Westmoreland County Public Schools
High School Curriculum

Geometry Units - Transformations


Geometry

    Quad: Explore/Recog. Character
The learner will be able to explore and recognize characteristics of quadrilaterals that relate to opposite sides, opposite angles, adjacent sides, adjacent angles and diagonals (G.8.a,b,c).
Bloom's Scope
Master
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, 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]
- 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, Math Office [Calculator]
- Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
- Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
    Quad: Properties Using Alg/ Graphs/Proof
The learner will be able to show various properties of quadrilaterals to be true through the use of algebraic methods, coordinate geometry, and deductive proofs (G.8.a,b).
Bloom's Scope
Master
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, 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]
- 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, Math Office [Calculator]
- Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
- Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
    Tessellations: Connections
The learner will be able to use problems that involve tessellations and tilings to form connections to other disciplines such as, art, construction, and nature (G.9).
Bloom's Scope
Master
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, 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]
- 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, Math Office [Calculator]
- Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
- Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
    Transformations/Symmetry
The learner will be able to apply graphical illustrations such as computer software and coordinate methods to obtain solutions to problems that contain the concepts of symmetry and transformations (G.2.a,b,c).
Bloom's Scope
Master
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, 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]
- 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, Math Office [Calculator]
- Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
- Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
    Logic: Mathematical Deduction
The learner will be able to construct formal geometric proofs by applying deductive reasoning (G.1.d).
Bloom's Scope
Master
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, 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]
- 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, 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 and class problems. (G.1.d).
Bloom's Scope
Master
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, 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]
- 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, Math Office [Calculator]
- Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
- Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
    Transformation: Identify
The learner will be able to identify what transformation a given shape has undergone (reflection, translation, rotation, or glide). (G.2.c).
Bloom's Scope
Knowledge Master
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, 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]
- 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, 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
Analysis Master
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, 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]
- 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, Math Office [Calculator]
- Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
- Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
    Symmetry: Identify
The learner will be able to identify figures which are symmetrical about a given line (G.2.b).
Bloom's Scope
Knowledge Master
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, 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]
- 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, Math Office [Calculator]
- Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
- Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  
    Symmetry: Rotational
The learner will be able to identify figures which are symmetrical about a point (G.2.b).
Bloom's Scope
Knowledge Master
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, 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]
- 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, Math Office [Calculator]
- Skills Connection, EdVision, 2001, Classroom - Computer [Tests]
- Intelligent Tutor: Geometry, Intelligent Software, Inc., Unknown, Math Office [Software]
  

Measurement

    Area/Perimeter: Exploring Relationship
The learner will be able to draw conclusions about the relationship between perimeter and area. (G. 13).
Bloom's Scope
Master
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]
  
    Area/Per: Relationships Holding Constant
The learner will be able to analyze the relationships, either between figures with a specific perimeter and their possible area measurements, or between figures with a specific area and their possible perimeters (G.13; G.14).
Bloom's Scope
Master
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]
  

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
Master
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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