Sneakonomics

CollaborativeLearning

PeerTutoring

CooperativeLearning

Model-ElicitingActivities

Problem-BasedLearning

Active Learning

Peer-AssistedLearning

Deborah Kozdras Christine Angel Danger

Designed as “thought-revealing activities” for students (Lesh, et al, 2000)

“The problems that we face in our ever-changing increasingly global society are multidisciplinary, and many require the integration of multiple STEM concepts to solve them.” (Roehrig, Moore, Wang, & Park, 2012)

“The problems that we face in our ever-changing increasingly global society are multidisciplinary, and many require the integration of multiple STEM concepts to solve them.” (Roehrig, Moore, Wang, & Park, 2012)

The models created include procedures for doing things and, more importantly, metaphors for seeing or interpreting things (Mousoulides & English, 2011).

The activities are such that student teams of three to four express their mathematical model, test it using sample data under the possible engineering constraints, and revise their procedure to meet the needs of their client (Lesh and Doerr, 2003; Mousoulides et al. 2008).

Reading - Key Ideas and Details: Read closely to determine what the text says explicitly and to make logical inferences from it; . .

Reading - Integration of Knowledge and Ideas: Integrate and evaluate information presented in diverse media. . .

Speaking and Listening - Comprehension and Collaboration: Prepare for and participate effectively in a range of conversations and collaborations . . .

Speaking and Listening - Comprehension and Collaboration: Integrate and evaluate information presented in diverse media and formats . . .

Speaking and Listening - Comprehension and Collaboration: Evaluate a speaker’s point of view, use of evidence . . .

Speaking and Listening – Presentation of Knowledge and Ideas: Present information, findings, and supporting evidence such that listeners can follow the line of reasoning . . .

Speaking and Listening – Presentation of Knowledge and Ideas: Make strategic use of digital media and visual displays of data to express information and enhance understanding of presentations.

THOSE SHOES

Reading Passage 1Jeremy Jones1126 Foot PathTopeka, Kansas 65764 Dear Students,My name is Jeremy and I am having a hard time choosing which shoe to get. My grandma is going to buy me one pair of shoes for school. This is where your help is needed. I need you to look at the data table and rank the shoes from best to worst. I really want to get the best shoes I can. Please write me back soon to let me know the ranks of the shoes and how you chose them. Thank you,Jeremy

Data Set 1

Letter Template 1 Dear Jeremy, Our team, ______________________________________________________, has determined that you should pick ________________________________________. The order from best shoe to worst is:____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Our plan for ranking is______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Sincerely,

Reading Passage 2Jeremy Jones1126 Foot PathTopeka, Kansas 65764 Dear Students,Thank you for looking at the data table and rank the shoes from best to worst. I just found some other pairs of running shoes that I want you to look at. Will the system you came up with for the first set of data work for this set of data? Please rank this set of data from best to worst and tell me why you ranked them that way. I look forward to finding out which shoes I should get!Thank you,Jeremy

Data Set 2

Letter Template 2 Dear Jeremy,Based on the new data table our team, _______________________________ has now determined that you should pick ________________________________. The order from best shoes to worst is: ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Our plan for ranking is ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Our plan has (changed from/stayed the same) because:__________________________________________________________________________________________________________________________________________________________________________________________________________________Sincerely,

JEREMY’S SHOES

Reading Passage 1Jeremy JonesThose Shoes, FL Dear Students, I need your help! My feet are growing and the shoes Mr. Alfrey gave me are getting too tight. I need you to help me pick out a new pair of shoes. White shoes are cool, but I also like the colors blue and red. Also, I just learned how to tie my shoes so shoes with laces are ok. I have $45 to spend on my new shoes. I like to run and I also need to be able to wear the new shoes to school. Please help me find a new pair of shoes that I can be proud of. When your team finds the pair of shoes for me, write me a letter and tell which shoe you chose and why you chose them. Your friend, Jeremy

Data Set 1

Letter Template 1Dear Jeremy, Our team chose ______________________ as the best shoes for you. We chose _______________________ because ________________________________________. Your Friends, Team _______________

