Number Sense and Operations
AI.N.1 Identify and use the properties of operations on real numbers (associative, commutative, distributive, identity, and inverse).
AI.N.2 Simplify numerical expressions including positive integer exponents and absolute values.
AI.N.3 Find approximate value for solutions to problems involving square roots and cube roots without the use of the calculator.
AI.N.4 Use estimation to judge if solutions are reasonable.
Patterns, Relations, and Algebra
AI.P.1 Identify, extend, and create a wide variety of patterns (linear, quadratic, exponential).
AI.P.2 Solve equations and inequalities showing all steps.
AI.P.3 Demonstrate an understanding of relations and functions. Identify the domain, range, dependent, and independent variables of functions.
AI.P.4 Understand and use the three views of a function: graphs, equations, and tables.
AI.P.5 Determine a line's slope and its intercepts from a graph or linear equation. Find a linear equation using point-slope or slope-intercept form. Understand positive, negative, zero, and undefined slope.
AI.P.6 Find linear equations that represent lines parallel or perpendicular to a given line and through a given point.
AI.P.7 Add, subtract, and multiply polynomials. Divide polynomials by monomials.
AI.P.8 Add, subtract, multiply, and factor polynomial expressions; Apply the properties of positive integer exponents to simplify monomial expressions.
AI.P.9 Solve quadratic equations using a variety of methods.
AI.P.10 Solve equations and inequalities including those involving absolute value of linear expressions.
AI.P.11 Model and solve real-world problems using a variety of functions, methods, and appropriate technology.
AI.P.12 Model and solve real-world problems requiring systems of linear equations or inequalities, while utilizing appropriate methods and technology.
Data Analysis, Statistics, and Probability
AI.D.1 Select, create, and interpret a graphical representation for a set of data and use measures of central tendency to communicate information about the data and compare it to different sets of data.
AI.D.2 Sketch and find an equation of a line of best fit given a set of data, using technology when appropriate.
AI.D.3 Describe and explain how the relative sizes of a sample and the population affect the variety of predictions from a set of data.
