### Math: 9th-12th Grade

Number and Quantity

• I can apply what I know about the properties of exponents to rational exponents.

• I can use the properties of rational and irrational numbers.

• I can reason quantitatively and use units to solve problems.

• I can solve quadratic equations with real coefficients that have complex solutions.

Algebra

• I can interpret the structure of expressions and write expressions in equivalent forms to solve problems.

• I can do arithmetic with polynomials and rational expressions.

• I can create equations that describe numbers or relationships.

• I can explain the reasoning process involved in solving equations.

• I can solve and graph equations and inequalities in one variable.

• I can solve systems of equations and inequalities.

Functions

• I can build a function that models a relationship between two quantities and build new functions from existing functions.

• I can construct and compare linear, quadratic, and exponential models and solve problems.

• I can define trigonometric ratios and solve problems involving right triangles. I can extend the domain of trigonometric functions using the unit circle.

Geometry

• I can understand congruence in terms of rigid motions and understand similarity in terms of dilations.

• I can prove geometric theorems involving congruence and similarity.

• I can make geometric constructions.

• I can understand and apply theorems about circles and find arc lengths and areas of sectors of circles.

• I can translate between the geometric description and the equation for a conic section.

• I can use coordinates to prove simple geometric theorems algebraically.

• I can explain volume formulas and use them to solve problems.

• I can visualize relationships between two-dimensional and three-dimensional objects.

Statistics and Probability

• I can interpret categorical and quantitative data using linear models.

• I can make inferences and justify conclusions using statistical experiments.

• I can understand conditional probability and the rules of probability.

• I can use probability to make decisions.