Reading Passage 2Jeremy Jones Dear Students, Thank you for picking out the cool new shoes! I have some good news. My grandma just gave me $30 to add to my $45 so now I have $75 to spend on a new pair of shoes! Please help me find a new pair of shoes with a price greater than $45 but less than $75. I also found another type of shoes for you to choose from. Also, a couple of the prices on the shoes have changed. When your team is finished, please write me back and tell me which shoes you chose and how your team made your decision. Your Friend, Jeremy

Data Set 2

Letter Template 2Dear Jeremy, After reviewing the new data, our team chose ______________________ as the best shoes for you. We chose _______________________ because ________________________________________. This (changed/stayed the same) because

Your Friends,

Team _______________

Jeremy’s Shoes

Reading Passage 1

Jeremy Jones1150 Main StreetTampa Fl 33355 Dear Students, I need your help! My feet are growing and the shoes Mr. Alfrey gave me are getting tight. I just got a job walking dogs and will be able to buy myself a cool new pair of shoes. I will be paid $10 every week starting this week. When I have enough money to buy shoes I will get them. I need you to help me pick out my new pair of shoes. White shoes are cool, but I also like the colors blue and red. Also, I just learned how to tie my shoes so shoes with laces are ok. I need shoes that I can wear to school and run and play in. I would like to get them as soon as I can. Please help me find a new pair of shoes that I can be proud of. When your team finds the pair of shoes for me, write me a letter and tell which shoe you chose and why you chose them. Your friend, Jeremy

Data Set 1

Letter template 1

Dear Jeremy,Our Team, ________________________, has reviewed all of the data provided by you and created a list in order from "best to worst" of shoes that are best for you. The order is as follows:

We chose _______________________because:_______________________________________The procedure we used to determine the order was:This was similar/different from our first choice because:

Yours truly,

Reading Passage 2

Jeremy Jones1150 Main StreetTampa Fl 33355 Dear Students, Thank you for picking out the groovy new shoes! I have some good news. My grandma just gave me $30 to add to the money I am earning! Now I will be able to buy my shoes sooner! I found another type of shoes for you to choose from. Also, a couple of the prices on the shoes have changed. When your team is finished, please write me back and tell me which shoes you chose and how your team made your decision. Your Friend, Jeremy

Data Set 2

Letter Template 2Dear Jeremy,Our Team, ________________________, has reviewed all of the data provided by you and created a list in order from "best to worst" of shoes that are best for you. The order is as follows: We chose _______________________because:_______________________________________The procedure we used to determine the order was: Yours truly,

MEA Lessons

Formative Assessment Prior to Lesson

Formative Assessment Prior to Lesson

Reading Passage 1

Happy Feet Footwear

Dear Students, It has been brought to our attention that there is a need for a store that sells affordable, high quality shoes at low prices. Many families cannot afford the high prices of sports specialty stores and department stores. Our company sells three types of shoes (sandals, sneakers, school shoes) to be used for all kinds of activities. Buying large quantities of only a few types of shoes allows us to sell only the best brands at the lowest possible prices.Our new store is opening in Tampa, Florida and has hired you to create an inventory list of different types of shoes for their grand opening. We want you to look at our customer reviews and the types and amounts of shoes that have been sold. We want to have 300 shoes in our inventory. You will need to make a list of shoes and determine how many of each type of shoe should be ordered. Comfort, durability, appeal, and cost to the consumer are all important to us since we want our customers to come back and shop again! We also do not want to have a lot of inventory left over because if we do the store will be losing money!Our goal is to provide cool, comfortable shoes that kids will like and all parents can afford to buy. We have put important information on the next page. Please write me back to let me know what inventory the store should have for their grand opening and how you created the inventory. Please write the number and the fraction for each type of shoe along with your reasons. Thank you!Happy Feet Footwear

Data Set 1

Letter Template 1Dear Happy Feet Footwear,

Our team, _______________________________, has determined that the ______________________ is the best shoe for your store. We chose these as the best shoe because:

Our procedure for determining the order of our ranking:

