COUNTDOWN Geometry Guide

COUNTDOWN, Using the technology of QuickTime movies to develope math skills. Developed by Loyola University Chicago School of Education and Chicago GEAR UP Alliance.

Geometry
Basic Curriculum Guide

I. Basic Elements of Geometry
- A. Points
- B. Lines
  - 1.Lines Intro
  - 2.Classifying Lines
  - 3.Lines on a Coordinate Grid
  - 4.Lines on a Map
  - 5.Using Line Notation
- C. Angles
  - 1. Classifying Angles
  - 2. Angle Quiz
  - 3. A Riddle Often Sounds Ridiculous
  - 4. Naming & Measuring Angles
  - 5. Protractor Basics
  - 6. Using a Protractor
  - 7. Creating Angles Using Word
  - 8. Right, Obtuse & Straight Angles Using Word
  - 9. Reflex Angles Using Word
  - 10. Creating a Right Angle on the Computer
  - 11. Complementary/ Supplementary Angles
- D. Planes
II. Reasoning & Proof
III. Coordinate Geometry
- A. The Coordinate Plane
- B. Polar Coordinates
- C. Graphing in 3 Dimensions
- D. Locus of Points
IV. Polygons
- A. Attributes
- B. Triangles
- C. Quadrilaterals
  - 1. Concept Development Rectangles
  - 2. Sum of Interior Angles: Quadrilaterals
- D. Tessellations
  - 1. Tessellations on the Computer: Part 1
  - 2. Tessellations on the Computer: Part 2
- E. Tangrams
  - 1. Exploring Tangrams
  - 2. Using “Grandfather Tans Story”
V. Measurement
- A. Linear Measurement
- B. Square Measurement (Area, Perimeter, Surface Area)
  - 1. Area & Perimeter
  - 2. Surface Area
- C. Cubic Measurement (Volume)
  - 1. Volume & Surface Area: Part 1
  - 2. Volume & Surface Area: Part 2
  - 3. Optical Illusion: Volume
  - 4. Volume: Part 1
  - 5. Volume Formula on the Computer
  - 6. Volume: Part 2
  - 7. Volume & Surface Area
  - 8. Volume of a Cone
  - 9. Volume of a Pyramid
  - 10. Volume: Cylinders & Prisms
  - 11. Countdown Challenge: Volume of Cylinders & Cones

VI. Similarity
- A. Ratios, Rates, Proportions
  - 1. Intro to Rate
  - 2. Rate is a Ratio
  - 3. Proportions
- B. Similar Polygons
- C. Right Triangles
- D. Trigonometry
VII. Congruence
- A. Properties of Congruence
  - 1. Congruency
  - 2. Congruent Angles
  - 3. Congruent & Similar on the Computer
- B. Symmetry
  - 1. Symmetry: Intro 1
  - 2. Symmetry: Intro 2
  - 3. Symmetry Using the Alphabet
  - 4. Symmetry Using Polygons
  - 5. Symmetry Fun
- C. Transformations
VIII. Circles
- A. Defining a Circle
- B. Area of a Circle
  - 1. Area of a Circle
  - 2. Using a Formula for the Area of a Circle
- C. Circumference
- D. Arcs & Chords
- E. Exploring
IX. Solids
- A. Classification of Solids
  - 1. Faces, Edges & Vertices
  - 2. Polyhedra Basics
  - 3. Polyhedra Nets 1
  - 4. Polyhedra Nets 2
  - 5. Polyhedra: Formula for Edges
  - 6. Polyhedra Formula for Vertices
  - 7. Polyhedra Nets on the Computer: 1
  - 8. Polyhedra Nets on the Computer: 2
- B. Visualization of Solids
X. Problem Solving & Games
- A. Geometry Extended Response Problems
- B. Geometry Games
XI. Topology
XII. Basic Constructions
- A. Constructing a Perpendicular Bisector
- B. Constructing a Six Pointed Star
- C. Constructing Congruent Angles
- D. Constructing Congruent Isoceles Triangles
- E. Constructing Congruent Triangles