Weekly Reflection 9/28

Angles and Their Measure

Objective: Students will be able to find co terminal and reference angles. Students will also be able to find the arc length and area of a sector.

Example: Find a co terminal and the reference angle of 400 degrees.

 In order to find a co terminal angle, you must simply add or subtract 360 degrees from the original degree number. In this case it could be: 40°, 760°, -320°... and so on.  To find the reference angle, you must subtract from 180, 360 or the opposite depending on the quadrant in order to get the angle between 0 degrees and 90 degrees. However, you must first find a co terminal angle that's between 0 and 360 degrees in order for it to be in a quadrant. in this case subtracting 360 from 400 gives me 40 degrees, and I already have my reference angle. 

Analysis

My misconception was that the reference angle was always a co terminal angle

I overcame this misconception by doing my own research and studying at home using outside sources and came to the conclusion that its not always the case. 

Essential Question 1: How do I measure angles and put them in standard position?  

Answer: An angle is in standard position in the coordinate plane if its vertex is located at the start and one ray is on the positive x-axis. 

 Essential Question 2: What are radians and how do they relate to degrees and trigonometry in general? 

 Answer: It is a unit of angle, one radian equals 180 degrees. 

Comments

Post a Comment

Popular posts from this blog

Weekly Reflection 11/23

Image
Arithmetic and Geometric Sequence and Series Objective: I will be able to evaluate arithmetic and geometric sequences and series. Analysis My misconception was that a common difference was for geometric and arithmetic. While using the formulas I realized that ratio was for geometric. Essential Question:  How do I find a given term in an arithmetic or geometric sequence?  How do I find the sum of an arithmetic or geometric series?   By using the formulas provided on your formula sheet. 
Read more

Weekly Reflection 11/30

Image
Recursive, Explicit and Sigma Notation  Objective: I will be able to understand recursive and explicit forms. Students will also be able to use sigma notation for series. In example one, the sequence diverges because the ratio is greater than one. You can determine the ratio by putting the the 2nd over the 1st. Analysis My misconception was that if the the ratio is greater than one it conerges, but its really the oppostie.  Essential Question: How do you determine whether a sequence diverges or converges? You can determine by looking at the ratio. If the ratio is greater than one it diverges, and if the ratio is less than one it converges.
Read more