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Westmoreland County Public Schools
High School Curriculum
Geometry Units - Similar Triangles

Geometry
Congruency/Similarity: Triangles/Proofs
The learner will be able to prove the similarity of triangles using different proof formats (G.5.b).
Bloom's Scope Activities
  Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Congruent/Similar: Problem Solving
The learner will be able to both represent and solve problems using properties of similar triangles (G.5.b).
Bloom's Scope Activities
  Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Congruent/Similar: Figures
The learner will be able to demonstrate an understanding of similar figures by utilizing the properties of these figures to solve problems and to prove solutions (G.5. a, b; G.8. a, b, c).
Bloom's Scope Activities
  Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Triangle Inequality
The learner will be able to use the triangle inequality properties to establish the existence of a triangle after being provided with data on possible side lengths and angle measures, and use these ideas in practical situations (G.6).
Bloom's Scope Activities
  Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Triangles: Congruency/Similarity
The learner will be able to explore and recognize relationships involving similarity that may be present between triangles (G.5.a).
Bloom's Scope Activities
  Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Logic: Deductive Arguments
The learner will be able to incorporate definitions, postulates, theorems, and logical reasoning techniques to develop deductive arguments in paragraph form, flow chart form, or formal proofs to solve real-world scenario problems or class problems. (G.1.d).
Bloom's Scope Activities
  Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Deductive Reasoning
The learner will be able to use deductive reasoning to solve problems (G.1.d).
Bloom's Scope Activities
Analysis Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Proofs: Angle Measures Theorem
The learner will be able to compose formal proofs where theorems related to angle measures of triangles are applied (G.5.b).
Bloom's Scope Activities
Synthesis Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Similarity: Triangle Side Lengths
The learner will be able to describe how the side lengths of similar triangles are related (G.6).
Bloom's Scope Activities
Comprehension Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
Congruency: Applying
The learner will be able to use similar triangles in problem solving situations (G.3; G.8.c).
Bloom's Scope Activities
Application Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
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Measurement
Scale Drawing: Problem Solving
The learner will be able to solve real-world problem situations by applying ratio concepts with scale drawings, using technology when necessary (G.14).
Bloom's Scope Activities
Application Master Classroom
  Unit Instructional Resources
 
· Compasses/Protractors, N/A, N/A, Math Office [Manipulative]
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· MIRA's, N/A, N/A, Math Office [Manipulative]
· Mirror Paper, N/A, N/A, Math Office [Manipulative]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Classroom - Computer [Calculator]
· Geometry: The Standard Deviants (1-2), Cerebellum Corp., 1998, Classroom [Video]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Math At Work - Pooling Around, CORD Communications, Inc., 1997, Math Office [Software]
· Math At Work: Train Reaction, CORD Communications, Inc., 1997, Math Office [Software]
· Overhead Manipulative Kit, N/A, N/A, Math Office [Manipulative]
· Sup. Star T. Geometry (1-4), The Teaching Company, 1994, Library Resource Room [Software]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· MIRA's, N/A, N/A, Math Office [Manipulative]
· Mirror Paper, N/A, N/A, Math Office [Manipulative]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Classroom - Computer [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
· Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
· Math At Work - Pooling Around, CORD Communications, Inc., 1997, Math Office [Software]
· Math At Work: Train Reaction, CORD Communications, Inc., 1997, Math Office [Software]
· Overhead Manipulative Kit, N/A, N/A, Math Office [Manipulative]
  
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Technology
Calculator: Approximations
The learner will be able to apply approximations suitably in computations made with calculators and identify errors occurring as a result (G.7; G.13).
Bloom's Scope Activities
  Master Classroom
  Unit Instructional Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
  
Geometry: Congruency/Similarity
The learner will be able to use computers to solve problems with similar triangles (G.5.a).
Bloom's Scope Activities
Comprehension Master Classroom
  Unit Instructional Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
  Unit Assessment Resources
 
· Glencoe Geometry: Integration, Applications, Connections, McGraw Hill, 1998, Classroom [Textbook]
· Math Dept. Resource Book - Geometry, N/A, N/A, Classroom [Resource Notebook]
· TI-83 Graphing Calculators, Texas Instrument, N/A, Classroom [Calculator]
· TI-92 Graphing Calculator, Texas Instrument, N/A, Math Office [Calculator]
· Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
  
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