Fibonacci Haiku

Camera

Captures

Important moments

That bring happiness

With a meaning one creates

Every picture is worth a thousand words

Student Problem #6 Unit J Concept 6 Partial Fraction Decomposition with Repeated Factors

• What is this problem about?

This problem demonstrates how to solve partial fraction decomposition but this time with repeated factors. As the problem shows (x+1) ^2 is to the second power which means we count up two times because that is the number of the exponent. If it were to be to the third power then it would be repeated three times.

•  What must the reader pay close attention to in order not to make a mistake?

The reader needs to pay close attention that when a factor is repeated it has to be repeated as many times as the exponent. So, in the problem I did in the picture, I put (x+1) and (x+1) ^2 because the exponent went to the second power. So if there were to be an exponent that was 4 or higher then the factor would be repeated that many times.

Student Problem #5 Unit J Concept 5 Partial Fraction Decomposition with Distinct Factors

• What is this problem about?

This problem shows how to solve partial fraction decomposition with distinct factors. We start off with a decomposed fraction and solve it (like shown in the picture). Once we have it we solve for it using partial fraction decomposition and after doing all the steps our answer should be the same as the decomposed fraction.

• What must the reader pay close attention to in order not to make a mistake?

The reader has to pay close attention that we check and know the answer is right by having our answer equal to what we first started with; the decomposed fraction. Also understand the color coding I’ve done in the problem, which is intended to help understand where the numbers came from when solving.

Nancy M.'s WPP #6 Unit I Concepts (3-5)

Create your own Playlist on MentorMob!

Student Problem #4 Unit I Concept 2 Logarithmic Functions

• What is this problem about?

This problem demonstrates the steps on how to solve for a logarithmic function. It shows how an equation with log affects when solving the x-intercepts and y-intercepts.  It also demonstrates how natural log "ln" is used in solving for the equation and plotting the graph.

• What must the reader pay close attention to in order not to make a mistake?

The reader needs to pay close attention to the answers that you get for the x-intercepts and the y-intercepts. in order to not make a mistake, when you plug in the equation into your graphing calculator go to the table and see if the points match the points you got, and avoid a mistake.

Student Problem #3 Unit I Concept 1 Exponential Functions

• What is this picture about?

This picture demonstrates a problem worked out when you graph exponential functions and identifying the x-intercepts and the y-intercepts. The picture also shows the domain, range, and extra points of the equation. It’s a problem worked out step by step by showing work.

• What does the viewer need to pay special attention to in order to understand the concept?

The viewer needs to pay attention how the a, b, h, and k affect and contribute to finding the rest of the parts of the equation. They need to be aware of the signs and numbers of the equation and how they affect how the graph looks like.

Student Video #3 Unit H Concept 7

• What is this video about?

This video is about Unit H Concept 7 where we work step by step to find the logs when we are given approximations. 

• What does the viewer need to pay special attention to in order to understand the concept?

The viewer needs to pay attention to the extra clue that we demonstrate in the video because it sometimes helps to get to our answer when finding logs. They need to understand what we do and why we do by watching the steps in how we solve it.