- How has geometry inspired artists?
- How is geometry used in product design and graphic arts?
- How are geometric shapes defined and classified by their properties?
- Where did the Platonic Solids come from?
- Definitions for line, segment, ray, angle (acute, obtuse, right), complementary/supplementary angles, intersecting/parallel lines, regular/irregular polygons, circle, triangles (scalene, isoceles, right), quadrilaterals (parallelograms, rectangles, squares, rhombus, trapezoid), and the relationship between the terms.
- Platonic solids and their relationship to each other, Euler's Law relating edges and vertices
- Similarity vs. Congruence
- Symbols for geometric terms
- Types & properties of triangles and quadrilaterals
- Formulas for finding area of quadrilaterals, triangles, and circles and how were they derived
*Find missing angle measurements using complementary/supplementary properties, and 180 in a triangle and a line
*Calculate the degrees in a polygon and find each angle measurement for regular shapes
*Measure and draw angles accurately with a protractor
*Explain the differences between different types of triangles and quadrilaterals; know the properties of each
*Use the correct formulas for finding area of 2D shapes: quadrilaterals, triangles, circles
*Build platonic solids and combine various shapes
- Written Test
- Geometry Story: Write a short story that uses geometric shapes and properties symbolically (e.g. A love letter from a square to a circle)
- Straw Polyhedra Project
- Design packaging for a new product - find surface area from the 2D shapes that make the sides of the package.
- Protractors, rulers, geometric shape kits (plastic/cut-out), tangram sets
- Tangram sets
- Origami constructions
- <Straw Polyhedra>
- Flatland by Edwin Abbott
- Product design and packaging (Arts and Engineering)
- Evolution of the Platonic Solids (Math History)
- Geometry Story (Language Arts)
- Extensions: Read Flatland. (Language Arts and Humanities)