CLICK HERE FOR A DEMONSTRATION OF** HOW TO INTERACT **

**WITH THESE LESSONS** (Click inside the graphic and Press Play Arrow Buttom)

Scroll down to find the lessons

CHAPTER 1 BASIC DEFINITIONS, ANGLE RELATIONSHIPS AND ANGLE PAIRS. |

1.- Basic Geometric Definitions: Lines, Angles, Planes, Segment Addition Postulate, Midpoint, Distance Formula. |

2.- Complementary, Supplementary, Linear Pair, and Vertical Angles: Definitions and Algebraic Proofs with Geometry. |

3.- Angle Pairs: Complementary, and Supplementary Angles as Word Problems. |

4.- Angle Pairs with Geolegs (manipulatives hands on approach): Complementary, Supplementary and Vertical Angles. |

5.- Angle Pairs in Parallel Lines: Corresponding, Alternate Interior and Alternate Exterior, and Consecutive Interior Angles. |

CHAPTER 2 ANGLE RELATIONSHIPS IN PROOFS, INDUCTIVE AND DEDUCTIVE REASONING. SLOPE. |

1.- Inductive and Deductive Reasoning: If - Then Statements, Law of Syllogism and Law of Detachment. |

2.- Two Column Proofs Involving Segment and Angle Relationships: Two Column Proofs and Flow Proofs with Segment Addition Postulate and Angle Pairs. |

3.- Converting Two Column Proofs to Paragraph Proofs: An introduction to Paragraph Proofs using two column proofs. |

4.- Slope Introduction: Slope of a Linear Equation. Horizontal, Vertical, Falling to the Right or to the Left. Parallel vs Skew Lines. Parallel and Perpendicular Planes. |

CHAPTER 3: TRIANGLES PROVING TRIANGLES CONGRUENT AND TRIANGLE INEQUALITY. |

1.- Proving Triangles Congruent: Algebraic - Geometric Proofs to Prove Triangles Congruent. |

2.- Proving Triangles Congruent: SSS, ASA, SAS, AND AAS. |

3.- Two Column Proofs Involving Triangle Congruence: Two Column Proofs and Flow Proofs using Angle Relationships and SSS, ASA, SAS, and AAS. |

4.- One and Two Triangle Inequality Theorems: Ordering sides and Angles Using Triangle Inequality. |

5.- Drilling in Geometric Statemens: Congruent Geometric Statements and How to Write them and Read them Properly. |

CHAPTER 4 QUADRILATERALS AND THEIR PROPERTIES IN GEOMETRIC AND ALGEBRAIC PROOFS. |

1.- Properties of Quadrilaterals: Squares, Rhombi, Rectangles, Parallelograms and Trapezoids. |

2.- Proving Properties of Special Quadrilaterals using Congruent, or Isometric, or Rigid Transformations. |

3.- Segments and Angles in Parallelograms: Problems Involving Angles and Segments in Regular Parallelograms and Rectangles. |

4.- Segments and Angles in Squares and Rhombi: Problems that Include Angles and Segments in Squares and Rhombi. |

5.- Segments and Angles in Regular and Isosceles Trapezoids: Problems Deal with Segments and Angles in Trapezoids. |

6.- Two Column Proofs with Quadrilaterals and Triangles: Solving Two Column Proofs and Flow Proofs Using Properties of Parallelograms and Quadrilaterals and Properties of Triangles to Prove Congruence Statements and Segment or Angle Relationships. |

INSIDE EACH LESSON YOU MAY DO AS THIS GRAPHIC SHOWS CHAPTER 5 PROPORTIONAL REASONING SIMILARITY AND TRIGONOMETRY. |

1.- Similarity Theorems AA, SAS and AAA. Similarity Applied to Two Triangles and Lines Cut by Transversals. |

2.- Similarity Theorems Involving Special Segments In Triangles: Atltitudes, Medians, Angle Bisectors and Perpendicular Bisectors Similarity Relationships in Triangles. |

3.- Similarity Applied in a Right Triangle: Drawing a height to the Right Angle of A Right Triangle. |

4.- Proofs in Two Column Format involving similarity in triangles. Two Column Proofs and Flow Proofs for Similarity. |

5.- 30°-60°-90° and 45°-45°-90° Triangles: Dealing with Angles and Sides in Special Right Triangles. |

6.- Right Triangle Trigonometry: Right Triangle Ratios of Sine, Cosine and Tangent Applied to Solutions of Problems Involving Segments and Angles. |

