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9 10 <title>INTERACTIVE GEOMETRY LESSONS IN POWERPOINT</title> 11 <meta name="keywords" content="math, lessons, powerpoint, geometry, algebra, theorems, postulates, proofs, triangles, quadrilaterals, polygons, circles, solids, circle"> 12</head> 13<body bgcolor="#FFFFCC"> 14<p></p> 15 16<p align="center"><a href="DEMO-INTERACTION-STYLUS/index.html" target="_blank" title="Quick Interacting Guide">CLICK HERE FOR A DEMONSTRATION</a> OF<strong> HOW TO INTERACT </strong></p> 17 18<p align="center"><strong>WITH THESE LESSONS</strong> (Click inside the graphic and Press Play Arrow Button)</p> 19 20<p align="center">Scroll down to find the lessons</p> 21 22<hr /> 23<h1 align="center">PLANE GEOMETRY</h1> 24 25<p align="center"><a href="FORMULAS-THEOREMS-2X2.pdf" target="_blank" title="Theorems and Postulates Concentrate">Most Important Geometric Theorems Postulates and Terms</a></p> 26 27<p align="center"><a href="Teoremas_Postulados_Terminos_Geometricos_PDF.pdf" target="_blank" title="Teoremas Postulados Términos Geométricos">Los más importantes Teoremas Postulados y Términos Geométricos</a></p> 28 29<p align="center"><a href="Formal_Geometry_videos_applets.html" target="_blank" title="Videos Applets or Dynamic Geometric Proofs">Videos of Geometric Dynamic Proofs Formally known as Interactive Applets no longer supported in browsers</a></p> 30 31<p align="center"><a href="geometry-lessons/Ti-nspire_CX_Texas_Instrument-Geometry-App_Intro/index.html" target="_blank" title="Graphing calculators and online applications to perform constructions">GRAPHING CALCULATOR AND ONLINE APPLICATIONS BRIEF GUIDE</a></p> 32 33<hr /> 34<p></p> 35 36<table align="center" border="1" cellpadding="2" cellspacing="3" width="80%"> 37 <tbody> 38 <tr> 39 <td> 40 <div align="center"> 41 <p>CHAPTER 1</p> 42 43 <p>BASIC DEFINITIONS, ANGLE RELATIONSHIPS AND ANGLE PAIRS.</p> 44 </div> 45 </td> 46 </tr> 47 <tr> 48 <td>1.- <a href="geometry-lessons/1_1_intro_lines_points_planes/index.html" target="_blank" title="Basic Plane Geometry Definitions">Basic Geometric Definitions</a>: Lines, Angles, Planes, Segment Addition Postulate, Midpoint, Distance Formula.</td> 49 </tr> 50 <tr> 51 <td>2.- <a href="geometry-lessons/1_1_Complementary_Supplemantary_Congr/index.html" target="_blank" title="Angle Pairs: Complementary, Supplementary, Vertical and Linear Pair">Complementary, Supplementary, Linear Pair, and Vertical Angles:</a> Definitions and Algebraic Proofs with Geometry.</td> 52 </tr> 53 <tr> 54 <td>3.- <a href="geometry-lessons/1_1_Comp_Supl_Word_Prob/index.html" target="_blank" title="Word Problems with Angle Pairs: Complementary, Supplementary Angles.">Angle Pairs</a>: Complementary, and Supplementary Angles as Word Problems.</td> 55 </tr> 56 <tr> 57 <td>4.- <a href="geometry-lessons/1_1_Geolegs_Comp_Suppl/index.html" target="_blank" title="Angle Pairs with Geolegs">Angle Pairs with Geolegs (manipulatives hands on approach):</a> Complementary, Supplementary and Vertical Angles.</td> 58 </tr> 59 <tr> 60 <td>5.- <a href="geometry-lessons/1_2_Angles_in_Parallel_lines/index.html" target="_blank" title="Angle Pairs in Parallel Lines. Corresponding, Alternate Interior, Alternate Exterior and Consecutive Interior or Same Side Interior Angle Pairs in Parallel Lines Cut by a Transversal.">Angle Pairs in Parallel Lines:</a> Corresponding, Alternate Interior and Alternate Exterior, and Consecutive Interior Angles.</td> 61 </tr> 62 <tr> 63 <td> 64 <div align="center"> 65 <p>CHAPTER 2</p> 66 67 <p>ANGLE RELATIONSHIPS IN PROOFS, INDUCTIVE AND DEDUCTIVE REASONING. SLOPE.</p> 68 </div> 69 </td> 70 </tr> 71 <tr> 72 <td>1a.- <a href="geometry-lessons/1_3_Inductive_vs_Deductive/index.html" target="_blank" title="Inductive vs. Deductive Reasoning. If-Then statements. Converse, Reciprocal, Inverse Statements. Laws of Syllogism and Detachment.">Inductive and Deductive Reasoning:</a> If - Then Statements, Law of Syllogism and Law of Detachment.</td> 73 </tr> 74 <tr> 75 <td>1b.