Keystone Exams Assessment Anchors and Eligible Content
A2.1.1: Operations with Complex Numbers
A188.8.131.52: Represent and/or use imaginary numbers in equivalent forms (e.g., square roots and exponents).
A184.108.40.206.2: Simplify/evaluate expressions involving powers of i (e.g., i to the 6th power + iÂ³ = -1 Â?i).
A220.127.116.11: Apply the order of operations in computation and in problem-solving situations.
A18.104.22.168.1: Add and subtract complex numbers (e.g., (7Â?3i)Â?(2 + i) = 5Â?4i).
A22.214.171.124.2: Multiply and divide complex numbers (e.g., (7Â?3i)(2 + i) = 17+i).
A2.1.2: Non-Linear Expressions
A126.96.36.199: Use exponents, roots, and/or absolute values to represent equivalent forms or to solve problems.
A188.8.131.52.2: Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers-exponents should not exceed power of 10).
A184.108.40.206.3: Simplify/evaluate expressions involving multiplying with exponents (e.g., (x to the 6th power) times (x to the 7th power) = x to the 13th power), powers of powers (e.g., (x to the 6th power) to the 7th power = x to the 42nd power) and powers of products (e.g., (2xÂ²)Â³ = 8x to the 6th power).
A220.127.116.11: Simplify expressions involving polynomials.
A18.104.22.168.1: Factor algebraic expressions, including difference of squares and trinomials.
A2.1.3: Non-Linear Equations
A22.214.171.124: Write and/or solve non-linear equations using various methods.
A126.96.36.199.1: Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
A188.8.131.52.2: Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x Â? 2) = 1 or the square root of (xÂ² + 21x) = 14).
A184.108.40.206.3: Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
A220.127.116.11.4: Write, solve, and/or apply linear or exponential growth or decay (including problem situations).
A18.104.22.168: Describe and/or determine change.
A22.214.171.124.1: Determine how a change in one variable relates to a change in a second variable (e.g., y = 4/x; if x doubles, what happens to y?).
A126.96.36.199.2: Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
A2.2.1: Patterns, Relations, and Functions
A188.8.131.52: Analyze and/or use patterns or relations.
A184.108.40.206.2: Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).
A220.127.116.11.3: Determine the domain, range, or inverse of a relation.
A18.104.22.168.4: Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increase/decrease, intercepts, zeros, and asymptotes).
A2.2.2: Applications of Functions
A22.214.171.124: Create, interpret, and/or use polynomial, exponential, and/or logarithmic functions and their equations, graphs, or tables.
A126.96.36.199.1: Create, interpret, and/or use the equation, graph, or table of a polynomial function (including quadratics).
A188.8.131.52.2: Create, interpret, and/or use the equation, graph, or table of an exponential or logarithmic function (including common and natural logarithms).
A184.108.40.206.3: Determine, use, and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential, or logarithmic function.
A220.127.116.11: Describe and/or determine families of functions.
A18.104.22.168.1: Identify or describe the effect of changing parameters within a family of functions (e.g., y = xÂ² and y = xÂ² + 3, or y = xÂ² and y = 3xÂ²).
A2.2.3: Data Analysis
A22.214.171.124: Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.
A126.96.36.199.1: Draw, identify, find, interpret, and/or write an equation for a regression model (lines and curves of best fit) for a scatter plot.
A188.8.131.52.2: Make predictions using the equations or graphs of regression models (lines and curves of best fit) of scatter plots.
A184.108.40.206: Apply probability to practical situations.
A220.127.116.11.1: Use combinations, permutations, and the fundamental counting principle to solve problems involving probability.
A18.104.22.168.3: Use probability for independent, dependent, or compound events to predict outcomes.
Correlation last revised: 1/20/2017