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South Carolina Academic Standards for Mathematics
7th Grade
Geometry:
The student will demonstrate through the mathematical processes an understanding of proportional reasoning, tessellations, the use of geometric properties to make deductive arguments. the results of the intersection of geometric shapes in a plane, and the relationships among angles formed when a transversal intersects two parallel lines.
Calculating...
Lesson  (...)
Lesson: Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.

Lesson: Explores lines, planes, angles, and polygons in tessellations.

Lesson: Introduces students to length, perimeter and area.

Lesson: Students learn how the Pythagorean Theorem works and how to apply it.

Lesson: Examines plane symmetry.

Lesson: Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture.

Activity  (...)
Activity: Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, revolving around any line (which yields a 3-D image), rotations about any point, and translations in any direction.

Activity: Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.

Activity: Learn about how the Pythagorean Theorem works through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.

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