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.
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.
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.
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.