Algebra II - Select a Category
Mathematical Practices and Modeling
ALG2.1 Making Sense of Problems and Persevering - Select the correct use of context to identify givens, constraints, and goals; plan and monitor solution strategies; check reasonableness and revise when needed. Associated source-listed standards: CCSS MP.1; CA CCSSM MP.1; MA 2017 MP.1; NY NGLS MP.1; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.K12.MTR.1.1.
ALG2.2 Reasoning Abstractly and Quantitatively - Select the correct interpretation of quantities and units; represent relationships symbolically and in context; evaluate magnitude and units throughout the work. Associated source-listed standards: CCSS MP.2; N-Q.1–3; CA CCSSM MP.2; N-Q.1–3; MA 2017 MP.2; N-Q.1–3; NY NGLS MP.2; N-Q.1–3; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.K12.MTR.2.1.
ALG2.3 Constructing Arguments and Critiquing Reasoning - Select the correct use of definitions and properties to select the reasoning that justifies steps; evaluate arguments and identify counterexamples or missing assumptions. Associated source-listed standards: CCSS MP.3; CA CCSSM MP.3; MA 2017 MP.3; NY NGLS MP.3; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.K12.MTR.3.1.
ALG2.4 Modeling with Mathematics - Represent real situations with equations, functions, and statistical models; select the correct interpretation of parameters; validate and refine models using evidence. Associated source-listed standards: CCSS MP.4; ★ Modeling; CA CCSSM MP.4; ★ Modeling; MA 2017 MP.4; ★ Modeling; NY NGLS MP.4; ★ Modeling; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.K12.MTR.4.1.
ALG2.5 Using Tools Strategically - Select and use graphing technology, CAS, spreadsheets, and statistical tools; select the correct interpretation of outputs and recognize tool limitations. Associated source-listed standards: CCSS MP.5; CA CCSSM MP.5; MA 2017 MP.5; NY NGLS MP.5; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.K12.MTR.5.1.
ALG2.6 Attending to Precision and Units - Select the correct use of correct notation, labels, and units; communicate with appropriate rounding and significant digits; track and report sources of error when relevant. Associated source-listed standards: CCSS MP.6; N-Q.1-3; CA CCSSM MP.6; N-Q.1-3; MA 2017 MP.6; N-Q.1-3; NY NGLS MP.6; N-Q.1-3; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.K12.MTR.6.1.
ALG2.7 Using Structure to Rewrite and Solve - Identify structure (factoring patterns, completing the square, function forms) to simplify expressions and solve efficiently. Associated source-listed standards: CCSS MP.7; A-SSE.1–3; A-APR.1; CA CCSSM MP.7; A-SSE.1–3; A-APR.1; MA 2017 MP.7; A-SSE.1–3; A-APR.1; NY NGLS MP.7; A-SSE.1–3; A-APR.1; TX TEKS Algebra II: §111.40.
ALG2.8 Expressing Regularity in Repeated Reasoning - Notice repeating computations (iterations, recursion, transformations) and generalize to formulas, shortcuts, or error-checking routines. Associated source-listed standards: CCSS MP.8; F-BF.2; CA CCSSM MP.8; F-BF.2; MA 2017 MP.8; F-BF.2; NY NGLS MP.8; F-BF.2; TX TEKS Algebra II: §111.40.
ALG2.9 The Modeling Cycle - Define variables, assumptions, and constraints; create a select a model to; analyze and select the correct interpretation of results; report limitations; revise based on fit or residuals. Associated source-listed standards: CCSS ★ Modeling; CA CCSSM ★ Modeling; MA 2017 ★ Modeling; NY NGLS ★ Modeling; TX TEKS Algebra II: §111.40.
ALG2.10 Mathematical Communication and Representation Choices - Choose, compare, create, and translate among algebraic representations to communicate mathematical relationships clearly; use notation, labels, units, and interpretations that match the task and context. (MP.2)
ALG2.11 Error Analysis and Solution Verification - Select the statement that correctly checks solutions by substitution, graphing, or estimation; identify extraneous solutions; describe why an invalid step created an error. Associated source-listed standards: CCSS A-REI.1–3; A-REI.11; CA CCSSM A-REI.1–3; A-REI.11; MA 2017 A-REI.1–3; A-REI.11; NY NGLS A-REI.1–3; A-REI.11; TX TEKS Algebra II: §111.40.
ALG2.12 Solving with Multiple Methods - Select the correct solution(s) to a task using at least two methods (algebraic, graphical, numerical, or technological) and select the correct comparison to efficiency and clarity of each approach. Associated source-listed standards: CCSS MP.5; A-REI.11; CA CCSSM MP.5; A-REI.11; MA 2017 MP.5; A-REI.11; NY NGLS MP.5; A-REI.11; TX TEKS Algebra II: §111.40.
Mathematical Practices and Modeling — Micro Skills
ALG2.13 Interpreting Problem Statements and Constraints - Identify what is being asked, define variables, list constraints (including domain restrictions), and separate relevant from irrelevant information. Associated source-listed standards: CCSS MP.1; A-CED.1; CA CCSSM MP.1; A-CED.1; MA 2017 MP.1; A-CED.1; NY NGLS MP.1; A-CED.1; TX TEKS Algebra II: §111.40.
ALG2.14 Choosing an Efficient Strategy - Decide between factoring, completing the square, quadratic formula, substitution, elimination, graphing, or technology for a given task. Associated source-listed standards: CCSS MP.5; A-REI.4; A-REI.6; CA CCSSM MP.5; A-REI.4; A-REI.6; MA 2017 MP.5; A-REI.4; A-REI.6; NY NGLS MP.5; A-REI.4; A-REI.6; TX TEKS Algebra II: §111.40.
ALG2.15 Estimation and Reasonableness Checks - Select the best estimate for to predict approximate solutions and confirm algebraic or calculator outputs are reasonable. Associated source-listed standa
ALG2.16 Communicating Solutions with Units and Context - Select the statement that correctly states final answers with units, select the correct interpretation of key parameters, and clearly communicate limitations and assumptions. Associated source-listed standards: CCSS MP.6; N-Q.1–3; F-IF.4; CA CCSSM MP.6; N-Q.1–3; F-IF.4; MA 2017 MP.6; N-Q.1–3; F-IF.4; NY NGLS MP.6; N-Q.1–3; F-IF.4; TX TEKS Algebra II: §111.40.
ALG2.17 Choosing and Labeling Axes Appropriately - Select appropriate scales, labels, and units on graphs, and identify when a graph is misleading due to scale choices. Associated source-listed standards: CCSS MP.6; S-ID.1; CA CCSSM MP.6; S-ID.1; MA 2017 MP.6; S-ID.1; NY NGLS MP.6; S-ID.1; TX TEKS Algebra II: §111.40.
ALG2.18 Checking Domains and Constraints After Solving - Recheck solutions against original constraints (denominators, radicals, logarithm arguments, context limits) and remove invalid solutions. Associated source-listed standards: CCSS A-REI.2; F-IF.2; CA CCSSM A-REI.2; F-IF.2; MA 2017 A-REI.2; F-IF.2; NY NGLS A-REI.2; F-IF.2; TX TEKS Algebra II: §111.40.
ALG2.34 Using Technology to Confirm Numeric Approximations - Use graphing, tabular, and calculator technology to confirm reasonable decimal approximations of solutions, zeros, intersections, and function values in Algebra 2 contexts. (MP.5)
Number Systems and Algebraic Foundations
ALG2.19 Real Number System and Solution-Set Notation - Classify numbers (rational and irrational) and use interval, inequality, and set notation to describe domains and solution sets. Associated source-listed standards: CCSS N-RN.3; N-Q.1; A-REI.3; CA CCSSM N-RN.3; N-Q.1; A-REI.3; MA 2017 N-RN.3; N-Q.1; A-REI.3; NY NGLS N-RN.3; N-Q.1; A-REI.3; TX TEKS Algebra II: §111.40.
ALG2.20 Properties of Exponents with Rational Exponents - Extend exponent rules to rational exponents; simplify expressions; convert between radical form and exponent form. Associated source-listed standards: CCSS N-RN.1–2; CA CCSSM N-RN.1–2; MA 2017 N-RN.1–2; NY NGLS N-RN.1–2; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.912.NSO.1.1.
ALG2.21 Radicals and Simplification - Simplify radicals (including variables), combine like radicals, rationalize denominators, and simplify expressions containing radicals. Associated source-listed standards: CCSS N-RN.2; CA CCSSM N-RN.2; MA 2017 N-RN.2; NY NGLS N-RN.2; TX TEKS Algebra II: §111.40.
ALG2.22 Complex Numbers Foundations - Define i as sqrt(-1), rewrite sqrt(-a) as a multiple of i, and identify real and imaginary parts of a complex number. Associated source-listed standards: CCSS N-CN.1; CA CCSSM N-CN.1; MA 2017 N-CN.1; NY NGLS N-CN.1; TX TEKS Algebra II: §111.40.
ALG2.23 Complex Number Arithmetic - Add, subtract, multiply, and divide complex numbers; use complex conjugates to divide and simplify. Associated source-listed standards: CCSS N-CN.2; CA CCSSM N-CN.2; MA 2017 N-CN.2; NY NGLS N-CN.2; TX TEKS Algebra II: §111.40.
