Unit 1: Proving Theorems about Lines and Angles

• Lines and Angles
• Proving Angles Congruent
• Properties of Parallel Lines
• Proving Lines Parallel
• Parallel and Perpendicular Lines
• Parallel Lines and Triangles

Unit 2: Proving Theorems About Triangles

• Mid-segments of Triangles
• Perpendicular and Angle Bisectors
• Bisectors in Triangles
• Medians and Altitudes
• Indirect Proof
• Inequalities in One Triangle
• Inequalities in Two Triangles

Unit 3: Proving Theorems about Quadrilaterals

• The Polygon Angle-Sum Theorems
• Properties of Parallelograms
• Proving That a Quadrilateral is a Parallelogram
• Properties of Rhombuses, Rectangles, and Squares
• Conditions for Rhombuses, Rectangles, and Squares
• Trapezoids and Kites
• Applying Coordinate Geometry
• Proofs Using Coordinate Geometry

Unit 4: Similarity

• Similar Polygons
• Proving Triangles Similar
• Similarity in Right Triangles
• Proportions in Triangles
• Dilations
• Similarity Transformations

Unit 5: Right Triangles and Trigonometry

• The Pythagorean Theorem and its Converse
• Special Right Triangles
• Trigonometry
• Angles of Elevation and Depression
• Areas of Regular Polygons

Unit 6: Circles

• Circles and Arcs
• Areas of Circles and Sectors
• Tangent Lines
• Chords and Arcs
• Inscribed Angles
• Angle Measures and Segment Lengths

Unit 7: Surface Area and Volume

• Surface Areas of Prisms and Cylinders
• Surface Areas of Pyramids and Cones
• Volumes of Prisms and Cylinders
• Volumes of Pyramids and Cones
• Surface Areas and Volumes of Spheres
• Areas and Volumes of Similar Solids

Unit 8: Properties of Exponents with Rational Exponents

• Multiplying Powers with the Same Base
• More Multiplication Properties of Exponents
• Division Properties of Exponents
• Rational Exponents and Radicals

Unit 9: Polynomials and Factoring

• Adding and Subtracting Polynomials
• Multiplying and Factoring
• Multiplying Binomials
• Multiplying Special Cases
• Factoring x^2+bx+c
• Factoring ax^2+bx+c
• Factoring Special Cases

Unit 10: Quadratic Functions

• Quadratic Graphs and Their Properties
• Graphing Quadratic Functions
• Solving Quadratic Equations
• Factoring to Solve Quadratic Equations
• Completing the Square
• The Quadratic Formula and the Discriminant
• Complex Numbers
• Linear, Quadratic, and Exponential Models
• Systems of Linear and Quadratic Equations
• A New Look at Parabolas

Unit 11: Probability

• Experimental and Theoretical Probability
• Permutations and Combinations
• Compound Probability
• Probability Models
• Conditional Probability Formulas

Unit 12: Other Types of Functions

• Properties of Exponential Functions
• Graphing Radical Functions
• Piecewise Functions
• Combining Functions
• Composition and Inverse Functions

Unit 13: Sequence and Series

• Mathematical Patterns
• Arithmetic Sequences
• Geometric Sequences
• Arithmetic Series
• Geometric Series