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Course Name: Geometry
10
Level: Advanced Points: 5
Teacher Name: Holliday
Texts/Instructional Materials: Houghton Mifflin Geometry
Syllabus:
Assessment
1st Quarter:
I. Algebra Review
A. Factoring
B. Systems of Equations
C. Reducing Square Roots
D. Complex Fractions Quiz on I.
Test on I.
II Coordinate Geometry
A. Coordinates and Midpoints
B. Slope
C. Slopes of Perpendicular and Parallel Lines
D. Equations of Lines
E. Distance Formula
Quiz on II.
Test on II. (Open Response)
III. Basic Ideas of Geometry
A. Points, Lines, Planes, and Space
B. Distance and Segment Measure
C. Rays, Angles, and Angle Measure
D. Congruent Segments and Angles
Quiz on III.
E. Triangles
F. Conditional Statements
G. Drawing and Supporting Conclusions
H. Deductive Reasoning - Using Algebraic Properties
Test on III. (Open Response)
IV. Introduction to Proof
A. Two-Column Proofs
B. Complementary, Supplementary, and Vertical Angles
C. Perpendicular Lines
D. Drawing and Using Diagrams
E. Planning and Writing a Proof
F. Proving Theorems: Segments and Lines
Quiz on IV.
G. Proving Theorems: Angles
Test on IV.
2nd Quarter:
V. Parallel Lines and Planes
A. Parallel Lines, Planes, and Transversals
B. Properties of Parallel Lines
C. Proving Lines Parallel
Quiz V.
D. Angles of a Triangle
Test V
E. Theorems Related to the Angle Sum Theorem
. F. Angles of a Polygon
VI Congruent Triangles (2 Tests)
A. Congruent Triangles
B. Congruence Postulates
C. Proofs: Using Congruence Postulates
D. Proving Segments and Angles Congruent
E. Proofs: Overlapping Triangles
Test A. - E.
F. Isosceles Triangles
G. AAS Congruence and Right Triangle Congruence
Test VI.
VI. Using Congruent Triangles and Parallel Lines
A. Properties of Parallelograms
B. Proving Quadrilaterals are Parallelograms
C. Rectangles, Rhombuses, and Squares
D. Trapezoids
E. The Midsegment Theorem Test A. - E.
F. Indirect Proof
G. Inequalities in One Triangle
H. Inequalities in Two Triangles
Test VII.
3rd Quarter:
VII. Similarity
A. Ratio and Proportion
B. Properties of Proportions
C. Similar Polygons
D. AA Similarity Postulate
E. SAS and SSS Similarity Theorems
Quiz VIII.
F. Segments Divided Proportionally
Test VIII. (Open Response)
VIII. Right Triangles
A. Right Triangle Proportions
B. The Pythagorean Theorem
Quiz A. - B.
C. The Converse of the Pythagorean Theorem
4th Quarter:
D. Special Right Triangles
Quiz C. - D .
E. Obtuse and acute triangles
F. Trigonometric Functions
Test A. - D.
G. Angles of Elevation and Depression
Test VIII
IX Circles
A. Basic Terms
B. Tangent Lines
C. Common Tangents and Tangent Circles
Test A. - E. Inscribed Angles
D. Arcs and Their Measure
E. Chords of Circles
F. Angles of Chords, Secants, and Tangents
G. Segments of Chords, Secants, And Tangents
Quiz F. - H.
Test IX.
X. Area and Perimeter of Polygons (2 Quizzes, Project, and Test)
A. Perimeter and Area of Rectangles
B. Areas of Parallelograms and Triangles
C. Areas of Trapezoids and Other Quadrilaterals
D. Area of Regular Polygons
Quiz A. - D.
E. Ratios of Areas and Perimeters of Similar Polygons
F. Circumference and Arc Length
G. Areas of Circles, Sectors, and Segments
Test X
XI Surface Area and Volume
A. Surface Area and Volume of Prisms
B. Surface Area and Volume of Pyramids
Quiz A, B
C. Surface Area and Volume of Cylinders
D. Surface Area and Volume of Spheres
Quiz C, D
E. Surface Area and Volume of Similar Solids
Test XI
*Assessment Tools:
Rubrics
Teacher observations
Peer-gradings
Teacher observations
MCAS Testing
Oral presentation Rubrics
Self-grading and evaluations
Projects
Diagnostic testing
Interdisciplinary activities
Open ended questions
Word problems
Co-operative learning projects
Take home tests/writing assignments
Objective Tests/Quizzes
Exams
Presentations
Mid Year Exam
Final Exam
Homework
*See IEP or 504 plan for modification where applicable. Grading Policy:
Homework will be counted as a quiz grade. Each assignment missed will result in
a 5 point deduction from the starting grade of 100%.
Oral presentations will count as a quiz grade. Quizzes will count as 1A a test
grade.
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