Video Lessons
From MHSHS Wiki
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*[https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-shapes/v/right-triangles-inscribed-in-circles-proof Inscribed Angles in a Circle Part II ] | *[https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-shapes/v/right-triangles-inscribed-in-circles-proof Inscribed Angles in a Circle Part II ] | ||
* [https://youtu.be/yaNPnzKZdZE Angles formed by two intersecting chords] | * [https://youtu.be/yaNPnzKZdZE Angles formed by two intersecting chords] | ||
| - | *[https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-tangents/ | + | *[https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-tangents/a/determining-if-a-line-is-tangent-by-looking-at-angles Circles and Tangent Lines ] |
Revision as of 20:26, 24 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
Points, Lines, Planes
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
Interior - Exterior angles of Triangles and Polygons
Definitions of Medians Altitudes and 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
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
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
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
Geometric Mean and Similar Right Triangles
Special 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
