NCTM | Geometry Basic Curriculum Guide | Educational Math Videos

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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
    - a. Definition
    - b. Measuring
    - c. Computer
    - d. Computation
- 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
    - a) Surface Area: Inches
    - b) Surface Area: Centimeters
    - c) Surface Area Puzzle
- 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
  - 1. Pythagorean Theorem
  - 2. Special Right Triangles
  - 3. Distance, Midpoint & Slope
    - a) Intro: d=rt
    - b) Writing: d=rt
    - c) d=rt on the Computer
    - d) Countdown Challenge: d=rt
    - e) Calculating Walking Distance & Speed
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
  - 1. Transformations
  - 2. Transformation Patterns
    - a) Intro to Quilt Patterns on the Computer
    - b) Creating Quilt Patterns on the Computer
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
  - 2. Exploring Angles Using a Clock
  - 3. Exploring Angles Using a Compass
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