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Geometry Honors
Text: Moise and Downs. Geometry. Addison Wesley Publishing Co.
Updated 8/2012
Fourth Marking Period
First Marking Period
Chp1: Precise Reasoning
1.1 Vocabulary
1.2 Reasoning
Chp 2: Sets, Real numbers and Lines
2.1Sets
2.2 Order
2.3Absolute Value
2.4 Distance
2.5 First Postulates
2.6 Betweenness, Segments and Rays
Chp 3: Lines, Planes, and Separation
3.1 Drawing Accurately
3.2 Postulates (of lines and planes)
3.3 More Postulates…
3.4 Convex Sets and Separation
3.5 Graph Theory
Chp 4: Angles and Triangles
4.1 Vocabulary
4.2 Measurement of Angles
4.3 Other systems of measurement
(optional)
4.4 Perpendicularity and Congruence
4.5 Equivalence Relations
4.6 Theorems about angles
4.7 Vertical angles
4.8 Related Statements
Simple and Compound
4.9 Proofs
Chp 5: Congruence
5.1 Correspondence vs Congruence
5.2 Triangle Congruence
5.3 Congruent Triangle Postulates
5.4 Proof
5.5 More Proofs
5.6 angle bisectors
5.7 Isosceles and equilateral triangles
5.8 Converses
5.9 Overlapping triangles
5.10 Quadrilaterals, medians and
bisectors
9.8 Parallel Lines intercepting
transversals
9.9 Median Concurrence
Second Marking Period
Ch 6: Logic and Indirect Proof
6.1 Deduction
Session on Logic
6.2 Indirect Proofs
6.3 Theorems on Lines and Planes
6.4 Perpendiculars
6.5 Auxiliary Sets
6.6 Proving ASA and SSS (opt.)
Third Marking Period
Ch 10: Parallel Lines and Planes
10.1 Basic Facts
10.2 Dihedral angles
10.3 Projections
Chp 7: Inequality Theorems
7.1 Conjectures
7.2 Inequality for numbers, segments
and angles
7.3 Exterior angle Thm
7.4 Corollaries of the ext. angle thm
7.5 Single triangle ≠ thms.
7.6 Distance between a pt and a line
“Around the Block” thm.
7.7 Hinge Thms
7.8 Altitudes
Ch 8: Perpendicular lines and Planes
(in space)
8.1 Definition of Line Perp. To a Plane
8.2 Basic theorem on Perpendiculars
8.3 Existence and Uniqueness
8.4 Summary
Ch 9: Parallel Lines
9.1 Guaranteeing lines are parallel
9.2 More…
9.3 The Parallel Postulate
9.4 Triangles
9.5 Quadrilaterals
9.6 “Special” Quadrilaterals
9.7 Right Triangle Thms
Ch 11: Polygonal Regions and Area
11.1 Definitions
11.2 Area
11.3 The Pythagorean Thm.
11.4 “Special” triangles
Ch 12: Similarity
12.1 Definitions
12.2 Definitions continued
12.3 Basic Proportionality Thms
12.4 Similarity Thms
12.5 Similarity in Right triangles
12.6 Area of Similar figures
Ch 13: Coordinate Geometry
Chosen problems from various sections
done through referencing algebra
knowledge
Ch 14: Circles and Spheres
14.1 Basic Definitions
14.2 Tangent Lines…
14.3 Tangent Planes…
14.4 Arcs
14.5 Angles related to circles
14.6 More angles…
14.7 Power Thms
14.8 Circles in a coord. Plane (optional)
Ch 16: Polygons, Circles and Sectors
16.1 Definition of polygons
16.2 Regular Polygons
16.3 Circumference
16.4 Area
16.5 Sectors and Arclength
Ch 17: Trigonometry
17.1 Trigonometric Ratios
17.2 Calculating unknown sides
and angles
Ch 18: Transformational Geometry
18.1 Transformations
18.2 Symmetry and Reflections
18.3 Reflection and Translation
Ch 19: Solid Geometry
Note: be sure to use the word “net”
When discussing surface area
19.1 Prisms
19.2 Pyramids
19.3 Cavalieri’s Principle
19.4 Cylinders and Cones
19.5 Spheres
Ch 15: Loci and Concurrence
15.1 Definitions of Loci
15.2 More…
15.3 – 15.5 Concurrence Thms
15.9 Inscribed and Circumscribed
figures
15.6 – 15.8 Constructions (optional
throughout)