- <a href="geometry-lessons/1_3_Inductive_vs_Deductive_Spanish" target="_blank" title="Introduccion al Razonamiento Inductivo y Deductivo: Enunciados Condicionales Si...Entonces sus enunciados conversos, reciprocos, contra positivos e inversos (si usamos proposicion todos son femeninos: Conversa, inversa, etc) ">Introduccion al Razonamiento Inductivo y Deductivo:</a> Enunciados Condicionales Si...Entonces sus enunciados conversos, reciprocos, contra positivos e inversos (si usamos proposicion todos son femeninos: Conversa, inversa, etc)</td> 76 </tr> 77 <tr> 78 <td>2.- <a href="geometry-lessons/1_3_proofs_segments_angle_relationships/index.html" target="_blank" title="Two Column Proofs involving Angle Pairs and Segment Addition Postulate.">Two Column Proofs Involving Segment and Angle Relationships:</a> Two Column Proofs, Flow Proofs and Paragraph Proofs with Segment Addition Postulate and Angle Pairs.</td> 79 </tr> 80 <tr> 81 <td>3.- <a href="geometry-lessons/1_2_Intro_slope_par_perp/index.html" target="_blank" title="An introduction to slope concept. Parallel, Skew and Perpendicular Lines and Planes.">Slope Introduction: </a>Slope of a Linear Equation. Horizontal, Vertical, Falling to the Right or to the Left. Parallel vs Skew Lines. Parallel and Perpendicular Planes.</td> 82 </tr> 83 <tr> 84 <td> 85 <div align="center"> 86 <p>CHAPTER 3: TRIANGLES</p> 87 88 <p>
88PROVING TRIANGLES CONGRUENT AND TRIANGLE INEQUALITY.</p> 89 </div> 90 </td> 91 </tr> 92 <tr> 93 <td>1.-<a href="geometry-lessons/1_4_Proving_Congruent_Triangles/index.html" target="_blank" title="Using Algebra and Geometry to Prove Triangles Congruent. Proofs with Algebra and Geometry."> Proving Triangles Congruent:</a> Algebraic - Geometric Proofs to Prove Triangles Congruent.</td> 94 </tr> 95 <tr> 96 <td>2.- <a href="geometry-lessons/1_5_Proving_Congruent_SSS_SAS_ASA_AAS/index.html" target="_blank">Proving Triangles Congruent:</a> SSS, ASA, SAS, AND AAS.</td> 97 </tr> 98 <tr> 99 <td>3a.- <a href="geometry-lessons/1_7_Proofs_triangles_congruence/index.html" target="_blank" title="Two Column Proofs To Prove Triangles are Congruent using Congruence Theorems like SSS, ASA, AAS, and SAS.">Two Column Proofs Involving Triangle Congruence: </a>Two Column Proofs and Flow Proofs using Angle Relationships and SSS, ASA, SAS, and AAS.</td> 100 </tr> 101 <tr> 102 <td>3b.- <a href="geometry-lessons/1_7_Proofs_triangles_congruence_sp/index.html" target="_blank" title="Demostraciones Con Tablas de Dos Columnas con Enuanciados y Razones, Demostraciones de Flujo y Demostraciones de Parrafo involucrando Triangulos y Quadrilateros">Demostraciones Con Tablas de Dos Columnas con Enuanciados y Razones, Demostraciones de Flujo y Demostraciones de Parrafo involucrando Triangulos y Quadrilateros: </a>Usando los teoremas y postulados de LLL, LAL, ALA y AAL.</td> 103 </tr> 104 <tr> 105 <td>4.- <a href="geometry-lessons/1_6_Triangle_Inequality_Side_between/index.html" target="_blank" title="One and Two Triangle Inequality Theorems used to order sides and angles in ascending and descending order and more.">One and Two Triangle Inequality Theorems:</a> Ordering sides and Angles Using Triangle Inequality.</td> 106 </tr> 107 <tr> 108 <td>5.- <a href="geometry-lessons/1_5_b_congruence_statements-Review/index.html" target="_blank" title="Lesson Drilling Geometric Statements. How to Write Them and How to Interpret them.">Drilling in Geometric Statements:</a> Congruent Geometric Statements and How to Write them and Read them Properly.</td> 109 </tr> 110 <tr> 111 <td>6.- <a href="geometry-lessons/Proofs_by_Contradiction/index.html" target="_blank" title="Introduction to proofs by contradiction in paragraph format and two-column format">Introduction to proofs by contradiction in paragraph format and two-column format</a></td> 112 </tr> 113 <tr> 114 <td> 115 <div align="center"> 116 <p>CHAPTER 4</p> 117 118 <p>QUADRILATERALS AND THEIR PROPERTIES IN GEOMETRIC AND ALGEBRAIC PROOFS.</p> 119 </div> 120 </td> 121 </tr> 122 <tr> 123 <td>1.- <a href="geometry-lessons/2_1_Quadrilaterals_Properties/index.html" target="_blank" title="A Review of Properties of Quadrilaterals from Regular Parallelograms to Special Quadrilaterals like squares, rhombi, rectangles and trapezoids.">Properties of Quadrilaterals:</a> Squares, Rhombi, Rectangles, Parallelograms and Trapezoids.</td> 124 </tr> 125 <tr> 126 <td>2.- <a href="geometry-lessons/2_1_1_Quadrilateral_Proiperties_Proofs_Transformations/index.html" target="_blank" title="Proving Properties of Special Quadrilaterals using Congruent, or Isometric, or Rigid Transformations.">Proving Properties of Special Quadrilaterals using Congruent, or Isometric, or Rigid Transformations.