- Powered by Excellence -
| - Subject - |
| - Preface - |
PURPOSE :
PowerMath Geometry®
APPLICATION :
Requiring some basic skills in Algebra, this course combines theory proved by logical reasoning with plenty of examples and illustrations, stressing both the
theoretical and computational aspects, in a rigorous representation of traditional topics in Geometry.
For Students, lessons are self-paced and self-learning requiring no instructional intervention.
For Teachers, lessons are content specific and optimal to augment their own classroom lectures.
RECOMMENDATION :
Lesson-Shows were designed to be watched sequentially, to build your mathematical knowledge and confidence incrementally.
  Skipping any portion of the course (lessons and/or chapters) is not advised.   We suggest that you start with the very first lesson of the subject (Chapter One - Lesson One), while working your way up.
  Your starting-point (depending on your abilities), is when you find a specific lesson content challenging.
  Alternatively, match your instructor most recent lecture topic or corresponding part of your textbook, with
any lesson Title & Description below.
| - Contents - |

In PDF Format
| - Lessons - |
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SHOW 3005 |
The Language of Geometry
(Runtime 13 minutes / Prerequisite None ) Notational Geometry |
(24 Hours Viewing-Window) |
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SHOW 3010 |
Introduction to Angles
(Runtime 15 minutes / Prerequisite SHOW 3005 ) Detailed Description of Angles |
(24 Hours Viewing-Window) |
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SHOW 3015 |
Exploring Angles
(Runtime 19 minutes / Prerequisite SHOW 3010 ) The Relationship of Angles |
(24 Hours Viewing-Window) |
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SHOW 3020 |
Angle Conversion
(Runtime 15 minutes / Prerequisite SHOW 3015 ) Degrees & Radians |
(24 Hours Viewing-Window) |
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SHOW 3025 |
Common Formulas
(Runtime 13 minutes / Prerequisite SHOW 3020 ) Perimeter, Circumference, Area and Volume |
(24 Hours Viewing-Window) |
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SHOW 3030 |
The Geometric Plane
(Runtime 9 minutes / Prerequisite SHOW 3025 ) Review of the Cartesian Coordinates |
(24 Hours Viewing-Window) |
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SHOW 3035 |
The Pythagorean Theorem
(Runtime 12 minutes / Prerequisite SHOW 3030 ) Alternative Formulas and Examples |
(24 Hours Viewing-Window) |
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SHOW 3050 |
Visual Patterns
(Runtime 11 minutes / Prerequisite SHOW 3035 ) Exploring Visual Patterns |
(24 Hours Viewing-Window) |
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SHOW 3055 |
Numeric Patterns
(Runtime 19 minutes / Prerequisite SHOW 3050 ) The Pascal Triangle and Its Properties |
(24 Hours Viewing-Window) |
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SHOW 3060 |
Logic
(Runtime 10 minutes / Prerequisite SHOW 3055 ) Deductive and Inductive Reasoning |
(24 Hours Viewing-Window) |
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SHOW 3065 |
Set-Theory
(Runtime 17 minutes / Prerequisite SHOW 3060 ) Review |
(24 Hours Viewing-Window) |
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SHOW 3070 |
Truth Table
(Runtime 19 minutes / Prerequisite SHOW 3065 ) The Logical Operands |
(24 Hours Viewing-Window) |
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SHOW 3075 |
Biconditional Statements
(Runtime 10 minutes / Prerequisite SHOW 3070 ) Properties & Negation |
(24 Hours Viewing-Window) |
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SHOW 3080 |
Logic Properties
(Runtime 14 minutes / Prerequisite SHOW 3075 ) The Algebra of Logic |
(24 Hours Viewing-Window) |
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SHOW 3085 |
If-Then Statements
(Runtime 14 minutes / Prerequisite SHOW 3080 ) Implication, Converse, Inverse and Contra-Positive Forms explained |
(24 Hours Viewing-Window) |
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SHOW 3100 |
Parallel & Transversal Lines
(Runtime 17 minutes / Prerequisite SHOW 3085 ) Derived Properties and Proof |
(24 Hours Viewing-Window) |
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SHOW 3105 |
Midpoint of Line Segments
(Runtime 15 minutes / Prerequisite SHOW 3100 ) Coordinates of the Midpoint |
(24 Hours Viewing-Window) |
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SHOW 3110 |
