Download Geometry Syllabus

Mrs. Marick, Prairie High School Mathematics Teacher
Course: Geometry
Textbook: “Geometry” by Edward Burger, David Chard, Earlene Hall, Paul
Kennedy, Steven Leinwand, Freddie Renfro, Dale Seymour, and Bert Waits, 2007
The geometry course provides a formal geometric perspective which includes the
geometric proof and constructions. Algebraic relationships are integrated into the
curriculum and provide more depth of understanding.
Course Work:
Prerequisites: Algebra I
Chapter 1: Foundations for Geometry
1.1
1.2
1.3
1.4
1.5
1.6
1.7
Understanding Points, Lines, and Planes
Measuring and Constructing Segments
Measuring and Constructing Angels
Pairs of Angles
Using Formulas in Geometry
Midpoint and Distance in the Coordinate Plane
Transformations in the Coordinate Plane (optional)
Chapter 2: Geometric Reasoning
2.1
2.2
2.3
2.4
2.5
2.6
Using Inductive Reasonin to Make Conjectures
Conditional Statements
Using Deductive Reasoning to Verify Conjectures
Biconditional Statements and Definitions
Algebraic Proof
Geometric Proof
Chapter 3: Parallel and Perpendicular Lines
3.1 Lines and Angles
3.2
3.3
3.4
3.5
3.6
Angles Formed by Parallel Lines and Transversals
Proving Lines Parallel
Perpendicular Lines
Slopes of Lines
Lines in the Coordinate Plane
Chapter 4: Triangle Congruence
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
Classifying Triangles
Angle Relationships in Triangles
Congruent Triangles
Triangle Congruence: SSS and SAS
Triangle Congruence: ASA, AAS, and HL
Triangle Congruence: CPCTC
Introduction to Coordinate Proof
Isosceles and Equilateral Triangles
Chapter 5: Properties and Attributes of Triangles
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
Perpendicular and Angle Bisectors
Bisectors of Triangles
Medians and Altitudes of Triangles
The Triangle Midsegment Theorem
Indirect Proof and Inequalities in One Triangle
Inequalities in Two Triangles (optional)
The Pythagorean Theorem
Applying Special Right Triangles
Chapter 6: Polygons and Quadrilaterals
6.1
6.2
6.3
6.4
6.5
6.6
Properties and Attributes of Polygons
Properties of Parallelograms
Conditions for Parallelograms
Properties of Special Parallelograms
Conditions for Special Parallelograms
Properties of Kites and Trapezoids
Chapter 7: Similarity
7.1
7.2
7.3
7.4
7.5
7.6
Ratio and Proportion
Ratios in Similar Polygons
Triangle Similarity: AA, SSS, and SAS
Applying Properties of Similar Triangles
Using Proportional Relationships
Dilations and Similarity in the Coordinate Plane (optional)
Chapter 8: Right Triangles and Trigonometry
8.1
8.2
8.3
8.4
8.5
8.6
Similarity in Right Triangles
Trigonometric Ratios
Solving Right Triangles
Angles of Elevation and Depression
Law of Sines and Law of Cosines
Vectors (optional)
Chapter 9: Extending Perimeter, Circumference, and Area
9.1
9.2
9.3
9.4
9.5
9.6
Developing Formulas for Triangles and Quadrilaterals
Developing Formulas for Circles and Regular Polygons
Composite Figures
Perimeter and Area in the Coordinate Plane
Effects of Changing Dimensions Proportionally
Geometric Probabiity
Chapter 11: Circles
11.1
11.2
11.3
11.4
11.5
11.6
11.7
Lines That Intersect Circles
Arcs and Chords
Sector Area and Arc Length
Inscribed Angles
Angle Relationships in Circles
Segment Relationships in Circles
Circles in the Coordinate Plane
Graphing calculators are utilized to supplement the material in coordinate
geometry sections.
Enrichment activities include student participation at the U.N.C. Math Contest.
The first round of the contest is in November at Prairie School and students who
advance to the final round will participate in a three hour mathematics test at the
University of Northern Colorado in January.
In addition, students with a high degree of math-science aptitude are invited to
participate in northeastern Junior College’s Math-Science Contest in April. The
mathematics and science departments make the selections of which students
participate in the contest.