Geometry Honors Skinny - Unit 7

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.