ALG2.24 Complex Numbers on the Complex Plane - Plot complex numbers on the complex plane and select the correct interpretation of absolute value (modulus) as distance from the origin. Associated source-listed standards: CCSS N-CN.3; CA CCSSM N-CN.3; MA 2017 N-CN.3; NY NGLS N-CN.3; TX TEKS Algebra II: §111.40.
ALG2.25 Using Complex Numbers to Solve Quadratics - Select the correct solution(s) to quadratic equations with negative discriminants and express solutions in a + bi form. Associated source-listed standards: CCSS N-CN.7; A-REI.4b; CA CCSSM N-CN.7; A-REI.4b; MA 2017 N-CN.7; A-REI.4b; NY NGLS N-CN.7; A-REI.4b; TX TEKS Algebra II: §111.40.
ALG2.26 Absolute Value and Distance - Select the correct interpretation of absolute value as distance; compute distance between points and use distance ideas within algebraic contexts. Associated source-listed standards: CCSS N-RN.3; A-REI.6; CA CCSSM N-RN.3; A-REI.6; MA 2017 N-RN.3; A-REI.6; NY NGLS N-RN.3; A-REI.6; TX TEKS Algebra II: §111.40.
Number Systems and Algebraic Foundations — Micro Skills
ALG2.27 Ordering and Approximating Irrational Numbers - Approximate square and cube roots and place irrational numbers on a number line to select the correct comparison to magnitude. Associated source-listed standards: CCSS N-RN.2; N-Q.2; CA CCSSM N-RN.2; N-Q.2; MA 2017 N-RN.2; N-Q.2; NY NGLS N-RN.2; N-Q.2; TX TEKS Algebra II: §111.40.
ALG2.28 Converting Between Radical and Exponent Forms - Select the correct conversion for between radical form, rational exponent form, and exponential form using exponent properties. Associated source-listed standards: CCSS N-RN.1–2; CA CCSSM N-RN.1–2; MA 2017 N-RN.1–2; NY NGLS N-RN.1–2; TX TEKS Algebra II: §111.40.
ALG2.29 Rationalizing Denominators and Using Conjugates - Select the correct use of a conjugate to remove radicals or imaginary units from denominators and simplify the result. Associated source-listed standards: CCSS N-RN.2; N-CN.2; CA CCSSM N-RN.2; N-CN.2; MA 2017 N-RN.2; N-CN.2; NY NGLS N-RN.2; N-CN.2; TX TEKS Algebra II: §111.40.
ALG2.30 Identifying and Correcting Exponent Misconceptions - Detect and correct common errors (such as adding exponents incorrectly or misapplying powers to sums). Associated source-listed standards: CCSS MP.6; N-RN.1; CA CCSSM MP.6; N-RN.1; MA 2017 MP.6; N-RN.1; NY NGLS MP.6; N-RN.1; TX TEKS Algebra II: §111.40.
ALG2.31 Interpreting Modulus and Conjugates - Select the correct use of modulus and conjugates to simplify complex quotients and select the correct interpretation of conjugates geometrically as reflections across the real axis. Associated source-listed standards: CCSS N-CN.3; CA CCSSM N-CN.3; MA 2017 N-CN.3; NY NGLS N-CN.3; TX TEKS Algebra II: §111.40.
ALG2.32 Selecting Appropriate Precision for Approximations - Select rounding that matches context (nearest tenth, nearest percent, scientific notation) and select the statement that explains the impact of rounding. Associated source-listed standards: CCSS N-Q.3; MP.6; CA CCSSM N-Q.3; MP.6; MA 2017 N-Q.3; MP.6; NY NGLS N-Q.3; MP.6; TX TEKS Algebra II: §111.40.
ALG2.33 Simplifying Nested Radicals and Radicals with Fractions - Simplify radicals with fractional coefficients or nested expressions while maintaining equivalent form. Associated source-listed standards: CCSS N-RN.2; CA CCSSM N-RN.2; MA 2017 N-RN.2; NY NGLS N-RN.2; TX TEKS Algebra II: §111.40.
Expression Structure and Algebraic Manipulation
ALG2.35 Interpreting Structure of Expressions - Identify terms, factors, and coefficients, and select the correct interpretation of parts of an expression in context (including units and meaning of parameters). Associated source-listed standards: CCSS A-SSE.1; CA CCSSM A-SSE.1; MA 2017 A-SSE.1; NY NGLS A-SSE.1; TX TEKS Algebra II: §111.40.
ALG2.36 Rewriting Expressions to Reveal Features - Factor, expand, and complete the square to reveal zeros, extrema, or growth rates, and to make a question easier to answer. Associated source-listed standards: CCSS A-SSE.2–3; F-IF.8a; CA CCSSM A-SSE.2–3; F-IF.8a; MA 2017 A-SSE.2–3; F-IF.8a; NY NGLS A-SSE.2–3; F-IF.8a; TX TEKS Algebra II: §111.40.
ALG2.37 Polynomial Factoring Strategies - Factor quadratics (including non-monic), difference of squares, and factor by grouping; use sum and difference of cubes when applicable. Associated source-listed standards: CCSS A-SSE.3a; A-APR.1; CA CCSSM A-SSE.3a; A-APR.1; MA 2017 A-SSE.3a; A-APR.1; NY NGLS A-SSE.3a; A-APR.1; TX TEKS Algebra II: §111.40.
ALG2.38 Completing the Square as an Algebraic Tool - Rewrite quadratics into vertex form and use the result to solve equations, graph functions, or select the correct interpretation of maximum and minimum values. Associated source-listed standards: CCSS A-SSE.3b; F-IF.8a; CA CCSSM A-SSE.3b; F-IF.8a; MA 2017 A-SSE.3b; F-IF.8a; NY NGLS A-SSE.3b; F-IF.8a; TX TEKS Algebra II: §111.40.
ALG2.39 Algebraic Manipulation with Rational Expressions - Simplify and rewrite rational expressions by factoring and canceling, while clearly stating excluded values in the domain. Associated source-listed standards: CCSS A-APR.6; CA CCSSM A-APR.6; MA 2017 A-APR.6; NY NGLS A-APR.6; TX TEKS Algebra II: §111.40.
ALG2.40 Using Identities to Simplify and Solve - Select the correct use of algebraic identities (square of a sum, product of conjugates) to transform expressions and support efficient solving. Associated source-listed standards: CCSS A-APR.1; A-SSE.2; CA CCSSM A-APR.1; A-SSE.2; MA 2017 A-APR.1; A-SSE.2; NY NGLS A-APR.1; A-SSE.2; TX TEKS Algebra II: §111.40.
ALG2.41 Creating Equivalent Forms for Modeling - Select equivalent algebraic forms that expose key quantities in a context (for example, vertex form for maximum revenue). Associated source-listed standards: CCSS A-SSE.3; A-CED.1; CA CCSSM A-SSE.3; A-CED.1; MA 2017 A-SSE.3; A-CED.1; NY NGLS A-SSE.3; A-CED.1; TX TEKS Algebra II: §111.40.
Expression Structure and Algebraic Manipulation — Micro Skills
ALG2.42 Recognizing and Using Common Factoring Patterns - Match expressions to factoring patterns and select an efficient factoring path before performing algebraic steps. Associated source-listed standards: CCSS A-SSE.2; A-APR.1; CA CCSSM A-SSE.2; A-APR.1; MA 2017 A-SSE.2; A-APR.1; NY NGLS A-SSE.2; A-APR.1; TX TEKS Algebra II: §111.40.
ALG2.43 Managing Multi-Step Simplification - Maintain equivalence across multi-step rewrites, including distribution, combining like terms, and careful sign control. Associated source-listed standards: CCSS A-REI.1; MP.6; CA CCSSM A-REI.1; MP.6; MA 2017 A-REI.1; MP.6; NY NGLS A-REI.1; MP.6; TX TEKS Algebra II: §111.40.
ALG2.44 Identifying Domain Restrictions Early - Identify values that make denominators zero, even-root radicands negative, or logarithm arguments nonpositive before solving or simplifying. Associated source-listed standards: CCSS A-REI.2; F-IF.2; F-LE.4; CA CCSSM A-REI.2; F-IF.2; F-LE.4; MA 2017 A-REI.2; F-IF.2; F-LE.4; NY NGLS A-REI.2; F-IF.2; F-LE.4; TX TEKS Algebra II: §111.40.
ALG2.45 Verifying Equivalent Expressions - Select the correct use of substitution, numeric checks, or technology to verify that two expressions are equivalent over a stated domain. Associated source-listed standards: CCSS A-SSE.2; MP.5; CA CCSSM A-SSE.2; MP.5; MA 2017 A-SSE.2; MP.5; NY NGLS A-SSE.2; MP.5; TX TEKS Algebra II: §111.40.
ALG2.46 Selecting the Best Form for a Task - Decide when factored, vertex, or standard form best supports graphing, solving, or interpreting a function. Associated source-listed standards: CCSS A-SSE.3; F-IF.8; CA CCSSM A-SSE.3; F-IF.8; MA 2017 A-SSE.3; F-IF.8; NY NGLS A-SSE.3; F-IF.8; TX TEKS Algebra II: §111.40.
ALG2.47 Checking Factoring by Multiplying Back - Confirm a factorization by expanding the product and matching the original expression term-by-term. Associated source-listed standards: CCSS A-APR.1; MP.6; CA CCSSM A-APR.1; MP.6; MA 2017 A-APR.1; MP.6; NY NGLS A-APR.1; MP.6; TX TEKS Algebra II: §111.40.
