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Geometry [Competency Based] (2nd semester)

Geometry [Competency Based] (2nd semester)

Regular price $250.00 USD
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Course Description

What are the different ways a figure can be transformed? What is the difference between similarity and congruence? In Geometry, students formulate mathematical arguments and create geometric constructions. Working with triangle construction to prove theorems, students employ their reasoning abilities to show similarity and congruence, and use trigonometric ratios to find missing measures in triangles. Solving problems concerning three-dimensional figures gives students the opportunity to examine formulas. Students apply their knowledge of geometric shapes by using measures and properties to describe real-life objects, and connect algebra to geometry by graphing figures on the coordinate plane. Students then move to circles, exploring their properties and theorems. Next is the study of probability, in which students interpret data by using independence and conditional probability, and apply the rules of probability to determine compound events and evaluate outcomes of decisions.

Course Breakdown

  • Ratio and scale drawings
  • Transformations on the coordinate plane
  • Dilation and similarity
  • Pythagorean Theorem
  • Laws of sines and cosines
  • Characteristics of circles
  • Secants and tangents
  • Equations and graphs of circles
  • Area and perimeter of complex figures
  • Design problems
  • Three-dimensional figures
  • Surface area and volume

Course Goals

  1. Identify and apply the properties of similar polygons and triangles by solving problems with deductive reasoning.
  2. Model the properties of dilations and transformations in a variety of problems.
  3. Explore the properties of ratios.\n 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 two- and three-dimensional figures.
  7. Reveal key information in a problem using the volume formulas for three-dimensional figures.
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