</a></td> 127 </tr> 128 <tr> 129 <td>3.- <a href="geometry-lessons/2_1_Segments_in_Parallelograms_Rectan/index.html" target="_blank" title="Problems involving angles and segments in regular parallelograms using algebra and plane geometry properties and theorems.">Segments and Angles in Parallelograms:</a> Problems Involving Angles and Segments in Regular Parallelograms and Rectangles.</td> 130 </tr> 131 <tr> 132 <td>4.- <a href="geometry-lessons/2_2_Segments_Rhombi_Squares/index.html" target="_blank" title="Problems that involve proofs with angles and segments in squares and rhombi.">Segments and Angles in Squares and Rhombi:</a> Problems that Include Angles and Segments in Squares and Rhombi.</td> 133 </tr> 134 <tr> 135 <td>5.- <a href="geometry-lessons/2_3_Segments_Trapezoids/index.html" target="_blank" title="Angles and Segments found in problems that involve regular and isosceles trapezoids.">Segments and Angles in Regular and Isosceles Trapezoids:</a> Problems Deal with Segments and Angles in Trapezoids.</td> 136 </tr> 137 <tr> 138 <td>6.- <a href="geometry-lessons/2_4_Proofs_quadrilaterals_and_triangles_together/index.html" target="_blank" title="Proofs involving triangles and quadrilaterals.">Two Column Proofs with Quadrilaterals and Triangles: </a>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.</td> 139 </tr> 140 <tr> 141 <td> 142 <div align="center"> 143 <p>INSIDE EACH LESSON YOU MAY DO AS THIS GRAPHIC SHOWS</p> 144 </div> 145 146 <div align="center"> 147 <p><img height="499" src="directions-slides.png" width="701" /></p> 148 149 <p></p> 150 151 <hr /> 152 <p>CHAPTER 5</p> 153 154 <p>PROPORTIONAL REASONING SIMILARITY AND TRIGONOMETRY.</p> 155 </div> 156 </td> 157 </tr> 158 <tr> 159 <td>1.- <a href="geometry-lessons/3_1_Similar_Triangles/index.html" target="_blank" title="Similarity applied to two triangles and cases of transversals to pairs of lines.">Similarity Theorems AA, SAS and AAA</a>. Similarity Applied to Two Triangles and Lines Cut by Transversals.</td> 160 </tr> 161 <tr> 162 <td>2.- <a href="geometry-lessons/3_1_Similar_Triangles2/index.html" target="_blank" title="Similarity applied to special segments in triangles. Segments such Medians, Altitudes, Angle and Perpendicular Bisectors.">
162Similarity Theorems Involving Special Segments In Triangles:</a> Atltitudes, Medians, Angle Bisectors and Perpendicular Bisectors Similarity Relationships in Triangles.</td> 163 </tr> 164 <tr> 165 <td>3.- <a href="geometry-lessons/3_2_Right_Trian_Simil/index.html" target="_blank" title="Right Triangle Similarity when an altitude is drawn from the right angle to the hypothenuse.">Similarity Applied in a Right Triangle:</a> Drawing a height to the Right Angle of A Right Triangle.</td> 166 </tr> 167 <tr> 168 <td>4.- <a href="geometry-lessons/3_1_Proofs_triangles_similarity/index.html" target="_blank" title="Proofs involving similarity in triangles.">Proofs in Two Column Format involving similarity in triangles.</a> Two Column Proofs and Flow Proofs for Similarity.</td> 169 </tr> 170 <tr> 171 <td>5.- <a href="Trigonometry_AP/1_1_Using_30_60_90_and_45_45_90_ratios/index.html" target="_blank" title="Special Right Triangles and their relationships in terms of angles and segments.">30°-60°-90° and 45°-45°-90° Triangles:</a> This lesson deals with special right triangles from the geometric informal proof to solution of some examples and very soon we are going to add suggested application problems. It has a set of videos to review concepts used in the proofs like special lines and segments in triangles, Pythagorean Theorem, and since browsers dropped the support for applets a few videos of applets than by themselves constitute a very robust dynamic geometric proof.</td> 172 </tr> 173 <tr> 174 <td>6.- <a href="geometry-lessons/Similarity-Right_Triangle_30-60-90/index.html" target="_blank" title="Similarity in Special Right Triangles">Similarity in Special Right Triangles using Dilations</a> Enrichment Lesson. See dilation lessons at bottom of this webpage before visiting this.</td> 175 </tr> 176 <tr> 177 <td>7.