School Appropriate and Math Related Blog ( ͡° ͜ʖ ͡°)

Trigonometric Ratios Objective: I should be able to find the trigonometric ratios of acute angles. Example: Are these triangles similiar? What theorem proves this? In order to find if the triangles are similar, we can take the lengths of every side and us the trigonometric functions ( Sin, Cos, Tan) to find weather the ratios of the sides of both triangles are the same. In this problem, the ratios were the same, therefore theorem SSS proves the triangles to be similar. (if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent)  Analysis Misconception: One misconception I had was I kept forgetting the trigonometric functions and their ratios. I was able to overcome this misconception by employing different ideas and ways to remember these functions such as SOHCAHTOA (Sin = opposite/hypotenuse)(Cos = adjacent/hypotenuse)(Tan = opposite/adjacent) Essential Question 1: What is your mnemonic device to remem...

Evaluation and Conversion Objective: I will be able to properly evaluate trig functions and convert between radians and degrees. Example: Find the degree measure equivalent of 3pi/4 radians To convert degrees to radians, you want to multiply the (3pi/4) by (180/pi) because 180 degrees equals 1 radian. the pi underneath 180 would cancel out the original pi, leaving you with (540/4). 540/4 leaves you with 135, which is your final answer "135 degrees". Analysis My misconception in the beginning was that pi was used as literal pi (3.14) instead of as a unit symbol for radians.  I overcame this misconception by asking questions and further investigating the lesson to realize otherwise.  Essential Question 1: What is your mnemonic device to remember trig ratios Answer: I use SOHCAHTOA because it helps me the most and was the easiest to grasp.

Evaluation and Conversion Objective: I will be able to properly evaluate trig functions and convert between radians and degrees. Example: Find the degree measure equivalent of 3pi/4 radians To convert degrees to radians, you want to multiply the (3pi/4) by (180/pi) because 180 degrees equals 1 radian. the pi underneath 180 would cancel out the original pi, leaving you with (540/4). 540/4 leaves you with 135, which is your final answer "135 degrees". Analysis My misconception in the beginning was that pi was used as literal pi (3.14) instead of as a unit symbol for radians.  I overcame this misconception by asking questions and further investigating the lesson to realize otherwise.  Essential Question 1: What is your mnemonic device to remember trig ratios Answer: I use SOHCAHTOA because it helps me the most and was the easiest to grasp. Essential Question 2: Explain how you convert from radians to degrees. Explain how you convert...

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...