Weekly Reflection - 9/28

Arc Length And Area Of A Sector

I was able to find arc length and the area of a sector.

In this example we finding the arc length by plugging the numbers into the equations. The equation for arc length is 

My misconception: One of my misconceptions was finding arc length. I have not over came this misconception yet.

EQ: What are radians and how do they relate to degrees and trigonometry in general? 

Radian is a unit of angle equal to an angle at the center of a circle. Radians measures an angels distance and degrees is basically the length of how far the circle goes. 

Weekly Reflection - 9/21

Co-terminal Angles, Degrees/Minutes/Seconds

I was able to find coterminal and reference angles. 

In this example we found the coterminal and reference angles of these 2 equations.

My Misconception: One of my misconceptions in this lesson was finding the reference angles. I over came this misconception by doing more problems like this and practicing. 

EQ: How do I measure angles and put them in standard position?

To measure the angle you need the midpoint and vertex and basically start from zero. The standard position would just be putting it in radians/degrees by using your unit circle.

Weekly Reflection - 9/14

Evaluation And Conversion Of Radians And Degrees

I was able to evaluate trigonometric expressions and convert between radians and degrees.

In these examples we plugged the equations into the calculator. Each example uses a different trig function.

My misconception: A misconception from this lesson was the different equation when solving for secant, cosecant, and cotanget. I overcame this misconception by doing more equations involving those trig functions.

EQ: To convert from degrees to radians you use this equation: 360/ Pi
        To convert from radians to degrees you would use 180/Pi

Weekly Reflection - 9/7

Trigonometric Ratios

I was able to find trigonometric rations of acute angles.

With this example we were finding sine,cosine, and tan of the small and big triangles and seeing if they were similar, which they were.

One misconception i had were the drawings for the word problems and if the numbers were in the right place. To over come this misconception I would reread the problem a few times to make sure I understand it then draw it.

Essential Question Answer: I use Soh-Cah-Toa to remember how to do the functions.

Weekly Reflection - 8/31

Exponential Word Problems

I was able to solve problems using compound interest. 

Example: 

Find the accumulated amount of money after 5 years if $4300 is invested at 6% per year compounded quarterly. Find the growth factor. 

Essential Question: 

How much will your dream car be worth in 5 years with continuously compounded interest? 


My dream car will is worth 1,335,201.34 
A= 1,335,201.34
P= 109,600
R= .07
T=5


My misconceptions for this lesson : My misconception was almost the whole lesson I didn't really understand any of it. I did not get over this misconception.

Weekly Reflection - 8/24

Logarithmic Functions

I was able to convert logarithmic and exponential equations. 

Essential Questions: 

• How are exponential and logarithmic functions related? 

Exponential and logarithmic functions are inverse of each other.

Example: 

• How do you convert logarithmic functions to exponential functions? Exponential to Logarithmic? 

You would use the around the world method. 

Example: 

1. My misconception was relating logarithms to exponents. I overcame this misconception by practicing more problems like this.