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Master geometry with the free online course by The College Prep School, covering fundamental concepts, proofs, angles, triangles, quadrilaterals, circles, and more.
The Geometry Complete Course is a comprehensive exploration of the fundamental principles of geometry. Spanning a total duration of 63 hours and 19 minutes, this course is designed to build a solid foundation in geometry for students who are beginning their journey in this essential field of mathematics. As of now, it has not yet received any reviews, making it a fresh and potentially exciting prospect for learners eager to dive into the subject.
The course kicks off with an introductory class that familiarizes students with the importance of staying organized and outlines the entire course content. This sets the stage for a structured and methodical learning experience.
The subsequent classes delve into fundamental geometry concepts over three distinct parts. These classes offer students a thorough understanding of basic geometric principles before progressing to more advanced topics.
As the course develops, students are introduced to crucial logical tools such as inductive and deductive reasoning, and move on to detailed exploration of proofs and properties of equality and congruence. These topics are covered in multiple parts, ensuring that students gain comprehensive knowledge and practice in these areas.
Periodic review sessions encourage students to consolidate their learning and prepare for a series of tests that assess their understanding of the material. These tests are strategically placed throughout the course to maintain a steady evaluation of each student's progress.
The course also covers specific geometric concepts such as angles formed by transversals, the Pythagorean theorem, triangle congruence postulates, and theorems. Students engage in applied learning through the exploration of the distance formula, midpoint calculations, and coordinate proofs.
Advanced topics include points of concurrency generated by triangles, a review of linear equations, and systems of equations. These classes ensure that students gain a well-rounded understanding of the geometry curriculum.
In subsequent lessons, the course dives into ratios, proportions, similarity postulates, and various triangle inequality theorems. The exploration of polygons, their properties, and transformations provide students with the knowledge required to tackle more complex geometric problems.
The study of right triangles, including parts dedicated to special quadrilaterals and angles of polygons, further solidifies the students' understanding of geometry. This part of the curriculum ensures that learners can handle a wide range of geometric scenarios.
A comprehensive study on circles, addressed in multiple classes, as well as in-depth discussions on area and volume, equips students with the analytical tools necessary to solve real-world geometric problems.
The course also introduces various methods of presenting proofs, including paragraph and flowchart proofs. This variety provides students with a versatile approach to conveying their understanding and solutions.
Thorough review sessions are included before each major test, culminating in a detailed final exam that is divided into two parts. These final components assess the students' overall grasp of the course material. Finally, the course concludes with guidance on calculating the final grade, allowing students to quantify their success and areas for improvement.
The Geometry Complete Course is an extensive, well-structured program that offers a deep dive into the world of geometry, making it an ideal choice for students looking to master this crucial area of mathematics. With its clear organization, comprehensive content, and methodical approach, students are well-prepared to excel in geometry.
Video class: Geometry Course--Class 1: An Introduction, Staying Organized, and Course Content
1h09m
Video class: Geometry Course--Class 2: Fundamental Geometry (Part I)
1h30m
Exercise: In the study of geometry, certain concepts like points, lines, and planes are fundamental. Which of the following is NOT true about these concepts?
Video class: Geometry Course--Class 3: Fundamental Geometry (Part II)
1h31m
Exercise: If two angles form a linear pair and one of the angles measures 110 degrees, what is the measure of the other angle?
Video class: Geometry Course--Class 4: Fundamental Geometry (Part III)
0h44m
Exercise: Identify the following statement that accurately describes a polygon.
Video class: Geometry Course--Class 5: Inductive and Deductive Reasoning
1h31m
Exercise: What is the core difference between inductive and deductive reasoning as discussed in the geometry course?
Video class: Geometry Course--Class 6: Proofs and Properties of Equality and Congruence (Part I)
1h28m
Exercise: Which property is illustrated by the statement: If a = b and b = c, then a = c?
Video class: Geometry Course--Class 7: Proofs and Properties of Equality and Congruence (Part II)
1h10m
Video class: Geometry Course--Class 8: Proofs and Properties of Equality and Congruence (Part III)
1h03m
Exercise: In a geometry class, you are asked to prove that two angles are congruent. If angle X and angle Y are both complementary to angle Z, what can be concluded about angle X and angle Y?
Video class: Geometry Course--Class 9: Review for Test 1
1h37m
Exercise: If 3 is added to an even number, the sum will always be what type of number?
Video class: Geometry Course--Class 10: Test I
0h11m
Exercise: What is the total possible score for the geometry test described in the text?
Video class: Geometry Course--Class 11: Angles Formed by Transversals
1h15m
Exercise: In a given geometric figure, two lines are cut by a transversal. If one of the angles formed measures 120 degrees on the exterior of one line, what is the measure of the corresponding angle on the other line when these lines are not specified as parallel?
Video class: Geometry Course--Class 12: Triangles (The Pythagorean Theorem and the Triangle Sum Theorem).
1h38m
Exercise: What is the classification of a triangle where two of its angles are given as 45 degrees and the third angle is unknown?
Video class: Geometry Course--Class 13: Triangle Congruence Postulates and Theorems.
1h31m
Exercise: Given that two triangles are congruent based on Angle-Side-Angle (ASA) postulate, which of the following statements is true?
Video class: Geometry Course--Class 14: Applications of Triangle Congruence and More Triangle Theorems
1h28m
Exercise: Given a triangle ABC, where angle A and angle B are congruent, which side must be congruent to side AC for triangle ABC to be isosceles?
Video class: Geometry Course--Class 15: The Distance Formula and the Midpoint in Two Dimensions
2h06m
Exercise: Given two points on a coordinate grid, if the coordinates of point A are (2, 3) and point B are (8, y), and the distance between the two points is 10 units, what are the possible values of y?
Video class: Geometry Course--Class 16: Coordinate Proofs and Bisector Theorems
2h00m
Exercise: Given triangle ABC, point D is on the perpendicular bisector of segment AB. Which property must be true about segment AD and segment BD?
Video class: Geometry Course--Class 17: Review for Test 2
1h37m
Exercise: In an isosceles triangle, two sides are known to be congruent. If the measure of one of the base angles is 40 degrees, what is the measure of the vertex angle?
Video class: Geometry Course--Class 18: Test 2
0h10m
Exercise: In a triangle, the sum of the measures of two consecutive interior angles is 120 degrees. What is the measure of the third angle?
Video class: Geometry Course--Class 19: Points of Concurrency Generated by Triangles
1h37m
Exercise: In a triangle, which of the following is true about the circumcenter?
Video class: Geometry Course--Class 20: Review on Linear Equations, Linear Graphs, and Systems of Equations.
1h31m
Exercise: If we have the equations y = 2x + 3 and 4x - y = 5 in a system of equations, which substitution should we use to find the values of x and y?
63 hours and 19 minutes of online video course
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