Introduction
Good morning grade elevens!
We are going to design and create our own game tokens.
Overall Objectives:
To represent, in a variety of ways, two-dimensional shapes and three-dimensional figures arising from real-world applications, and solve design problems.
Lesson Goals:
1. I can represent three-dimensional objects using concrete materials and design or drawing software
2. I can solve design problems that satisfy given constraints
Task
You will be planning, measuring and creating a complex 3D shape of your choice and then printing it. When we play board games for the probability unit, you will be able to use it as a token. Click on the links and answer the questions. Don't forget to show your work.
Process
Be creative!
Design
1. Start by using Tinkercad to create your token. This will be a 3D composite shape including at least three of the following shapes:
prism, cylinder, pyramid, cone, sphere. One of the shapes must be a hole in the object. All the dimensions must be a minimum of 43cm and a maximum of 7cm.
Design your token here: https://www.tinkercad.com/
If you need a refresher on how to use Tinkercad before you begin your design, start at this link:
Printing
2. Once complete, download your object as an STL file and submit to the 3D printer.
While you wait for your token to print, you can start on your...
Calculations
If you need help doing those calculations, you can look here for a review: https://www.khanacademy.org/math/geometry-home/geometry-volume-surface-area
3. Once you have completed your design, calculate the surface area and volume of the composite shape.
4. Look at this chart and decide what material you would choose to make the token out of. (eg. PLA, ABS, PETG etc.)
5. Explain why you chose that material.
6. Calculate the weight of your token using the density of your chosen material. (It is listed in the chart).
7. Calculate the cost of your token using the information from the chart.
8. Show your design to a partner and have them check your results by repeating your calculations.
9. How did changing the dimensions of your shape affect the volume and surface area?
Your token should be ready by now, it is time to do some...
Measurements
10. Use the scale at the back of the class to measure the weight of your printed token.
11. Use the method in this video to calculate the volume of your token. Use the containers at the back of the class.
12. Use your answers to calculate the density of your token.
Predictions
13. What type of material do you think our 3D printer uses? Explain your answer.
14.
Evaluation
| Components | Level 1 | Level 2 | Level 3 | Level 4 | Comments |
|---|---|---|---|---|---|
| Design | More than two design elements missing | Missing two design elements | Includes three 3D shapes plus a hole | Includes extra design elements. | |
| Calculations | Major errors. | Some steps missing, or large errors | All steps shown, with little or no minor errors | All steps shown, with no errors. | |
| Measurements | Major errors. | Some steps missing, or large errors | All steps shown, with little or no minor errors | All steps shown, with no errors. | |
| Prediction | Explanation not clear or missing. | Explanation has some gaps | Complete, clear explanation | Complete explanation demonstrating mathematical process. |
Conclusion
Congratulations! Show off your token to the rest of the class.
Teacher Page
Teacher notes:
If you do not have access to a 3D printer, students can instead build their designs out of Lego and then modify the measurements to match in Tinkercad.
Delete/edit before assigning to students: The density of Lego is 0.565 g/cm3.