Middle Grade Math Task


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This discussion has 3 PARTS:

Please separate each part as you complete them!

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Discussion Post_July 1: Activity 1: Volume Video • Watch the video titled “Volume of Cylinders.” • In this video, students are discussing the volume of a cylinder. For the discussion post, answer the following questions: • How did the students generalize about the volume of all cylinders (3-D objects with parallel & congruent bases—includes all prisms too)? Write a formula for the volume of all prisms? • What is one “teacher note” that you took away from the video? By this, I mean what is one thing that you saw the teacher do in this video that you thought benefited the learning experience for the students? Activity 2: Volume of a Cone • Use rice, dried beans, or centimeter cubes to fill up a cone. • Then, pour the rice/beans into the same-colored cylinder (same size base and height). Continue to do this until the cylinder is full. • How can you use the formula for the volume of a right cylinder to help find the formula for the cone? For the discussion post, write your derived formula for the volume of a cone. How did you find this? Activity 3: Volume of a Sphere • What about the volume of a sphere? • Use a cylinder, cone, and a sphere with the same height (diameter for the sphere) and radius to help you derive or generate the formula for the volume of a sphere. • https://www.youtube.com/watch?v=RZkhnIzBC_k • https://www.youtube.com/watch?v=YNutS8eIhEs For the discussion post, write your derived formula for the volume of a sphere. How did you find this? ...
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