435 Accelerated Geometry

What your student will be able to do after a successful year

Congruence

  • Experiment with transformations in the plane
  • Understand congruence in terms of rigid motions
  • Prove geometric theorems
  • Make geometric constructions
  • Apply geometric concepts in modeling situations

Similarity, Right Triangles and Trigonometry

  • Understand similarity in terms of similarity transformations
  • Prove theorems involving similarity
  • Define trigonometric ratios and solve problems involving right triangles
  • Apply trigonometry to general triangles 
  • Apply geometric concepts in modeling situations

Circles

  • Understand and apply theorems about circles
  • Find arc lengths and areas of sectors of circles
  • Apply geometric concepts in modeling situations

Expressing Geometric Properties with Equations

  • Translate between the geometric description and the equation for a conic section
  • Use coordinates to prove simple geometric theorems algebraically.
  • Apply geometric concepts in modeling situations.

Geometric Measurement and Dimension

  • Explain volume formulas and use them to solve problems.
  • Visualize the relation between two-dimensional and three-dimensional objects
  • Apply geometric concepts in modeling situations

Algebra - creating and reasoning with equations and inequalities

  • Create equations that describe numbers or relationships
  • Solve equations and inequalities in one variable
  • Represent and solve equations and inequalities graphically
  • Conditional Probability, the Rules of Probability, and using probability to Make Decisions
  • Understand independence and conditional probability and use them to interpret data
  • Use the rules of probability to compute probabilities of compound events in a uniform probability model
  • Calculate expected values and use them to solve problems
  • Use probability to evaluate outcomes of decisions
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