Geometry For Secondary Or High School [Full Course]
Published 11/2024
MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 2.22 GB | Duration: 11h 28m
Published 11/2024
MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 2.22 GB | Duration: 11h 28m
Lines. Distances. Angles. Proofs. Coordinates. Triangles. Circles. Polygons. Volumes. Congruence. Similarity.
What you'll learn
Understand the postulates and axioms about lines, rays, line segments or segments.
Understand the postulates about distance and apply these to triangle inequality concepts.
Understand the concept and postulate of angles in geometry.
Evaluate and prove certain statements mathematically.
Understand the concepts and postulates of a right triangle.
Illustrate the concepts and postulates of angles in a triangle.
Familiarize the coordinate systems.
Write and formulate the equation of the line given points and a slope.
Calculate the distance between points on a line, arbitrary points, higher dimensional space.
Calculate the area of a complex shape triangle and trapezoid.
Apply Pythagoras theorem in calculating and analyzing isosceles and equilateral triangles.
Evaluate and formulate the equation of a circle.
Apply theorems about circles in calculating inscribed angles.
Solve a volume of solid figures.
Analyze and evaluate polygons.
Discuss and apply Euclid's test for congruence.
Evaluate special triangles.
Explain and evaluate similar triangles.
Analyze and solve examination-like problems.
Illustrate and apply the underlying concepts and laws of geometry.
Requirements
Elementary or basic algebra.
Nonetheless, you will learn everything you need to know through solved exercises.
Description
Imagine you read the whole book of geometry for secondary or high school and solve most of the exercises. Wow! That’s amazing! Well, that's what you will get if you enroll because this course is based on a number of geometry books. Every topic of those books were compared, compiled and discussed then solved most of the difficult and essential exercises.So, if you asked for more and more solved examples, then this course is for you! There are more courses out there offering lectures but few to none have given a lot of solved exercises or examples. The course will be a supplementary or could be used as a main reference to understand the subject geometry for secondary or high school. To ensure that, inclusive to this course are concept overview and lots of solved exercises. Certainly, these solved exercises will help understand concepts, postulates and axioms better and well.The author’s aim is simple, that is to teach mathematics by comprehension. As the world and generation changed, the teaching style must follow. This is what we call the innovation in teaching. To do that, a simple brief lecture must be followed by lots and lots of examples applying the mathematics topic that have been discussed. In that manner, the knowledge is transferred by showing them how the theorem and axioms work.The author deeply believes that mathematics is a great tool for advancement and discovering things. Through this innovation of teaching, the tools have been presented and it’s up to the future generation on how they are going to use these tools in order to improve life, hopefully.Thank you very much and have fun!..Note: If you are under 18 years old, please seek advice and guidance from your parents or guardian in enrolling in the course. Thank you. Share this course to your friends, relatives and families. Sharing is caring.Note: Please. Please. Please, no reproduction of this work. This can be used in classroom lectures but please no reproduction. Please. You can also use the videos in the YouTube channel but please no reproduction. Thank you very much for your understanding.
Overview
Section 1: Introduction
Lecture 1 Introduction
Section 2: Lines, Distance and Angles
Lecture 2 Lines
Lecture 3 Practice Exercise 1 [Lines]
