Train Car

thingiverse

For this project, students are tasked with designing and creating their own train car using various shapes such as cylinders, rectangular prisms, and cones. Upon completion of the train car, students will calculate different units of measurement based on the volumes of these shapes. How I Designed This Instructions Create one cylinder, of any dimensions you choose, that will serve as the train's wheels. Make sure to rotate the wheel so it is lying just like an actual train wheel on the track. Clone the original cylinder three times to ensure all four wheels are equal in size. Next, align your four wheels so they lie straight on the track. Now it's time to create the train car. Drag a box onto the screen and choose dimensions to your liking. The four wheels should be attached to the train car at the appropriate sides. The train car should also be raised above ground level so it doesn't drag. The final piece of the train is the train horn. To create this, drag another cylinder and cone onto the plane. The cylinder should lie on top of the train car, coming out of the top of the box. The cone should then be placed on top of the cylinder to form the horn shape. Choose dimensions that are reasonable. Choo Choo!! Custom Section Project: Train Car Overview & Background: By completing this project, students will see real-world applications of figures they're studying in geometry. Students will also calculate their own unique volumes for various shapes, reinforcing procedural fluency. Objectives: 1. Calculate volume and surface area of given shapes. 2. Use geometry shapes to create real-world objects. 3. Create a 3-D model of a train car. 4. Compare and contrast which shapes should be placed together to create certain objects. Audiences: This lesson is designed for high school students in geometry. Subjects: math, art, science Standards: CCSS.MATH.CONTENT.HSG.GMD.A.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments. CCSS.MATH.CONTENT.HSG.GMD.A.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Lesson/Activity: Step 1: Create one cylinder, of any dimensions you choose, that will serve as the train's wheels. Make sure to rotate the wheel so it is lying just like an actual train wheel on the track. Clone the original cylinder three times to ensure all four wheels are equal in size. Next, align your four wheels so they lie straight on the track. Step 2: Now it's time to create the train car. Drag a box onto the screen and choose dimensions to your liking. The four wheels should be attached to the train car at the appropriate sides. The train car should also be raised above ground level so it doesn't drag. Step 3 and Step 4: The final piece of the train is the train horn. To create this, drag another cylinder and cone onto the plane. The cylinder should lie on top of the train car, coming out of the top of the box. The cone should then be placed on top of the cylinder to form the horn shape. Choose dimensions that are reasonable. Duration: Two class periods. One period for creating the train and the second period for calculations. Preparation: Students need to know how to calculate volume of 3-D shapes. References: Tinkercad software https://www.tinkercad.com/ Video for students to watch on composite shapes (for the horn of the train)https://www.youtube.com/watch?v=vqoTudvn5rA Webpage on volume formulashttp://www.math.com/tables/geometry/volumes.htm Rubric and Assessment: By the end of this project, students will have used their knowledge of 3-D shapes and geometry to calculate the volume and surfaces of real-world applications. First, they will create a train car using different figures in Tinkercad. Finally, they will complete a worksheet on volume and surface areas related to their specific train car's dimensions. A possible rubric for grading: (30 points) Students followed rules and instructions for creating the train (10 points) Realistic and reasonable dimensions (10 points) Creativity (40 points) Successful completion of the worksheet on volume. This includes correct solutions based on their dimensions. (10 points) Class participation. Handouts: The students' worksheet is attached. Step 1 Step 2 Step 3 Step 4 Worksheet 1 Worksheet 2