The Length of Line Segments
(Runtime 11 minutes / Prerequisite SHOW 3105 ) Distance Between Points |
(24 Hours Viewing-Window) |
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SHOW 3115 |
Slope of the Line
(Runtime 12 minutes / Prerequisite SHOW 3110 ) Computing the Slope |
(24 Hours Viewing-Window) |
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SHOW 3120 |
Deriving the Linear Equation
(Runtime 20 minutes / Prerequisite SHOW 3115 ) The Slope Intercept Form |
(24 Hours Viewing-Window) |
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SHOW 3125 |
The X & Y Intercept
(Runtime 15 minutes / Prerequisite SHOW 3120 ) Drawing the Line |
(24 Hours Viewing-Window) |
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SHOW 3130 |
Perpendicular Lines
(Runtime 17 minutes / Prerequisite SHOW 3125 ) The Characteristics of Perpendicular Lines |
(24 Hours Viewing-Window) |
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SHOW 3135 |
Parallel Lines
(Runtime 14 minutes / Prerequisite SHOW 3130 ) The Characteristics of Parallel Lines |
(24 Hours Viewing-Window) |
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SHOW 3140 |
Intersecting Lines
(Runtime 11 minutes / Prerequisite SHOW 3135 ) The Characteristics of Intersecting Lines |
(24 Hours Viewing-Window) |
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SHOW 3200 |
Introduction to Polygons
(Runtime 21 minutes / Prerequisite SHOW 3140 ) The Anatomy of Polygons |
(24 Hours Viewing-Window) |
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SHOW 3205 |
Triangles
(Runtime 13 minutes / Prerequisite SHOW 3200 ) The Polygon with 3 Sides |
(24 Hours Viewing-Window) |
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SHOW 3210 |
Congruent Triangles
(Runtime 12 minutes / Prerequisite SHOW 3205 ) Translation, Rotation and Reflection |
(24 Hours Viewing-Window) |
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SHOW 3215 |
Proving Triangle Congruency
(Runtime 17 minutes / Prerequisite SHOW 3210 ) Methods: S.S.S., S.A.S., A.S.A. and A.A.S. |
(24 Hours Viewing-Window) |
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SHOW 3220 |
Special Right Triangles
(Runtime 13 minutes / Prerequisite SHOW 3215 ) The "30/60" - "45/45" - "37/53" Applications |
(24 Hours Viewing-Window) |
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SHOW 3225 |
Quadrilaterals I
(Runtime 14 minutes / Prerequisite SHOW 3220 ) The Square and The Rhombus |
(24 Hours Viewing-Window) |
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SHOW 3230 |
Quadrilaterals II
(Runtime 14 minutes / Prerequisite SHOW 3225 ) The Rectangle and The Parallelogram |
(24 Hours Viewing-Window) |
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SHOW 3235 |
Quadrilaterals III
(Runtime 15 minutes / Prerequisite SHOW 3230 ) The Trapezoid and The Kite |
(24 Hours Viewing-Window) |
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SHOW 3240 |
Polygons in the Geometric Plane
(Runtime 24 minutes / Prerequisite SHOW 3235 ) Mapping and Proving Polygons |
(24 Hours Viewing-Window) |
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SHOW 3270 |
Tessellation
(Runtime 13 minutes / Prerequisite SHOW 3240 ) Patterns in Polygons |
(24 Hours Viewing-Window) |
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SHOW 3275 |
Scale & Proportion
(Runtime 10 minutes / Prerequisite SHOW 3270 ) Scaled Models and the Proportion Principle |
(24 Hours Viewing-Window) |
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SHOW 3280 |
Geometric Translation
(Runtime 10 minutes / Prerequisite SHOW 3275 ) Up, Right, Down and Left Mapping |
(24 Hours Viewing-Window) |
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SHOW 3285 |
Geometric Reflection
(Runtime 10 minutes / Prerequisite SHOW 3280 ) Lines of Symmetry & Object Reflection |
(24 Hours Viewing-Window) |
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SHOW 3290 |
Geometric Rotation
(Runtime 10 minutes / Prerequisite SHOW 3285 ) The Center & Angles of Rotation |
(24 Hours Viewing-Window) |
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SHOW 3295 |
Geometric Dilation
(Runtime 13 minutes / Prerequisite SHOW 3290 ) Center of Dilation and Scale-Factor K |
(24 Hours Viewing-Window) |
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SHOW 3300 |
Introduction to Solid Geometry
(Runtime 8 minutes / Prerequisite SHOW 3295 ) The Geometry of Solids |
(24 Hours Viewing-Window) |

| ( Library Unlimited Access ) |