Sincerely,

Reading Passage 2

Happy Feet Footwear

Dear Students, Thank you so much for creating the inventory for our client’s grand opening! Great news! Happy Feet Footwear has just added a fourth type of shoe to sell in our Tampa store. We feel that customers in Tampa would like to buy boots for cold weather days and trips to colder climates! Please recalculate your inventory to include boots in the stores’ grand opening. To include the boots, we will increase our inventory to 350. Remember that comfort, durability, appeal, and cost to the consumer are all important to our client and they do not want to have a lot of inventory left over because the store will be losing money! We have put the new information on the next page. Write me back to let me know what inventory the store should have for our grand opening and how you created the inventory. Remember to write the number and the fraction for each type of shoe along with your reasons. Thank you!Happy Feet Footwear

Data Set 2

Letter Template 2Dear Happy Feet,Using all of the new information as well as the old, our team, _______________________________, has determined that the ______________________ is the shoe. Below, please find the ranking for the other shoes._________________________Our procedure for determining the order of our ranking is below.

Some new information that we considered was__________________________________________________________________Sincerely,

Kudos for Kicks

PretestName:___________________________ Date:__________Pretest for Subtraction and Multiplication: $126.99 - $38.14 = $135.24 x 23 = 3,105 $154.20 - $81.34 = $86.34 x 29 = $202.57 - $55.99 = $287.14 x 49 =

Reading Passage 1Dear Students, Our discount shoe company recently opened in your area. We would like to hold a “Grand Opening Promotion - One Day Blow-Out Sale” to help attract new customers and build sales. The promotion will feature all of our most popular athletic footwear. We know how excited our customers will be to get their favorite “Kicks” at a discounted price! We need your help in determining which Famous Brand Sneaker we should promote for our One Day Sale. Our goal is to increase the amount of new customers, as well as increase our sales and profits during the One Day Sale. We would like your team to calculate the Total Profit Margin per pair as well as, the Total Sales Potential Profit margin determined by the number of sneakers in stock. We also would like your team to develop a step-by-step procedure for ranking our Famous Brand Sneakers to see which one will provide the most profit, as well as bring in the most customers. Again, we would like you to consider the following criteria when developing your ranking procedure: comfort and durability, along with the profit margin per pair and the total potential profit margin determined by the number of sneakers available in stock. Please rank our Famous Brand Sneakers from 1 to 5 according to the above criteria. Remember, our goal is to increase our sales and profits while building up our customer base. Please write a letter back to us listing your step-by-step procedure for ranking our Famous Brand Sneakers. Also, include how you decided which one we should feature for our One Day Blow-Out Sale and why. Be detailed in your procedures and reasons. Thank you in advance for your efforts to help our company! Sincerely,

Data Set 1Texture:

glossy and smooth or

dull and slightly rough

Shiny

Durability-How thick and heavy is

the card? (This is measured by the mass of the card, the more

mass the more durable the card)

Measured in grams

Color scheme and brightness

of cards

(1-5, where 5 is the brightest or most colorful)

Size Cost of the Trading cards- per package

Glossy, smooth

4g 3 7cm x 9cm $4.00

Dull, paper like feel

7g 5 9cm x 12cm $4.00

Glossy and shiny with foil

7g 4 7cm x 9cm $6.50

Glossy back, paper like

front

9g 4 6cm x 8cm $8.00

Slightly rough 7g 3 7cm x 9cm $3.00

Answer Key 1

Letter Template 1

Reading Passage 2 Dear Students, Thank you for all your hard work in ranking our famous brands. I can tell you put a great deal of thought into it. Unfortunately, there has been a change in the selection of our Famous Brand Sneakers. One of the brands sold out this past weekend due to the half-mile marathon on Saturday; therefore, I have removed it from the list. I decided to include two other Famous Brand Sneakers for you to choose from. I also was able to acquire additional stock from one of our other stores. Our “Grand Opening Promotion - One Day Blow-Out Sale” is scheduled for this upcoming Saturday. We know this does not give you a lot of time to make the new calculations necessary. You will also need to determine if your procedure for choosing the best brand to feature still works. If not, please develop another step-by-step procedure based on the new criteria. Remember to calculate the Total Profit Margin per pair as well as, the Total Sales Potential Profit margin determined by the Total number of sneakers now in stock and also for the two additional brands. Please develop a second step-by-step procedure for ranking our Famous Brand Sneakers to see which one will provide the greatest profit, as well as bring in the most customers. Please rank our Famous Brand Sneakers again from 1-6 according to the new criteria. Please write a letter back to us listing your new step-by-step procedures for ranking our Famous Brand Sneakers. Also, include how you decided which one we should feature for our One Day Blow-Out Sale and why. Be detailed in your procedures and reasons. Once again, thank you in advance for your efforts to help our company! Sincerely,Mr. Tom TrackPresident Discount Shoes and More

