7th Grade Advanced Math Unit 9

Big Idea:

Finding the volume, surface or lateral area of prisms, cylinders, cones and spheres.

Student Expectations:

Priority TEKS

8.7(A) [Readiness] Solve problems involving the volume of cylinders, cones, and spheres.

8.7(B) [Readiness] Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders.

7.9A [Readiness] Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids.

Focus TEKS

8.6(A) [Supporting] Describe the volume formula V=Bh of a cylinder in terms of its base area and its height.

8.6(B) [Supporting] Model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas.

7.8A model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas

7.8B explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas

7.9D [Supporting] solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shapes net.

Learning Targets:

• Find volume and surface area of prisms, cylinders, cones and spheres.
• Find lateral surface area of cylinders and prisms

Essential Questions:

• What is the relationship between the volume of a cylinder and cone?
• How can we use algebra to determine the volume and surface area of three dimensional objects?

Extra Information:

Adopted Textbook: McGraw-Hill 8th Grade Mathematics

District Grading Policy

Texas Gateway Online Resource Center