Q4, W4: April 11-15 Geometry

TeacherKristin Andreason
Subject AreaGeometry Honors
Grade Level8
Week #April 11-15
Unit of InstructionUnit 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:

  • I will give students notes on Volume and Surface Area of Spheres
  • Students will do IXL T.7 and T.4
  • We will watch the Math Shorts YouTube video on 2-D cross-sections
  • Students will do IXL’s H.4 and H.5
  • Students will begin worksheets on Volume of Composite Figures

Wednesday:

  • Students will finish any volume assignments 

Thursday/Friday:

  • Students will make flashcards on Circles Vocabulary and Circle Theorems from Quizlet
  • Students will do IXL’s U.2 and U.8
Assignments Due
  • IXL’s H.4 and H.5
  • Volume of compound figures worksheets
  • IXL’s U.2 and U.8
Additional Resources

All IEP and ESOL accommodations will be provided daily.