Volume of Composite Figures Lesson

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In this lesson, students will be using the 3D software, Tinkercad.com, to create their very own composite figure. Students will be creating a shape with a hole in the center and will be using their prior knowledge of volume of 3D figures to find the volume of the solid. Print Settings Printer Brand: MakerBot Printer: MakerBot Replicator Rafts: Yes Supports: No Resolution: Standard Infill: Use a low infill for prototyping How I Designed This Tips Ensure that when students are creating two shapes, the "hole" will go completely through the solid figure they have created. In order for students to see the hole clearly, have students use a shape that goes completely through the solid by having the hole be the same height as the solid. Project: Volume of Composite Figures Overview and Background In completing this project, students will learn how to use technology to create three dimensional figures as well as finding volumes of composite figures. Objectives Use the volume formulas of three dimensional figures to come up with the volume of composite figures. Audience Grade 8, ages 13-14. Subjects In this lesson, we will be using math, art, and technology. Skills Learned (Standards) CCSS.Math.Content.8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. Lesson and Activity Go to Tinkercad.com and log in using your user name and password from yesterday’s class. Create a new project and label it with your name. Step one: Pick two three dimensional figures. Make the smaller figure a “hole” and place it inside the other. Make sure you are putting a smaller shape inside of the bigger shape. Group these figures together to form your composite shape. Draw out you composite figure in the space below. Step two: Draw out the two figures that create your composite figure and label each with the dimensions that you see on your screen. Step three: Find the volume of each of the shapes above that formed your composite figure. Make sure you are using the correct volume formulas for each shape! Step four: We want to know the volume of our solid figure. In order to do this, what will we be doing with the two volumes we found in the last step? Find the volume of the composite shape you created on your screen. Step five: Print out your figure using the 3D printer and complete the practice below. Duration This activity is designed for a 40 minute class period. Preperation Students should already be familiar with using Tinkercad.com. Also, students should know how to find the volume of three dimensional figures as well as volume of composite figures. Rubric and Assessment Students will be assessed on participation; ensuring that students are completing what must get done in class. The next day, I will collect the worksheets students were completing in class. Students will receive a grade on how they did on the worksheet. Each section is worth 10 pts for a total of 50pts. Handouts Attached is the handout that students will use to record their work.