High School Math Curriculum
Geometry
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Basics of Geometry
1
Points, Lines, and Planes
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Measuring and Constructing Segments
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Using Midpoint and Distance Formulas
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Perimeter and Area in the Coordinate Plane
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Measuring and Constructing Angles
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Describing Pairs of Angles
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Reasoning and Proofs
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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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Proving Statements about Segments and Angles
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Proving Geometric Relationships
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Equations and Applications of Parallel and Perpendicular Lines
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Pairs of Lines and Angles
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Parallel Lines and Transversals
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Proofs with Parallel Lines
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Proofs with Perpendicular Lines
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Equations of Parallel and Perpendicular Lines
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Transformations
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Translations
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Reflections
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Rotations
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Congruence and Transformations
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Dilations
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Similarity and Transformations
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Congruent Triangles
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Angles of Triangles
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Congruent Polygons
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Proving Triangle Congruence by SAS
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Equilateral and Isosceles Triangles
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Proving Triangle Congruence by SSS
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Proving Triangle Congruence by ASA and AAS
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Using Congruent Triangles
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Coordinate Proofs
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Relationships Within Triangles
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Perpendicular and Angle Bisectors
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Bisectors of Triangles
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Medians and Altitudes of Triangles
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The Triangle Midsegment Theorem
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Indirect Proof and Inequalities in One Triangle
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Inequalities in Two Triangles
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Quadrilaterals and Other Polygons
1
Angles of Polygons
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Properties of Parallelograms
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Proving That a Quadrilateral Is a Parallelogram
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Properties of Special Parallelograms
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Properties of Trapezoids and Kites
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Similarity
1
Similar Polygons
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Proving Triangle Similarity by AA
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Proving Triangle Similarity by SSS and SAS
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Proportionality Theorems
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Right Triangles and Trigonometry
1
The Pythagorean Theorem
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Special Right Triangles
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Similar Right Triangles
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The Tangent Ratio
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The Sine and Cosine Ratios
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Solving Right Triangles
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Law of Sines and Law of Cosines
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Circles
1
Lines and Segments That Intersect Circles
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Finding Arc Measures
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Using Chords
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Inscribed Angles and Polygons
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Angle Relationships in Circles
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Segment Relationships in Circles
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Circles in the Coordinate Plane
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Circumference Area and Volume
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Circumference and Arc Length
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Areas of Circles and Sectors
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Areas of Polygons
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Three-Dimensional Figures
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Volumes of Prisms and Cylinders
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Volumes of Pyramids
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Surface Areas and Volumes of Cones
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Surface Areas and Volumes of Spheres
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