Cross Section of a Right Rectangular Prism

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For this lesson students will be learning how to take the cross sections of right rectangular prisms. This lesson involves a lot of visualization, so having the kids create their own right rectangular prisms allows them to have a more hands on experience, allowing them to grasp a better understanding of the content. Students will learn to take the cross section that is either parallel or perpendicular to the base. How I Designed This When designing the right rectangular prisms I made sure to create a before and after figure so that it is easier to see the differences when taking the cross section. One big tip is to create a rectangular hole (cross section) that is bigger than the actual prism, this way the hole appears through the entire figure. Overview/Background Overview/ Background Once students have completed this project they will be able to understand the visual component to this lesson. They will be able to see how the cross section of a right rectangular prism can change depending on whether it is perpendicular or parallel to the base. Students will also have a better understanding of what it means to be parallel or perpendicular to an object. Objectives Objectives Students will be able to understand how to take the cross section that is parallel to the base of a right rectangular prism. Students will be able to understand how to take the cross section that is perpendicular to the base of a right rectangular prism. Audiences Audiences 7th Grade Ages 11 - 13 Subjects Subjects Mathematics Architecture Skills Learned (CCLS) Skills Learned (CCLS) Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. Lesson Activity Lesson/Activity Step 1: (15 mins) Direct Instruction: Go over what a cross section is and what it means to be parallel an perpendicular. Then show students what a right rectangular prism is. Step 2: (5 mins) Go over instructions with students. Make sure all students have created an account on Tinkercad. Show how to create a right rectangular prism on Tinkercad. Show how to create a cross section (Hole) onto the right rectangular prism. Ask if any students have any questions about how to use the program. Step 3: (25 mins) Students work with a partner to create their own right rectangular prisms. Make sure to circulate through the classroom to make sure that students are staying on task and understand how to use the program. Duration Duration This project should take students approximately one class (45 mins each) 15 mins: Direct Instruction - Explain what cross sections are and how to take the cross section of a right rectangular prism. 5 mins: Explain what the activity entails and show example. 25 mins: Have students work with partners and create their own cross sections. Preparation Preparation This lesson entails the use of a computer lab or Chromebooks (whatever is available at your school). Make sure to reserve a spot in the computer lab in advance! For HW the day before have students create an account on Tinkercad, that way they are ready to create their project. Rubric and Assessment Rubric and Assessment Grade students based off of the following: How well they worked with their partner. Did they create a before and after 3D figure? Do they have a cross section that is both parallel and perpendicular to the base? How well they stayed on task. Are their cross sections accurate? Handouts