What's For Lunch? - Geometry PBL

PURPOSE: What size tables are to scale in our spreadsheet cafeteria? Your cafeteria is a scale drawing. The cafeteria square footage is locked. Do not add rows or columns to your Google Sheet. IMPORTANT: The scale of the cafeteria is 1 block = 18 inches. You will need to convert all actual measurements to this scale. You will be given the measurements of each type of table. It is your job to figure out how big they are supposed to be in the model cafeteria. Go to the tab for Activity 1. (<a href="https://drive.google.com/file/d/1EdDkZu4HREKqnj8_p9zxpmwsGKCalMZL/view">Teacher Helpful Hint Video</a>)

Choose two people from your group to present your cafeteria redesign.

YOUR MISSION: Redesign the cafeteria! Using scale, surface area, and your critical thinking skills - the cafeteria will be better than ever!

Set the Stage <a href="https://drive.google.com/file/d/1_BbYCsJ5-CzTpAz45FaCbVfBU5lPJZkF/view?usp=sharing">Video</a>

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Materials Needed You will be creating your map to scale on a Google spreadsheet that we will provide. Your group can work on it collaboratively.

PURPOSE: Be prepared to make your case to the judges! Why is your cafeteria the best in style, form, and function?

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Guidelines:&nbsp; Do not block doorways. There should be an entrance and an exit to the cafeteria and an entrance and exit to the serving line. Remember that each block is 18".

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Specifications: You will need room for chairs around your table. (They do not need to be pictured.) Therefore the minimum space between tables = 54" To aid in student traffic there must be at least one aisle space that equals 72" spanning the width or length of the cafeteria. &nbsp;

A Cafeteria Makeover Problem Based Learning Activity

Geometry Draw, construct, and describe geometrical figures and describe the relationships between them. (7.G.1.) Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. (7.G.4.) Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. (7.G.6.) Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. This activity was modified from a subscribed lesson on <a href="https://www.definedstem.com/home">Defined Stem</a>.

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Valerie Hawthorne AIG Facilitator valeriehawthorne@fcschools.net

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PURPOSE: This will add character to your cafeteria. Be sure to include this information in your narrative for the judges.

🌶️1. Create a conversation space for teachers in the cafeteria. The table is round and the seating is cubed. A. What is the diameter of the table? What is the area? B. Decide on the appropriate length, height, and width of your cubed seating. What is the volume? What is the surface area?

🌶️🌶️2. What are material costs? The tables cost $3 per square foot. What is the cost of all your tables? If you order by Friday, you get a 33% discount. How much will you save?

3. 🌶️🌶️🌶️ <a href="https://docs.google.com/document/d/1leXbppGsJlr930R9PVjJ06dbKUdN1BDkHVl9cC21FEg/edit?usp=sharing">CHALLENGE ACTIVITY</a>: Add a chocolate milk fountain to the cafeteria!

Answer these extension activity questions on the correct tab. Choose two of the three to complete. The chili pepper indicates level of difficulty. 

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Current Enrollment CCMS: 579 FMS: 262

Find the area of the tables and the food tray. We want to maximize the amount of students in the cafeteria. A student should have enough space to set down their tray horizontally. DO NOT include a visual representation of the food tray in your cafeteria.

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PURPOSE: Which table or combination of tables should you use? How can you maximize student seating to meet the needs of enrollment?

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Begin placing your tables in the cafeteria. You do not have to account for the serving line or kitchen. This is only the dining space for students that we are redesigning. Make sure to visit additional guidelines on the last page.

Name

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