JoAnn's School

JoAnnsSchool

This is a short review of what we learned in chapter 4 and 9 in Algebra 1. How to solve an inequality using the Properties of Inequality and inverse operations to undo the operations in the inequality one at a time. We discuss the Addition, Subtraction, Multiplication, Division, Transitive, and Comparison Properties of Inequality; how a compound inequality is formed when two simple inequalities are combined into one statement with the word "and" or "or"; reversing the signs when dealing with negatives; graphing our inequalities to include or not include a number on a graph.

Algebra I Inequalities and Absolute Value Playlist, Chapter 4 & 9
Roster, Set-Builder Notation
https://www.youtube.com/playlist?list=PLKi4WTp6PRGWcuaYu8KZGfpZhVB_lulhO

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of how a mid-segment of a triangle joins the midpoints of two sides of the triangle. Every triangle has three mid-segments. Constructing the mid-segment of a triangle using a compass and how we can use a protractor to prove that a mid-segment is parallel to a side.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of a mid-segment of a triangle as a segment that joins the midpoints of two sides of the triangle. Every triangle has three mid-segments which form the mid-segment triangle. Examining mid-segments in the coordinate plane to show that a mid-segment is parallel to a side by using the Midpoint Formula and comparing the length of the two sides using the Distance Formula and prime factorization to simplify a radical. Using the Triangle Mid-segment Theorem to find measures of mid-segments, angles, or to find the distance across the mouth of a crater. What happens when we cut a triangle at its mid-segment, and seeing the shapes that it creates.

Algebra I Radical Expressions & Equations Playlist, Chapter 11
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVwqn3G4ZWKhR4BG8wAjccg

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of an altitude of a triangle as a perpendicular segment from a Vertex to the line containing the opposite side; how every triangle has three altitudes; how an altitude can be inside, outside, or on the triangle; how lines containing the altitudes are concurrent at a point; how the point of concurrency is the orthocenter of the triangle; the two altitudes of a right triangle are its legs; the height of a triangle is the length of its altitude; finding the orthocenter of a triangle using the slope formula and the point slope form of an equation; doing the construction of an orthocenter of a triangle using tissue paper and folds.

Geometry 5.3a, Centroid Theorem & construct Centroid of a Triangle
https://www.youtube.com/watch?v=Crax3yFg-y0&list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3&index=61

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of an altitude of a triangle as a perpendicular segment from a Vertex to the line containing the opposite side; how every triangle has three altitudes; how an altitude can be inside, outside, or on the triangle; how lines containing the altitudes are concurrent at a point; how the point of concurrency is the orthocenter of the triangle; the two altitudes of a right triangle are its legs; the height of a triangle is the length of its altitude; finding the orthocenter of a triangle using the slope formula and the point slope form of an equation; doing the construction of an orthocenter of a triangle using tissue paper and folds.

Geometry 5.3a, Centroid Theorem & construct Centroid of a Triangle
https://www.youtube.com/watch?v=Crax3yFg-y0&list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3&index=61

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of a median of a triangle as a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side, every triangle has three medians that are concurrent and meet at the centroid, construction of a centroid of a triangle, the point of concurrency of the medians of a triangle is the centroid of a triangle, the centroid theorem, the center of gravity, using the centroid to find segment lengths, using the midpoint formula to find the midpoint of a segment to find the centroid.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of the Incenter Theorem and how the Incenter is equidistant from the sides of a triangle, how the incenter is the center of the triangles Inscribed Circle, using properties of angle bisectors to find a measure, finding the measure of an angle, finding the circumcenter of three cities on a map in the United States that form a right triangle, a review of the meaning of concurrent and point of concurrency, a review of how the circumcenter of a triangle can be inside, outside, or on the triangle, and how the circumcenter is equidistant from the vertices of the triangle.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of the Circumcenter of a Triangle, the Circumcenter Theorem, folding tissue paper to find the perpendicular bisectors of a scalene acute triangle, circumcenters inside, outside, or on a triangle, circles that are circumscribed about a polygon, a paragraph proof proving that the circumcenter p is equidistant to the vertices, using properties of perpendicular bisectors to find the distance from a Vertex to a circumcenter, and finding the circumcenter of a triangle on a coordinate plane.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of the Angle Bisector Theorem and it's Converse, a locus of points in the interior of an angle, applying the Angle Bisector Theorem and it's Converse to find a measure, and writing equations of bisectors in the coordinate plane using point-slope form.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of the meaning of equidistant, the Perpendicular Bisector Theorem, a paragraph proof to prove one side of a triangle is equal to another side, the Converse of the Perpendicular Bisector Theorem, the meaning of a locus and how to pronounce its plural form loci, and applying the Perpendicular Bisector Theorem and it's Converse to find measures of sides.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of how to use the properties of congruent triangles to prove constructions valid. We go over how to construct congruent segments and congruent angles, we do a two-column proof for proving the construction of a midpoint, we do a paragraph proof of proving the construction of an angle. We end with a recap of the steps to proving a construction valid.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of the Equilateral Triangle Corollary, and using properties of equilateral triangles to find the value of x for a given angle measure. We discuss how to use the Equiangular Triangle Corollary to find the value of a variable for a given side length. We write a coordinate proof to prove that the triangles whose vertices are the midpoints of the sides of an isosceles triangle are also isosceles.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of the parts of an isosceles triangle, the Isosceles Triangle Theorem with a two-column proof, the Converse of the Isosceles Triangle Theorem with a two-column proof, using The Parallax method to find the distance to a star, an explanation of The Parallax Effect, and finding the measure of an angle with algebra.

