Video Lessons
From MHSHS Wiki
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*[https://vimeo.com/184008827 Deriving the midpoint of a line segment] | *[https://vimeo.com/184008827 Deriving the midpoint of a line segment] | ||
*[https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/midpoint-formula Deriving the midpoint of a line segment by Khan] | *[https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/midpoint-formula Deriving the midpoint of a line segment by Khan] | ||
+ | |||
+ | *[https://www.youtube.com/watch?v=frImW50n5Rk Harlem Globetrotters] | ||
== Points, Lines, Planes == | == Points, Lines, Planes == | ||
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*[https://www.youtube.com/watch?v=8poW-IcyU48 Hypotenuse-Leg Triangle Congruence Theorem] | *[https://www.youtube.com/watch?v=8poW-IcyU48 Hypotenuse-Leg Triangle Congruence Theorem] | ||
*[https://www.youtube.com/watch?v=JWattj1ERrA Review of SSS SAS ASA AAS Congruence w/application] | *[https://www.youtube.com/watch?v=JWattj1ERrA Review of SSS SAS ASA AAS Congruence w/application] | ||
- | *[http://www.virtualnerd.com/geometry/congruent-triangles/proof-asa-aas-hl/definition-cpctc Explanation of Corresponding Parts of Congruent Triangles are Congruent (CPCTC] | + | *[http://www.virtualnerd.com/geometry/congruent-triangles/proof-asa-aas-hl/definition-cpctc Explanation of Corresponding Parts of Congruent Triangles are Congruent (CPCTC)] |
- | *[https://www.youtube.com/watch?v= | + | *[https://www.youtube.com/watch?v=FSJX0EMCZM0 Using CPCTC in two-column proofs] |
+ | |||
+ | == Linear Equations Refresher == | ||
+ | *[https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/v/descartes-and-cartesian-coordinates Intro to the Coordinate Plane & Solutions to Linear Equations] | ||
+ | *[https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-graphing-slope-intercept-equations/v/graphing-a-line-in-slope-intercept-form Graphing Slope-Intercept Form of a Linear Equation] | ||
+ | *[https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-writing-slope-intercept-equations/v/graphs-using-slope-intercept-form Writing Slope-Intercept Equations] | ||
+ | *[https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-point-slope/v/idea-behind-point-slope-form Point-Slope Form of a Line] | ||
+ | *[https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-standard-form/v/standard-form-for-linear-equations Intro to Standard-Form of Linear Equations] | ||
+ | *[https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-forms-of-two-var-linear-equations/v/standard-form-to-slope-intercept-form Converting from Standard to Slope-Intercept Form] | ||
+ | *[https://www.khanacademy.org/math/geometry-home/analytic-geometry-topic/parallel-and-perpendicular/v/proof-that-perpendicular-lines-have-negative-reciprocal-slope Slope and Parallel & Perpendicular Lines] | ||
+ | *[https://www.khanacademy.org/math/algebra/two-var-linear-equations/hor-and-ver-lines-alg1/v/slope-of-a-line-3 Slope of Horizontal & Vertical Lines] | ||
+ | |||
+ | == Intro to Coordinate Proofs == | ||
+ | *[https://www.khanacademy.org/math/geometry-home/analytic-geometry-topic/distance-and-midpoints/a/distance-formula-review Distance Formula Review] | ||
+ | *[https://www.khanacademy.org/math/geometry-home/analytic-geometry-topic/distance-and-midpoints/a/midpoint-formula Midpoint Formula Review] | ||
+ | *[https://www.khanacademy.org/math/8th-engage-ny/engage-8th-module-4/8th-module-4-topic-c/a/slope-formula Slope Formula Review] | ||
+ | |||
+ | == Proving Properties of a Parallelogram == | ||
+ | *[https://youtu.be/9fPmg2-rfjA Prove: If a quadrilateral is a parallelogram, then both pairs of opposite sides are congruent] | ||
+ | *[https://youtu.be/XhDytqFmUkQ Prove: If a quadrilateral is a parallelogram, then both pairs of opposite angles are congruent] | ||
+ | *[https://youtu.be/scyuPN_wekM Prove: If a quadrilateral is a parallelogram, then consecutive angles are supplementary] | ||
+ | *[https://youtu.be/TdhfBPK-aUo Prove: If a quadrilateral is a parallelogram, then the diagonals bisect each other] | ||
+ | |||
+ | == Proving the Converse of the Properties of a Parallelogram == | ||
+ | *[https://youtu.be/m7fPHwK2ZP8 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!] | ||
+ | *[https://youtu.be/IBm5bXyjs-0 Prove: If both pairs of opposite anglesof a quadrilateral are congruent, then the quadrilateral is a parallelogram] | ||
+ | *[https://youtu.be/H1_70LwHz1k Prove: If consecutive angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram] | ||
+ | |||
+ | == Proving a Quadrilateral is a Parallelogram == | ||
+ | *[https://youtu.be/wK5BtfQnYdo Proof 1: Given angle A = angle C] | ||
+ | |||
+ | == Multiplying & Factoring Polynomials Review == | ||
+ | *[https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/multiplying-binomials-2/v/area-model-for-multiplying-binomials Multiplying Binomials] | ||