ALG2.48 Interpreting Parameter Changes in Expressions - Select the statement that correctly explains how changing a parameter in an expression changes outputs, intercepts, or a select a model to’s meaning (for example, changing the vertex). Associated source-listed standards: CCSS F-IF.4; A-SSE.1; CA CCSSM F-IF.4; A-SSE.1; MA 2017 F-IF.4; A-SSE.1; NY NGLS F-IF.4; A-SSE.1; TX TEKS Algebra II: §111.40.
Linear Equations, Inequalities, and Systems
ALG2.49 Solving Linear Equations - Select the correct solution(s) to multi-step linear equations (including rational coefficients) and select the correct interpretation of solutions in mathematical and real-world contexts. Associated source-listed standards: CCSS A-REI.1; A-REI.3; CA CCSSM A-REI.1; A-REI.3; MA 2017 A-REI.1; A-REI.3; NY NGLS A-REI.1; A-REI.3; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.912.AR.2.6.
ALG2.50 Linear Inequalities and Solution Sets - Select the correct solution(s) to and graph linear inequalities (including compound inequalities) and express solution sets using interval notation and inequalities. Associated source-listed standards: CCSS A-REI.3; CA CCSSM A-REI.3; MA 2017 A-REI.3; NY NGLS A-REI.3; TX TEKS Algebra II: §111.40.
ALG2.51 Two-Variable Linear Inequalities and Regions - Select the graph that matches inequalities in the coordinate plane, select the correct interpretation of half-planes and boundary lines, and solve systems of inequalities. Associated source-listed standards: CCSS A-REI.12; CA CCSSM A-REI.12; MA 2017 A-REI.12; NY NGLS A-REI.12; TX TEKS Algebra II: §111.40.
ALG2.52 Systems of Linear Equations in Two Variables - Select the correct solution(s) to systems by graphing, substitution, or elimination and select the correct interpretation of no solution, one solution, or infinitely many solutions. (A-REI.5–6)
ALG2.53 Systems of Linear Equations in Three Variables - Select the correct solution(s) to three-variable systems using substitution or elimination and select the correct interpretation of solution types (unique, none, infinite). Associated source-listed standards: CCSS A-REI.7; CA CCSSM A-REI.7; MA 2017 A-REI.7; NY NGLS A-REI.7; TX TEKS Algebra II: §111.40.
ALG2.54 Linear Programming and Optimization - Identify a feasible region from constraints, find vertices, evaluate an objective function, and choose an optimal solution with interpretation. Associated source-listed standards: CCSS A-CED.3; A-REI.12; ★ Modeling; CA CCSSM A-CED.3; A-REI.12; ★ Modeling; MA 2017 A-CED.3; A-REI.12; ★ Modeling; NY NGLS A-CED.3; A-REI.12; ★ Modeling; TX TEKS Algebra II: §111.40.
ALG2.55 Linear Models in Context - Select the equation, inequality, expression, or function that represents and select the correct interpretation of linear functions from contexts or data, including slope and intercept with units and limitations. Associated source-listed standards: CCSS F-LE.1a; F-IF.4; CA CCSSM F-LE.1a; F-IF.4; MA 2017 F-LE.1a; F-IF.4; NY NGLS F-LE.1a; F-IF.4; TX TEKS Algebra II: §111.40.
Linear Equations, Inequalities, and Systems — Micro Skills
ALG2.56 Rearranging Literal Equations - Select the correct solution(s) to formulas for a chosen variable, including clearing fractions and factoring when needed. Associated source-listed standards: CCSS A-CED.4; CA CCSSM A-CED.4; MA 2017 A-CED.4; NY NGLS A-CED.4; TX TEKS Algebra II: §111.40.
ALG2.57 Interpreting Solutions to Systems - Select the correct interpretation of solutions as intersections and check whether solutions satisfy all constraints in context. Associated source-listed standards: CCSS A-REI.6; MP.2; CA CCSSM A-REI.6; MP.2; MA 2017 A-REI.6; MP.2; NY NGLS A-REI.6; MP.2; TX TEKS Algebra II: §111.40.
ALG2.58 Checking System Solutions - Select the statement that correctly verifies candidate solutions by substitution and select the statement that explains why an inconsistent system has no solution. Associated source-listed standards: CCSS A-REI.6; MP.6; CA CCSSM A-REI.6; MP.6; MA 2017 A-REI.6; MP.6; NY NGLS A-REI.6; MP.6; TX TEKS Algebra II: §111.40.
ALG2.59 Writing Inequalities from Graphs - Identify inequality symbols and boundary types from shading and line style, and write the inequality that matches a graph. Associated source-listed standards: CCSS A-REI.12; CA CCSSM A-REI.12; MA 2017 A-REI.12; NY NGLS A-REI.12; TX TEKS Algebra II: §111.40.
ALG2.60 Writing Systems from Context - Translate relationships and constraints into a system of equations or inequalities with clearly defined variables. Associated source-listed standards: CCSS A-CED.2–3; CA CCSSM A-CED.2–3; MA 2017 A-CED.2–3; NY NGLS A-CED.2–3; TX TEKS Algebra II: §111.40.
ALG2.61 Choosing a Method for Linear Systems - Decide whether graphing, substitution, elimination, or technology is most efficient and select the reasoning that justifies the choice. Associated source-listed standards: CCSS MP.5; A-REI.6; CA CCSSM MP.5; A-REI.6; MA 2017 MP.5; A-REI.6; NY NGLS MP.5; A-REI.6; TX TEKS Algebra II: §111.40.
ALG2.62 Sensitivity and Constraint Reasonableness - Select the statement that best describes how changing a constraint changes the feasible region and potentially the optimal solution in an optimization problem. Associated source-listed standards: CCSS ★ Modeling; MP.4; CA CCSSM ★ Modeling; MP.4; MA 2017 ★ Modeling; MP.4; NY NGLS ★ Modeling; MP.4; TX TEKS Algebra II: §111.40.
Function Concepts and Representations
ALG2.63 Functions, Notation, and Evaluation - Select the correct use of function notation, evaluate functions for given inputs, and select the correct interpretation of f(x) as an output linked to an input in context. (F-IF.1–2)
ALG2.64 Determining Domain and Range - Identify and state domain and range from graphs, tables, and formulas, including restrictions from context. Associated source-listed standards: CCSS F-IF.2; F-IF.5; CA CCSSM F-IF.2; F-IF.5; MA 2017 F-IF.2; F-IF.5; NY NGLS F-IF.2; F-IF.5; TX TEKS Algebra II: §111.40.
ALG2.65 Graph Features and Key Characteristics - Identify intercepts, maxima and minima, intervals of increase and decrease, and end behavior from a graph or function description. Associated source-listed standards: CCSS F-IF.4–5; F-IF.7; CA CCSSM F-IF.4–5; F-IF.7; MA 2017 F-IF.4–5; F-IF.7; NY NGLS F-IF.4–5; F-IF.7; TX TEKS Algebra II: §111.40.
ALG2.66 Average Rate of Change - Select the correct computed value for and select the correct interpretation of average rate of change from a function's table, graph, or expression and connect it to slope in context. Associated source-listed standards: CCSS F-IF.6; CA CCSSM F-IF.6; MA 2017 F-IF.6; NY NGLS F-IF.6; TX TEKS Algebra II: §111.40.
ALG2.67 Comparing Functions Across Representations - Select the correct comparison between properties of two functions represented in different ways and decide which grows faster or has larger values over an interval. Associated source-listed standards: CCSS F-IF.9; CA CCSSM F-IF.9; MA 2017 F-IF.9; NY NGLS F-IF.9; TX TEKS Algebra II: §111.40.
ALG2.68 Piecewise-Defined Functions - Evaluate and graph piecewise-defined functions and select the correct interpretation of what each interval represents in a situation. Associated source-listed standards: CCSS F-IF.2; F-IF.7; CA CCSSM F-IF.2; F-IF.7; MA 2017 F-IF.2; F-IF.7; NY NGLS F-IF.2; F-IF.7; TX TEKS Algebra II: §111.40.
ALG2.69 Recognizing Families of Functions - Identify linear, quadratic, polynomial, rational, radical, exponential, logarithmic, and trigonometric families based on key features. Associated source-listed standards: CCSS F-IF.4; F-IF.7; F-LE.1; F-TF.2; CA CCSSM F-IF.4; F-IF.7; F-LE.1; F-TF.2; MA 2017 F-IF.4; F-IF.7; F-LE.1; F-TF.2; NY NGLS F-IF.4; F-IF.7; F-LE.1; F-TF.2; TX TEKS Algebra II: §111.40.
Function Concepts and Representations — Micro Skills
ALG2.70 Identifying Whether a Relation Is a Function - Select the correct use of mapping diagrams, tables, graphs, and the vertical line test to decide whether a relation is a function. Associated source-listed standards: CCSS F-IF.1; CA CCSSM F-IF.1; MA 2017 F-IF.1; NY NGLS F-IF.1; TX TEKS Algebra II: §111.40.
ALG2.71 Completing Tables from Graphs - Read and generate input-output tables from function graphs, including estimating values when needed. Associated source-listed standards: CCSS F-IF.4; MP.5; CA CCSSM F-IF.4; MP.5; MA 2017 F-IF.4; MP.5; NY NGLS F-IF.4; MP.5; TX TEKS Algebra II: §111.40.