- <a href="Trigonometry_AP/1_2_Trigonometry_Problems/index.html" target="_blank" title="Right Triangle Trigonometry to find sides and angles involving sine, cosine and tangent.">Right Triangle Trigonometry: </a>Right Triangle Ratios of Sine, Cosine and Tangent Applied to Solutions of Problems Involving Segments and Angles.</td> 178 </tr> 179 <tr> 180 <td>8.- <a href="Trigonometry_AP/1_3_The_Law_of_Sines_and_Cosines/index.html" target="_blank" title="Trigonometry involving Laws of Sines and Cosines in Acute and Obtuse Triangles.">Laws of Sines and Cosines:</a> Trigonometry Applied to Acute and Obtuse Triangles Using the Laws of Sine and Cosine.</td> 181 </tr> 182 <tr> 183 <td>9.- <a href="Trigonometry_AP/1_10_RADIANS-VS-DEGREES_unit_circle_special_right_triangles_30-6-90_45-45-90/index.html" target="_blank" title="Trigonometry learning about difference between radians and degrees related to concept of coterminal sides Radians and degrees in coterminal sides using special right triangles 30°- 60°-90° and 45°-45°-90°.">Learning about angle measurement units:</a> Radians and degrees in coterminal sides using special right triangles 30°- 60°-90° and 45°-45°-90°</td> 184 </tr> 185 <tr> 186 <td> 187 <div align="center"> 188 <p>CHAPTER 6</p> 189 190 <p>ANGLES, ARCS AND SEGMENTS IN CIRCLES.</p> 191 </div> 192 </td> 193 </tr> 194 <tr> 195 <td>1.- <a href="geometry-lessons/4_1_Central_Angles_and_Arcs/index.html" target="_blank" title="Arcs, Segments, Angles in Circles. Basic Definitions.">Basic Definitions For Circles: </a>Arcs, Chords, Central Angles, Inscribed Angles and Arc Addition Postulate.</td> 196 </tr> 197 <tr> 198 <td>2.- <a href="geometry-lessons/4_2_Congruent_Chords/index.html" target="_blank" title="Theorems involving congruent circles or individual circles and their chords, arcs and angles (central and inscribed)">Theorems Involving Congruent Chords and Intersecting Chords in Circles.</a> Applied to Individual Circles or Several Circles.</td> 199 </tr> 200 <tr> 201 <td>3.- <a href="geometry-lessons/4_3_Inscribed_Angles_and_Arcs/index.html" target="_blank" title="Problems applying Central and Inscribed Angles and some including Quadrilaterals to find segments, angles, and arcs.">Inscribed and Central Angles:</a> Problems that Focus in Inscribed and Central Angles Usings Triangles and Parallelograms.</td> 202 </tr> 203 <tr> 204 <td>4.- <a href="geometry-lessons/4_4_Arcs_and_Angles/index.html" target="_blank" title="Angles and Arcs created by segments that intersect inside, on or outside the circle: Secants and Tangents.">Arcs and Angles Formed by Secants, and Tangents in a Circle:</a> 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.</td> 205 </tr> 206 <tr> 207 <td>5.-<a href="geometry-lessons/4_5_Segments_Tangents_and_Secants/index.html" target="_blank" title="Segments generated by chords, secants and tangents intersecting inside, outside or on the circle."> Segment Relationships Created by Chords, Secants and Tangents.</a> Chords, Secants and Tangents and the Segments that They Create When Intersecting Inside, On or Outside the Circle.</td> 208 </tr> 209 <tr> 210 <td>6 a1.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs1/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 1.">Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants involving angle and arc relationships with segments in circles.</a></td> 211 </tr> 212 <tr> 213 <td>6 a2.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs1_SP/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 1.">Demostraciones Geométricas con rayos, cuerdas, tangentes, y secantes en relaciones angulares de ángulo y arco en círculos.</a></td> 214 </tr> 215 <tr> 216 <td>6 b1.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs2/index.html" target="_blank" title="Proofs involving Circles and their chords, secants and tangents. Part 2.">Geometric Two Column Proofs Involving Circles with Chords, Tangents and Secants involving segment relationships in circles. </a></td> 217 </tr> 218 <tr> 219 <td>6 b2.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs2_SP/index.html" target="_blank" title="Demostraciones involucrando tangentes, secantes, cuerdas y ángulos en cÃrculos. Part 2.">Demostraciones involucrando tangentes, secantes, cuerdas y relaciones entre segmentos en círculos</a></td> 220 </tr> 221 <tr> 222 <td>6 c1.