Math 6110
Day and Topic
Outline
Day 1: Basics
- Points, Lines,
Segments, Rays & Angles,
- Simple Closed
Curves,
- Classify
Triangles, Classify Polygons and Intro 3-d Solids
- Special Pairs,
Transversal, Intersecting Lines, Parallel, & Perpendicular Lines
- Constructions
o
Intro to
technology/GSP
- Initial, simple
investigations
Day 2 and 3:
Triangles
- Triangle Properties & Constructions
- Altitudes, Perpendicular
Bisector, Medians & Centers of Triangles
- Triangle Inequality Theorem
- Constructing Triangle Centers
(folding, compass and s.e., and with gsp)
o
Triangle
Similarity & Congruence, Midsegment Theorem
- Area and Perimeter
- Pythagorean Theorem
Day 4 and 5: Quadrilaterals and Polygons
- Properties -
Convex, Concave
- Interior &
Exterior Angles
- Diagonals, and
Symmetry
o Quadrilaterals
- Area and
Perimeter
- Constructions
based on properties
Day 6:
Circles & Coordinate Geometry
- Describing and
comparing the concepts and attributes of a circle (e.g. radius, diameter,
center, chord, major arc, minor arc)
- Solving problems
involving the area and circumference of circles
- Making graphical
representations of circles using dynamic geometry software
- Determining
whether lines are Parallel or Perpendicular
- Finding the
length and midpoint of line segments
o
Finding
the distance between two points
Day 7: Solids &
Transformational Geometry
- Classifying 3-D
objects according to their characteristics
- Volume and
Surface Area of Prisms, Cylinders, Pyramids & Cones
- Graphically
representing 3-D objects
- Translations,
Reflections, Rotations, & Dilations, Tessellations