ALG2.72 Interpreting Function Parameters - Select the correct interpretation of the meaning of parameters (such as a, b, h, and k) in function forms and in real-world contexts. Associated source-listed standards: CCSS F-IF.4; F-BF.1; CA CCSSM F-IF.4; F-BF.1; MA 2017 F-IF.4; F-BF.1; NY NGLS F-IF.4; F-BF.1; TX TEKS Algebra II: §111.40.
ALG2.73 Interpreting Intercepts and Zeros in Context - Select the correct interpretation of x-intercepts, y-intercepts, and zeros as meaningful quantities in a situation and decide which are relevant. (F-IF.4)
ALG2.74 Identifying End Behavior from Expressions - Identify end behavior from function structure (polynomial leading term, exponential base, rational degrees) and select the correct comparison to with graphs. Associated source-listed standards: CCSS F-IF.7c–e; CA CCSSM F-IF.7c–e; MA 2017 F-IF.7c–e; NY NGLS F-IF.7c–e; TX TEKS Algebra II: §111.40.
ALG2.75 Even and Odd Function Symmetry (Extension) - Identify whether a function is even, odd, or neither from equations or graphs and use symmetry to make predictions. Associated source-listed standards: Course extension; commonly included in Algebra 2 scopes such as IXL Algebra 2..
ALG2.76 Domain Restrictions from Context - Identify and select the reasoning that justifies input restrictions caused by context (time, length, counts) and connect them to graph segments. Associated source-listed standards: CCSS F-IF.2; MP.2; CA CCSSM F-IF.2; MP.2; MA 2017 F-IF.2; MP.2; NY NGLS F-IF.2; MP.2; TX TEKS Algebra II: §111.40.
Transformations, Composition, and Inverses of Functions
ALG2.77 Transformations of Function Graphs - Select the statement that best describes and apply translations, reflections, and stretches or compressions to create new functions from parent functions. Associated source-listed standards: CCSS F-BF.3; CA CCSSM F-BF.3; MA 2017 F-BF.3; NY NGLS F-BF.3; TX TEKS Algebra II: §111.40.
ALG2.78 Writing Transformed Functions - Select the equation, inequality, expression, or function that represents an equation for a transformed function given a parent function and a sequence of transformations. Associated source-listed standards: CCSS F-BF.3; CA CCSSM F-BF.3; MA 2017 F-BF.3; NY NGLS F-BF.3; TX TEKS Algebra II: §111.40.
ALG2.79 Function Composition - Compose functions and select the correct interpretation of the meaning of a composite function in context, including domain restrictions. Associated source-listed standards: CCSS F-BF.1c; CA CCSSM F-BF.1c; MA 2017 F-BF.1c; NY NGLS F-BF.1c; TX TEKS Algebra II: §111.40.
ALG2.80 Inverse Functions and Verification - Identify whether two functions are inverses and verify inverses using composition and/or graph symmetry. Associated source-listed standards: CCSS F-BF.4a; CA CCSSM F-BF.4a; MA 2017 F-BF.4a; NY NGLS F-BF.4a; TX TEKS Algebra II: §111.40.
ALG2.81 Finding Inverses Algebraically - Find the inverse of a one-to-one function and restrict domain when necessary to make an inverse exist. Associated source-listed standards: CCSS F-BF.4a; CA CCSSM F-BF.4a; MA 2017 F-BF.4a; NY NGLS F-BF.4a; TX TEKS Algebra II: §111.40.
ALG2.82 Operations on Functions - Add, subtract, multiply, and divide functions and state the domain of each result (especially for quotients). Associated source-listed standards: CCSS F-BF.1a; F-IF.2; CA CCSSM F-BF.1a; F-IF.2; MA 2017 F-BF.1a; F-IF.2; NY NGLS F-BF.1a; F-IF.2; TX TEKS Algebra II: §111.40.
ALG2.83 Modeling with Function Operations - Select the correct use of function operations and composition to select a model to combined processes (for example, total cost and tax, or converting units). Associated source-listed standards: CCSS F-BF.1a,c; ★ Modeling; CA CCSSM F-BF.1a,c; ★ Modeling; MA 2017 F-BF.1a,c; ★ Modeling; NY NGLS F-BF.1a,c; ★ Modeling; TX TEKS Algebra II: §111.40.
Transformations, Composition, and Inverses of Functions — Micro Skills
ALG2.84 Identifying Parent Functions - Identify common parent graphs (linear, quadratic, absolute value, reciprocal, square root, cubic, exponential, logarithmic). Associated source-listed standards: CCSS F-IF.7; F-BF.3; CA CCSSM F-IF.7; F-BF.3; MA 2017 F-IF.7; F-BF.3; NY NGLS F-IF.7; F-BF.3; TX TEKS Algebra II: §111.40.
ALG2.85 Reading Transformations from Graphs - Identify which transformations map a parent function to a given graph and select the reasoning that justifies using key points and symmetry. Associated source-listed standards: CCSS F-BF.3; MP.7; CA CCSSM F-BF.3; MP.7; MA 2017 F-BF.3; MP.7; NY NGLS F-BF.3; MP.7; TX TEKS Algebra II: §111.40.
ALG2.86 Determining When a Function Is One-to-One - Select the correct use of the horizontal line test and reasoning to determine whether a function is one-to-one and how to restrict its domain if needed. Associated source-listed standards: CCSS F-BF.4a; CA CCSSM F-BF.4a; MA 2017 F-BF.4a; NY NGLS F-BF.4a; TX TEKS Algebra II: §111.40.
ALG2.87 Interpreting Inverse Relationships on Graphs - Select the correct use of symmetry about y = x to select the correct interpretation of inverse graphs and identify corresponding input-output pairs. Associated source-listed standards: CCSS F-BF.4a; CA CCSSM F-BF.4a; MA 2017 F-BF.4a; NY NGLS F-BF.4a; TX TEKS Algebra II: §111.40.
ALG2.88 Decomposing Composite Functions - Identify component functions within a composition and select the statement that explains how the inner function changes inputs before the outer function acts. Associated source-listed standards: CCSS F-BF.1c; CA CCSSM F-BF.1c; MA 2017 F-BF.1c; NY NGLS F-BF.1c; TX TEKS Algebra II: §111.40.
ALG2.89 Domain Restrictions in Function Operations - Select the statement that correctly states and select the reasoning that justifies domain restrictions in sums, products, quotients, and compositions, including restrictions from context. Associated source-listed standards: CCSS F-IF.2; F-BF.1a,c; CA CCSSM F-IF.2; F-BF.1a,c; MA 2017 F-IF.2; F-BF.1a,c; NY NGLS F-IF.2; F-BF.1a,c; TX TEKS Algebra II: §111.40.
ALG2.90 Using Technology to Explore Transformations - Select the correct use of graphing technology to test transformation conjectures and confirm how parameters change a graph. Associated source-listed standards: CCSS MP.5; F-BF.3; CA CCSSM MP.5; F-BF.3; MA 2017 MP.5; F-BF.3; NY NGLS MP.5; F-BF.3; TX TEKS Algebra II: §111.40.
Quadratic Functions and Complex Solutions
ALG2.91 Quadratic Function Forms and Features - Select the statement that correctly connects standard, vertex, and factored forms to intercepts, vertex, axis of symmetry, and direction of opening. Associated source-listed standards: CCSS F-IF.7a; A-SSE.3; CA CCSSM F-IF.7a; A-SSE.3; MA 2017 F-IF.7a; A-SSE.3; NY NGLS F-IF.7a; A-SSE.3; TX TEKS Algebra II: §111.40.
ALG2.92 Quadratic Equations by Factoring - Select the correct solution(s) to quadratic equations by factoring and select the correct interpretation of solutions as zeros and x-intercepts. Associated source-listed standards: CCSS A-REI.4b; A-SSE.3a; CA CCSSM A-REI.4b; A-SSE.3a; MA 2017 A-REI.4b; A-SSE.3a; NY NGLS A-REI.4b; A-SSE.3a; TX TEKS Algebra II: §111.40.
ALG2.93 Quadratic Equations by Completing the Square - Select the correct solution(s) to quadratic equations by completing the square and connect the result to vertex form and graph features. Associated source-listed standards: CCSS A-REI.4a; A-SSE.3b; CA CCSSM A-REI.4a; A-SSE.3b; MA 2017 A-REI.4a; A-SSE.3b; NY NGLS A-REI.4a; A-SSE.3b; TX TEKS Algebra II: §111.40.
ALG2.94 Quadratic Formula and Discriminant - Select the correct use of the quadratic formula and select the correct interpretation of the discriminant to predict the number and type of solutions. Associated source-listed standards: CCSS A-REI.4b; CA CCSSM A-REI.4b; MA 2017 A-REI.4b; NY NGLS A-REI.4b; TX TEKS Algebra II: §111.40.
ALG2.95 Graphing Quadratic Functions - Select the graph that matches quadratic functions using vertex and intercepts, identify transformations from the parent parabola, and select the correct interpretation of maximum or minimum values. Associated source-listed standards: CCSS F-IF.7a; F-BF.3; CA CCSSM F-IF.7a; F-BF.3; MA 2017 F-IF.7a; F-BF.3; NY NGLS F-IF.7a; F-BF.3; TX TEKS Algebra II: §111.40.