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs1_using_TX-nspire_CX_graphing-calculator_Texas-Instrument/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument">Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument</a></td> 223 </tr> 224 <tr> 225 <td>6 c2.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs2_using_TX-nspire_CX_graphing-calculator_Texas-Instrument/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument">Proofs with circles involving chords, secants and tangents. Part 1 performed using Ti-nspire CX graphing calculator from Texas Instrument</a></td> 226 </tr> 227 <tr> 228 <td>6 c3.- <a href="geometry-lessons/4_6_Proofs_circles_angles_segments_arcs3_using_TX-nspire_CX_graphing-calculator_Texas-Instrument/index.html" target="_blank" title="Proofs with circles involving chords, secants and tangents. Part 3 performed using Ti-nspire CX graphing calculator from Texas Instrument">Proofs with circles involving chords, secants and tangents. Part 3 performed using Ti-nspire CX graphing calculator from Texas Instrument</a></td> 229 </tr> 230 <tr> 231 <td> 232 <div align="center"> 233 <p>CHAPTER 7</p> 234 235 <p>AREAS IN POLYGONS (REGULAR AND IRREGULAR)</p> 236 </div> 237 </td> 238 </tr> 239 <tr> 240 <td>1.- <a href="geometry-lessons/5_1_Angle_Measure_in_Polygons/index.html" target="_blank" title="Interior and Exterior Angles in Polygons.">Angle Measure in Polygons:</a> Interior and Angles in Polygons.</td> 241 </tr> 242 <tr> 243 <td>2.- <a href="geometry-lessons/5_2_Areas_Paralleg_Rectang/index.html" target="_blank" title="Calculating Areas of Common Parallelograms and Rectangles.">Calculating Areas in Parallelograms and Rectangles.</a></td> 244 </tr> 245 <tr> 246 <td>3.- <a href="geometry-lessons/5_3_Areas_Rhombi_Trapezoid_and_Triang/index.html" target="_blank" title="Calculating Areas of Rhombi, Trapezoids (Regular and Isosceles) and Triangles.">Calculating Areas in Rhombi, Trapezoids and Triangles.</a></td> 247 </tr> 248 <tr> 249 <td>4.- <a href="geometry-lessons/5_4_Areas_Special_Triangles/index.html" target="_blank" title="Calculating Areas of Special Triangles. Involving Trigonometry, Special Right Triangles, and Pythagorean Theorem.">Areas of Triangles: Special Cases.</a> Involving Pythagorean Theorem, Special Right Triangles and Trigonometry.</td> 250 </tr> 251 <tr> 252 <td>5.- <a href="geometry-lessons/5_5_Areas_Regular_Polygons/index.html" target="_blank" title="Calculating Areas of Regular Polygons: Triangles, Squares, Pentagons, Hexagons, etc.">Calculating Areas of Regular Polygons:</a> Areas of Equilateral Triangles, Squares, Pentagons, Hexagons, etc.</td> 253 </tr> 254 <tr> 255 <td> 256 <div align="center"> 257 <p>CHAPTER 8</p> 258 259 <p>SURFACE AREA AND VOLUME (PLATONIC SOLIDS)</p> 260 </div> 261 </td> 262 </tr> 263 <tr> 264 <td>1.- <a href="geometry-lessons/6_1_Surf_Area_Vol_Cylinders/index.html" target="_blank" title="Finding Surface Area and Volume of CYLINDERS.">Finding Surface Area and Volume of CYLINDERS.</a></td> 265 </tr> 266 <tr> 267 <td>2.- <a href="geometry-lessons/6_2_Surf_Area_Vol_Prisms/index.html" target="_blank" title="Finding Surface Area and Volume of PRISMS.">Finding Surface Area and Volume of PRISMS.</a></td> 268 </tr> 269 <tr> 270 <td>3.- <a href="geometry-lessons/6_2A_Prisms_Base_10_Blocks/index.html" target="_blank" title="Finding Surface Area and Volume of Solids Built with Base 10 Blocks.">Finding Surface Area and Volume of Solids Built with Base 10 Blocks.</a></td> 271 </tr> 272 <tr> 273 <td>4.- <a href="geometry-lessons/6_3_Surf_Area_Vol_Cones/index.html" target="_blank" title="Finding Surface Area and Volume of CONES.">Finding Surface Area and Volume of CONES.</a></td> 274 </tr> 275 <tr> 276 <td>5.- <a href="geometry-lessons/6_4_Surf_Area_Vol_Pyramids/index.html" target="_blank" title="Finding Surface Area and Volume of PYRAMIDS.">Finding Surface Area and Volume of PYRAMIDS.</a></td> 277 </tr> 278 <tr> 279 <td>6.- <a href="geometry-lessons/6_5_Surf_Area_Volu_Sphere/index.html" target="_blank" title="Finding Surface Area and Volume of SPHERES.">Finding Surface Area and Volume of SPHERES.</a></td> 280 </tr> 281 <tr> 282 <td> 283 <div align="center"> 284 <p>CHAPTER 9</p> 285 286 <p>SURFACE AREA AND VOLUME COMPOSITE SOLIDS</p> 287 288 <p>PLATONIC SOLIDS TOGHETER AND/OR REMOVED ONE FROM THE OTHER</p> 289 </div> 290 </td> 291 </tr> 292 <tr> 293 <td>1.