# Problem Solving In Geometry With Solutions

In Problem Solving in Geometry, students apply geometric concepts to solve sets of word problems at varying levels of difficulty.This course provides an excellent foundation for students who will be advancing into Honors Geometry or Honors Algebra II.Designed around performance objectives that reflect national and state mathematical standards and drawing on video lectures provided by Thinkwell, these courses demonstrate how mathematical issues arise out of real-life situations.

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A line segment is shown below; the ends of the line segment are shown as points. (Note that the "unit" can be inches, feet, meters, or any other type of length measurement.

If the unit is specified, use that particular unit; otherwise, the generic term "units" is sufficient.)square (a rectangle whose length and width are equal) with sides of length 1.

Students will have their understanding checked with graded assessments, which include quizzes, homework, tests, and cumulative midterm and final exams.

Upon successful completion of this course, a student will be able to understand definitions and theorems as well as solve problems related to: Sample Video Technical Requirements This course requires a properly maintained computer with high-speed internet access and an up-to-date web browser (such as Chrome or Firefox).

If two lines meet at a point, then they are said to intersect.

An example of a line is shown below; note that the ends of the line have arrows that indicate the line continues indefinitely. Line segments have lengths that are finite (limited) numbers, unlike lines, whose lengths are infinite (unlimited).Zoom online virtual classroom This course uses an online virtual classroom for discussions with the instructor.The classroom works on standard computers with the Zoom desktop client and also tablets or handhelds that support the Zoom Mobile app.Students who are unable to attend live sessions will need a computer with the Zoom desktop client installed to watch recorded meetings.The Zoom desktop client and Zoom Mobile App are both available for free download.Because of the shape of a triangle, we cannot neatly fit the squares into it.Thus, we have derived a formula for the area of a triangle.Like, basic rules about parallel and intersecting lines and the angles formed: The solutions below are by design not rigorous proofs, but rather provide just enough information to make the true solution very obvious to most readers.You must click to find the images associated with these solutions -- so as to not spoil the fun for those that want to try to find the solution for themselves first.This derivation, although not shown in its full mathematical rigor, produces the correct area formula for all triangles, not just the one shown above.Description CTY's Problem Solving courses sharpen investigative skills, broaden mathematical understanding of concepts, and enhance reasoning skills.