+ | *[https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/special-products-of-polynomials/v/difference-of-squares-pattern-for-simple-binomials Special Products of Binomials] | ||
+ | *[https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-polynomials-1-common-factors/v/factoring-linear-binomials Factoring Polynomials by Taking Common Factors] | ||
+ | *[https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-quadratics-1/v/factoring-simple-quadratic-expression Factoring Quadratic Expressions ] | ||
+ | *[https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-quadratics-diff-of-squares/v/factoring-to-produce-difference-of-squares Factoring Difference of Perfect Squares ] | ||
+ | *[https://www.khanacademy.org/math/algebra/quadratics/solving-quadratic-equations-by-factoring/v/example-1-solving-a-quadratic-equation-by-factoring Solving Quadratic Equations by Factoring ] | ||
+ | |||
+ | == Trapezoids == | ||
+ | *[https://www.youtube.com/watch?v=e8rL_5nLxTg Lesson on Trapezoids ] | ||
+ | *[https://www.youtube.com/watch?v=jKwY4OjfMS4 Another lesson on Trapezoids ] | ||
+ | |||
+ | == Transformation Geometry == | ||
+ | *[https://www.khanacademy.org/math/geometry-home/transformations/rigid-transformations-intro/v/introduction-to-transformations Introduction to Rigid Transformations & Translations] | ||
+ | *[https://youtu.be/uxWJSb4DY7A Dilations Part I - Introduction & Finding the scale factor ] | ||
+ | *[https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/v/dilating-from-an-arbitrary-point-example Dilations] | ||
+ | *[https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-reflections/v/reflecting-segments-over-line Reflecting Shapes Over a Line] | ||
+ | *[https://youtu.be/TuzGQTrAkio Reflecting Over a point] | ||
+ | *[https://youtu.be/S-rRyMN4TL8 Rotating a point about the origin] | ||
+ | *[https://youtu.be/g9zLR9vj8BQ Composition of Transformations Lesson 1] | ||
+ | *[https://youtu.be/XzCVBlNZv6M Composition of Transformations Lesson 2] | ||
+ | |||
+ | *[https://youtu.be/A5pREHJR2co Finding the Angle of Rotation When Reflecting over Intersecting Lines] | ||
+ | *[https://youtu.be/lfM0t1sMmAs Understanding Line & Rotational Symmetry] | ||
+ | *[https://youtu.be/LMXTRcowpnk Understanding Point Symmetry] | ||
+ | |||
+ | == Triangle Similarity == | ||
+ | *[https://www.khanacademy.org/math/geometry/hs-geo-similarity/hs-geo-triangle-similarity-intro/v/similar-triangle-basics Triangle Similarity Postulates: AA~, SAS~, SSS~ ] | ||
+ | *[https://www.youtube.com/watch?v=cBxtFh3-t-g Proving Triangles Similar - Example 1] | ||
+ | *[https://youtu.be/2Qwr_L2io8E Proving Triangles Similar - Example 2] | ||
+ | *[https://youtu.be/b9RaU1Hv89Q Proving Triangles Similar - Example 3] | ||
+ | |||
+ | |||
+ | == Radicals == | ||
+ | *[https://www.khanacademy.org/math/in-eighth-grade-math/squares-square-roots/square-roots/v/simplifying-radicals Simplifying Radicals ] | ||
+ | |||
+ | == Geometric Mean and Similar Right Triangles == | ||
+ | *[https://www.khanacademy.org/math/geometry/hs-geo-similarity/hs-geo-solving-similar-triangles/v/similarity-example-where-same-side-plays-different-roles Similar right triangles using GM] | ||
+ | |||
+ | == Special Right Triangles == | ||
+ | *[https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-special-right-triangles/v/30-60-90-triangle-side-ratios-proof 30-60-90 Right Triangles ] | ||
+ | |||
+ | == Circles == | ||
+ | *[https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-circle-basics/v/language-and-notation-of-the-circle Intro to Circles ] | ||
+ | *[https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-arc-measures/v/intro-arc-measure Arc Measure ] | ||
+ | *[https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-angles/v/inscribed-and-central-angles Inscribed vs Central Angles in a Circle Part I ] | ||
+ | *[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://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 ] | ||
+ | *[https://www.pearsonsuccessnet.com/content/HVT_English/academy123_content/wl-book-demo/ph-469s.html Radius-Tangent Relationship] | ||
+ | *[https://www.pearsonsuccessnet.com/content/HVT_English/academy123_content/wl-book-demo/ph-475s.html Finding the measure of angles formed by intersecting lines ] | ||
+ | *[https://www.pearsonsuccessnet.com/content/HVT_English/academy123_content/wl-book-demo/ph-477s.html Finding segment lengths ] | ||
<!-- | <!-- | ||
CPCTC Proof https://www.youtube.com/watch?v=FSJX0EMCZM0 | CPCTC Proof https://www.youtube.com/watch?v=FSJX0EMCZM0 | ||
+ | |||
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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
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
- Radius-Tangent Relationship
- Finding the measure of angles formed by intersecting lines
- Finding segment lengths