
Geometry
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Congruence
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Experiment with transformations in the plane.
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Understand congruence in terms of rigid motions.
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Prove geometric theorems.
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Make geometric constructions.
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Similarity, Right Triangles, and Trigonometry
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Understand similarity in terms of similarity transformations.
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Prove theorems involving similarity.
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Define trigonometric ratios and solve problems involving right triangles.
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Apply trigonometry to general triangles.
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Circles
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Understand and apply theorems about circles.
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Find arc lengths and area of sectors of circles.
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Expressing Geometric Properties with Equations
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Translate between the geometric description and the equation for a conic section.
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Use coordinates to prove simple geometric theorems algebraically.
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Geometric Measurement and Dimension
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Explain volume formulas and use them to solve problems.
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Visualize relationships between two-dimensional and three-dimensional objects.
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Modeling with Geometry
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Apply geometric concepts in modeling situations.
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Statistics and Probability
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Conditional Probability and the Rules of Probability
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Understand independence and conditional probability and use them to interpret data.
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Use the rules of probability to compute probabilities of compound events in a uniform probability model.
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Using Probability to Make Decisions
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Use probability to evaluate outcomes of decisions.