Standards for Teaching and Learning
AI.N.1: Use the properties of operations on real numbers, including the associative, commutative, identity, and distributive properties, and use them to simplify calculations.
AI.N.3: Calculate and apply ratios, proportions, rates, and percentages to solve a range of consumer and practical problems.
AI.N.4: Use estimation to judge the reasonableness of results of computations and of solutions to problems involving real numbers, including approximate error in measurement and the approximate value of square roots. (Reminder: This is without the use of calculators.)
AI.N.6: Apply the set operations of union and intersection and the concept of complement, universal set, and disjoint sets, and use them to solve problems, including those involving Venn diagrams.
AI.P.1: Recognize, describe, and extend patterns governed by a linear, quadratic, or exponential functional relationship or by a simple iterative process (e.g., the Fibonacci sequence).
AI.P.3: Demonstrate an understanding of relations and functions. Identify the domain, range, and dependent and independent variables of functions.
AI.P.4: Translate between different representations of functions and relations: graphs, equations, sets of ordered pairs (scatter plots), verbal, and tabular.
AI.P.5: Demonstrate an understanding of the relationship between various representations of a line. Determine a line's slope and x- and y-intercepts from its graph or from a linear equation that represents the line.
AI.P.6: Find a linear function describing a line from a graph or a geometric description of the line (e.g., by using the point-slope or slope y-intercept formulas). Explain the significance of a positive, negative, zero, or undefined slope.
AI.P.8: Add, subtract, and multiply polynomials with emphasis on 1st- and 2nd-degree polynomials.
AI.P.9: Demonstrate facility in symbolic manipulation of polynomial and rational expressions by rearranging and collecting terms, factoring [e.g., a² - b² = (a + b)(a - b), x² + 10x + 21 = (x + 3) (x + 7), 5x the the 4th power + 10x³ - 5x² = 5x² (x² + 2x - 1)], identifying and canceling common factors in rational expressions, and applying the properties of positive integer exponents.
AI.P.10: Divide polynomials by monomials with emphasis on 1st- and 2nd-degree polynomials.
AI.P.12: Find solutions to quadratic equations (with real roots) by factoring, completing the square, or using the quadratic formula. Demonstrate an understanding of the equivalence of the methods.
AI.P.14: Solve everyday problems (e.g., compound interest and direct and inverse variation problems) that can be modeled using linear or quadratic functions. Apply appropriate graphical or symbolic methods to the solution.
AI.P.15: Solve everyday problems (e.g., mixture, rate, and work problems) that can be modeled using systems of linear equations or inequalities. Apply algebraic and graphical methods to the solution.
AI.D.1: Select, create, and interpret an appropriate graphical representation (e.g., scatter plot, table, stem-and-leaf plots, circle graph, line graph, and line plot) for a set of data, and use appropriate statistics (e.g., mean, median, range, and mode) to communicate information about the data. Use these notions to compare different sets of data.
Correlation last revised: 4/4/2018