# Writing Equations of all 6 Trig Functions Intro + 26 Assignments for SMART

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These activities are done in degrees.

Included in this zip folder are 41 SMART Notebook files. 15 files are Instructional files and 26 files are assignments. A brief description of each:

3 Instruction files introduce the 4 key points of the graph and the period for:
1. sine
2. cosine
3. tangent
4. cotangent
5. secant
6. cosecant
There are 5 formative assessment problems in each file.

3 instruction files introduce the vertical shift for the six trig functions above. There are 5 formative assessment problems in each file.

3 instruction files introduce the vertical stretch for the six trig functions above. There are 5 formative assessment problems in each file.

3 instruction files introduce the horizontal stretch for the six trig functions above. There are 5 formative assessment problems in each file.

3 instruction files introduce the horizontal shift (phase angle) for the six trig functions above. There are 8 formative assessment problems in each file.

There are 10 sinusoid assignments:

Assignment #1 is 4 graphs and the student must give:
1. The vertical shift (centerline)
2. The vertical stretch (height)
3. The period
4. The horizontal stretch factor
5. The phase angle if a transformation of y=sinx
6. The phase angle if a transformation of y=cos x
It is on 1 page for easy printing and coded for SMART Response.

Assignment #1A is like #1

Assignment #1B is like #1

Assignment #2 is 20 graphs. 10 are for cos and 10 for sin. The student writes an equation of each graph. It is on 2 pages for easy printing.

Assignment #3 is like #1. However the phase angle for y=-sinx and y=-cosx are also required. This assignment is on socrative and the share number is included in the file. It is on 1 page for easy printing and coded for SMART Response.

Assignment #3 A is like #3.

Assignment #4 is 10 graphs. 5 are for sin and 5 are for cos. The student is asked to write an equation of each graph. It is on 1 page for easy printing.

Assignment #5 is a 20 question multiple choice assignment. The student uses transformations to select the best graph. It is on 1 page for easy printing and coded for SMART Response.

Assignment #6 is 10 graphs. 5 are for -sin and 5 are for -cos. The student is asked to write an equation of each. It is on 1 page for easy printing and coded for SMART Response.

Assignment #7 is 4 graphs. The student must write 4 equations for each graph as a transformation of:
1. y=sinx
2. y=-sinx
3. y=cosx
4 y=-cosx

There are 6 secant and cosecant assignments

Assignment #1 is 4 graphs. The student must find:
1. The vertical shift (centerline)
2. The vertical stretch (height)
3. The period
4. The horizontal stretch factor
5. The phase angle if a transformation of y=secx
6. The phase angle if a transformation of y=cscx
It is on 1 page for easy printing and coded for SMART Response.

Assignment #2 is 10 graphs. The student must write an equation of each as a transformation of y=secx. It is on 1 page for easy printing.

Assignment #3 is 10 graphs. The student must write an equation of each as a transformation of y=secx. It is on 1 page for easy printing and coded for SMART Response.

Assignment #4 is like #1

Assignment #5 is 10 graphs. 5 are for sec and 5 are for csc. The student writes an equation of each. It is on 1 page for easy printing.

Assignment 36 is like #1 but the student also is asked about the phase angle of y=-secx and y=-cscx. It is on 1 page for easy printing and coded for SMART Response.

There are 6 tangent and cotangent assignments

Assignment #1 is 6 graphs and the student must give:
1. The vertical shift (centerline)
2. The vertical stretch (height)
3. The period
4. The horizontal stretch factor
5. The phase angle if a transformation of y=tanx
6. The phase angle if a transformation of y=cot x
It is on 1 page for easy printing and coded for SMART Response.

Assignment #2 is 10 graphs. The student must write an equation of each as a transformation of y=tanx. It is on 1 page for easy printing.

Assignment #3 is 10 graphs. The student must write an equation of each as a transformation of y=cotx. It is on 1 page for easy printing.

Assignment #4 is like Assignment #1.

Assignment #4A is 4 graphs and like Assignment #1. The student is also asked the phase angle for y=-tanx and y=-cotx. It is on 1 page for easy printing and coded for SMART Response.

Assignment #5 is 10 graphs. 5 are for tan and 5 are for cot. The student writes an equation of each. It is on 1 page for easy printing.

There are 5 assignments that incorporate all 6 trig functions

Assignment #1 is 4 graphs. 1 is a sinusoid, 1 is a sec/csc graph, 1 is tan/-cot and 1 is cot/-tan. The student is asked the following:
1. The vertical shift (centerline)
2. The vertical stretch (height)
3. The period
4. The horizontal stretch factor
5. The phase angle if a transformation of y=sinx
6. The phase angle if a transformation of y=cos x
7. The phase angle if a transformation of y=-sinx
8. The phase angle if a transformation of y=-cos x
9. The phase angle if a transformation of y=tanx
10. The phase angle if a transformation of y=cot x
11. The phase angle if a transformation of y=-tanx
12. The phase angle if a transformation of y=-cot x
13. The phase angle if a transformation of y=secx
14. The phase angle if a transformation of y=csc x
15. The phase angle if a transformation of y=-secx
16. The phase angle if a transformation of y=-csc x
It is on 1 page for easy printing and coded for SMART Response.

Assignment #2 is like #1

Assignment #2A is like #1 and can be used at socrative.com The socrative share number is included in the file.

Assignment #3 is 4 graphs and the student is asked to write an equation for each graph with all possible transformations.
graph #1 is a sinusoid and the student is asked to write 4 equations. Once each as a transformation of y=sinx, y=cosx, y=-sinx and y=-cosx.
graph #2 is a sec/csc and the student is asked to write 4 equations. Once each as a transformation of y=secx, y=scsx, y=-secx and y=-cscx.
Graph #3 is a tan/-cot. The student is asked to write 2 equations. Once each as y=tanx and y=-cotx.
Graph #4 is a cot/-tan. The student is asked to write 2 equations. Once each as y=-tanx and y=cotx.

Assignment #3A is like #3

Thank you for looking

Key Word Search Phrases and items in this file:

Local Minimum
Local Maximum
Increasing Interval
Decreasing Interval
Inflection Point
Asymptote
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Teaching Duration
2 Weeks
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