Number and Quantity
Quantities
 Reason quantitatively and use units to solve problems

Geometry
Congruence
 Experiment with transformations in the plane.
 Understand congruence in terms of rigid motions.
 Prove geometric theorems.
 Make geometric constructions.
Similarity, Right Triangles, and Trigonometry
 Understand similarity in terms of similarity in terms of similarity transformations.
 Prove theorems involving similarity.
 Define trigonometric ratios and solve problems involving right triangles.
 Apply trigonometry to general triangles.
Circles
 Understand and apply theorems about circles.
 Find arc lengths and area of sectors of circles.
Expressing Geometric Properties with Equations
 Translate between the geometric description and the equation for a conic section.
 Use coordinates to prove simple geometric theorems algebraically.
Geometric Measurement and Dimension
 Explain volume formulas and use them to solve problems.
 Visualize relationships between twodimensional and threedimensional objects.
Modeling with Geometry
 Apply geometric concepts in modeling situations.

Statistics and Probability
Conditional Probability and the Rules of Probability
 Understand independence and conditional probability and use them to interpret data.
 Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Using Probability to Make Decisions
 Use probability to evaluate outcomes of decisions.

Standards For Mathematical Practice
 Make sense of problems and persevere in solving them.
 Reason abstractly and quantitatively.
 Construct viable arguments and critique the reasoning of others.
 Model with mathematics.
 Use appropriate tools strategically.
 Attend to precision.
 Look for and make use of structure.
 Look for and express regularity in repeated reasoning.

