The second part of this series deals with basic geometry and trigonometry. Topics discussed include: right triangles and trigonometric ratios; parallel lines; congruent and similar triangles; the Cartesian coordinate system; and slope, midpoint, and distance of a line. We also take a quick look at three different types of proofs related to these topics; those related to triangles, lines, and the Cartesian coordinate system. (NOTE: at some point in the future an in-depth introduction to trigonometry will be produce.)
In addition to the above, we take a rudimentary look at Zero and Infinity, and Why a Negative and a Negative Makes a Positive.
Full list and links for all the videos contained in the series are provided below and are available at: Table of Contents: The Language of Mathematics - Series I.
See Videos Available for Download for information on the torrent for this series.
Table of Contents
Formulas and definitions used in this series (Direct link to full album. Four images total).
Section 1: Introduction and Instructions
- Videos: (1): Introduction and (2): Instructions
Section 2: The Real Number Set
- Videos: (3): The Real Number Set - Part 1, (4): The Real Number Set - Part 2, and (22): Instructions for Exercises - 1
Section 3: Zero and Infinity
- Video: (5): Zero and Infinity
Section 4: Basic Operations
Lesson 1: Adding and Subtracting
- Video: (6): Adding and Subtracting
Lesson 2: Multiplying and Dividing
Lesson 3: Dealing with Negative Numbers
Section 5: Prime Numbers
Lesson 1: Understanding Prime Numbers
- Video: (9): Prime Numbers
Lesson 2: Finding Prime Factors
- Video: (10): Finding Prime Factors
Section 6: Fractions
Lesson 1: Reducing Fractions
- Video: (11): Reducing Fractions
Lesson 2: Multiplying and Dividing Fractions
Lesson 3: Adding and Subtracting Fraction
Section 7: Trigonometry
Lesson 1: Introduction to Trigonometry and Geometry
Lesson 2: Understanding Right Triangles
- Videos: (15): Right Triangles Part 1, (16): Right Triangles Part 2, and (17): Right Triangles Part 3
Lesson 3: Solving Right Triangles
Section 8: Basic Geometry
Lesson 1: Parallel Lines
- Video: (31): Parallel Lines
Lesson 2: Congruent and Similar Triangles
Section 9: Coordinate Geometry
Lesson 1: Cartesian Coordinate System
Lesson 2: Slope and Midpoint of a Line
Lesson 3: Distance of a Line
- Video: (25): Distance of a Line
Section 10: Proofs
Lesson 1: Introductions to Proofs
Lesson 2: Proofs Involving Triangles
Lesson 3: Proofs Involving a Line
- Videos: (27): Proofs Involving a Line 1, (28): Proofs Involving a Line 2, and (29): Proofs Involving a Line 3
Lesson 4: Coordinate Geometry Proof
Section 11: Why a negative and a negative makes a positive
Section 12: Miscellaneous Videos
- Videos: (34): Prepping for next set of videos (update 1) and (36): First Series Montage with SPM and (37): Update for Series II (update 2)
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