Mar 24, 2016 - Geometry Module 2: Similarity, Proof, and Trigonometry
Just as rigid motions are used to define congruence in Module 1, so dilations are added to define similarity in Module 2. To be able to discuss...
Mar 24, 2016 - 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...
Jan 26, 2016 - Students revisit what scale drawings are and discover two systematic methods of how to create them using dilations. The comparison of the two methods yield the Triangle Side Splitter Theorem and the...
Jan 26, 2016 - Student Outcomes
Students create scale drawings of polygonal figures by the Ratio Method.
Given a figure and a scale drawing from the Ratio Method, students answer questions about the scale factor...
Jan 26, 2016 - Student Outcomes
Students understand the definitions of a general prism and a cylinder and the distinction between a cross-section and a slice.
Jan 26, 2016 - Student Outcomes
Students understand that given similar solids A and B so that the ratio of their lengths is a:b, then the ratio of their volumes is a3:b3.
Students understand that if a solid with...
Jan 26, 2016 - Students learn what it means for two figures to be similar in general, and then focus on triangles and what criteria predict that two triangles will be similar. Length relationships within and...
Jan 26, 2016 - 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×...
Jan 26, 2016 - 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...
Jan 26, 2016 - 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.
Jan 26, 2016 - Student Outcomes
Students use Cavalieri’s principle and the cone cross section theorem to show that a general pyramid or cone has volume 1/3Bh where B is the area of the base and h is the height by...
Jan 26, 2016 - 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.
Jan 26, 2016 - Student Outcomes
Students understand that parallel lines cut transversals into proportional segments. They use ratios between corresponding line segments in different transversals and ratios within...