- <a href="geometry-lessons/7_1_Compostite_S.A._Volumes_Add_Solids/index.html" target="_blank" title="Calculating Surface Area and Volume of Composite Solids by Adding Solids.">Calculating Surface Area and Volume of Composite Solids by Adding Solids.</a></td> 294 </tr> 295 <tr> 296 <td>2.- <a href="geometry-lessons/7_2_Compostite_S.A._Volumes_Subtract_Solids/index.html" target="_blank" title="Calculating Surface Area and Volume of Composite Solids by Subtracting Solids.">Calculating Surface Area and Volume of Composite Solids by Subtracting Solids.</a></td> 297 </tr> 298 <tr> 299 <td>3.- <a href="geometry-lessons/7_3_Compostite_S.A._Volu_Add_Subtract_Solids/index.html" target="_blank" title="Calculating Surface Area and Volume of Composite Solids by Adding and Subtracting Solids.">Calculating Surface Area and Volume of Composite Solids by Adding and Subtracting Solids.</a></td> 300 </tr> 301 <tr> 302 <td>4.- <a href="geometry-lessons/7_4_Compostite_S.A._Volu_Add_Subtract_Solids_APPLICATION-PROBLEM/index.html" target="_blank" title="Calculating Surface Area and Volume of Composite Solids in buildings to estimate areas to give maintenance and volumes to dimension AC units for example. Applications in the machining shop.">Calculating Surface Area and Volume of Composite Solids in buildings to estimate areas to give maintenance and volumes to dimension AC units for example. Applications in the machining shop.</a></td> 303 </tr> 304 <tr> 305 <td> 306 <div align="center"> 307 <p>CHAPTER 10</p> 308 309 <p>PLANE GEOMETRY AND CALCULUS IN SURFACE AREA AND VOLUME</p> 310 311 <p>OF SOLIDS OF REVOLUTION AND MATHEMATICAL MODELS INVOLVING SOLIDS.</p> 312 </div> 313 </td> 314 </tr> 315 <tr> 316 <td>1.- <a href="geometry-lessons/limits-geometry-vs-calculus-SURFACE-AREA/index.html" target="_blank" title="Surface Area of Solids of Revolution Using Plane Geometry and Calculus.">Surface Area of Solids of Revolution Using Plane Geometry and Calculus.</a></td> 317 </tr> 318 <tr> 319 <td>2.- <a href="geometry-lessons/limits-geometry-vs-calculus-VOLUME/index.html" target="_blank" title="Volume of Solids of Revolution Using Plane Geometry and Calculus.">Volume of Solids of Revolution Using Plane Geometry and Calculus.</a></td> 320 </tr> 321 <tr> 322 <td>3.- <a href="geometry-lessons/solids-revolution-drill/index.html" target="_blank" title="Animation of Area Revolving and Forming a Solid Of Revolution.">Animation of Area Revolving and Forming a Solid Of Revolution.</a></td> 323 </tr> 324 <tr> 325 <td>4.- <a href="geometry-lessons/partial_solution_Quick_Bottle/index.html" target="_blank" title="Mathematical Modeling of Vases Filling with Color Water">Mathematical Modeling with Two Halves of a Bottle</a> Calculating Surface Area and Volume From the Math Model.</td> 326 </tr> 327 <tr> 328 <td> 329 <div align="center"> 330 <p>CHAPTER 11</p> 331 332 <p>BASIC CONSTRUCTIONS AND TRANSFORMATIONS</p> 333 334 <p>WITH PLANE GEOMETRY AND THE COORDINATE PLANE.</p> 335 </div> 336 </td> 337 </tr> 338 <tr> 339 <td>1.-<a href="geometry-lessons/8_6_Basic_Constructions/index.html" target="_blank" title="Introduction to Basic Constructions Using Compass and Ruler or Straight Edge/Protractor.">Introduction to Basic Constructions Using Compass and Ruler or Straight Edge/Protractor.</a> This lesson takes you step by step (click by click) through the constructions.
339</td> 340 </tr> 341 <tr> 342 </tr> 343 <tr> 344 <td>2.-<a href="geometry-lessons/Constructions-compass-ruler_videos_1/index.html" target="_blank" title="Basic Construction Videos: Perpendicular Bisector and Perpendiculars to a point, Angle Bisector.">Basic Construction Videos: Perpendicular Bisector and Perpendiculars to a point, Angle Bisector.</a> These lessons are videos that may be paused or back/for-warded.</td> 345 </tr> 346 <tr> 347 <td>3.-<a href="geometry-lessons/Constructions-compass-ruler_videos_2/index.html" target="_blank" title="Basic Construction Videos: 30°, 45°, and 60° Angles, and Equilateral Equiangular Triangle.">Basic Construction Videos: 30°, 45°, and 60° Angles, and Equilateral Equiangular Triangle.</a> These lessons are videos that may be paused or back/for-warded.</td> 348 </tr> 349 <tr> 350 <td>4.