Data Set 2Texture: glossy and smooth or dull and slightly roughShiny

Durability-How thick and heavy is the card? (This is measured by the mass of the card, the more mass the more durable the card)Measured in grams

Color scheme and brightness

of cards

(1-5, where 5 is the brightest or most colorful)

Size Scented Cost of the Trading cards- per package

Glossy, smooth 4g 3 7cm x 9cm no $4.00

Dull, paper like feel

7g 5 9cm x 12cm no $4.00

Glossy and shiny with foil

7g 4 7cm x 9cm yes $6.50

Glossy back, paper like front

9g 4 6cm x 8cm yes $8.00

Slightly rough 7g 3 7cm x 9cm no $3.00

Glossy, smooth 4g 3 3.5cm x 4.5cm no $3.00

Glossy and shiny with foil

7g 4 3.5cm x 4.5cm yes $5.50

Letter Template 2

Extensions

– Entrepreneurship: To satisfy the economic standard dealing with entrepreneurship, bring students back to the page where Jeremy visits the thrift store. Ask: Who owns the thrift store? Someone who owns a business and sells their goods or services to others is an entrepreneur. Do you know other entrepreneurs? Do some research and find some Florida entrepreneurs. What good or service do they provide?

– Entrepreneurship and Properties (Science): Consider shoe design. Jeremy missed an opportunity to become an entrepreneur. He could have done something to make the animal logo shoes cool. He could have decorated them himself. Maybe he could have even created some to sell! Design a pair of shoes. Also consider the physical properties of texture, weight, color, size, shape.

– Provide a percent discount for students to calculate for each individual pair of sneakers and also for the total potential sales.

Sneaker Freaks: Write a Review of Your Sneakers

Great Sneaker Design Challenge Lesson

http://www.cpalms.org/Public/PreviewResourceLesson/Preview/72432

Supplemental Reading Engineering Sneakers Bioengineers are involved in the design of sneakers. They combine their knowledge of the human body with mechanical engineering and materials science to design sneakers that aid athletic performance. The shoes must provide the right type of support and traction needed for the intended sport while also taking into consideration their appearance. Sneakers originated in 1908 and were comprised of rubber soles with canvas uppers. The Keds™ brand was introduced in 1917. In 1922, the idea to create different models for different needs was introduced. The health and fitness movement of the 1970s created a high demand for sneakers by the public, and in 1979 the concept of cushioning air bubbles in the sole was introduced. Since then, advancing capabilities and creation of new materials has resulted in highly specialized (and expensive) sneakers. The design of today's sneakers is an engineering science that combines physics and biomechanics. Engineering design utilizes materials that provide durability, comfort, cushioning and stability. Good designs also consider the type of foot (female, male, child) since each has different characteristics. Another component in the design is the consideration of which sport the shoe will be used to play. Each sport has different footwear requirements. Some need high flexibility, others maximum cushioning or high levels of friction. In addition, the foot structure is considered as well. Women's feet have a different shape than men's feet and children's feet are shaped differently than adult feet. The inside layout of a well-designed sneaker takes these physical differences into account.

All Star Student

Accompanying Informational Text • Accompanying Informational Text: To Market to Buy Those Shoes• After reading the story, use the text to have students understand how

the market economy works today (in terms of shoes) • Explain how buyers and sellers use trade and money when buying

shoes.• Think about how people got shoes in the past. Do some research and

discuss how Native Americans got shoes? Did they have stores a long time ago? If they didn’t, how did they get shoes? Did they have money? If not, what do you think they used to trade for shoes?

