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. 

Weekly Reflection - 8/17

                                                               Domain And Range

I will be able to identify the domain and range of functions and relations.

To find the Domain you need to find the x- values because the domain is x- values. To find the Range you need to find the y- values. In this example You just pull the values out of the Relation. You can also determine whether the relation or table is a function. You would know if it's a function if the x- values don't repeat then it's a function. In this example this is not a function because there are two 2's as x- values. 

One of the misconceptions i had with domain and range were whether you had to put brackets or parenthesis. My teacher told me that you use parenthesis when it is not equal to a number and you use brackets when it is equal to a number. However, if you are dealing with infinities you will always use parenthesis.

How do you find domain and range? You find the domain by locating the x-values. You find the y- values by locating the y- values. 

How do you determine the difference between a linear function and an exponential function?

You can determine whether a function is linear, exponential or neither by plugging your table into the equation. For example the equation for linear is y2 minus y1 over x2 minus x1 and the equation for exponential is y2 over y1.

How do you determine transformations from a graph? How do you determine transformations from an equation?  You can determine on a graph by counting the units that went up or down and then you can see if it was a reflection. You can determine from an equation by seeing if it is adding or subtracting which means it goes up or down. Then you can see if it is multiplying by a number.

Investigation Reflection

1.

This was the easiest because all you do is flip the function over the x-axis. As you can see by the graph.

2.                                                                                                                                             

This was the hardest because you couldn't really notice the change in the graph. Then one point was off of the graph. 

One of my misconceptions with this activity were the asymptotes. I forgot how to do them and I over came this by asking the teacher to explain.