understand proofs. This is a hard topic for students and i believe that using this applet would deepen their understanding.

http://illuminations.nctm.org/ActivityDetail.aspx?ID=148

This activity allows students to manipulate the diagonals of various quadrilaterals and then shows them which quadrilateral their parameters satisfy. This is a good activity for students to instead of analyzing the diagonals of different quadrilaterals, but rather build a quadrilateral given information about the diagonals.

http://demonstrations.wolfram.com/AreasOfParallelogramsAndTrapezoids/

This is a demonstration that could be used in the class when introducing the area of of parallelograms and trapezoids. Instead of just giving students the formulas, you can show where they come from. This is a great visual to show students to break up the shape and manipulate it into a shape they are familiar with. This would serve as a quick in class demonstration when giving/deriving the area formulas in your classroom.

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