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Grade9 Expectations

Grade 9-ALGEBRA1

Overall ExpectationsBy the end of this course, students will:
  • Identify, write, and graph inverse variation.
  • Identify, write, and graph direct variation.
  • Simplify rational expressions
  • Identify excluded values of rational expressions
  • Multiply and divide rational expressions
  • Add and subtract rational expressions with like denominators
  • Add and subtract rational expressions with unlike denominators
  • Solving rational equations.
  • Identify extraneous solutions
  • Simplify radical expressions
  • Add and subtract radical expressions.
  • Multiply and divide rational expressions
  • Rationalize denominators
  • Solve radical equations
  • Identify solutions of systems of linear equations in two variables.
  • Solve systems of linear equations in two variables by graphing.
  • Solve systems of linear equations in two variables by substitution.
  • Solve systems of linear equations in two variables by elimination.
  • Compare and choose an appropriate method for solving systems of linear equations.
  • Graph and solve linear inequalities in two variables.
  • Graph and solve systems of linear inequalities in two variables.
  • Determine the experimental probability of an event.
  • Use experimental probability to make predictions
  • Determine the theoretical probability of an event.
  • Convert between probabilities and odds.
  • Find the probability of independent events.
  • Find the probability of dependent events.

                                                                              Geometry 

Overall Expectations By the end of this course, students will: 

  • Classify triangles by their angle measures and side lengths.
  • Use triangle classification to find angle measures and side lengths.
  • Use properties of congruent triangles.
  • Prove triangles congruent by using the definition of congruence.
  • Use the Pythagorean Theorem and its converse to solve problems.
  • Use Pythagorean inequality to classify triangles.
  • Apply SSS and SAS to construct triangles and solve problems.
  • Prove triangles congruent by SSS and SAS.
  • Apply ASA, AAS, and HL to construct triangles and to solve problems.
  • Prove triangles congruent by ASA, AAS, and HL.
  • Use CPCTC to prove parts of triangles are congruent.
  • Identify tangents, secants, and chords.
  • Use properties of tangents to solve problems.
  • Apply properties of arcs.
  • Apply properties of chords.
  • Find the area of sectors.
  • Find arc lengths.
  • Find the measure of an inscribed angle.
  • Use inscribed angles and their properties to solve problems.
     
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