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Mikes Guided Tour Transcript
53 Miles Per Burrito
Introduction
So one day I was walking down the street and I saw a guy wearing a brilliant t-shirt. It had a picture of a bike on it with the words "53 miles per burrito" and I was intrigued. I wondered if it was true. So like any good teacher I gave the problem to my students to solve.
Hi. My name is Mike Weirusz. I teach Sustainable Engineering and Design at Inglemoor High school in Kenmore, Washington. I have made it my mission to expose students to meaningful math experiences, and I've just found food ends up being a great hook. So if you're a teacher looking to engage your students with enjoyable and challenging math, you've come to the right place.
For the next few minutes, we're going to work together and figure out how you can bring the 53 miles per burrito project into your classroom. Oh. And see this icon in the upper- right corner? You can click on that at any point during the module for a detailed project plan that you can you download and edit. It includes a step-by-step teaching guide, supplementary materials like worksheets and PowerPoints, and suggestions on how you can condense or expand the project.
Project Preparation
Lets begin by talking about Project Preparation. Go ahead and click on any aspect of my classroom to learn more about how and why I set it up this way. But rest assured that you could easily do this entire project on computers.
Video of Mikes classroom with one student riding a stationary bike, one student eating a burrito, and one student working on an Excel spreadsheet.
If user clicks on the student riding a stationary bike.
I like to have my students physically collect the data for this project because it makes it more of a hands-on experience. I partnered with CycleOps who loaned me all the necessary equipment to measure speed, cadence, and power on a stationary bike. While fun to have these in class, these materials are 100 percent optional.
If user clicks on student eating a burrito.
For this project, students design burritos with the exact amount of calories they would need to ride 53 miles on a bike. And at the end of the project, I have Chipotle come in to help students build their designer burritos. You by no means have to invite Chipotle into your classroom, but my students always get a kick out of it.
If user clicks on student working on an Excel spreadsheet.
This is not a required resource but I highly recommend it. Students can research average data points for their age and weight, instead of collecting data on the stationary bike. And all their data analysis can be done through simple excel formulas.
Implementation
Okay. Now, that youve wrapped your mind around project preparation, let's take a look at implementation. Here are the 5 steps my students take to solve this problem. For the purpose of this guide, we'll look closely at the first 4. When you're ready, click the continue button to learn more about each of these steps.
I'm going to challenge you now to step into your students' shoes for just a few minutes. Imagine your teacher has just posted this question.
Can you ride 53 miles on a bike on the fuel of a single burrito?
Assuming that youre riding your bike in perfect weather on flat terrain, what other factors must you take into consideration when solving this problem? Show what you do and do not know about this question by dragging and dropping each factor into the corresponding box.
The following factors appear on the screen:
Caloric content for each ingredient
How many calories I need
Mode of transportation
How fast I can go and for how longe
What food I can eat
The distance
If user drops options 1, 2, and 4 into the do not know box and options 3, 5, and 6 into the do know box.
Well done. You now have a clear idea of the problem standing before you.
If user doesnt drop options 1, 2, and 4 into the do not know box and options 3, 5, and 6 into the do know box.
That's not exactly right. Lets take a closer look at what we do and do not know about this project. You know that youre being fueled by the calories of a single burrito as you embark on a 53 mile bike ride. So that tells us what you can eat, your distance and mode of transportation. However, you still need to determine exactly how many calories you'll need, how fast and for how long you can ride, and the caloric content of the available ingredients.
You probably noticed that I have provided you with very little information about this problem. Typically math problems give students everything they need to know to solve the problem upfront, but I prefer to let them figure that out on their own. Students often struggle to approach open-ended problems, so I challenge students to brainstorm until they have 3 solid questions that they want to ask me.
Finding your variables
Let's move on to finding your variables. Click on the data you still need to collect in order to answer the question, "Can you ride 53 miles on the fuel of a single burrito?"
User can click on Distance, Power, Speed, and Time.
If user selects Power, Speed, and Time.
Precisely. The variables that you need to solve for are power, speed, and time.
If user selects anything other than Power, Speed, Time.
Not exactly. Lets dig deeper into why we only need 3 of these data points.
Power is a measure of intensity. For this project we'll be measuring in units of calories per hour. You need to determine your average power output in order to calculate how many calories you'll burn on your 53 mile ride.
You need to measure your average speed in order to determine how long it will take you to ride 53 miles.
You need to figure out how long it will take you to ride 53 miles. That number will influence your caloric needs.
Luckily, you don't need to figure out the distance of your ride. That's one of the variables given at the outset of this problem.
Collecting Your Data
With your variables defined, it's time to start collecting data. Obviously, I don't have a virtual bike for you so I have asked some of my students to help us out with this part.
3 videos of students riding on a stationary bike at various speeds appear on screen.
Take a look at each student and click on the one who is riding at the most sustainable speed. Just click on one.
If user selects the student riding at the medium speed.
Absolutely. That student was riding 15 miles per hour, which is a pretty sustainable rate. She would be burning approximately 360 calories per hour.
If user selects the student riding at the slow speed.
The student's riding at 5 miles per hour, which is a fine cruising speed but not very practical. It would take a long time to ride 53 miles. Lets assume you're riding at a more sustainable15 miles per hour and burning 360 calories per hour.
If user selects the student riding at the fast speed.
The student's riding at 25 miles per hour, and that's pretty fast. I can see why you would want to get to your destination more quickly, but you might not be able to maintain that speed for 53 miles. Lets assume that you're riding at a more sustainable 15 miles per hour, which works out to about 360 calories per hour.
Analyzing Your Data
You're only one step away from crafting your personalized burrito. Given the data you've collected from the bike, can you figure out how many calories you'll need to travel? Round your answer to the nearest tenth and type it into the text box here. Click continue when you're ready to move on.
If user types 1,272 calories into the box.
Option 1: Well done. You know the precise caloric content of the burrito you will need to devour before riding 53 miles on a bike.
If user types something other than 1,272 calories into the box.
Not quite. Try again. Consider what you know. You're riding at a speed of 15 miles per hour for 53 miles and you're burning 360 calories per hour. How long will you be on the bike? And how can you use that to determine how many calories you'll need? You know what? I'll be back when you finish.
Now for the fun part: making the burrito. Use this spreadsheet to calculate the necessary caloric content for each ingredient. Once you've created a burrito that will provide you with the calories you need to ride 53 miles. Press the continue button.
Spreadsheet has columns for Ingredients, Calories per serving, Servings, and Calories. The ingredients and calories per serving are given, so the user must select how many servings of each ingredient they want in order to arrive at the correct number of total calories.
If total calorie content is below 1,270 calories.
I'm afraid you're not going to make it 53 miles on this burrito. Keep adding ingredients.
If total calorie content is above 1,300 calories.
I see your looking to go over 53 miles. Ambitious. For this project though, we just need to go 53 miles. Go ahead and remove some ingredients.
If total calorie content is between 1,272 calories and 1,300 calories.
You've just designed the ultimate burrito. You could absolutely ride 53 miles with that as your fuel.
Conclusion
So that's the math behind 53 Miles per Burrito. But the real potential behind this project is its relevancy to students' lives. No matter what class you teach, you can find a way to make this project work in your classroom. Thanks so much for your time. For more information about 53 miles per burrito, go to the Project Plan and if you still have questions, you can ask them on the ADE website forum. Can I get that burrito now?
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