Lecture 4 Practice Exercise 2 [Lines]
Lecture 5 Practice Exercise 3 [Lines]
Lecture 6 Practice Exercise 4 [Lines]
Lecture 7 Distance
Lecture 8 Practice Exercise 1 [Distance]
Lecture 9 Practice Exercise 2 [Distance]
Lecture 10 Practice Exercise 3 [Distance]
Lecture 11 Practice Exercise 4 [Distance]
Lecture 12 Triangle Inequality
Lecture 13 Practice Exercise 1 [Triangle Inequality]
Lecture 14 Angles
Lecture 15 Practice Exercise 1 [Angles]
Lecture 16 Practice Exercise 2 [Angles]
Lecture 17 Practice Exercise 3 [Angles]
Lecture 18 Practice Exercise 4 [Angles]
Lecture 19 Practice Exercise 5 [Angles]
Section 3: Proofs
Lecture 20 Proofs
Lecture 21 Practice Exercise 1 [Proofs]
Lecture 22 Practice Exercise 2 [Proofs]
Lecture 23 Practice Exercise 3 [Proofs]
Lecture 24 Practice Exercise 4 [Proofs]
Lecture 25 Practice Exercise 5 [Proofs]
Lecture 26 Practice Exercise 6 [Proofs]
Section 4: Right Angles and Angles of a Triangle
Lecture 27 Right Angles
Lecture 28 Practice Exercise 1
Lecture 29 Practice Exercise 2
Lecture 30 Practice Exercise 3
Lecture 31 Practice Exercise 4
Lecture 32 Parallel and Opposite Angles
Lecture 33 Angles of a Triangle
Lecture 34 Practice Exercise 1 [Angles of a Triangle]
Lecture 35 Practice Exercise 2 [Angles of a Triangle]
Lecture 36 Practice Exercise 3 [Angles of a Triangle]
Lecture 37 Practice Exercise 4 [Angles of a Triangle]
Lecture 38 Practice Exercise 5 [Angles of a Triangle]
Lecture 39 Practice Exercise 6 [Angles of a Triangle]
Lecture 40 Practice Exercise 7 [Angles of a Triangle]
Lecture 41 Practice Exercise 8 [Angles of a Triangle]
Lecture 42 Practice Exercise 9 [Angles of a Triangle]
Lecture 43 Practice Exercise 10 [Angles of a Triangle]
Lecture 44 Practice Exercise 11 [Angles of a Triangle]
Lecture 45 Practice Exercise 12 [Angles of a Triangle]
Lecture 46 Practice Exercise 13 [Angles of a Triangle]
Lecture 47 Practice Exercise 14 [Angles of a Triangle]
Lecture 48 Practice Exercise 15 [Angles of a Triangle]
Lecture 49 Practice Exercise 16 [Angles of a Triangle]
Section 5: Coordinates
Lecture 50 Coordinate Systems
Lecture 51 Practice Exercise 1 [Coordinate Systems]
Lecture 52 Practice Exercise 2 [Coordinate Systems]
Lecture 53 Practice Exercise 3 [Coordinate Systems]
Lecture 54 Practice Exercise 4 [Coordinate Systems]
Lecture 55 Practice Exercise 5 [Coordinate Systems]
Lecture 56 Practice Exercise 6 [Coordinate Systems]
Lecture 57 Equation of a Line
Lecture 58 Practice Exercise 1 [Equation of a Line]
Lecture 59 Practice Exercise 2 [Equation of a Line]
Lecture 60 Practice Exercise 3 [Equation of a Line]
Lecture 61 Practice Exercise 4 [Equation of a Line]
Lecture 62 Practice Exercise 5 [Equation of a Line]
Lecture 63 Practice Exercise 6 [Equation of a Line]
Section 6: Test 1 (Basic of Geometry for Secondary)
Section 7: Area and the Pythagoras Theorem
Lecture 64 The Area of a Triangle and Trapezoid
Lecture 65 Practice Exercise 1 [The Area of a Triangle and Trapezoid]
Lecture 66 Practice Exercise 2 [The Area of a Triangle and Trapezoid]
Lecture 67 Practice Exercise 3 [The Area of a Triangle and Trapezoid]
Lecture 68 Practice Exercise 4 [The Area of a Triangle and Trapezoid]
Lecture 69 Practice Exercise 5 [The Area of a Triangle and Trapezoid]
Lecture 70 Practice Exercise 6 [The Area of a Triangle and Trapezoid]
Lecture 71 Practice Exercise 7 [The Area of a Triangle and Trapezoid]
Lecture 72 Practice Exercise 8 [The Area of a Triangle and Trapezoid]
Lecture 73 Practice Exercise 9 [The Area of a Triangle and Trapezoid]
Lecture 74 Practice Exercise 10 [The Area of a Triangle and Trapezoid]
Lecture 75 Practice Exercise 11 [The Area of a Triangle and Trapezoid]
Lecture 76 Practice Exercise 12 [The Area of a Triangle and Trapezoid]
Lecture 77 Practice Exercise 13 [The Area of a Triangle and Trapezoid]
Lecture 78 Practice Exercise 14 [The Area of a Triangle and Trapezoid]
Lecture 79 Practice Exercise 15 [The Area of a Triangle and Trapezoid]
