volume City
- 5th Grade -
The Challenge!
Design a city neighborhood to hold at least 200 people.
Challenge Constraints
You must have enough combined space for a minimum of 200 people in your apartment buildings. 1 cubic unit = 1 person
You must plan for roads of "2 blocks" wide.
For every building in your design, you must have its matching area dedicated to green, park space.
Student Skills In Focus
Learning Goals
Students will:
Students determine the volume of rectangular prisms and apply this volume to parameters of the challenge.
Students will determine area to be used as a constraint in designs.
Use the challenge to develop the Pillar Skills in focus.
Questions To Ask Students:
Plan Ahead- What are some strategies you could use to ensure you have the correct spaces to fill the constraints?
How can you determine the volume of the prisms and how does this help with the project constraints?
How can you determine area and how will that help you plan your design?
Essential Questions:
What factors to city planners need to consider when spaces?
NJ Student Learning Standards:
5.MD.C.5 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
5.MD.C.5b Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole number edge lengths in the context of solving real world and mathematical problems. c. Recognize volume as additive. Find volumes of solid figures composed of two nonoverlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.