Geometry Block - Unit 7
- What
- Geometry Block - Unit 7
- When
- 4/26/2024
Unit 7: Equations & Measurement Geometric & Spatial Reasoning (GSR) G.GSR.9: Develop informal arguments for geometric formulas using dissection arguments, limit arguments, and Cavalieri’s principle; solve mathematically applicable problems involving volume; explore and visualize relationships between two-dimensional and three-dimensional objects to model and explain real-life phenomena. STANDARD & Expectations LT & SC Lesson Activities & Resources G.GSR.9.1 Use volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems including right and oblique solids. LT: I am learning the volume formulas for three-dimensional right and oblique solids. SC: I can use the formulas for volume of a prism, cylinder, pyramid, cone, and sphere. I can use and explain Cavalieri’s Principle to find the volume of oblique solids. I can find the volume of composite solids to explain real-life phenomena. LA&R: Desmos and 3-Act Tasks; GeoGebra; Use 3-D objects in the classroom for this entire unit. Showing a “twirl pad” notepad or a stack of CD’s falling over is a great way to get students thinking about Cavalieri’s Principal; Stacking 3-D objects atop or within one another for composite solids; Quizlet vocabulary & word wall G.GSR.9.2 Use geometric shapes, their measures, and their properties to describe objects and approximate volumes. LT: I am learning to describe objects and approximate volume of geometric shapes. SC: I can choose the appropriate geometric solid to approximate volumes of irregular objects. LA&R: Desmos and 3-Act Tasks; GeoGebra; Use 3-D irregular objects in the classroom for this topic; Quizlet vocabulary & word wall. G.GSR.9.3 Apply concepts of density based on area and volume in modeling situations. LT: I am learning about density based on area and volume formulas. SC: I can choose the appropriate geometric figure or solid to approximate the density of irregular objects in a geometric situation. LA&R: Desmos and 3-Act Tasks; GeoGebra; Fish tank/rock/water displacement – collaborate with the science teachers at school; Quizlet vocabulary & word wall.