Mathematics: Geometry
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Mathematics
Geometry

Overview 

This course emphasizes two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. A varietyof applications and some general problem-solving techniques, including algebraic skills, will be used to explore geometric relationships. Conjectures about properties and relationships are developed inductively and then verified deductively. Calculators, computers, graphing utilities, dynamic geometry software, and other appropriate technology tools will be used to assist in teaching and learning.

Students are required to take the Standards of Learning End of Course Test.

 

Other Standards for Mathematics, Geometry :
standard 1

CONSTRUCT AND JUDGE THE VALIDITY OF A LOGICAL ARGUMENT

  benchmark 1.a Construct and Judge the Validity of a Logical Argument
    indicator 1.a.1 Identify converse/inverse/contrapositive of a conditional statement
    indicator 1.a.2 Given a conditional statement, identify the hypothesis and conclusion
    indicator 1.a.3 Disprove a conjecture by counterexample
    indicator 1.a.4 Write a plan for a geometric proof
  benchmark 1.b Translate a Short Verbal Argument into Symbolic Form
    indicator 1.b.1 Translate short verbal arguments into symbolic form
    indicator 1.b.2 Write a conditional statement in if-then form from symbolic form
  benchmark 1.c Use Venn Diagrams to Represent Set Relationships
    indicator 1.c.1 Use and interpret Venn diagrams
    indicator 1.c.2 Solve problems with three sets using Venn Diagrams
  benchmark 1.d Use Deductive Reasoning, Including the Law of Syllogism
    indicator 1.d.1 Determine the validity of a logical argument
    indicator 1.d.2 Use valid forms of deductive reasoning, including the law of syllogism
    indicator 1.d.3 Select and use various types of reasoning and methods of proof
    indicator 1.d.4 Use the law of detachment in deductive arguments
    indicator 1.d.5 Justify each step in solving a linear equation
  benchmark 1.e Determine the Truth Value of Logical Statements
    indicator 1.e.1 Evaluate the truth value of simple and compound statements

Other Standards for Mathematics, Geometry :