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Informal Geometry

Instructor Debra Williams E-mailAddress

dwilliams@lcsd2.org

Phone

Number

885-7847 ext 7246885-0112 (home)

Planning

Time

Course Description

Informal Geometry focuses on the key topics that provide a strong foundation in the essentials of

geometry.

Students will use basic terms of geometry, including symbols, definitions, postulates, and theorems thatapply to spatial relationships. They will be taught basic logic principles such as patterns and if/then

statements. Students will study segments, angles, and relationships with parallel/perpendicular lines.

They will use triangle relationships along with the distance formula and Pythagorean Theorem. Studentswill study congruence as it specifically relates to triangles and be introduced to multi-step proofs. They

will learn properties of quadrilaterals, parallelograms, and trapezoids. Similarity with polygons andespecially triangles will be introduced, and students will solve relationships involving ratios, proportions,

scale factors, and dilations. Area, perimeter, and angle relationships will be studied as they apply toregular polygons, circles, and quadrilaterals such as the rhombus, trapezoid, and parallelogram.

Standards

1. Students will use numbers, number sense, and number relationships in a problem-solvingsituation. (Standard 1).

2. Students will apply geometric concepts, properties, and relationships in a problem-solvingsituation. (Standard 2).

3. Students will use algebraic methods to investigate, model, and interpret patterns involving shapes.(Standard 4).

Performance Standards

Advanced. In a complex problem-solving situation, using appropriate tools and technology, 11th-grade

students work independently to apply geometric concepts, properties, and relationships. Students analyzeand represent information with greater than 80% accuracy. Students are able to consistently communicate

reasoning to justify their solutions based on appropriate terms/definitions/theorems.

Proficient. In a problem-solving situation, using appropriate tools and technology, 11th-grade students

work, with little outside help, to apply geometric concepts, properties, and relationships. Students analyze

and represent information with greater than 70% accuracy. Students are able to communicate reasoningmost of the time to justify their solutions based on appropriate terms/definitions/theorems.

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Units of Study

Standards/Benchmark Map

Mathematics Informal Geometry

Units Standards Benchmarks Assessments

Unit 1:

Basics of Geometry

1, 2,4 1.1, 2.2, 2.4, 4.2, 4.3,4.5 Unit Test

Unit 2:

Segments and

Angles

1, 2, 3, 4 1.1, 2.2, 2.4, 3.1, 4.2,

4.3, 4.5 Unit Test

Unit 3:

Parallel and

Perpendicular

Lines

1, 2, 4 1.1, 2.2, 2.4, 4.2, 4.3,

4.5 Unit Test

Unit 4:

Triangle

Relationships

1, 2, 4 1.1, 2.2, 2.3, 2.4, 4.2,

4.3, 4.5 Unit Test

Unit 5:Congruent

Triangles

1, 2, 4 1.1, 2.1, 2.2, 2.4, 4.2,4.3, 4.5 Unit Test

Unit 6:

Quadrilaterals

1, 2, 4 1.1, 2.2, 2.4, 4.2, 4.3,

4.5 Unit Test

Unit 7:Similarity 1, 2, 3, 4 1.1, 2.1, 2.2, 2.4, 3.3,4.2, 4.3, 4.5 Unit Test

Unit 8:

Polygons and Area

1, 2, 3, 4 1.1, 2.2, 2.4, 3.3, 4.2,

4.3, 4.5 Unit Test

Course Materials. Geometry: Concepts and Skills, McDougal Littell, Inc.

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