The Taco Cart Problem
Act 1: Watch this movie:
Come up with a question based on this movie and write a guess as the answer to the question.
Question:Guess of answer:
Act 2: Determine the information you need:
What do you think you need to know? ______
Look at thefollowing to get the information you may be looking for. Write down the info:
______
Are there any formulas you need to use? If so write them here: ______
Act 3: Work out the problem mathematically:
Calculate the answer, then click the video to see the video answer. Note: in the real world, predicted results and actual results sometimes are off a little especially with video analysis (that’s ok!) Also, you may have to play the video a couple of time to get the video answers.Pay attention.
Calculated Answer: Video Answer:
______
______
*Prologue 1:We are in calculus and can go beyond just this level of questioning. What question would you think would be a good question to answer? Guess here ________
Consider this video: to answer.
Draw a rough sketch on this picture to where you think a person should walk through the sand before walking on the road. Then draw in all of the dimensions you can!
Work out the answer to both “where do we head to before walking on road?” and “what is the total time to get to the taco cart?” After calculating the answer, draw that path on the following map (to scale using info from the previous page. That means use the information on the distance given from road path to taco cart and measure the distance in cm and come up with a scale)Draw scaled answer on map:
Calculated Answer: “Where do we head to before walking on road?” Distance:______
Calculated Answer: “What is the total time to get to the taco cart?” Time:______
Scale of map on previous page: ______Scale distance of answer: ______
Video Answer Do analysis of video to answerthe questions (which mayslightly differ from calculated):
“Where do we head to before walking on road?” (video analysis is tricky frame by frameish stuff… pause video and use slider bar) You have to first find the time we hit the road and then find how far down the road that is. So… First the time until hitting the road from sand and converting to distance
Video Time:______Corresponding distance: ______
Then realize distance you just found is the hypotenuse in the picture. Use this distance and the known leg distance to find where on the street we intersect it from the sand.
Distance:______
“What is the total time to get to the taco cart?”
Video Time:______
**Prologue 2:Can you think of another question to consider about the taco cart, Ben, and me?
Consider this video:
Write that question here:
Put your guess on the map Then draw in all of the dimensions you can!
Calculate the placement of where the cart would be and write your answer below:
Calculated placement of cart: ______
Put this answer as a scaled drawing on this map:
View this video:
Video answers:
When does Ben reach the new cart location Time:______
Then convert time to distance (that’s tricky too!) Hint: realize distance you find at the above time is the hypotenuse in the picture, you need to use the distance of the hypotenuse and the distance to the road to find the distance down the road the cart is located.
Distance:______
***Prologue 3:
Write but do not solve another question you may come up with considering the taco cart, Ben and me.