Instructional Services: Curriculum Repository



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 :
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INVESTIGATE, IDENTIFY, AND PROVE CONGRUENCE AND SIMILARITY

5.a

Investigate, Identify, and Prove Congruence and Similarity

5.a.1

Use definitions/postulates/theorems to determine triangle congruency

5.a.2

Use definitions/postulates/theorems to determine triangle similarity

5.a.3

Map corresponding parts of congruent figures onto each other

5.a.4

Solve practical problems using congruence and similarity

5.a.5

Solve practical problems using properties of proportions

5.b

Prove Two Triangles Are Congruent or Similar

5.b.1

Use algebraic methods to prove that triangles are similar

5.b.2

Use coordinate methods to prove two triangles are congruent

5.b.3

Use properties of congruent triangles to plan and write proofs

5.c

Solve Problems Involving Dilations

5.c.1

Identify a dilation and find its scale factor

5.c.2

Solve for the length of a side of a figure given a dilation

5.c.3

Construct a dilation of a figure given the center and scale factor

5.c.4

Solve practical problems using dilations

Other Standards for Mathematics, Geometry :
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