# Q4, W3: April 12-16 Geometry

Teacher Kristin Andreason Geometry Honors 8 April 13-17 Unit 7: Three-Dimensional Measurements
Standard(s) Taught

MAFS.912.G-GMD.1.1:  Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. (Use dissection arguments, Cavalieri’s principle, and informal limit arguments.)

MAFS.912.G-GMD.2.4:  Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

MAFS.912.G-GMD.1.3: MODELING STANDARD Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

MAFS.912.G-MG.1.1:   MODELING STANDARD  Use geometric shapes, their measures, and their properties to describe objects.(e.g., modeling a tree trunk or a human torso as a cylinder).

Learning Targets and Learning Criteria
• identify the base for prisms, cylinders, pyramids, and cones.
• calculate the area of the base (B) for prisms, cylinders, pyramids, and cones.
• calculate the volume of a prism using the formula V = Bh and the volume of a cylinder V = πr2h, where B is the area of the base and h is height of the solid.
• defend the statement, “The formula for the volume of a cylinder (or cone) is basically the same as the formula for the volume of a prism (or pyramid).”
• explain that the volume of a pyramid (or cone) is 1/3 the volume of a prism (or cylinder) with the same base area and height.
• use Cavalieri’s Principle to demonstrate that a right prism (or cylinder) and a slanted prism (or cylinder) have the same volume when the base areas and heights are the same.
• calculate the volume of a cylinder, pyramid, cone, and sphere and use the volume formulas to solve problems.
• describe real world objects using geometric figures.
• use measures of geometric shapes to find volume, surface area and lateral area of real-world objects.
• identify the shapes of the two-dimensional cross-sections of three-dimensional objects.
• rotate a two-dimensional figure and identify the three-dimensional object that is formed.
Classroom Activities

Monday/Tuesday:

1. Students will log onto the Zoom session.
2. Students will do notes in their ISN on Volume of Pyramids and do practice problems.
3. Students till do notes on Volume of Cones and Spheres.
4. Students will do worksheets on Volume of Pyramids and Volume of Cones.
5. Students will take notes on Surface Area
6. Students will do IXL T.7

Wednesday:

1. Students will log onto the Zoom Session
2. Students will watch the Math Shorts video on 2-D cross sections of 3-D figures
3. Students will do IXL H.4 and H.5
4. Students will work on finishing other volume assignments when they finish

Thursday/Friday:

1. Students will log onto the Zoom session.
2. I will give students copies of the Surface Area Help notes
3. We will do one problem together of Volume of a composite figure
4. Students will work in groups to do the Volume and Surface Area of  a Sand Castle
Assignments Due
• Volume of Pyramids and Volume of Cones Worksheets
• IXL T.7
• IXL’s H.4 and H.5
• Surface Area and Volume of a Castle
Additional Resources

All IEP and ESOL accommodations will be provided daily.