# Q4, W4: April 11-15 Geometry

Teacher Kristin Andreason Geometry Honors 8 April 11-15 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:

• 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