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Edgenuity Remediation Content Selection Analytic Geometry Semester A: 1. Unit 1: Similarity, Congruence, and Proofs A. Transformational Geometry • Introduction to Transformations • Translations • Reflections • Rotations • Dilations • Compositions • Topic Test B. Congruency in Triangles • Congruent Figures • Triangle Congruence: SAS Postulate and SSS Postulate • Triangle Congruence: ASA Postulate and AAS Theorem • Congruence in Right Triangles • Using Congruent Triangles: CPCTC • Interactive: Proving Congruency Using CPCTC • Construct Regular Polygons • Topic Test C. Proofs and Triangle Relationships • Bisectors in a Triangle • Medians and Altitudes of a Triangle • Midsegments of a Triangle • Isosceles Triangles • Triangle Inequalities • Pythagorean Theorem • Pythagorean Inequalities • Topic Test D. Similarity • Similar Polygons • Similar Triangles • Interactive: Proving Triangles Similar • Special Segments and Proportions • Perimeter and Area of Similar Figures • Topic Test E. Parallelogram and Angle Proofs • Special Angle Pairs • Congruent Angle Pairs • Parallel Lines and Angles • Properties of Parallelograms • Proving a Quadrilateral Is a Parallelogram • Special Parallelograms • Topic Test F. Constructions • Interactive: Angle Constructions • Interactive: Five Basic Constructions • Interactive: Triangle Constructions 2. Unit 2: Right Triangle Trigonometry A. Right Triangles • Right Triangles • Special Right Triangles • Trigonometric Ratios • Solving Right Triangles • Angles of Elevation and Depression • Topic Test • Cumulative Exam Edgenuity Remediation Content Selection Analytic Geometry Semester B: 1. Unit 3: Circles and Volume A. Circles • Introduction to Circles • Tangents to a Circle • Arcs, Chords, and Central Angles • Inscribed Angles • Secants, Tangents, and Angles • Special Segments • Arc Length and Area of a Sector • Interactive: Circle Constructions • Topic Test B. Volume • Volume • Surface Area and Volume of Spheres • Cross Sections of Solid Figures • Similar Solids • Topic Test 2. Unit 4: Extending the Number System A. Real and Non-Real Numbers • Operations on Rational and Irrational Numbers • Properties of Exponents • Simplify Radicals • Add and Subtract Radicals • Multiply Radicals • Divide Radicals • Quadratic Equations and Complex Numbers • Polynomials • Topic Test 3. Unit 5: Quadratic Functions A. Creating Functions • Model and Solve Problems with Multi-Step Equations • Write and Solve Inequalities • Write Function Rules • Standard Form of a Linear Equation • Parent Functions • Vertical and Horizontal Translations • Recursions and Special Sequences • Operations with Functions • Topic Test B. Quadratic Functions • Quadratic Functions • Parabolas • Complex Numbers • Intercepts and Zeros • Model Problems with Quadratic Functions • Comparing Exponential, Linear, and Quadratic Growth • Topic Test C. Solving Quadratic Equations • Solving Quadratic Equations by Factoring • The Quadratic Formula and the Discriminant • Quadratic Equations in Vertex Form • Convert Between Standard and Vertex Form • Topic Test 4. Unit 6: Modeling Geometry A. Modeling Geometry • Conic Sections: Parabolas • Conic Sections: Circles • Geometric Figures in the Coordinate Plane • Topic Test 5. Unit 7: Applications of Probability A. Probability and Sets • Set Theory • Venn Diagrams and Sets • Random Behavior • Mutually Exclusive and Independent Events • Conditional Probability • Probability and Two-Way Tables • Topic Test • Cumulative Exam