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MILESTONE 1, STEPPING STONE 1
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ABOUT THIS STEPPING STONE:
ABOUT THIS STEPPING STONE:
In this Stepping Stone, we will explore real world examples of quadratics, probability, and statistics.
TO DO:
TO DO:
1. Look through the examples below for the 3 different topics in this studio.
2. Reflect on your own life. Where do you think parabolas, probability, or statistics are seen and used in real life?
3. Use the Student Tools below to share your examples. It's okay if they're not perfect! You have not gone through this studio yet. Just put down your ideas.
RESOURCES TO EXPLORE:
RESOURCES TO EXPLORE:
Intro to Quadratics
Intro to Quadratics
When quadratic equations are graphed, the curves that are created are called parabolas. Parabolas are shaped like a right-side up or upside down U. Each of the parabolas in the images below can be modeled by a quadratic equation.
The curve under this bridge is a parabola.
The shape of the cables connecting the towers of the bridge is a parabola.
The McDonald's M is made up of two parabolas.
The path of the water as it moves up and then falls is a parabola.
The smile on this smiley face is a parabola.
Probability
Probability
Probability is everywhere! Below are examples of games that involve probability.
The lottery
Bingo
The Monty Hall problem is a well know probability puzzle where there are 3 doors, two of which have goats behind them. The third has a brand new car. You need to pick which door you want to open. So, you choose a door. Before the door you chose is opened, one of the other doors is opened to reveal a goat.
You are asked if you want to change your choice and pick the other remaining door. Do you change to the other door, or do you stick with the one you originally chose? Which has a greater probability of having the car behind it?
It turns out that switching your choice is the better option. If you stay with your original door, the probability is 1/3 chance of getting the car. After one of the doors is eliminated, switching doors would give you a 2/3 chance of winning the car.
Statistics
Statistics
Collecting, analyzing, and displaying data can be something you do for your own life! The video below shows how two women use statistics regularly to collect data on several different aspects of their lives and behaviors.
STUDENT TOOLS: Share your ideas and examples!
STUDENT TOOLS: Share your ideas and examples!
Option #1:
Take pictures and upload them!
Option #2:
Draw or write your ideas! You can use pencil and paper or any electronic method that you like.
Option #3:
Google your ideas to get photos!
Or type it up!
Or do it another way! Express your ideas however you like.
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