ALG2.96 Quadratic Inequalities - Select the correct solution(s) to quadratic inequalities using graphs and sign analysis, and express solution sets using interval notation. Associated source-listed standards: CCSS A-REI.11–12; CA CCSSM A-REI.11–12; MA 2017 A-REI.11–12; NY NGLS A-REI.11–12; TX TEKS Algebra II: §111.40.
ALG2.97 Modeling with Quadratic Functions - Select the equation, function, or select a model to that represents quadratic models from data or context (such as area or projectile motion) and select the correct interpretation of parameters and reasonable domains. Associated source-listed standards: CCSS F-BF.1a; A-CED.2; ★ Modeling; CA CCSSM F-BF.1a; A-CED.2; ★ Modeling; MA 2017 F-BF.1a; A-CED.2; ★ Modeling; NY NGLS F-BF.1a; A-CED.2; ★ Modeling; TX TEKS Algebra II: §111.40.
ALG2.98 Complex Solutions and Conjugate Pairs - Select the correct solution(s) to quadratics with complex roots and recognize that non-real roots come in conjugate pairs for polynomials with real coefficients. Associated source-listed standards: CCSS N-CN.7; A-REI.4b; CA CCSSM N-CN.7; A-REI.4b; MA 2017 N-CN.7; A-REI.4b; NY NGLS N-CN.7; A-REI.4b; TX TEKS Algebra II: §111.40.
Quadratic Functions and Complex Solutions — Micro Skills
ALG2.99 Identifying Vertex and Axis of Symmetry - Identify vertex and axis of symmetry from any quadratic form and from graphs, and connect symmetry to equal y-values at symmetric x-values. Associated source-listed standards: CCSS F-IF.8a; CA CCSSM F-IF.8a; MA 2017 F-IF.8a; NY NGLS F-IF.8a; TX TEKS Algebra II: §111.40.
ALG2.100 Converting Between Quadratic Forms - Rewrite quadratics between standard, vertex, and factored forms to answer questions about intercepts, vertex, and maximum or minimum values. Associated source-listed standards: CCSS A-SSE.3; CA CCSSM A-SSE.3; MA 2017 A-SSE.3; NY NGLS A-SSE.3; TX TEKS Algebra II: §111.40.
ALG2.101 Estimating Solutions Graphically - Approximate roots from graphs or tables and refine or confirm with algebraic methods or technology. Associated source-listed standards: CCSS A-REI.11; MP.5; CA CCSSM A-REI.11; MP.5; MA 2017 A-REI.11; MP.5; NY NGLS A-REI.11; MP.5; TX TEKS Algebra II: §111.40.
ALG2.102 Selecting the Best Quadratic Solution Method - Select between factoring, square root method, completing the square, or quadratic formula based on the equation’s form and context. Associated source-listed standards: CCSS A-REI.4; MP.5; CA CCSSM A-REI.4; MP.5; MA 2017 A-REI.4; MP.5; NY NGLS A-REI.4; MP.5; TX TEKS Algebra II: §111.40.
ALG2.103 Interpreting Zeros in Context - Select the correct interpretation of zeros as times, distances, break-even points, or other meaningful inputs and decide which solutions make sense in context. Associated source-listed standards: CCSS F-IF.4; A-REI.11; CA CCSSM F-IF.4; A-REI.11; MA 2017 F-IF.4; A-REI.11; NY NGLS F-IF.4; A-REI.11; TX TEKS Algebra II: §111.40.
ALG2.104 Detecting Extraneous Solutions - Identify when algebraic steps can introduce invalid solutions and verify by substitution into the original equation. Associated source-listed standards: CCSS A-REI.2; MP.6; CA CCSSM A-REI.2; MP.6; MA 2017 A-REI.2; MP.6; NY NGLS A-REI.2; MP.6; TX TEKS Algebra II: §111.40.
ALG2.105 Linking Solutions to Intersections - Select the statement that correctly relates solutions of quadratic equations to x-intercepts and to intersections in systems of equations. Associated source-listed standards: CCSS A-REI.11; CA CCSSM A-REI.11; MA 2017 A-REI.11; NY NGLS A-REI.11; TX TEKS Algebra II: §111.40.
ALG2.106 Using the Discriminant to Predict Graph Intersections - Select the correct use of the discriminant to predict whether a parabola will intersect the x-axis (two, one, or zero real intersections). Associated source-listed standards: CCSS A-REI.4b; F-IF.7a; CA CCSSM A-REI.4b; F-IF.7a; MA 2017 A-REI.4b; F-IF.7a; NY NGLS A-REI.4b; F-IF.7a; TX TEKS Algebra II: §111.40.
Polynomial Functions and Equations
ALG2.107 Polynomial Operations - Add, subtract, and multiply polynomials, including using identities to expand and simplify expressions. Associated source-listed standards: CCSS A-APR.1; CA CCSSM A-APR.1; MA 2017 A-APR.1; NY NGLS A-APR.1; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.912.AR.1.6.
ALG2.108 Polynomial Division - Practice questions for Polynomial Division.
ALG2.109 Remainder and Factor Theorems - Practice questions for Remainder and Factor Theorems.
ALG2.110 Zeros, Multiplicity, and Intercepts - Primary standard selected for prompt fields in this prompt cell: CCSS A-APR.3. Skill statement in this prompt cell: Find zeros from factors, connect zeros to x-intercepts, and analyze how multiplicity affects the graph's behavior at intercepts. Associated standards listed with this skill in this prompt cell: CCSS A-APR.3; F-IF.7c; CA CCSSM A-APR.3; F-IF.7c; MA 2017 A-APR.3; F-IF.7c; NY NGLS A-APR.3; F-IF.7c; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.111 Writing Polynomials from Zeros - Practice questions for Writing Polynomials from Zeros.
ALG2.112 Polynomial Graphs and End Behavior - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7c. Skill statement in this prompt cell: Sketch and match polynomial graphs using degree, leading coefficient, zeros, and multiplicities; determine end behavior. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7c; CA CCSSM F-IF.7c; MA 2017 F-IF.7c; NY NGLS F-IF.7c; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.113 Solving Polynomial Equations - Practice questions for Solving Polynomial Equations.
ALG2.114 Polynomial Inequalities - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.11–12. Skill statement in this prompt cell: Select the correct solution(s) to polynomial inequalities using sign charts and interval testing, and connect solutions to graph regions. Associated standards listed with this skill in this prompt cell: CCSS A-REI.11–12; CA CCSSM A-REI.11–12; MA 2017 A-REI.11–12; NY NGLS A-REI.11–12; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.115 Binomial Theorem - Practice questions for Binomial Theorem.
Polynomial Functions and Equations — Micro Skills
ALG2.116 Factoring by Grouping and Special Forms - Practice questions for Factoring by Grouping and Special Forms.
ALG2.117 Rational Root Theorem - Practice questions for Rational Root Theorem.
ALG2.118 Descartes Rule of Signs - No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: Select the correct use of sign changes to predict possible numbers of positive and negative real zeros and select the correct comparison to predictions to graphing results. Additional source note attached to this skill in the prompt cell: Course extension; commonly included in Algebra 2 scopes such as IXL Algebra 2.. Use this curriculum wording and the source skill identifier ALG2.118 as the best available supporting standard description for this prompt-prep workflow.
ALG2.119 Fundamental Theorem of Algebra - Practice questions for Fundamental Theorem of Algebra.
ALG2.120 Using Technology to Approximate Zeros - Primary standard selected for prompt fields in this prompt cell: CCSS MP.5. Skill statement in this prompt cell: Select the correct use of graphing or numeric tools to approximate irrational zeros and confirm approximations by substitution or factoring checks. Associated standards listed with this skill in this prompt cell: CCSS MP.5; A-REI.11; CA CCSSM MP.5; A-REI.11; MA 2017 MP.5; A-REI.11; NY NGLS MP.5; A-REI.11; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.121 Interpreting Polynomial Models - Practice questions for Interpreting Polynomial Models.
ALG2.122 Comparing Polynomial Models - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Select the correct comparison between linear, quadratic, and higher-degree models for the same data and select the reasoning that justifies selection using residuals and context. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; S-ID.8; ★ Modeling; CA CCSSM S-ID.6; S-ID.8; ★ Modeling; MA 2017 S-ID.6; S-ID.8; ★ Modeling; NY NGLS S-ID.6; S-ID.8; ★ Modeling; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.123 Domain and Range of Polynomials - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.2. Skill statement in this prompt cell: Select the statement that correctly states domain and range from graphs and context and recognize that polynomials have domain over all real numbers without contextual restriction. Associated standards listed with this skill in this prompt cell: CCSS F-IF.2; F-IF.5; CA CCSSM F-IF.2; F-IF.5; MA 2017 F-IF.2; F-IF.5; NY NGLS F-IF.2; F-IF.5; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.124 Even and Odd Polynomial Symmetry - No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: Identify even and odd polynomial functions and use symmetry to predict graph behavior. Additional source note attached to this skill in the prompt cell: Course extension; commonly included in Algebra 2 scopes such as IXL Algebra 2. Use this curriculum wording and the source skill identifier ALG2.124 as the best available supporting standard description for this prompt-prep workflow.
Rational Expressions and Rational Functions
ALG2.125 Simplifying Rational Expressions - Practice questions for Simplifying Rational Expressions.
ALG2.126 Operations with Rational Expressions - Practice questions for Operations with Rational Expressions.
ALG2.127 Solving Rational Equations - Practice questions for Solving Rational Equations.
