Mizenko Math Lessons

Students approximate the volume of The Great Pyramid of Giza by calculating the volume of each layer. This requires finding the angle of elevation then using similar right triangles to approximate the width of each step so they can find the width of each layer. A google sheet is linked to show students how to do calculations of this magnitude efficiently. A video explaining the volume formula proof is also linked to show students the use of mathematical models to approximate volume instead of sl

Students create their own definition of circles, spheres, surface area, and volume to relate the topics. Then, video aides explore the relationship between circles and surface area, volume of cones and volume of spheres. Students use these relationships to draw connections between the formulas for spheres, cones, and cylinders to increase equation retention and conceptual understanding. Leveled practice problems are included in the lesson followed by a student practice worksheet linked in the

Students investigate the volume of a cone by approximating it as cylinders. This is an introduction to the concept of Calculus. Students are then introduced to the formal definition of a cone and how it relates to the volume of a cylinder in video format. To practice these skills, students are given free response questions and then convert their answers to fit in an SAT student produced response grid. The warm up introduces the concept of pi using a hands on string activity. In the paperclip f