Introduction
The Jumpstreet Playground is ready to be in full affect! However, it can not be built without your help. To complete this task, you all will be assigned as designers and contractors.
There will be three different parts of the Jumpstreet Playground built. The first part will be a children's tunnel in the shape of a cylindrical hollow tube. Secondly, you will create a children's playhouse in the shape of a cubiod. Lastly, a roof that will be for the children's play house in the shape of a triangular prism. The community is looking forward to seeing the outcome of the Jumpstreet Playground.
Let the magic begin!
Task
You will divide into groups of 4.
Contractors (student 1 and 2): Contractors you will be responsible for discovering the cost of concrete that is needed to design the children's tunnel. Such drawings, calculations, and all work should be written down on a plane white sheet of paper that will be turned in.
Designers (student 3 and 4): Designers you will be responsible for discovering the cost of painting the outside of the roof and the children's playhouse. Such drawings, calculations, and all work should be written down on a plane white sheet of paper that will be turned in.
Continue to proceed for further instructions!
Process
Instructions to contractors (student 1 and 2):
Time alloted: 30 minutes
1. Calculate the volume of concrete material needed to build the children's tunnel with the measurements given above. (Hint: Remember the cylinder is hollow)
2. Also, calculate the cost of concrete material needed, given that, 1 cubic meter of materials costs $250.
3. Use the plane white sheet of paper to show all your diagrams and calculations.
Instructions to contractors (student 3 and 4):
Time alloted: 30 minutes
1. Calculate the volume of paint needed to paint the whole outer surface of the roof and the children's playhouse, given that, 1 liter of paint can cover 3.2 meters squared of the playhouse.
2. Calculate the cost of the paint, given that, 1 liter of paint costs $35.
3. Use the plane white sheet of paper to show all your diagrams and calculations.
Links for the formulas of volume and surface area of cylinders, triangular prisms, and cuboids are given below.
http://www.ducksters.com/kidsmath/finding_the_volume_surface_area_of_a_…
http://www.praczone.com/threedimensionalfigures/triangularprism
http://www.k6-geometric-shapes.com/cuboid.html
Each group will enter all work and diagrams. You may also communicate with your partners. After the completion of your findings, ALL members are requested to do and turn in their reflections at the end of class. All group work will be marked accordingly to the rubric given in the evaluation section.
Evaluation
You will be graded according to the rubric below. Take the time out to check that you and your group have fulfilled the requirement's of today's task.
Evaluation Rubric
| Below expectations (1-2) | Approaching expectations (3-5) | Meeting expectations (6-8) | Exceeding expectations (9-10) | Score | |
| Calculation of the volume of the tunnel and cost of material | Wrong formula used and many calculation errors. No diagram showed. | Correct formula used, calculation errors present. No diagram shown. | Correct formula and calculations. Diagram is shown, but presentation is not clear. | Correct formula and calculations. Clearly labeled diagram and well presentation style. | |
| Calculation of the cost of paint and the surface area of the roof and children’s playhouse | Incorrect formula used and many calculation errors. | Incorrect formula used and some calculation errors. | Correct formula and calculations. Presentation has room for improvement. | Correct formula and calculations. Clear, precise, and work is shown. | |
| Presentation of work (diagrams and calculations) | Disorganized and unclear presentation. No diagrams shown and work is unclear. | Somewhat disorganized and unclear presentation. No diagrams shown, but calculations are shown. | Generally organized and clear presentation. Diagrams and work are shown. | Well-organized and clear presentation. Diagrams and work is clear and precise. | |
| Ability to work collaboratively | Team members do not communicate and each does not seem to know what the other is doing. | Team members communicate, but they perform tasks independently without consulting each other. | Team members generally work well together, but there is room for improvement. | Team members communicate effectively and get the job done efficiently. | |
| Total Score: |
Conclusion
Congratulations designers and contractors! You have successfully completed your tasks to creating the Jumpstreet Playground. The residents of Petersburg neighborhood would like to thank you for creating their very first own playground.
You have come to the end of this web quest. I hope that you were able to learn more about the volume and surface area of solid figures in this web quest.
Give yourselfs a big pat on the back for a job well done!