ALG2.128 Rational Inequalities - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.12. Skill statement in this prompt cell: Select the correct solution(s) to rational inequalities using sign charts and critical points, and graph solution sets with excluded values. Associated standards listed with this skill in this prompt cell: CCSS A-REI.12; CA CCSSM A-REI.12; MA 2017 A-REI.12; NY NGLS A-REI.12; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.129 Graphing Rational Functions - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7d. Skill statement in this prompt cell: Select the graph that matches rational functions and identify intercepts, vertical and horizontal (or slant) asymptotes, holes, and end behavior. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7d; A-REI.11; CA CCSSM F-IF.7d; A-REI.11; MA 2017 F-IF.7d; A-REI.11; NY NGLS F-IF.7d; A-REI.11; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.130 Interpreting Asymptotes and Restrictions - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.4–5. Skill statement in this prompt cell: Select the correct interpretation of asymptotes and domain restrictions in context (for example, rates or limits) and decide what outputs are realistic. Associated standards listed with this skill in this prompt cell: CCSS F-IF.4–5; ★ Modeling; CA CCSSM F-IF.4–5; ★ Modeling; MA 2017 F-IF.4–5; ★ Modeling; NY NGLS F-IF.4–5; ★ Modeling; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.131 Inverse Variation and Rational Models - Practice questions for Inverse Variation and Rational Models.
ALG2.132 Rational Function Transformations - Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.3. Skill statement in this prompt cell: Select the correct application of transformations to reciprocal functions and select the correct interpretation of changes to asymptotes and intercepts. Associated standards listed with this skill in this prompt cell: CCSS F-BF.3; F-IF.7d; CA CCSSM F-BF.3; F-IF.7d; MA 2017 F-BF.3; F-IF.7d; NY NGLS F-BF.3; F-IF.7d; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
Rational Expressions and Rational Functions — Micro Skills
ALG2.133 Finding Least Common Denominators - Practice questions for Finding Least Common Denominators.
ALG2.134 Complex Fractions - Practice questions for Complex Fractions.
ALG2.135 Identifying Holes Versus Asymptotes - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7d. Skill statement in this prompt cell: Identify whether a discontinuity is removable (a hole) or a vertical asymptote by analyzing common factors and domain restrictions. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7d; CA CCSSM F-IF.7d; MA 2017 F-IF.7d; NY NGLS F-IF.7d; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.136 Determining Horizontal and Slant Asymptotes - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7d. Skill statement in this prompt cell: Select the correct use of degree comparisons and polynomial division to determine horizontal or slant asymptotes for rational functions. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7d; A-APR.6; CA CCSSM F-IF.7d; A-APR.6; MA 2017 F-IF.7d; A-APR.6; NY NGLS F-IF.7d; A-APR.6; TX TEKS Algebra II: §111.40.
ALG2.137 Matching Rational Functions to Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7d. Skill statement in this prompt cell: Match an equation to a graph using intercepts, asymptotes, and hole locations as evidence. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7d; CA CCSSM F-IF.7d; MA 2017 F-IF.7d; NY NGLS F-IF.7d; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.138 Solving Rational Equations from Context - Practice questions for Solving Rational Equations from Context.
ALG2.139 Interpreting Rational Inequality Intervals - Practice questions for Interpreting Rational Inequality Intervals.
ALG2.140 Using Technology to Verify Rational Graph Features - Primary standard selected for prompt fields in this prompt cell: CCSS MP.5. Skill statement in this prompt cell: Confirm asymptotes and discontinuities using tables and zoomed graph views, and connect observed behavior to algebraic structure. Associated standards listed with this skill in this prompt cell: CCSS MP.5; F-IF.7d; CA CCSSM MP.5; F-IF.7d; MA 2017 MP.5; F-IF.7d; NY NGLS MP.5; F-IF.7d; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
Radical Functions and Rational Exponent Equations
ALG2.141 Simplifying Radical Expressions with Variables - Practice questions for Simplifying Radical Expressions with Variables.
ALG2.142 Solving Radical Equations - Practice questions for Solving Radical Equations.
ALG2.143 Rational Exponent Equations - Practice questions for Rational Exponent Equations.
ALG2.144 Graphing Radical Functions - CCSS F-IF.7. Skill statement: Select the graph that matches square root, cube root, and other radical functions; identify domain and range; and describe transformations. Associated standards: CCSS F-IF.7; F-BF.3; CA CCSSM F-IF.7; F-BF.3; MA 2017 F-IF.7; F-BF.3; NY NGLS F-IF.7; F-BF.3; TX TEKS Algebra II: §111.40.
ALG2.145 Modeling with Radical Functions - Practice questions for Modeling with Radical Functions.
ALG2.146 Rationalizing and Simplifying for Solutions - Practice questions for Rationalizing and Simplifying for Solutions.
Radical Functions and Rational Exponent Equations — Micro Skills
ALG2.147 Converting Between Radical and Rational Exponent Forms - Practice questions for Converting Between Radical and Rational Exponent Forms.
ALG2.148 Domain Restrictions for Even Roots - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.2. Skill statement in this prompt cell: Identify when radicands must be nonnegative and select the statement that explains how restrictions affect solutions and graphs. Associated standards listed with this skill in this prompt cell: CCSS F-IF.2; N-RN.2; CA CCSSM F-IF.2; N-RN.2; MA 2017 F-IF.2; N-RN.2; NY NGLS F-IF.2; N-RN.2; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.149 Checking Extraneous Solutions Systematically - Practice questions for Checking Extraneous Solutions Systematically.
ALG2.150 Using Tables to Approximate Radical Solutions - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.11. Skill statement in this prompt cell: Select the correct use of tables or technology to approximate solutions to radical equations and confirm the approximation's accuracy. Associated standards listed with this skill in this prompt cell: CCSS A-REI.11; MP.5; CA CCSSM A-REI.11; MP.5; MA 2017 A-REI.11; MP.5; NY NGLS A-REI.11; MP.5; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.151 Comparing Radical and Polynomial Growth - Practice questions for Comparing Radical and Polynomial Growth.
ALG2.152 Interpreting Square Root Relationships in Geometry - Practice questions for Interpreting Square Root Relationships in Geometry.
Exponential Functions and Models
ALG2.153 Exponential Function Definitions and Features - Practice questions for Exponential Function Definitions and Features.
ALG2.154 Graphing Exponential Functions - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7e. Skill statement in this prompt cell: Select the graph that matches exponential functions and describe end behavior, intercepts, and asymptotes, including transformations from a parent graph. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7e; F-BF.3; CA CCSSM F-IF.7e; F-BF.3; MA 2017 F-IF.7e; F-BF.3; NY NGLS F-IF.7e; F-BF.3; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.155 Writing Exponential Functions from Data - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.2. Skill statement in this prompt cell: Select the equation, inequality, expression, or function that represents exponential equations from tables, graphs, or points and select the correct interpretation of the parameters in context. Associated standards listed with this skill in this prompt cell: CCSS F-LE.2; CA CCSSM F-LE.2; MA 2017 F-LE.2; NY NGLS F-LE.2; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.156 Exponential Growth and Decay Modeling - Practice questions for Exponential Growth and Decay Modeling.
ALG2.157 Compound Interest and Continuous Growth - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.1c. Skill statement in this prompt cell: Select the correct application of compound interest and continuous compounding formulas and select the correct comparison to scenarios using tables, graphs, and calculations. Associated standards listed with this skill in this prompt cell: CCSS F-LE.1c; ★ Modeling; CA CCSSM F-LE.1c; ★ Modeling; MA 2017 F-LE.1c; ★ Modeling; NY NGLS F-LE.1c; ★ Modeling; TX TEKS Algebra II: §111.40; FL B.E.S.T. MA.912.FL.3.2. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.158 Solving Exponential Equations - Practice questions for Solving Exponential Equations.
ALG2.159 Comparing Linear, Exponential, and Power Models - Practice questions for Comparing Linear, Exponential, and Power Models.
Exponential Functions and Models — Micro Skills
ALG2.160 Identifying Constant Percent Change - Practice questions for Identifying Constant Percent Change.
ALG2.161 Using Transformations with Exponential Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.3. Skill statement in this prompt cell: Select the correct application of shifts, reflections, and scaling to exponential graphs and write the corresponding transformed equations. Associated standards listed with this skill in this prompt cell: CCSS F-BF.3; F-IF.7e; CA CCSSM F-BF.3; F-IF.7e; MA 2017 F-BF.3; F-IF.7e; NY NGLS F-BF.3; F-IF.7e; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.162 Interpreting Exponential Parameters - Practice questions for Interpreting Exponential Parameters.
ALG2.163 Solving for Rate or Initial Value - Practice questions for Solving for Rate or Initial Value.
ALG2.164 Exponential Regression and Residuals - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6a. Skill statement in this prompt cell: Select the correct use of technology to fit an exponential select a model to and select the correct interpretation of residuals to judge select a model to fit and appropriateness. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6a,c; S-ID.8; MP.5; CA CCSSM S-ID.6a,c; S-ID.8; MP.5; MA 2017 S-ID.6a,c; S-ID.8; MP.5; NY NGLS S-ID.6a,c; S-ID.8; MP.5; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.165 Assessing Model Reasonableness and Constraints - Practice questions for Assessing Model Reasonableness and Constraints.
Logarithmic Functions and Equations
ALG2.166 Logarithms as Inverses of Exponentials - Practice questions for Logarithms as Inverses of Exponentials.
