Geometry B
(Units: 0.5)

In this course, students continue to develop geometry skills while studying similarity, areas and volumes, right triangles, circles, coordinate geometry, and transformations. The concepts of problem solving, communication, reasoning, and connections are addressed. Students must also complete assignments that relate their learning to real-life experiences.

This course meets TEKS requirements for one semester of high school Geometry.

Course cost: $325 / student

Course Overview

   Unit 1: Proportion and Similarity
      Ratio and Proportion
         Ratios and Proportions
         Applications of Proportions
         Proportions in Geometry
      Similar Polygons and Triangles
         Similar Polygons
         Similar Triangles
         Applying Similar Triangles
      Parts of Similar Triangles
         Proportional Parts
         Corresponding Parts of Similar Triangles
         Problem Solving

   Unit 2: Right Triangles
      Using Right Triangles
         Geometric Mean
         Parts of a Right Triangle
         Pythagorean Theorem
      Trigonometry and Right Triangles
         Special Right Triangles
         Trigonometric Ratios
         Using Trigonometric Tables
      Using Trigonometry
         Right Triangle Trigonometry
         Angles of Depression and Elevation
         Law of Sines

   Unit 3: Circles
      Parts of Circles
         Lines and Circles
         Equation of a Circle
         Arcs and Central Angles
      Chords and Tangents
         Arcs and Chords
         Inscribed Angles
         Tangents
      Secants and Segments
         Measures of Angles and Arcs
         Segments in a Circle
         Problem Solving
   Unit 4: Polygons, Area, and Volume
      Polygons and Quadrilaterals
         Polygons and Polyhedra
         Angles of Polygons
         Areas of Parallelograms
         Areas of Triangles, Rhombi, and Trapezoids
      Area of Polygons and Circles
         Area of Regular Polygons
         Circles
         Polygons as Networks
      Surface Area and Volume
         Exploring Surface Area
         Surface Area
         Volume
         Spheres
   Unit 5: Coordinate Geometry
      Equations of Lines
         Graphing Linear Equations
         Writing Equations of Lines
         Algebra and Statistics
      Coordinate Proofs and Vectors
         Problem Solving
         Coordinate Proof
         Magnitude and Direction of a Vector
         Operations with Vectors
      Coordinates in Space
         Points in Space
         Distance Formula in Space
         Midpoint Formula in Space
         A Sphere in Space
   Unit 6: Loci and Transformations
      Loci
         Locus
         Locus and Systems of Equations
         Intersection of Loci
      Transformations
         Mappings
         Reflections
         Translations
      More Transformations
         Rotations
         Dilations
         Problem Solving

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