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Mathematics | Course : Model Mathematics III (Integrated Pathway)
Domain - Geometric Measurement and Dimension
Cluster - Visualize relationships between two-dimensional and three-dimensional objects.
[MIII.G-GMD.B.4] - Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
- Rotation
A type of transformation that turns a figure about a fixed point, called the center of rotation.
[6.G.A.4] -
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
[7.G.A.3] -
Describe the shape of the two-dimensional face of the figure that results from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
[7.G.B.4] -
Circles and measurement
[7.G.B.4.a] -
Know that a circle is a two-dimensional shape created by connecting all of the points equidistant from a fixed point called the center of the circle.
[7.G.B.4.b] -
Understand and describe the relationships among the radius, diameter, circumference and circumference of a circle.
[7.G.B.4.c] -
Understand and describe the relationship among the radius, diameter, and area of a circle.
[7.G.B.4.d] -
Know the formulas for the area and circumference of a circle and use them to solve problems.
[7.G.B.4.e] -
Give an informal derivation of the relationship between the circumference and area of a circle.