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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

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

Total Pages

N/A

Answer Key

Included

Teaching Duration

2 Weeks