Exploring Properties of Similar Solids in Geometry
In this lesson, students will investigate the properties of similar solids, focusing on how changes in dimensions impact perimeter, area, and volume. They will learn to determine the relationship between ratios of corresponding linear measures of similar solids and apply their understanding to solve geometric problems. The lesson reinforces previous knowledge of similar polygons, encouraging students to hypothesize about the links between side lengths, perimeters, and volumes of similar polyhedra, deepening their comprehension of geometric relationships.
Exploring Properties of Similar Solids in Geometry
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Presentation Transcript
Lesson 12.7 Explore Similar Solids
Objective • Students will use properties of similar solids
Standard • 11.0 – Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids. • 8.0 – Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.
Academic Language • Similar Solids
Similar Solids • Two solids of the same type with equal ratios of corresponding linear measures, such as heights or radii
Think/Pair/Share • Think back to similar polygons we studied earlier this year. What was true about the ratios of side lengths and perimeters? Side length ratios and Area ratios? • What do you predict with be the relationship between the ratio of the side lengths and volumes of similar polyhedra?
Homework • p.850 #1, 2, 3, 5, 7, 9, 11, 12, 14, 17, 19