Lecture 80 Practice Exercise 16 [The Area of a Triangle and Trapezoid]
Lecture 81 Pythagoras Theorem
Lecture 82 Practice Exercise 1 [Pythagoras Theorem]
Lecture 83 Practice Exercise 2 [Pythagoras Theorem]
Lecture 84 Practice Exercise 3 [Pythagoras Theorem]
Lecture 85 Practice Exercise 4 [Pythagoras Theorem]
Lecture 86 Practice Exercise 5 [Pythagoras Theorem]
Lecture 87 Practice Exercise 6 [Pythagoras Theorem]
Lecture 88 Practice Exercise 7 [Pythagoras Theorem]
Lecture 89 Practice Exercise 8 [Pythagoras Theorem]
Lecture 90 Practice Exercise 9 [Pythagoras Theorem]
Lecture 91 Practice Exercise 10 [Pythagoras Theorem]
Lecture 92 Practice Exercise 11 [Pythagoras Theorem]
Lecture 93 Practice Exercise 12 [Pythagoras Theorem]
Lecture 94 Practice Exercise 13 [Pythagoras Theorem]
Lecture 95 Isosceles and Equilateral Triangles
Lecture 96 Practice Exercise 1 [Isosceles and Equilateral Triangles]
Lecture 97 Practice Exercise 2 [Isosceles and Equilateral Triangles]
Lecture 98 Practice Exercise 3 [Isosceles and Equilateral Triangles]
Lecture 99 Practice Exercise 4 [Isosceles and Equilateral Triangles]
Lecture 100 Practice Exercise 5 [Isosceles and Equilateral Triangles]
Lecture 101 Practice Exercise 6 [Isosceles and Equilateral Triangles]
Lecture 102 Practice Exercise 7 [Isosceles and Equilateral Triangles]
Lecture 103 Practice Exercise 8 [Isosceles and Equilateral Triangles]
Lecture 104 Practice Exercise 9 [Isosceles and Equilateral Triangles]
Lecture 105 Practice Exercise 10 [Isosceles and Equilateral Triangles]
Lecture 106 Practice Exercise 11 [Isosceles and Equilateral Triangles]
Section 8: The Distance Formula
Lecture 107 Distance Between Points on a Line
Lecture 108 Practice Exercise 1 [Distance Between Points on a Line]
Lecture 109 Practice Exercise 2 [Distance Between Points on a Line]
Lecture 110 Practice Exercise 3 [Distance Between Points on a Line]
Lecture 111 Distance Between Arbitrary Points
Lecture 112 Practice Exercise 1 [Distance Between Arbitrary Points]
Lecture 113 Practice Exercise 2 [Distance Between Arbitrary Points]
Lecture 114 Practice Exercise 3 [Distance Between Arbitrary Points]
Lecture 115 Practice Exercise 4 [Distance Between Arbitrary Points]
Lecture 116 Practice Exercise 5 [Distance Between Arbitrary Points]
Lecture 117 Practice Exercise 6 [Distance Between Arbitrary Points]
Lecture 118 Practice Exercise 7 [Distance Between Arbitrary Points]
Lecture 119 Practice Exercise 8 [Distance Between Arbitrary Points]
Lecture 120 Practice Exercise 9 [Distance Between Arbitrary Points]
Lecture 121 Practice Exercise 10 [Distance Between Arbitrary Points]
Lecture 122 Higher Dimensional Space
Lecture 123 Practice Exercise 1 [Higher Dimensional Space]
Lecture 124 Practice Exercise 2 [Higher Dimensional Space]
Section 9: Circles
Lecture 125 Circumference of a Circle
Lecture 126 Practice Exercise 1 [Circumference of a Circle]
Lecture 127 Practice Exercise 2 [Circumference of a Circle]
Lecture 128 Practice Exercise 3 [Circumference of a Circle]
Lecture 129 Practice Exercise 4 [Circumference of a Circle]
Lecture 130 Practice Exercise 5 [Circumference of a Circle]
Lecture 131 Practice Exercise 6 [Circumference of a Circle]
Lecture 132 Practice Exercise 7 [Circumference of a Circle]
Lecture 133 Practice Exercise 8 [Circumference of a Circle]
Lecture 134 Practice Exercise 9 [Circumference of a Circle]
Lecture 135 Practice Exercise 10 [Circumference of a Circle]
Lecture 136 Equation of a Circle
Lecture 137 Practice Exercise 1 [Equation of a Circle]
Lecture 138 Practice Exercise 2 [Equation of a Circle]
Lecture 139 Practice Exercise 3 [Equation of a Circle]
Lecture 140 Practice Exercise 4 [Equation of a Circle]
Lecture 141 Practice Exercise 5 [Equation of a Circle]
Lecture 142 Practice Exercise 6 [Equation of a Circle]
Lecture 143 Theorems About Circles
Lecture 144 Practice Exercise 1 [Theorems About Circles]
