High School Math Curriculum
Geometry
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Lines, Angles, and Triangles
1
Review of Basic Geometric Figures
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2
Pairs of Angles
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3
Parallel lines and Transversals
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4
Angles in Triangles
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5
Perpendicular and Angle Bisectors
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Reasoning and Proofs
1
Conditional Statements
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Inductive and Deductive Reasoning
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Postulates and Diagrams
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Algebraic Reasoning
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5
Proving Statements about Segments and Angles
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6
Proving Geometric Relationships
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Equations of Perpendicular and Parallel Lines and Applciations
1
Midpoint and Distance Formulas
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2
Parallel and Perpendicular Lines
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3
Area and Perimeter
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Transformations
1
Translations
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2
Reflections
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3
Rotations
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4
Congruence and Transformations
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Dilations
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6
Similarity and Transformations
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Triangle Congruence
1
Congruent Polygons
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2
SAS and SSS Congruence Theorems
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3
Equilateral and Isosceles Triangles
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4
HL, ASA, and AAS Congruence Theorems
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Relationships within Triangles
1
Angles and Sides in Triangles
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2
Some Special Points in Triangles
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3
Special Points in Triangles - Construction
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4
Triangle Mid-Segment Theorem
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Quadrilaterals and Other Polygons
1
Angles of Polygons
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2
Properties of Parallelograms
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3
Tests for Parallelograms
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4
Properties of Special Parallelograms
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5
Trapezoids and Kites
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Similarity
1
Similarity of Polygons
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2
Triangle Similarity
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3
Proofs using Similarity
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Trigonometry
1
The Pythagorean Theorem
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2
Special Right Triangles
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3
Similar Right Triangles
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4
The Tangent Ratio
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5
The Sine and Cosine Ratios
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6
Real Life Applications of Trigonometry
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7
Law of Sines and Law of Cosines
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Circles
1
Basics of Circles
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2
Arcs and Central Angles
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3
Inscribed Angles and Polygons
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4
Chords and Diameters
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5
Properties of Tangents
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6
Angle Relationships in Circles
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Segment Relationships in Circles
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8
Equations of Circles
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Circumference, Area, and Volume
1
Circumference and Arc Length
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2
Areas of Circles and Sectors
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3
Areas of Polygons
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4
Three-Dimensional Figures
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5
Volumes of Prisms and Cylinders
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6
Volumes of Pyramids
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7
Surface Areas and Volumes of Cones
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Surface Areas and Volumes of Spheres
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Probability
1
Introduction to Probability
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2
Geometric Probability
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3
Certain Events and Complement of an Event
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Probability of Union of Events ('OR' Events)
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5
Exhaustive Events
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6
Fundamental Principle of Counting
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7
Probability of 'AND' Events
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Conditional Probability
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Two-Way Tables and Probability
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