ALG2.167 Evaluating Logarithms - Practice questions for Evaluating Logarithms.
ALG2.168 Properties of Logarithms - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.4. Skill statement in this prompt cell: Select the correct application of product, quotient, and power properties to expand or condense logarithms and simplify expressions. Associated standards listed with this skill in this prompt cell: CCSS F-LE.4; CA CCSSM F-LE.4; MA 2017 F-LE.4; NY NGLS F-LE.4; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.169 Change of Base and Calculator Use - Practice questions for Change of Base and Calculator Use.
ALG2.170 Graphing Logarithmic Functions - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7e. Skill statement in this prompt cell: Select the graph that matches logarithmic functions, identify domain and range, locate vertical asymptotes, and describe transformations from parent graphs. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7e; F-BF.3; CA CCSSM F-IF.7e; F-BF.3; MA 2017 F-IF.7e; F-BF.3; NY NGLS F-IF.7e; F-BF.3; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.171 Solving Logarithmic Equations and Inequalities - Practice questions for Solving Logarithmic Equations and Inequalities.
ALG2.172 Exponential and Logarithmic Modeling - Practice questions for Exponential and Logarithmic Modeling.
Logarithmic Functions and Equations — Micro Skills
ALG2.173 Identifying Valid Log Inputs - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.4. Skill statement in this prompt cell: Identify when log arguments must be positive and apply this restriction when graphing or solving. Associated standards listed with this skill in this prompt cell: CCSS F-LE.4; F-IF.2; CA CCSSM F-LE.4; F-IF.2; MA 2017 F-LE.4; F-IF.2; NY NGLS F-LE.4; F-IF.2; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.174 Recognizing Common Log and Natural Log - Practice questions for Recognizing Common Log and Natural Log.
ALG2.175 Condensing and Expanding Logs Strategically - Practice questions for Condensing and Expanding Logs Strategically.
ALG2.176 Solving Exponential Equations with Logarithms - Practice questions for Solving Exponential Equations with Logarithms.
ALG2.177 Interpreting Log Models in Context - Practice questions for Interpreting Log Models in Context.
ALG2.178 Regression with Log-Linear and Log-Log Models - Practice questions for Regression with Log-Linear and Log-Log Models.
ALG2.179 Comparing Exponential and Logarithmic Growth - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.3. Skill statement in this prompt cell: Select the correct comparison between how exponential and logarithmic functions change over time and describe long-term behavior using graphs and reasoning. Associated standards listed with this skill in this prompt cell: CCSS F-LE.3; F-IF.7e; CA CCSSM F-LE.3; F-IF.7e; MA 2017 F-LE.3; F-IF.7e; NY NGLS F-LE.3; F-IF.7e; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
Sequences and Series
ALG2.180 Arithmetic Sequences - Practice questions for Arithmetic Sequences.
ALG2.181 Geometric Sequences - Practice questions for Geometric Sequences.
ALG2.182 Sequences as Functions - Practice questions for Sequences as Functions.
ALG2.183 Arithmetic Series - Practice questions for Arithmetic Series.
ALG2.184 Finite Geometric Series - Practice questions for Finite Geometric Series.
ALG2.185 Sigma Notation and Summation - Practice questions for Sigma Notation and Summation.
Sequences and Series — Micro Skills
ALG2.186 Evaluating Terms from Formulas - Practice questions for Evaluating Terms from Formulas.
ALG2.187 Writing Formulas from Patterns - Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.2. Skill statement in this prompt cell: Identify whether a sequence is arithmetic or geometric from terms, tables, or graphs and write an appropriate formula. Associated standards listed with this skill in this prompt cell: CCSS F-BF.2; CA CCSSM F-BF.2; MA 2017 F-BF.2; NY NGLS F-BF.2; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.188 Converting Explicit and Recursive Forms - Practice questions for Converting Explicit and Recursive Forms.
ALG2.189 Comparing Sequence Growth Patterns - Practice questions for Comparing Sequence Growth Patterns.
ALG2.191 Modeling with Series - Practice questions for Modeling with Series.
Trigonometry and Periodic Functions
ALG2.192 Angle Measure in Degrees and Radians - Primary standard selected for prompt fields in this prompt cell: CCSS F-TF.1–2. Skill statement in this prompt cell: Select the correct conversion for between degrees and radians and select the correct interpretation of radian measure as arc length on the unit circle. Associated standards listed with this skill in this prompt cell: CCSS F-TF.1–2; CA CCSSM F-TF.1–2; MA 2017 F-TF.1–2; NY NGLS F-TF.1–2; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.193 Unit Circle Trigonometry - Primary standard selected for prompt fields in this prompt cell: CCSS F-TF.2. Skill statement in this prompt cell: Select the correct use of the unit circle to find exact values of sine, cosine, and tangent for special angles and extend trig functions to all real numbers. Associated standards listed with this skill in this prompt cell: CCSS F-TF.2; CA CCSSM F-TF.2; MA 2017 F-TF.2; NY NGLS F-TF.2; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.194 Right Triangle Trigonometry - Practice questions for Right Triangle Trigonometry.
ALG2.195 Graphing Sine and Cosine Functions - Primary standard selected for prompt fields in this prompt cell: CCSS F-TF.5. Skill statement in this prompt cell: Select the graph that matches and analyze sine and cosine functions including amplitude, period, phase shift, and midline, and connect to transformations. Associated standards listed with this skill in this prompt cell: CCSS F-TF.5; F-BF.3; CA CCSSM F-TF.5; F-BF.3; MA 2017 F-TF.5; F-BF.3; NY NGLS F-TF.5; F-BF.3; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.196 Graphing Tangent and Other Trig Functions - No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: Select the graph that matches tangent and reciprocal trig functions and identify asymptotes and period; connect features to unit circle values. Additional source note attached to this skill in the prompt cell: Course extension; commonly included in Algebra 2 scopes such as IXL Algebra 2. Use this curriculum wording and the source skill identifier ALG2.196 as the best available supporting standard description for this prompt-prep workflow.
ALG2.197 Modeling Periodic Phenomena - Primary standard selected for prompt fields in this prompt cell: CCSS F-TF.5. Skill statement in this prompt cell: Select the best-fitting a sinusoidal select a model to to data (tables or graphs) and select the correct interpretation of parameters such as amplitude, period, and phase in context. Associated standards listed with this skill in this prompt cell: CCSS F-TF.5; ★ Modeling; CA CCSSM F-TF.5; ★ Modeling; MA 2017 F-TF.5; ★ Modeling; NY NGLS F-TF.5; ★ Modeling; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.198 Trigonometric Identities - Practice questions for Trigonometric Identities.
ALG2.199 Solving Trigonometric Equations - Primary standard selected for prompt fields in this prompt cell: CCSS F-TF.7–8. Skill statement in this prompt cell: Select the correct solution(s) to simple trigonometric equations on a specified interval using unit circle reasoning, inverse trig, and identities when helpful. Associated standards listed with this skill in this prompt cell: CCSS F-TF.7–8; CA CCSSM F-TF.7–8; MA 2017 F-TF.7–8; NY NGLS F-TF.7–8; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
Trigonometry and Periodic Functions — Micro Skills
ALG2.200 Reference Angles and Coterminal Angles - Practice questions for Reference Angles and Coterminal Angles.
ALG2.201 Calculator Trigonometry Settings - Practice questions for Calculator Trigonometry Settings.
ALG2.202 Choosing a Trig Ratio to Solve a Triangle - Practice questions for Choosing a Trig Ratio to Solve a Triangle.
ALG2.203 Writing Trig Functions from Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS F-TF.5. Skill statement in this prompt cell: Select the equation, inequality, expression, or function that represents an equation for a sine or cosine graph using amplitude, period, midline, and phase shift as evidence. Associated standards listed with this skill in this prompt cell: CCSS F-TF.5; F-BF.3; CA CCSSM F-TF.5; F-BF.3; MA 2017 F-TF.5; F-BF.3; NY NGLS F-TF.5; F-BF.3; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.204 Identifying Periodic Features from Tables - CCSS F-TF.5. Skill statement: Identify amplitude, period, and midline from a table of periodic data and select the correct comparison with a graph-based interpretation. Associated standards: CCSS F-TF.5; MP.2; CA CCSSM F-TF.5; MP.2; MA 2017 F-TF.5; MP.2; NY NGLS F-TF.5; MP.2; TX TEKS Algebra II: §111.40.
ALG2.205 Verifying Identities with Algebraic Steps - Practice questions for Verifying Identities with Algebraic Steps.
ALG2.206 Solving Trig Equations with Identity Substitution - Practice questions for Solving Trig Equations with Identity Substitution.
ALG2.207 Interpreting Sinusoidal Residual Patterns - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Select the correct use of residual plots or observed differences to decide whether a sinusoidal select a model to is appropriate and how it could be improved. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; ★ Modeling; CA CCSSM S-ID.6; ★ Modeling; MA 2017 S-ID.6; ★ Modeling; NY NGLS S-ID.6; ★ Modeling; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
Statistics, Probability, and Data Modeling
ALG2.208 Summarizing Single-Variable Data - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.1–3. Skill statement in this prompt cell: Select the equation, function, or select a model to that represents and select the correct interpretation of dot plots, histograms, and box plots; describe center, spread, and shape with attention to units. Associated standards listed with this skill in this prompt cell: CCSS S-ID.1–3; CA CCSSM S-ID.1–3; MA 2017 S-ID.1–3; NY NGLS S-ID.1–3; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.209 Standard Deviation and Variance - Practice questions for Standard Deviation and Variance.
