Weekly Reflection - 11/26

Recursive, Explicit, And Sigma Notation

I was able to understand recursive and explicit forms. I was able to understand sigma notation for series. 

the rule to determine whether it converges or diverges is 

Here is an example of explicit form and a problem we worked.

One misconception I had was making sure I did my calculations right. I overcame this misconception by practicing problems like these. 

EQ: How do you determine weather a sequence converges or diverges? 

That is how you would know.

Weekly Reflection - 11/16

Arithmetic And Geometric Sequences And Series

I was able to understand arithmetic and geometric sequences and series.

Here is an example of arithmetic 

Here is an example of geometric sequence 

This whole lesson is a misconception for me. I still don't really understand yet.

EQ: How do I find an arithmetic or geometric sequence? Geometric or arithmetic? You use your formulas and plug in the numbers then solve.  

Weekly Reflection- 10/22

Power Functions 

I was able to identify the constant variation and the power of functions also the domain and range, end behaviors, intercepts, and ROI and ROD. 

In these examples we boxed the constant variation in blue boxes. We identified the power of each example in the green boxes above. It's easy spot the constant variation and power of a function. In the other example you see how we found the domain and range,end behaviors, roi and rod, and determined if it was continuous.

One of the misconceptions I had with this lesson were the end behaviors and roi and rod. I did fully overcome this misconception. 

EQ: How do you determine domain and range? You determine domain and range by using your equation. 

Weekly Reflection - 10/15

Graphing Piecewise Functions 

I was able to evaluate, write and graph piecewise functions.

We graphed the function by using the constraints that were given to us.  The highlighted tables are the ones we used to graph.

One misconception I had was making sure I used the right constraints that fit my equations. I didn't really overcome this misconception.

EQ: What strategies do you use when creating your piecewise function? You use the constraints to help you out. 

Weekly Reflection - 10/9

Graphs of Sine and Cosine

I was able to identify properties of  sine and cosine graphs and graph them.

In this example we graphed the equation in that's yellow. Before we graphed we had to find the amplitude(A) and the period(P). You find amplitude by looking at the equation, then as you see from the graph the period is pi/2.

One misconception I had during this lesson was making sure i plugged in the right information and got the right numbers. I overcame my misconception by practicing the problems.

EQ: How do I transform the graphs of trigonometric functions? By using the formulas, plug in your numbers into the equation, work the formula and then graph your answer. 

Weekly Reflection - 10/1

Unit Circle Trig

I was able to use the unit circle to find trig ratios.

Here is a picture of the unit circle and the points. Basically you would use this circle to answer the question you were asked.

One misconception I had with unit circle trig was remembering the radians. I overcame this misconception by studying the unit circle. 

Essential Question : What are the different characteristics of trigonometric functions ?

Here are the different trig functions and their characteristics.