Portfolio Problem- Quadratic Equations

For my portfolio problem, I chose to do the desmos called Parabola Slalom.  In this desmos, we had to create quadratic equations that fit through gates. You can see an example below.

In this desmos, I learned how different factors of an equation affect the graph. I also learned when it would be beneficial to use different forms, such as vertex or factored.

Throughout the activity, I made many mistakes in my equations. Most of the time I forgot to make my x negative to have the parabola pointing down. Other times I would make the graph too narrow or too wide. Overall, I enjoyed the activity and I would not change how I completed it.

Portfolio Problem- Equations and Inequalities

For our portfolio, we were given four options. I chose to do a desmos. In this desmos, we were tasked with predicting where two cars would meet.

First we were not given a number line, or the speed at which the cars were moving and were forced to make an educated guess.

Screen Recording 2019-04-23 at 10.39.59 AM-1qqmyub

Next, we were given the amount that it traveled after 4 seconds, and a number line.

After making our predictions, we were given the answer.

Screen Recording 2019-04-23 at 10.42.11 AM-1fiq383

The answer was 50.

In this activity, I learned how to use inequalities in real-life situations. I made some mistakes in my estimating, mostly because I didn’t create an equation at first and I just counted where they would be after every second. After creating the equation, I was able to easily figure it out. If I did this activity again, I would create an equation first for my estimating. I enjoyed the activity.

Taco Cart- Portfolio Problem

Our portfolio problem was to find out which friend traveled faster to a taco cart.

However the distance of one friend(ben) was not given to us, so I had to use pythagorean thereom to figure out the triangle’s hypotenuse(ben’s distance).

After that I had to figure out how fast they walked so I divided ben’s distance by 2, because he walks 2 feet per second on sand. Then I converted that to minutes. I did the same for me except I divided 325.6 by 2 and 562.6 and added them together. I then converted those seconds to minutes.

You can see my all my work in the image below. Ben traveled for 5:25 minutes, and me traveled 4:35 minutes. Meaning that me’s route was faster.