# 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.