ALG2.210 Outliers and Effects on Statistics - Practice questions for Outliers and Effects on Statistics.
ALG2.211 Normal Distribution and z-Scores - Practice questions for Normal Distribution and z-Scores.
ALG2.212 Scatter Plots, Correlation, and Causation - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.5. Skill statement in this prompt cell: Select the correct interpretation of scatter plots, describe direction and strength of association, and distinguish correlation from causation. Associated standards listed with this skill in this prompt cell: CCSS S-ID.5; CA CCSSM S-ID.5; MA 2017 S-ID.5; NY NGLS S-ID.5; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.213 Linear Regression and Residuals - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6a. Skill statement in this prompt cell: Select the best-fitting a linear select a model to, select the correct interpretation of slope and intercept, and analyze residuals to evaluate select a model to fit and appropriateness. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6a,b; S-ID.7–8; CA CCSSM S-ID.6a,b; S-ID.7–8; MA 2017 S-ID.6a,b; S-ID.7–8; NY NGLS S-ID.6a,b; S-ID.7–8; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.214 Exponential Regression and Nonlinear Fits - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6a. Skill statement in this prompt cell: Select the best-fitting exponential models to data and select the correct comparison to to linear fits using residuals and context-based reasoning. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6a,c; S-ID.8; CA CCSSM S-ID.6a,c; S-ID.8; MA 2017 S-ID.6a,c; S-ID.8; NY NGLS S-ID.6a,c; S-ID.8; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.215 Conditional Probability and Independence - Primary standard selected for prompt fields in this prompt cell: CCSS S-CP.1–5. Skill statement in this prompt cell: Select the correct computed value for conditional probabilities, select the correct interpretation of independence, and use two-way tables to analyze association. Associated standards listed with this skill in this prompt cell: CCSS S-CP.1–5; CA CCSSM S-CP.1–5; MA 2017 S-CP.1–5; NY NGLS S-CP.1–5; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.216 Probability Rules - Practice questions for Probability Rules.
ALG2.217 Probability Distributions and Expected Value - Primary standard selected for prompt fields in this prompt cell: CCSS S-MD.1–3. Skill statement in this prompt cell: Select the equation, function, or model that represents discrete probability distributions, compute expected value and variance, and evaluate games of chance or decisions. Associated standards listed with this skill in this prompt cell: CCSS S-MD.1–3; CA CCSSM S-MD.1–3; MA 2017 S-MD.1–3; NY NGLS S-MD.1–3; TX TEKS Algebra II: §111.40.
Statistics, Probability, and Data Modeling — Micro Skills
ALG2.218 Selecting Appropriate Data Displays - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.1. Skill statement in this prompt cell: Select an appropriate display (dot plot, histogram, box plot, scatter plot) based on variable type and the question being asked. Associated standards listed with this skill in this prompt cell: CCSS S-ID.1; CA CCSSM S-ID.1; MA 2017 S-ID.1; NY NGLS S-ID.1; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.219 Interpreting Center and Spread in Context - Practice questions for Interpreting Center and Spread in Context.
ALG2.220 Using Technology for Statistical Calculations - Practice questions for Using Technology for Statistical Calculations.
ALG2.221 Interpreting Correlation Coefficients - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.8. Skill statement in this prompt cell: Match correlation coefficients to scatter plot patterns and select the statement that explains what the sign and magnitude of r imply. Associated standards listed with this skill in this prompt cell: CCSS S-ID.8; CA CCSSM S-ID.8; MA 2017 S-ID.8; NY NGLS S-ID.8; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.222 Recognizing Nonlinear Patterns in Residuals - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.8. Skill statement in this prompt cell: Identify when residual patterns suggest a nonlinear model is more appropriate than a linear model. Associated standards listed with this skill in this prompt cell: CCSS S-ID.8; CA CCSSM S-ID.8; MA 2017 S-ID.8; NY NGLS S-ID.8; TX TEKS Algebra II: §111.40.
ALG2.223 Building and Reading Two-Way Tables - Primary standard selected for prompt fields in this prompt cell: CCSS S-CP.4. Skill statement in this prompt cell: select the option that constructs two-way tables from data and compute marginal, joint, and conditional distributions. Associated standards listed with this skill in this prompt cell: CCSS S-CP.4; CA CCSSM S-CP.4; MA 2017 S-CP.4; NY NGLS S-CP.4; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.
ALG2.224 Using Simulations to Estimate Probability - Practice questions for Using Simulations to Estimate Probability.
ALG2.225 Designing Experiments and Identifying Confounding - Practice questions for Designing Experiments and Identifying Confounding.
ALG2.226 Confidence Intervals - Practice questions for Confidence Intervals.
ALG2.227 Using Statistical Models for Decision Making - Practice questions for Using Statistical Models for Decision Making.
Matrices, Conic Sections, and Course Extensions
ALG2.228 Matrix Vocabulary and Structure (Extension) - Identify dimensions, entries, row and column vectors, and when matrix operations are defined. (Course extension; included in many Algebra 2 scopes such as IXL Algebra 2.)
ALG2.229 Matrix Addition, Scalar Multiplication, and Multiplication (Extension) - Perform matrix operations and select the correct interpretation of meaning in context when matrices represent transformations or systems. (Course extension; included in many Algebra 2 scopes such as IXL Algebra 2.)
ALG2.230 Solving Systems Using Augmented Matrices (Extension) - Select the correct use of row operations on an augmented matrix to solve a linear system and select the correct interpretation of solution types. (Course extension; connected to CCSS A-REI.6–7)
ALG2.231 Determinants and Invertibility (Extension) - Select the correct computed value for determinants (2×2) and determine whether a matrix is invertible; connect invertibility to unique solutions. (Course extension; included in many Algebra 2 scopes such as IXL Algebra 2.)
ALG2.232 Inverse Matrices (Extension) - Find and verify 2×2 inverses and use them to solve matrix equations or systems. (Course extension; included in many Algebra 2 scopes such as IXL Algebra 2.)
ALG2.233 Transformation Matrices (Extension) - Select the correct use of 2×2 matrices to represent transformations in the plane and apply them to points to create an image. (Course extension; often taught alongside transformations.)
ALG2.234 Conic Sections: Parabolas and Circles (State Extension) - Select the equation, inequality, expression, or function that represents and graph equations of parabolas and circles, identify vertex or center, focus or radius, and convert between general and standard forms by completing the square. (State extension; uses CCSS A-SSE.3b techniques.)
ALG2.235 Conic Sections: Ellipses and Hyperbolas (State Extension) - Select the equation, inequality, expression, or function that represents and graph ellipses and hyperbolas, identify key features (vertices, foci, asymptotes), and convert between forms. (State extension; commonly included in Algebra 2 scopes such as IXL Algebra 2.)
Matrices, Conic Sections, and Course Extensions — Micro Skills
ALG2.236 Performing Row Operations Systematically (Extension) - Select the correct use of elementary row operations to reach row-echelon form while avoiding arithmetic and sign errors. (Course extension)
ALG2.237 Interpreting Matrix Products as Compositions (Extension) - Select the correct interpretation of AB as applying one linear transformation after another and connect multiplication order to transformation order. (Course extension)
ALG2.238 Using Matrices for Real Contexts (Extension) - Select the correct use of matrices to represent input-output processes or transitions (such as production or movement between states) and select the correct interpretation of results. (Course extension)
ALG2.239 Converting Conic Equations Between Forms - Complete the square to convert conic equations from general form to standard form and identify the conic type. (State extension; uses CCSS A-SSE.3b techniques.)
ALG2.240 Intersections of Conics and Lines - Select the correct solution(s) to systems involving a line and a circle or parabola and select the correct interpretation of the number and meaning of intersection points. (CCSS A-REI.7; A-REI.11; CA CCSSM A-REI.7; A-REI.11; MA 2017 A-REI.7; A-REI.11; NY NGLS A-REI.7; A-REI.11; TX TEKS Algebra II: §111.40)
ALG2.241 Choosing a Method for Nonlinear Systems - Decide when to substitute, eliminate, graph, or use technology to solve nonlinear systems and select the reasoning that justifies the choice. (CCSS MP.5; A-REI.7; CA CCSSM MP.5; A-REI.7; MA 2017 MP.5; A-REI.7; NY NGLS MP.5; A-REI.7; TX TEKS Algebra II: §111.40)
ALG2.242 Reading Diagrams and Graphs for Key Information - Select the correct interpretation of multi-representation items (graphs, diagrams, tables) and identify common distractors such as scale and domain traps. (CCSS MP.6; F-IF.4; CA CCSSM MP.6; F-IF.4; MA 2017 MP.6; F-IF.4; NY NGLS MP.6; F-IF.4; TX TEKS Algebra II: §111.40)
ALG2.243 Capstone Modeling Task - Complete a multi-step modeling task that includes data, function selection, parameter estimation, validation, and clear written conclusions. (CCSS ★ Modeling; MP.1–6; S-ID.6; CA CCSSM ★ Modeling; MP.1–6; S-ID.6; MA 2017 ★ Modeling; MP.1–6; S-ID.6; NY NGLS ★ Modeling; MP.1–6; S-ID.6; TX TEKS Algebra II: §111.40)