Lecture 145 Practice Exercise 2 [Theorems About Circles]
Lecture 146 Practice Exercise 3 [Theorems About Circles]
Lecture 147 Practice Exercise 4 [Theorems About Circles]
Lecture 148 Practice Exercise 5 [Theorems About Circles]
Lecture 149 Practice Exercise 6 [Theorems About Circles]
Lecture 150 Practice Exercise 7 [Theorems About Circles]
Lecture 151 Practice Exercise 8 [Theorems About Circles]
Lecture 152 Practice Exercise 9 [Theorems About Circles]
Lecture 153 Practice Exercise 10 [Theorems About Circles]
Section 10: Polygons
Lecture 154 Polygons
Lecture 155 Practice Exercise 1 [Polygons]
Lecture 156 Practice Exercise 2 [Polygons]
Lecture 157 Practice Exercise 3 [Polygons]
Lecture 158 Practice Exercise 4 [Polygons]
Lecture 159 Practice Exercise 5 [Polygons]
Lecture 160 Practice Exercise 6 [Polygons]
Lecture 161 Practice Exercise 7 [Polygons]
Lecture 162 Practice Exercise 8 [Polygons]
Lecture 163 Practice Exercise 9 [Polygons]
Lecture 164 Practice Exercise 10 [Polygons]
Lecture 165 Practice Exercise 11 [Polygons]
Lecture 166 Practice Exercise 12 [Polygons]
Lecture 167 Practice Exercise 13 [Polygons]
Lecture 168 Practice Exercise 14 [Polygons]
Lecture 169 Practice Exercise 15 [Polygons]
Section 11: Volumes
Lecture 170 Boxes
Lecture 171 Practice Exercise 1 [Boxes]
Lecture 172 Practice Exercise 2 [Boxes]
Lecture 173 Practice Exercise 3 [Boxes]
Lecture 174 Practice Exercise 4 [Boxes]
Lecture 175 Practice Exercise 5 [Boxes]
Lecture 176 Practice Exercise 6 [Boxes]
Lecture 177 Practice Exercise 7 [Boxes]
Lecture 178 Sphere and Cylinders
Lecture 179 Cones and Pyramids
Lecture 180 Practice Exercise 1 [Cones and Pyramids]
Lecture 181 Practice Exercise 2 [Cones and Pyramids]
Lecture 182 Practice Exercise 3 [Cones and Pyramids]
Lecture 183 Practice Exercise 4 [Cones and Pyramids]
Lecture 184 Practice Exercise 5 [Cones and Pyramids]
Lecture 185 Practice Exercise 6 [Cones and Pyramids]
Section 12: Congruent Triangles
Lecture 186 Euclid's Test for Congruence
Lecture 187 Practice Exercise 1 [Euclid's Test for Congruence]
Lecture 188 Practice Exercise 2 [Euclid's Test for Congruence]
Lecture 189 Practice Exercise 3 [Euclid's Test for Congruence]
Lecture 190 Practice Exercise 4 [Euclid's Test for Congruence]
Lecture 191 Practice Exercise 5 [Euclid's Test for Congruence]
Lecture 192 Practice Exercise 6 [Euclid's Test for Congruence]
Lecture 193 Practice Exercise 7 [Euclid's Test for Congruence]
Lecture 194 Practice Exercise 8 [Euclid's Test for Congruence]
Lecture 195 Practice Exercise 9 [Euclid's Test for Congruence]
Lecture 196 Special Triangles
Lecture 197 Practice Exercise 1 [Special Triangles]
Lecture 198 Practice Exercise 2 [Special Triangles]
Lecture 199 Practice Exercise 3 [Special Triangles]
Lecture 200 Practice Exercise 4 [Special Triangles]
Lecture 201 Practice Exercise 5 [Special Triangles]
Lecture 202 Practice Exercise 6 [Special Triangles]
Lecture 203 Practice Exercise 7 [Special Triangles]
Lecture 204 Practice Exercise 8 [Special Triangles]
Lecture 205 Practice Exercise 9 [Special Triangles]
Section 13: Similar Triangles
Lecture 206 Similar Triangles
Lecture 207 Practice Exercise 1 [Similar Triangles]
Lecture 208 Practice Exercise 2 [Similar Triangles]
Lecture 209 Practice Exercise 3 [Similar Triangles]
Lecture 210 Practice Exercise 4 [Similar Triangles]
Lecture 211 Practice Exercise 5 [Similar Triangles]
Lecture 212 Practice Exercise 6 [Similar Triangles]
Lecture 213 Practice Exercise 7 [Similar Triangles]
Lecture 214 Practice Exercise 8 [Similar Triangles]
Lecture 215 Practice Exercise 9 [Similar Triangles]
Lecture 216 Practice Exercise 10 [Similar Triangles]
Section 14: Test 2 (Core of Geometry for Secondary)
Students who want more and more examples or solved exercises to learn thoroughly the topics in geometry.,Students who want to ace or just pass the examinations.,Supplementary to teachers and lecturers subject materials.,Homeschool or home education.