-<a href="geometry-lessons/Constructions-compass-ruler_videos_3/index.html" target="_blank" title="Basic Construction Videos: Parallel Lines, Regular Polygons (Equilateral Triangle and Hexagon)">Basic Construction Videos: Parallel Lines, Regular Polygons (Equilateral Triangle and Hexagon)</a> These lessons are videos that may be paused or back/for-warded.</td> 351 </tr> 352 <tr> 353 <td>5.- <a href="geometry-lessons/8_1_Incenter/index.html" target="_blank" title="Constructing a Triangle Circumscribing a Circle (Incenter)">Constructing a Triangle Circumscribing a Circle (Incenter)</a></td> 354 </tr> 355 <tr> 356 <td>6.- <a href="geometry-lessons/8_2_Circumcenter/index.html" target="_blank" title="Constructing a Circle Circumscribing a Triangle (Circumcenter)">Constructing a Circle Circumscribing a Triangle (Circumcenter)</a></td> 357 </tr> 358 <tr> 359 <td>7.- <a href="geometry-lessons/8_3_Translations/index.html" target="_blank" title="Translations with Plane Geometry.">Translations with Plane Geometry.</a></td> 360 </tr> 361 <tr> 362 <td>8.- <a href="geometry-lessons/8_5_Rotations/index.html" target="_blank" title="Rotations with Plane Geometry.">Rotations with Plane Geometry.</a></td> 363 </tr> 364 <tr> 365 <td>9.- <a href="geometry-lessons/8_4_Reflections/index.html" target="_blank" title="Reflections with Plane Geometry.">Reflections with Plane Geometry.</a></td> 366 </tr> 367 <tr> 368 <td>10.- <a href="geometry-lessons/8_3a_Translations_Coordinate_Plane/index.html" target="_blank" title="Translations in the Coordinate Plane.">Translations in the Coordinate Plane.</a></td> 369 </tr> 370 <tr> 371 <td>11.- <a href="geometry-lessons/8_5a_Rotations_Coordinate_Plane/index.html" target="_blank" title="Rotations in the Coordinate Plane.">Rotations in the Coordinate Plane.</a></td> 372 </tr> 373 <tr> 374 <td>12.- <a href="geometry-lessons/8_4a_Reflections_Coordinate_Plane/index.html" target="_blank" title="Reflections in the Coordinate Plane.">Reflections in the Coordinate Plane.</a></td> 375 </tr> 376 <tr> 377 <td>13.- <a href="geometry-lessons/Geoboard_Transformation_Activities/index.html" target="_blank" title="Hands-On Transformations Using Geoboards and the Coordinate Plane.">Hands-On Transformations Using Geoboards and the Coordinate Plane.</a></td> 378 </tr> 379 <tr> 380 <td>14.- <a href="geometry-lessons/STUDENT-ASSESSMENT/index.html" target="_blank" title="Using Technology and Mini Boards with 1/8 square Grid to Perform Animation of a Doll.">Using Technology and Mainboards with 1/8 square Grid to Perform Animation of a Doll.</a></td> 381 </tr> 382 <tr> 383 <td>15.- <a href="geometry-lessons/Rotations-app-plane-flight-prog3 MOVIE-FLIGHT-V1/index.html" target="_blank" title="Transformations application.">Transformations application.</a> Planes flying over yosemite national park</td> 384 </tr> 385 <tr> 386 <td>16.- <a href="geometry-lessons/Reflecting_figures_to_create_polygons/index.html" target="_blank" title="Reflecting half a polygon along its line of symmetry when reflected points can not be obtained by counting in the grid.">Reflecting half a polygon along its line of symmetry when reflected points can not be obtained by counting in the grid.</a></td> 387 </tr> 388 <tr> 389 <td>17.- <a href="geometry-lessons/8_7_Non_Congruent_Transformations_Dilations/index.html" target="_blank" title="Lesson about Non-Congruent Transformations or Dilations.">Lesson about Non-Congruent Transformations or Dilations. </a></td> 390 </tr> 391 <tr> 392 <td>18.- <a href="geometry-lessons/8_8_Composite_Translations/index.html" target="_blank" title="Lesson about composition of congruent transformations.">Lesson about composition of congruent transformations.</a></td> 393 </tr> 394 <tr> 395 <td>