• http://www.nativetech.org/clothing/moccasin/moctext.html • What about people living in Colonial America? Read through the

articles. Compare and contrast the shoe store experience in Jeremy’s shoes with colonial times. http://www.history.org/Almanack/life/trades/tradesho.cfm

• http://www.history.org/history/teaching/shoemkr.cfm

To the Market to Buy Those Shoes

Look at your shoes. Do you wonder who made the decision to make them? Who decides what shoes will be produced? Who decides how the shoes will be produced? Who decides who will get shoes? In the U.S.A. we have a free market economy, which means people can freely buy and trade goods and services. Prices of the goods or services are not determined by the government. Rather, prices are determined by people, like you! The price of shoes is determined by the interaction of supply and demand. Supply is a measure of how many goods or services are available. For example, In Those Shoes the shoe store had a large supply of the shoes. Demand is a measure of how many people want to buy a particular good (things you can touch) or service (things people do for you). In the story Those Shoes all of the kids wanted a pair of the black high-tops with two white stripes. When a lot of kids want something, we say there is a demand for the good. Consider “those shoes” that Jeremy really wanted. When more people demand shoes, the price goes up. Why were “those shoes” expensive? How do you know they were expensive-provide evidence from the text?During the story, Jeremy and his grandma went to different types of shops or product markets to buy shoes. They went to a regular shoe store and they also visited a thrift shop. What is a thrift shop? Here is a clue. On page 19, the third shop Jeremy and his grandma visited was called Rerun Thrift Shop. The goods in the shop are being recycled and are ready to be taken on a rerun with someone else.At Rerun Thrift Shop they found only one pair of those black high-tops. Why do you think there was only one pair of those black high-tops at the thrift shop? Think about supply and demand again. We know the shoes are in demand, so not many people will want to sell or give them away to a thrift shop. There was a low supply because people weren’t trying to get rid of those shoes.So we know that today in a market economy people like Jeremy and you can freely buy and trade goods and services. The market supplies goods and services because of the demand of people like Jeremy and you. The shoes are produced by workers in a factory and shipped to warehouses so they can be distributed through stores or through Internet shopping.Now that you know how the market economy works today, consider how people got shoes earlier in history. What about the early Native Americans in Florida? There were no stores so how did they get shoes? How about people in Colonial America? Put yourself in someone else’s shoes and do some research.

Letter 1 Dear Engineering Team, My name is Coach Smith and I have my own track team called “All-Star Track Runners.” I have been coaching for ten years and my runners want to make a change. We are trying to see which shoe is the best one for running. We are looking at how long the shoes lasts, how runners rate the comfort of the shoe, the mass of the shoes, the texture of the tread on the shoes, how well air flows through the shoes to cool the feet, and the cost of the shoes. The texture of the bottom of the shoe is especially important to my runners on days when the track is wet. Poor traction can cause runners to slip and fall. Good airflow helps sweat to evaporate, keeping runner’s feet cooler on hot days.I hope you can write a letter back to me telling me the process on how you decided how to rank the shoe from best to worst. Also, we measure running distance in meters, but the data we received from the shoe manufacturers is in kilometers. If you can convert meters to kilometers, it will help some of the runners understand the information better. In your letter, make sure you describe the process on how you decided how to rank the shoe from best to worst. I look forward to hearing back from you!Sincerely, Coach Smith

Data Set 1

Letter back to client 1Dear Coach Smith, Our Team, _________________________, has determined the ranking for the shoes is as follows: 1) ____________________________, 2) ____________________________, 3) ____________________________, 4) ____________________________. Our first choice was _______________________because: This is the procedure we followed for making our decision: ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Sincerely,

Reading Passage 2Hello, Thanks for helping me pick the right shoe for my team. The information in your letter was helpful. I was able to include two more shoe brands, which may help in deciding if we are keeping the same ranking in the shoes or if we have to change it. My runners often practice running early in the morning before the sun is out. Reflective sneakers help motorists to better see the runners and keep runners safer. I was also able to get information on the shoe colors and whether they are reflective, but I don’t know if you will need this information. Will your original process still work with this new data?. Let me know whether or not you make changes to your system of choosing when you write back. If you made changes to your system, or chose a different shoe based on the new data, please make sure to tell me what changes you had to make. Thanks again!Sincerely, Coach Smith

Data Set 2

Letter back to client 2Dear Coach Smith, Our Team, _________________________ (did/did not) have to change our original procedure. The ranking for the shoes is as follows: 1) ____________________________, 2) ____________________________, 3) ____________________________, 4) ______________________. We made the decision for the best shoe by ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Sincerely,

Summative assessment

MEA Lessons