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Common Core: Math
CCLS - Math: G.GMD.4
- Geometric Measurement And Dimension
- Visualize Relationships Between Two-Dimensional And Three- Dimensional Objects
- State Standard:
- Identify the shapes of two-dimensional cross-sections of three- dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
- Student Outcomes Visualize cross-sections of three-dimensional objects. Have an understanding of how a 3D printer works and its relation to Cavalieri’s principle.
- Student Outcomes Students give an informal argument using Cavalieri’s principle for the volume formula of a sphere and use thevolume formula to derive a formula for the surface area of a sphere.
- Student Outcomes Students understand the principle of parallel slices in the plane, and understand Cavalieri’s principle as ageneralization of the principle of parallel slices. Students use Cavalieri...
- Student Outcomes Students understand the precise language that describes the properties of volume. Students understand that the volume of any right cylinder is given by the formula area of base×...
- Student Outcomes Students understand the definition of a general pyramid and cone and that their cross sections are similar tothe base. Students show that if two cones have the same base area and the...
- Student Outcomes Students understand the definitions of a general prism and a cylinder and the distinction between a cross-section and a slice.
- Students study the basic properties of two-dimensional and three-dimensional space, noting how ideas shift between the dimensions. They learn that general cylinders are the parent category for...
- Geometry Module 3: Extending to Three Dimensions Module 3, Extending to Three Dimensions, builds on students’ understanding of congruence in Module 1 and similarity in Module 2 to prove volume...
- In this installment of the video professional development series, there are two videos for small groups of educators to learn from the Common Core in practice. The first video does not include...
- This Geometry Common Core video features ninth and tenth grade students from Webster, New York. The lesson focuses on Standards G-GPE.7, A-REI.12 and G-GMD.4