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Geometry [Honors] (2nd semester)

Geometry [Honors] (2nd semester)

Regular price $250.00 USD
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Course Description

Geometry [Honors] gives students a strong foundation in the subject as they formulate mathematical arguments and create geometric constructions. The course begins with a study of points, lines, planes, segments, and angles. Students practice an essential geometric skill: constructing and analyzing a variety of proofs. An in-depth coverage of triangles begins as students explore congruent triangles; special parts including bisectors, medians, and altitudes; and triangle theorems. Students then explore more shapes and calculate area, perimeter, and midsegments. Similarity is covered next, as students work with similarity tests for triangles, ratios, and scale drawings. Students explore geometry on the coordinate plane as they perform transformations and create tessellations. Trigonometric ratios and the laws of sines and cosines are used to solve problems. An in-depth study of circles follows, including sectors, inscribed angles, special arcs, and tangents. Students extend their knowledge to conic sections and three-dimensional figures as they work with surface area, volume, density based modeling, and design problems.

Course Breakdown

  • Ratio and scale drawings
  • Transformations on the coordinate plane
  • Dilation and similarity
  • Pythagorean Theorem
  • Laws of sines and cosines
  • Characteristics of circles
  • Graphs of circles
  • Tangent, arc, and angle theorems
  • Conic sections
  • Area and perimeter of complex figures
  • Design problems
  • Surface area and volume
  • Density-based modeling

Course Goals

  1. Use ratio and scale to model and solve problems.
  2. Perform multiple transformations to a geometric figure.
  3. Apply the properties of right triangles.
  4. Identify and apply the properties of circles to a variety of problems.
  5. Model the properties of circles in a variety of problems.
  6. Apply area formulas for twoand three-dimensional figures.
  7. Reveal key information in a problem using the volume formulas for three-dimensional figures.
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