Geometry Unit 12

Big Idea:

Calculate the volume and surface area of three dimensional figures and analyze the effects of changing the dimensions of the figures.

Student Expectations:

Priority TEKS

G.10(A) [Supporting] identify the shapes of two-dimensional cross-sections of prisms, pyramids, cylinders, cones, and spheres and identify three-dimensional objects generated by rotations of two-dimensional shapes

G.11(C) [Readiness] apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure

G.11(D) [Readiness] apply the formulas for the volume of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure

Focus TEKS

G.4(D) [Supporting] compare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle

G.10(B) [Readiness] determine and describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume, including proportional and non-proportional dimensional change

Student Learning Targets:

• I will describe properties and cross sections of prisms and pyramids.
• I will describe the relations among the faces, edges, and vertices of a polyhedron.
• I will describe properties and cross sections of a
  • Cylinder
  • Cone
  • Sphere
• I will identify three-dimensional objects generated by rotations of two-dimensional objects.
• I will solve problems by finding the lateral or total surface area of composite figures including:
  • Prisms
  • Pyramids
  • Cylinders
  • Cones
  • Spheres
• I will solve problems by finding the volume of composite figures including
  • Prisms
  • Pyramids
  • Cylinders
  • Cones
  • Spheres
• I will solve problems using properties of spheres.
• I will develop the formula for the volume of a sphere.
• I will compare parallelism in Euclidean and Spherical geometries.
• I will compare triangles in Euclidean and spherical geometries.
• I will describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area and Volume.
• I will use geometric shapes and their measures to model real-world objects.

Essential Questions:

• Why are different geometries useful in describing different applications?
• How does change in the linear dimensions of a shape affect the measures of its perimeter, area, surface area, and volume?

Extra Information:

Adopted Textbook: Springboard - Geometry Texas Edition

District Grading Policy

Texas Gateway Online Resource Center