# 3D Modeling of Volume and Surface Area

Title: 3D Modeling of Volume and Surface Area | Author: Nick Schaumberg |

Subject(s): Math | |

Grade Level(s): 10 (Geometry) | Total Time: 2-3 Class Periods |

__Overview / Description:__

Students will create a 3D model comprised of 3 different shapes. This will be done with Play-doh or in Tinkercad. They will then find the volume and surface area of the composite 3D shape.

__Learning goals/objectives:__

After completing this activity, students should be able to . . .

- Find the volume of a composite shape.
- Find the surface area of a composite shape.

__Workplace Readiness Skill:__

Social Skills | Communication |
||

Teamwork | x | Critical Thinking | |

x | Attitude and Initiative | x | Planning and Organization |

Professionalism | Media Etiquette |

__Content Standards__:

#### Wisconsin Standards for Mathematics

**Geometric Measurement and Dimension**

Explain volume formulas and use them to solve problems

**Standards for Mathematical Practice**

CCSS.MATH.PRACTICE.MP1 Make sense of problems and persevere in solving them.

CCSS.MATH.PRACTICE.MP4 Model with mathematics.

CCSS.MATH.PRACTICE.MP6 Attend to precision.

__Educational Frameworks__:

B-LS 2. Demonstrate creativity

B-LS 5. Apply media and technology skills

__Materials:__

- Computer or Play-doh
- Student sheet (below)
- www.tinkercad.com
- Calculator
- Lesson plans on volume and surface area, as found on Khan Academy

__Learning Activities:__

WHO (T=Teacher Focus Lesson; WG=Whole Group\; SM=Small Group; I=Independent)

Learning Activity Task | WHO is responsible for this step? | Approximate time for task |

Day 1 | ||

Teacher should start by introducing the concept of volume and surface area. Khan Academy has a number of lessons which can be used by teachers to introduce these concepts. | T | Up to 1 class period |

Students will practice calculating volume and surface area with individual shapes. (Teacher will model an example, then let the students practice an example for each of the different shapes) | WG/I | 40 minutes |

Day 2 | ||

Teacher may use an entrance ticket to check for understanding of yesterday's lessons on calculating volume and surface area. | T | 5 minutes |

Next, students will have work time to practice calculations using the student worksheet linked in Materials above. (This could also be assigned as homework on Day 1) | I | 30 - 40 minutes |

Day 3 | ||

Teacher will introduce project - creating a 3D model comprised of 3 different shapes. This will be done with Play-doh or in Tinkercad. Students will find the volume and surface area of the composite 3D shape. Students should refer to the 3D Model Volume and Surface Area worksheet above for directions. | WG | 5 minutes |

Students will spend the rest of the class period constructing their 3D models and calculating the volume and surface area of their creations | I | 40 minutes |

__Assessment__:

Summative Assessment - Collect student worksheet and 3D Model worksheet linked above.

__Wrap-Up: __

Whole group discussion about the project.

__Extension Activity __(for intervention or enrichment):

- Students could 3D print their object from Tinkercad and measure the volume and surface area from the object.
- Students could work in pairs or groups on their 3D object and calculations.
- Students could pair-share their objects and calculations at the conclusion of Day 3 with another student/group before submitting for assessment to check for accuracy.