Communicates reasoning, solves real-life problems, recognizes patterns, uses ratio concepts, computes rational numbers, applies algebraic expressions and equations, solves geometry problems (area/volume), and understands statistical variability.

Communicates reasoning, solves real-life problems, recognizes patterns, uses ratio concepts, computes rational numbers, applies algebraic expressions and equations, solves geometry problems, understands statistics and probability, analyzes proportional relationships, and understands operations with fractions.

Communicates reasoning, solves real-life problems, recognizes patterns, analyzes proportional relationships, understands operations with fractions, uses properties of operations for expressions/equations, solves geometry problems, and investigates probability models.

Communicates reasoning, solves real-life problems, recognizes patterns, uses properties of operations/fractions/proportions, solves geometry problems, works with integer exponents, analyzes linear equations, uses linear functions, understands congruence/similarity, and applies Pythagorean Theorem.

Communicates reasoning, solves real-life problems, recognizes patterns, works with integer exponents, analyzes linear equations and systems, uses linear functions, investigates bivariate data, understands transformational geometry (congruence/similarity/volume), and applies Pythagorean Theorem.

Characteristics of functions, identifying and solving for variables, applying geometric properties, rules of statistics and probability, communicating reasoning, recognizing patterns, and reasoning in real-life contexts.

Characteristics of functions, identifying and solving for variables, applying geometric properties, rules of statistics and probability, communicating reasoning, recognizing patterns, and reasoning in real-life contexts.

Characteristics of functions, identifying and solving for variables, applying geometric properties, rules of statistics and probability, simplifying real/complex expressions, communicating reasoning, and reasoning using patterns/models.

Characteristics of functions, identifying and solving for variables, applying geometric properties, rules of statistics and probability, simplifying real/complex expressions, communicating reasoning, and reasoning using patterns/models.

Theoretical probability models, probability using fractions/two-way tables, experimental probability, geometric probability, expected value, sampling/bias, distribution of data, Normal Distribution, and regression lines/equations.

Communicating reasoning, real-life problem solving, patterns, transformation of trigonometric functions, trigonometric expressions/equations, features of functions, construction of functions, exponential/logarithmic functions, polynomial functions, and rational functions.

Communicating reasoning, real-life problem solving, patterns, frequency tables/regression models, transformation of trigonometric functions, trigonometric expressions/equations, sequences/series, Normal Distribution, confidence intervals, features of functions, construction of functions, and analysis of exponential/logarithmic/polynomial/rational functions.