Video Lessons

From MHSHS Wiki

Current revision as of 20:27, 25 May 2017

Distance and Midpoint

• Review of Pythagorean Theorem
• Finding the distance between two numbers on a number line
• Deriving the distance formula
• Finding the lengths of line segments
• Deriving the midpoint of a line segment
• Deriving the midpoint of a line segment by Khan

• Harlem Globetrotters

Points, Lines, Planes

• Points, Lines, & Planes explained
• Points, Lines, & Planes video II

Angles and their measurements

• Angle types and how we measure them
• Angle Bisectors
• Angles and Their Measure Part I
• Angles and Their Measure Part II
• Vertical Angles Part I
• Vertical Angles Part II
• Angles (Obt, acute, vertical, complementary, supp)
• Linear Pair
• Ratios of the Angles in a Triangle

Logic

• Logic: Identifying premises and conclusions
• Logic: Inductive reasoning - conjecture - truth value
• Logic: The Inverse of a conditional
• Logic: The Converse of a conditional
• Logic: The Contrapositive of a conditional

Lines Cut by a Transversal

• Angles formed by Lines and Transversals
• Parallel Lines Cut by a Transversal
• Proving Lines Parallel

Interior - Exterior angles of Triangles and Polygons

• Interior/Exterior Angles of Triangles and Polygons

Definitions of Medians Altitudes and bisectors

• Definition of Medians, Altitudes, Angle Bisectors and Perpendicular Bisectors

Postulates & Properties for Proofs

• Partition, Addition, and Substitution Properties
• Partition, Subtraction, and Substitution Properties
• Review of SSS and SAS Postulates and ASA & AAS Theorems
• Hypotenuse-Leg Triangle Congruence Theorem
• Review of SSS SAS ASA AAS Congruence w/application
• Explanation of Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
• Using CPCTC in two-column proofs

Linear Equations Refresher

• Intro to the Coordinate Plane & Solutions to Linear Equations
• Graphing Slope-Intercept Form of a Linear Equation
• Writing Slope-Intercept Equations
• Point-Slope Form of a Line
• Intro to Standard-Form of Linear Equations
• Converting from Standard to Slope-Intercept Form
• Slope and Parallel & Perpendicular Lines
• Slope of Horizontal & Vertical Lines

Intro to Coordinate Proofs

• Distance Formula Review
• Midpoint Formula Review
• Slope Formula Review

Proving Properties of a Parallelogram

• Prove: If a quadrilateral is a parallelogram, then both pairs of opposite sides are congruent
• Prove: If a quadrilateral is a parallelogram, then both pairs of opposite angles are congruent
• Prove: If a quadrilateral is a parallelogram, then consecutive angles are supplementary
• Prove: If a quadrilateral is a parallelogram, then the diagonals bisect each other

Proving the Converse of the Properties of a Parallelogram

• Prove: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram (with a quick review on converse of a conditional!
• Prove: If both pairs of opposite anglesof a quadrilateral are congruent, then the quadrilateral is a parallelogram
• Prove: If consecutive angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram

Proving a Quadrilateral is a Parallelogram

• Proof 1: Given angle A = angle C

Multiplying & Factoring Polynomials Review

• Multiplying Binomials
• Special Products of Binomials
• Factoring Polynomials by Taking Common Factors
• Factoring Quadratic Expressions
• Factoring Difference of Perfect Squares
• Solving Quadratic Equations by Factoring

Trapezoids

• Lesson on Trapezoids
• Another lesson on Trapezoids

Transformation Geometry

• Introduction to Rigid Transformations & Translations
• Dilations Part I - Introduction & Finding the scale factor
• Dilations
• Reflecting Shapes Over a Line
• Reflecting Over a point
• Rotating a point about the origin
• Composition of Transformations Lesson 1
• Composition of Transformations Lesson 2

• Finding the Angle of Rotation When Reflecting over Intersecting Lines
• Understanding Line & Rotational Symmetry
• Understanding Point Symmetry

Triangle Similarity

• Triangle Similarity Postulates: AA~, SAS~, SSS~
• Proving Triangles Similar - Example 1
• Proving Triangles Similar - Example 2
• Proving Triangles Similar - Example 3

Radicals

• Simplifying Radicals

Geometric Mean and Similar Right Triangles

• Similar right triangles using GM

Special Right Triangles

• 30-60-90 Right Triangles

Circles

• Intro to Circles
• Arc Measure
• Inscribed vs Central Angles in a Circle Part I
• Inscribed Angles in a Circle Part II
• Angles formed by two intersecting chords
• Circles and Tangent Lines
• Radius-Tangent Relationship
• Finding the measure of angles formed by intersecting lines
• Finding segment lengths