7.- Laws of Sines and Cosines: Trigonometry Applied to Acute and Obtuse Triangles Using the Laws of Sine and Cosine. |

CHAPTER 6 ANGLES, ARCS AND SEGMENTS IN CIRCLES. |

1.- Basic Definitios For Circles: Arcs, Chords, Central Angles, Inscribed Angles and Arc Addition Postulate. |

2.- Theorems Involving Congruent Chords and Intersecting Chords in Circles. Applied to Individual Circles or Several Circles. |

3.- Inscribed and Central Angles: Problems that Focus in Inscribed and Central Angles Usings Triangles and Parallelograms. |

4.- Arcs and Angles Formed by Secants, and Tangents in a Circle: Segments that Give Place Secant and Tangents in Circles and the Angles and Arcs that They Form in the Circle Intersecting Inside, On or Outside the Circle. |

5.- Segment Relationships Created by Chords, Secants and Tangents. Chords, Secants and Tangents and the Segments that They Create When Intersecting Inside, On or Outside the Circle. |

6.- Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants Part 1. |

7.- Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants Part 2. |

CHAPTER 7 AREAS IN POLYGONS (REGULAR AND IRREGULAR) |

1.- Angle Measure in Polygons: Interior and Angles in Polygons. |

2.- Calculating Areas in Parallelograms and Rectangles. |

3.- Calculating Areas in Rhombi, Trapezoids and Triangles. |

4.- Areas of Triangles: Special Cases. Involving Pythagorean Theorem, Special Right Triangles and Trigonometry. |

5.- Calculating Areas of Regular Polygons: Areas of Equilateral Triangles, Squares, Pentagons, Hexagons, etc. |

CHAPTER 8 SURFACE AREA AND VOLUME (PLATONIC SOLIDS) |

1.- Finding Surface Area and Volume of CYLINDERS. |

2.- Finding Surface Area and Volume of PRISMS. |

3.- Finding Surface Area and Volume of Solids Built with Base 10 Blocks. |

4.- Finding Surface Area and Volume of CONES. |

5.- Finding Surface Area and Volume of PYRAMIDS. |

6.- Finding Surface Area and Volume of SPHERES. |

CHAPTER 9 SURFACE AREA AND VOLUME COMPOSITE SOLIDS PLATONIC SOLIDS TOGHETER AND/OR REMOVED ONE FROM THE OTHER |

1.- Calculating Surface Area and Volume of Composite Solids by Adding Solids. |

2.- Calculating Surface Area and Volume of Composite Solids by Subracting Solids. |

3.- Calculating Surface Area and Volume of Composite Solids by Adding and Subracting Solids. |

CHAPTER 10 PLANE GEOMETRY AND CALCULUS IN SURFACE AREA AND VOLUME OF SOLIDS OF REVOLUTION AND MATHEMATICAL MODELS INVOLVING SOLIDS. |

1.- Surface Area of Solids of Revolution Using Plane Geometry and Calculus. |

2.- Volume of Solids of Revolution Using Plane Geometry and Calculus. |

3.- Animation of Area Revolving and Forming a Solid Of Revolution. |

4.- Mathematical Modeling with Two Halfs of a Bottle Calculating Surface Area and Volume From the Math Model. |

CHAPTER 11 BASIC CONSTRUCTIONS AND TRANSFORMATIONS WITH PLANE GEOMETRY AND THE COORDINATE PLANE. |

1.-Introduction to Basic Constructions Using Compass and Ruler or Straight Edge/Protractor. |

2.-Basic Construction Videos |

3.- Constructing a Triangle Circumscribing a Circle (Incenter) |

4.- Constructing a Circle Circumscribing a Triangle (Circumcenter) |

5.- Translations with Plane Geometry. |

6.- Rotations with Plane Geometry. |

7.- Reflections with Plane Geometry. |

8.- Translations in the Coordinate Plane. |

9.- Rotations in the Coordinate Plane. |

10.- Reflections in the Coordinate Plane. |

11.- Hands-On Transformations Using Geoboards and the Coordinate Plane. |

12.- Using Technology and Miniboards with 1/8 square Grid to Perform Animation of a Doll. |

13.- Transformations application. Planes flying over yosemite national park |

14.- Reflecting half a polygon along its line of symmetry when reflected points can not be obtained by counting in the grid. |

15.- Lesson about Non-Congruent Transformations or Dilations. |

16.- Lesson about composition of congruent transformations. |

LONG DURATION DEMO OF HOW TO INTERACT (Several Minutes but worthwhile)