Parallax and Distance Measurement
https://lco.global/spacebook/parallax-and-distance-measurement/

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of how coordinate geometry can be used to prove conjectures, and how a coordinate proof is a style of proof that uses coordinate geometry and algebra. We discuss strategies for positioning figures in the coordinate plane that use the origin or quadrant 1. We write a coordinate proof using coordinate geometry showing that a triangle is half the area of another triangle, and we use a coordinate proof to prove that is statement is true for all right triangles without knowing their side lengths by using variables as the coordinates of the vertices. We go over the midpoint formula with examples.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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A quick review of quadratic equations and how we can solve quadratic equations to find the length of a side of a triangle or using factoring. Examples are shown for both ways. We need to make sure we check each solution to make sure we don't have a negative value for a length, because a length cannot be negative.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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A male and female Northern Cardinal couple investigate my front yard. Did you know that the Cardinal is the Illinois state bird? The bright red is the male, and the brown is the female. Her color helps her hide from predators. To read more about these beautiful birds click here https://www.audubon.org/field-guide/bird/northern-cardinal

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An explanation of how slopes can be used to determine if two lines in the coordinate plane are parallel or perpendicular. We review the Parallel Lines Theorem and the Perpendicular Lines Theorem, and discuss how they can be broken into three parts. We prove both the Parallel & Perpendicular Lines Theorems by using congruent triangles in paragraph proofs. Why we might not use Hypotenuse-Leg (HL) as a reason for congruence for right triangles.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of CPCTC as an abbreviation for Corresponding Parts of Congruent Triangles are Congruent. We use CPCTC to show how to find the distance across a river, the distance from one end of a pond to another, proving corresponding parts of triangles are congruent in a flowchart proof, using CPCTC in a two-column proof, and using the Distance Formula to find the lengths of sides of two triangles to prove congruence from given ordered pairs..

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of the four theorems for right triangles as Leg-Leg (LL), Hypotenuse-Angle (HA), Leg-Angle (LA), and Hypotenuse-Leg (HL) Congruence Theorem. Determining if the HL Congruence Theorem can be used to prove triangles congruent, using the Reflexive Property when two triangles share a hypotenuse, a two-column proof for Hypotenuse-Angle Theorem which uses Angle-Angle-Side.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of Angle-Angle-Side (AAS) Congruence Theorem, and how we can use the Third Angles Theorem and Angle-Side-Angle as a proof for Angle-Angle-Side congruence, two flowchart proofs for Angle-Angle-Side, and why we can use the Reflexive Property of Congruence when a segment has self-congruence for two triangles.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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An explanation of included sides as the common side of two consecutive angles in a polygon, the Angle-Side-Angle (ASA) Congruence Postulate, using a table of bearings and distance to determine locations using ASA, using ASA to prove one triangle is congruent to another, and how to construct congruent triangles using ASA.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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A review of the meaning of an included angle, an explanation of Side-Angle-Side congruence, why the order of the letters are so important, why SSS and SAS congruence postulates are shortcuts, how to construct congruent triangles using SAS, an example of verifying triangle congruence using SSS and another example for SAS, and a two-column proof proving triangles congruent with SAS.

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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How we can use the property of Triangle Rigidity as a shortcut to prove congruence, the Side-Side-Side Congruence Postulate, how congruent points are labeled as corresponding points, an explanation of Included Angles, and two proofs for SSS.

High School Geometry Playlist
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An explanation of the properties of congruent polygons showing a diagram, corresponding angles, and corresponding sides. How to find consecutive vertices, and naming a polygon using consecutive order for the points, identifying all pairs of corresponding parts, using corresponding parts of congruent triangles to find the value of x, and a couple of two-column proofs for proving triangles congruent.

High School Geometry Playlist
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The definition of a Corollary as a theorem whose proof follows directly from another theorem, with a corollary for the two acute angles of a right triangle, and a corollary for the measure of each angle of an equiangular triangle. Examples of finding the acute angle measures of a right triangle using the first corollary.

High School Geometry Playlist
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Created 6 months, 3 weeks ago.

345 videos

CategoryEducation

Education for everyone!
I have over 2,600 Math videos on YouTube, ranging from 1st grade through Algebra 2.
It would be impossible for me to upload all of them onto BitChute.
I've included most of my GED Math videos, and the Grade 1 videos will auto upload from now on.
I planning to do Geometry, Trigonometry, then Pre-Calculus Playlist in the future.
You can study an entire grade level of Math, lesson by lesson with my playlists, in order.
Catch up to your class, work ahead, pass the GED, or place higher on college entry tests to avoid remedial classes.

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YOUTUBE FAN FUNDING on my channel Home page
https://www.youtube.com/channel/UCAZKtYcE5Jgd6hVL-RHv6Vw

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