39519.- <a href="geometry-lessons/Rotational_Symmetry_Line_Symmetry/index.html" target="_blank" title="Lesson about Rotational Symmetry: Order of Rotational Symmetry, Line Symmetry, Point Symmetry on regular and irregular convex polygons inscribed to a circumscribed circle when possible.">Lesson about Rotational Symmetry: Order of Rotational Symmetry, Line Symmetry, Point Symmetry on regular and irregular convex.</a></td> 396 </tr> 397 <tr> 398 <td>20.- <a href="geometry-lessons/8_9_Applying_Proportional_Reasoning_in_a_Blueprint_printing/index.html" target="_blank" title="Lesson about an application to get a printout of a blueprint with the proper scale using PowerPoint or Google Earth and calculating the areas using Google Earth of a parcel and its structures">Lesson about an application to get a printout of a blueprint with the proper scale using PowerPoint or Google Earth and calculating the areas using Google Earth of a parcel and its structures</a></td> 399 </tr> 400 <tr> 401 <td>21.- <a href="geometry-lessons/Regular_polygons_by_approximation_touch_screen/index.html" target="_blank" title="templates_touch_screen_regular_polygons">Construct Regular Polygons by Approximation in a touch-screen with no compass needed.</a></td> 402 </tr> 403 <tr> 404 <td>22.- <a href="geometry-lessons/Non-digital_Compass_and_Ruler_constructions_mini_iPad_hands-on_kinesthetic-experience/index.html" target="_blank" title="Merging the digital tools of a mini-iPad with physical compass, ruler or straightedge and protractor in geometric constructions.">Videos about Merging the digital tools of a mini-iPad with physical compass, ruler or straightedge and protractor in geometric constructions.</a></td> 405 </tr> 406 <tr> 407 <td>23.- <a href="geometry-lessons/Constructions_Compass_Ruler_videos_proof_C-and-R/index.html" target="_blank" title="Performing proofs with compass and ruler and presenting afterwards of other proof formats.">Performing proofs with compass and ruler and presenting afterwards of other proof formats.</a></td> 408 </tr> 409 </tbody> 410</table> 411 412<p align="center"></p> 413 414<p align="center"><a href="geometry-lessons/DEMO-TOOLS/index.html" target="_blank" title="Long Interactive Guide">LONG DURATION DEMO OF HOW TO INTERACT</a> (Several Minutes but worthwhile)</p> 415 416<p align="center"><a href="https://mrperezonlinemathtutor.com/" title="MrPerezOnlineMathTutor.com">HOME</a></p> 417 418<div align="center"> 419<table border="3" cellpadding="2" cellspacing="3" width="80%"> 420 <tbody> 421 <tr> 422 <td> 423 <div align="center"><a href="algebra_1_and_2.html" target="_blank" title="Algebra 1&2"><img alt="algebra 1 and 2" height="30" longdesc="Lessons in PowerPoint for Algebra 1 and 2" src="images1/ALGEBRA1-2.png" width="96" /></a></div> 424 </td> 425 <td> 426 <div align="center"><a href="geometry.html" target="_blank" title="Geometry"><img alt="Geometry" height="30" longdesc="Lessons in PowerPoint for Geometry" src="images1/GEOMETRY.png" width="96" /></a></div> 427 428 <div align="center"><a href="Formal_Geometry.html" target="_blank" title="Formal Geometry"><img alt="Formal Proofs for Geometry" height="30" longdesc="Concentration of formal proofs in geometry" src="images1/FORMAL_PROOFS_BUTTON.png" width="96" /></a></div> 429 </td> 430 <td> 431 <div align="center"><a href="basic-math-lessons.html" target="_blank" title="Basic Math"><img alt="Basic Math" height="30" longdesc="Lessons in PowerPoint for Basic Math" src="images1/BASICMATH.png" width="96" /></a></div> 432 </td> 433 <td> 434 <div align="center"><a href="Trigonometry.html" target="_blank" title="Trigonometry"><img alt="Trigonometry" height="30" longdesc="Lessons in PowerPoint for Trigonometry" src="images1/TRIGONOMETRY.png" width="96" /></a></div> 435 </td> 436 <td> 437 <div align="center"><a href="AP_Statistics.html" target="_blank" title="Statistics and Probability Introduction"><img alt="Ap_Statistics" height="30" longdesc="Lessons in PowerPoint for Statistics and Probability: Introductory Course." src="images1/STATISTICS-PROBABILITY.png" width="96" /></a></div> 438 439 <div align="center"><a href="Introduction_to_calculus.html" target="_blank" title="Calculus Introduction"><img alt="Introduction to Calculus" height="30" longdesc="Lessons intended to give a glimpse of Calculus to High Schoolers that have not gone through the subject." src="images1/CALCULUS.png" width="96" /></a></div> 440 </td> 441 <td> 442 <div align="center"><a href="geometry_quizzes.html" target="_blank" title="Simple Quizzes for Geometry"><img alt="Practice for Geometry: Quizzes" height="30" longdesc="Simple Quizzes for Geometry that go with the geometry section of this website" src="images1/GEOMETRYQUIZZES.png" width="96" /></a></div> 443 </td> 444 </tr> 445 </tbody> 446</table> 447</div> 448 449<p align="center"></p> 450</body> 451</html>
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