Inverse Trig Functions & Solving Equations on a Limited Domain for SMART

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Included in this zip folder are 8 SMART Notebook files. 2 are instruction files and 6 are assignments. A brief description of each:

Instruction file #1 is a 35 slide file. There are 17 formative assessment questions over function values and inverse function values. The idea of limiting a domain for reverse mapping is introduced in non-trig functions as well as trig functions.


The instruction file is a 33 slide intro to inverse trig functions. A graph of y=cosx is provided. Points are extracted from the graph. Then the x and y coordinates are switched and the inverse of y=cosx is graphed. The student learns the range of Arccos must be limited in order for it to be a function. In the end it is revealed that in standard Mathematics the range of Arccos is {0,pi] unless otherwise noted.



Assignment A is a 24 question short answer file. The emphasis is finding function mapping and inverse function mapping given:
1. Mapping ovals
2. Graphs
3. Algebraic functions
Sometimes the domain needs to be limited and sometimes it doesn't in inverse mapping. It is on 1 page for easy printing and coded ffor SMART Response.

Assignment B is a 32 question file. Highly accurate graphs of y=cosx and y=tanx are given. The student uses these graphs to find values such as f(150) and f(-225)^2. Also the student is asked to find values such as arccos(1) and actan(sqrt3) on a limited domain. It is on 1 page for easy printing and coded for SMART Response.

Assignment #1 is a 3 section 45 question assignment. The graphs of y=Arccosx, y=Arcsinx and y=Arctanx are provided. The student must answer the following about each graph:
1. Right end behavior
2. Left end behavior
3. The domain
4. The range
5. Types of intervals
6. Is the domain all Real Numbers?
7. Is the range all Real Numbers?
8. Is it bounded below?
9. Is it bounded above?
10. Is it continuous?
11. Does it increase over the entire domain?
12. Is it an even function?
13. Is it an odd function?
14. Does it have an asymptote?
15. Is its inverse a function?
It is on 1 page for easy printing and coded for SMART Response.

Assignment #2 is a 24 question multiple choice file. The emphasis is identifying the rotational quadrants on a limited domain and solving trig equations on a limited domain. It is on 1 page for easy printing and coded for SMART Response.

Assignment #3 is a 15 question multiple choice assignment. The emphasis is solving a trig equation on a limited domain. It is on 1 page for easy printing and coded for SMART Response.

Assignment #4 is a 15 question multiple answer file. The domain of each equation is [0,360). The student must identify all the solutions on the domain. This assignment can be used at Socrative.com and the share number is included in the file. It is on 1 page for easy printing and coded for SMART Response.

Thank you for looking
Total Pages
33
Answer Key
Included
Teaching Duration
4 Days

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Inverse Trig Functions & Solving Equations on a Limited Do
Inverse Trig Functions & Solving Equations on a Limited Do
Inverse Trig Functions & Solving Equations on a Limited Do
Inverse Trig Functions & Solving Equations on a Limited Do