Principles of design: unity, variety, balance, emphasis, rhythm
STRUCTURE: RIGID / FLEXIBLE
Point Words: locus, intersect, vertex
Line Words: straight line, arc, line segment, ray
Polygon Words: triangle, square, pentagon, hexagon, HEPTAGON, octagon, NONAGON, decagon, dodecagon, ICOSAGON, regular polygon, rhombus, parallelogram, FACE (PLANE)
angle / side (contour or edge) / perpendicular / bisector / altitude / median
Circle Words: center / radius / circumference / diameter / sector / chord / CENTRAL ANGLE / INSCRIBED ANGLE / TANGENT, SUM OF ANGLE (360) DEGREES
Triangle Words: base, hypotenuse, altitude, median, Pythagorean theorem
Kinds of triangles: Pythagorean, right, isosceles, scalene, equilateral, obtuse, acute
Polyhedron Words: sphere, cube, cone, cylinder, prism 5 Platonic solids: tetrahedron, octahedron, cube, dodecahedron, icosahedron
Pattern Words: TESSELLATION, Unit of repeat (motif), transformations: slide, flip, rotate; symmetry, axis
Directional Words: vertical / horizontal, diagonal, rotational
Polygonal Numbers
PASCAL'S TRIANGLE
FIBONACCI NUMBERS
Kinds of geometry: plane geometry, solid geometry
Leonardo DaVinci
Albrecht Durer
Nicholaus Copernicus
Johannes Kepler
Girard Desargues
Rene Descartes
Pierre Fermat
Leonhard Euler
John Bolyai
Van Hiele levels of learning geometry:
Level 0: PERCEPTION - VISUALIZATION
Level 1: ANALYSIS
Level 2: INFORMAL LOGIC
Level 3: FORMAL DEDUCTION
Level 4: RIGOR
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