Honors Geometry Course Syllabus

Course Name: Honors Geometry

I Course Information
Course Number: 3310
Level: Honors
Department: Mathematics

II Course Description
Prerequisite: 2 semesters of Honors Algebra One
Open to: Freshman, Sophomore
Length: Year
Credit: 1
Summary: This course is extremely rigorous and fast-paced.  Students should have a strong algebra background.  Also, students should be highly motivated and be able to work independently.  This course covers all the topics in College Prep Geometry, but with greater depth.  More emphasis is placed upon precision in language, proofs by direct and indirect methods and algebraic techniques.  Additional topics include three-dimensional geometry and three-dimensional coordinate systems.

III Course Goals

1. Students will review, study, and expand their knowledge relating to basic concepts of geometry.

2. Students will continue to study basic concepts and proofs of geometry.

3. Students will explore congruent triangles.

4. Students will survey lines in the plane.

5. Students will expand their knowledge about parallel lines and related figures.

6. Students will analyze polygons.

7. Students will study lines and planes in space.

8. Students will expand their knowledge about the Pythagorean theorem.

9. Students will study and expand their knowledge of circles.

10. Students will expand their knowledge of area.

11. Students will learn about surface area and volume.

12. Students will increase their knowledge of coordinate geometry.

IV Textbooks and Materials        
Textbook: McDougal/Little, Geometry for Enjoyment and Challenge
Material: Paper, Pencils, Notebook/Binder, Graphing Calculator (TI – 83, TI – 84, TI – 83 Plus or TI – 84 Plus)

V  Course Outline

First Semester – Units of Instruction and Assessments

Unit One - Solving Linear Equations

Solving Multi-Step Equations

Angles and Triangles

Solving Equations with the Variable on Both Sides

Matrix Multiplication (supplementary material)

Matrix Equations (supplementary material)

Solving Equations and Formulas

Rational Equations

Unit Two - Using Proportional Reasoning

Ratios

Ratios and Proportions

Similar Triangles

Trigonometric Ratios

Percents

Probability and Odds

Weighted Averages

Word Problems (Weighted Average, Mixture, and Motion)

Unit Three - Graphing Relations and Functions

The Coordinate Plane

Relations

Equations as Relations

Graphing Linear Equations

Functions

Measures of Variation

Composition of Functions (supplementary material)

Unit Four - Analyzing Linear Equations

Slope

Writing Linear Equations in Point-Slope and Standard Form

Scatter Plots and Best-Fit Lines

Writing Linear Equations in Slope-Intercept Form

Parent and Family Graphs

Graphing Linear Equations

Parallel and Perpendicular Lines

Midpoint of a Line Segment

Best Fit Lines and Linear Regression

Triangles: Altitudes, Medians, and Perpendicular Bisectors

Unit Five - Solving Linear Inequalities

Solving Multi-Step Inequalities

Solving Compound Inequalities

Compound Events

Solving Open Sentences Involving Absolute Value

Graphing Inequalities

Graphing Inequalities in Two Variables

Unit Six - Solving Systems of Linear Equations and Inequalities

Systems of Equations

Graphing

Systems of Equations

Substitutions

Elimination Using Multiplication

Graphing Systems of Inequalities

Systems using Matrices, Determinants, Inverse Matrices

Major Assessments:
Quizzes: TBA
Tests: Unit 1, Unit 2, Unit 3, Unit 4, Unit 5, Unit 6
Semester One Exam
Misc: Homework, Binder/Notebook, Bellwork

Second Semester Units of Instruction and Assessments:

Unit Seven - Exploring Polynomial

Multiplying Monomials

Dividing by Monomials

Scientific Notation

Adding and Subtracting Polynomials

Multiplying a Polynomial by a Monomial

Multiplying Polynomials

Special Products

Unit Eight - Using Factoring

Factors and Greatest Common Factor

Factoring Using the Distributive Property

Factoring Trinomials

Factoring Differences of Squares

Perfect Squares and Factoring

Solving Equations by Factoring

Unit Nine - Exploring Quadratic and Exponential Functions

Graphing Quadratic Functions

Parent and Family Graphs

Solving Quadratic Equations by Graphing

Solving Quadratic Equations by Using the Quadratic Formula

Exponential Functions

Exponential Functions

Growth and Decay

Unit Ten - Exploring Rational Expressions and Equations

Expressions

Rational Expressions

Multiplying rational Expressions

Dividing Rational Expressions

Dividing Polynomials

Rational Expressions with Like Denominators

Rational Expressions with unlike Denominators

Mixed Expressions and Complex Fractions

Solving Rational Equations

Synthetic Division

Unit Eleven - Exploring Radical Expressions and Equations

The Pythagorean Theorem

The Pythagorean Theorem

Simplifying Radical Expressions

Operations with Radical Expressions

Radical Equations

The Distance Formula

Completing the Square

Solving Quadratic Equations by Completing the Square

Unit Twelve - Statistics

Stem-and-Leaf Plots

Statistics

Measures of Central Tendency

Box-and Whisker Plots

Major Assessments:
Quizzes: TBA
Tests: Unit 7, Unit 8, Unit 9, Unit 10, Unit 11, Unit 12
Semester Two Exam
Misc: Homework, Binder/Notebook, Bellwork

(Parents and students: please consult individual teachers for grading policies, extra credit info, class procedures, etc.)
 

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contact Mr. David Thieman, Director of Human Resources: dthieman@hfhighschool.org