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G.GMD.A.2

10 Results Found

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8th Grade Math

Students make several advances in their algebraic reasoning as they solve systems of linear equations, use functions to describe relationships, and analyze two- and three-dimensional figures.

Geometry

Students further their understanding of geometric relationships and learn to make formal mathematical arguments about geometric situations, with a heavy emphasis on transformations and proofs.

10th Grade - Polygons and Algebraic Relationships

Students connect algebra to geometric concepts with polygons as they explore the distance formula, slope criteria for parallel and perpendicular lines, and learn to calculate and justify the area and perimeter of polygons.

10th Grade - Three-Dimensional Measurement and Application

Students extend their understanding of circles, volume, and surface area into modeling situations, formula analysis, and deeper conceptual understandings.

8th Grade - Pythagorean Theorem and Volume

Students learn about irrational numbers, approximating square roots of non-perfect square numbers, and investigate the well-known Pythagorean Theorem to solve for missing measures in right triangles.

Geometry - Unit 6: Three-Dimensional Measurement and Application - Lesson 10

Describe Cavalieri’s principle relating equal area cross-sections and volume, and how this relates to the formulas for volume. Derive the volume of a sphere using Cavalieri’s principle.

Geometry - Unit 6: Three-Dimensional Measurement and Application - Lesson 11

Identify cross-sections of pyramids and use the relationships between the cross-sections to determine the volume of truncated cones and pyramids.

Geometry - Unit 6: Three-Dimensional Measurement and Application - Lesson 12

Calculate the volume of a sphere and use this in the solution of problems.

Geometry - Unit 6: Three-Dimensional Measurement and Application - Lesson 17

Apply density concepts to surface area and volume problems.

Geometry - Unit 6: Three-Dimensional Measurement and Application - Lesson 18

Apply constraints on volume, surface area, or cost to solve design problems with three-dimensional figures.

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