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Course Outline
Integrated
Geometry
Intro
to Geometry
1.
Basic Geometric Terms
2.
Basic defns. and
properties
3.
Complementary/Supplementary Angles
4.
Parallel/Perpendicular lines
5.
Angle/Segment
Bisector, Midpoint
6.
Angle/ Segment
Addition Postulate
Intro
to Proofs
1.
Defns/Postulates/Theorems
2.
Algebraic Proofs
3.
Short 2 column proofs
Triangles/Polygons
1.
Triangle Sum Theorem
2.
Isosceles Triangle Theorem and
converse
3.
Exterior Angle Theorem
4.
Word Problems
5.
Triangle Inequalities
6.
Interior and Exterior Angles
7.
SAS,SSS,ASA,AAS,HL
8.
CPCTC
9.
Overlapping Triangles
Parallel Lines
1.
Angles formed
2.
Factoring
3.
Solving equations
using factoring
4.
Proofs
Parallelograms
1.
Properties of
parallelograms
2.
Properties of
trapezoids
3.
Proofs
Coordinate Geometry
1.
Slope, distance,
midpoint
2.
Median, Perpendicular
Bisector
3.
Proofs
Similar Triangles
1.
Proportions
2.
Mean Proportions
3.
Special Right
Triangles
4.
Pythagorean Theorem
5.
Inequality Proofs
Circles
1.
Basic terms
2.
Angles formed by
segments
3.
Lengths of segments
4.
Multi-part circle
questions
5.
Proofs
Transformational Geometry
1.
Line, Point Symmetry
2.
Line, Point
Reflections
3.
Translations
4.
Dilations
5.
Rotations
6.
Isometry/Orientation
Locus/Constructions
1.
5 Basic Loci
2.
Compound Loci
3.
Equation of Circle
4.
Loci on Coordinate
graphs
5.
5 Basic Constructions
6.
Construct Loci
Measurement
1.
Perimeter/Area/Circumference
2.
Area Quadratic Word
Problems
3.
3 Dimensional Figures
4.
Surface Area
5.
Volume
Quadratics
1.
Review Factoring
2.
Solving Quadratics
3.
Graphing Quadratics
4.
Using Graphing
Calculator
5.
Discriminant
Solving
Systems of Equations
1.
Review Graphing Linear
Equations
2.
Linear/Quadratic
Algebraically
3.
Linear/Quadratic
Graphically
4.
Circle/Linear/Quadratic Algebraically
5.
Circle/Linear/Quadratic Graphically
6.
Word Problems
Review for Regents Math A
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