Download Geometry Honors - School District of Marshfield

School District of Marshfield
Course Syllabus
Course Name: Geometry Honors
Length of Course: Year
Credits: 1
Course Description:
Learn plane and solid geometry, apply theorems while developing logical
reasoning and problem solving through original proofs, non-routine problems
and an introduction to analytic geometry. Theory is emphasized.
Prerequisite: Algebra 1 Honors, or a grade of A or B in Algebra 1 Regular.
Learning Targets:
• Review Algebraic Topics
• Using Geometric Concepts to Prove Theorems
• Proving Congruent Triangles
• Understanding Parallel Lines and Related Figures
• Solving Problems Involving Polygons and Similar Polygons
• Understanding Angles and Segments Involving Circles
• Understanding Area and Volume
Topic/Content Outline-Units and Themes:
First Quarter
1. Algebra Review (1 Week)
A. Solving quadratic equations
B. Solving systems of equations
C. Graphing equations
D. Equations of lines
E. Graphing inequalities
2. Basic Concepts and Proofs (4 Weeks)
A. Measure segments and angles
B. Analyze deductive structure and statements of logic
C. Analyze and write two column proofs, paragraph proofs, indirect proofs
D. Apply basic concepts involved in proofs
E. Create basic constructions and use concurrence theorems
3. Proving Congruent Triangles (4 Weeks)
A. Prove triangles are congruent by three methods.
B. Use CPCTC (corresponding parts of congruent triangles are congruent)
in proofs.
C. Classify triangles
D. Use Angle-Side Theorems
E. Use the HL postulate
Second Quarter
4. Parallel lines and related figures (4 Weeks)
A. Prove that lines are parallel
B. Identify congruent angles associated with parallel lines
C. Use the Equidistance Theorems
(4
D.
E.
F.
Weeks)
Apply properties of four-sided polygons
Prove that figures are special quadrilaterals
Analyze lines and planes in space
5. Polygons and Similar Polygons (1 Week)
A. Apply the no-choice and AAs Theorems
Third Quarter
5 cont. (3 Weeks)
B. Use formulas involving polygons
C. Prove triangles are similar
D. Write proportions for similar triangles
(3
E.
F.
G.
H.
I.
Weeks)
Use the Altitude-on-Hypotenuse Theorem
Use the Pythagorean Theorem
Apply patterns of Families and special right triangles
Use trigonometric ratios to find measures of sides and angles.
Use the Law of Sines and Law of Cosines
6. Circles (2 Weeks)
A. Find area and circumference of circles
B. Use the Congruent Chord Theorems
C. Apply properties of secants and tangents
D. Analyze angles related to a circle
E. Use the Power Theorems
Fourth Quarter
7. Area and volume (2 Weeks)
A. Find areas of quadrilaterals and triangles
B. Find areas of regular polygons
(3 Weeks)
C. Find areas of circles, sections, segments
D. Use Hero’s and Brahmagupta’s formulas
(3 Weeks)
E. Find surface area and volume of prisms and pyramids
F. Find surface area and volume of circular solids
8. Review Geometric Topics Learned for Final Test (1 Week)
Resources:
Textbook: Geometry for Enjoyment and Challenge, McDougal-Littel