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Transcript
Geometry
Fall Syllabus
1st Quarter
August 17 – October 14
Chapter 1
1.2
1.3
1.4
1.5
Points, Lines, and Planes
Segments, Rays, and Distance
Angles
Postulates and Theorems Relating to Points, Lines, and Planes
Chapter 2
2.1
2.2
2.3
2.4
2.5
2.6
If-Then Statements; Converses
Properties form Algebra
Proving Theorems
Special Pairs of Angles
Perpendicular Lines
Planning a Proof
Chapter 3
3.1
3.2
3.3
3.4
3.5
Definitions
Properties of Parallel Lines, Parts 1 & 2
Proving Lines Parallel, Parts 1 & 2
Angles of Triangle
Angles of a Polygon
2nd Quarter
October 17 – January 12
Chapter 4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
Congruent Figures
Some Ways to Prove Triangles Congruent
Using Congruent Triangles
The Isosceles Triangle Theorems
Other Methods of Proving Triangles Congruent
Using More than One Pair of Congruent Triangles
Medians, Altitudes, and Perpendicular Bisectors
Chapter 5
5.1
5.2
5.3
5.4
5.5
Properties of Parallelograms
Ways to Prove that Quadrilaterals are Parallelograms
Theorems Involving Parallel Lines
Special Parallelograms
Trapezoids
Chapter 6
6.4
6.5
Inequalities for One Triangle
Inequalities for Two Triangles
Semester Exams will be given before the Christmas break.
Geometry
Spring Syllabus
3rd Quarter
January 17 – March 9
Chapter 7
7.1
7.2
7.3
7.4
7.5
7.6
Ratio and Proportions
Properties of Proportions
Similar Polygons
A Postulate for Similar Triangles
Theorems for Similar Triangles
Proportional Lengths
Chapter 8
8.1
8.2
8.3
8.4
8.5
8.6
8.7
Similarity in Right Triangles
The Pythagorean Theorem
The Converse of the Pythagorean Theorem
Special Right Triangles
The Tangent Ratio
Sine and Cosine Ratios
Applications of Right Triangle Trigonometry
Chapter 9
9.1
9.2
9.3
9.4
9.5
9.6
9.7
Basic Terms
Tangents
Arcs and Central Angles
Arcs and Chords
Inscribed Angles
Other Angles
Circles and Lengths of Segments
4th Quarter
March 19 – May 30
Chapter 11
11.1
11.2
11.3
11.4
11.5
11.6
11.7
Areas of Rectangles
Areas of Parallelograms, Triangles, and Rhombuses
Areas of Trapezoids
Areas of Regular Polygons
Circumferences and Areas of Circles
Arc Lengths and Areas of Sectors
Ratios of Areas
Chapter 12
12.1
12.2
12.3
12.4
12.5
Prisms
Pyramids
Cylinders and Cones
Spheres
Areas and Volumes of Similar Solids
Chapter 13
13.1
13.2
13.3
13.5
13.6
13.7
The Distance Formula (could be covered with Pythagorean Theorem)
Slope of a Line
Parallel and Perpendicular Lines
The Midpoint Formula (could be covered with Distance Formula)
Graphing Linear Equations
Writing Linear Equations