ALG1.11 Units and Precision in Problem Solving - Focus on Units and Precision in Problem Solving in Algebra 1.

ALG1.12 Quantities, Scales, and Constraints - Primary standard selected for prompt fields in this prompt cell: CCSS N-Q.1–3. Skill statement in this prompt cell: Choose appropriate units and scales for formulas, graphs, and data displays; Select the statement that correctly interprets constraints and domain limitations that come from a situation. Associated standards listed with this skill in this prompt cell: CCSS: N-Q.1–3; TEKS: §111.39(b),(c)(1) Process Standards; VA SOL (2023): A.EO.1a; FL B.E.S.T.: MA.912.F.1.3, MA.912.AR.2.* (modeling contexts); NY-NGLS: AI-N.Q.1, AI-N.Q.3; CA CCSSM: N-Q; MA 2017: HS.N-Q (Model Algebra I); DoDEA CCRSM (Algebra I); NAEP: Algebra—using symbols/expressions; NCTM P2A: Practices 1, 2, 6. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.13 Unit Conversions and Rate Problems - Focus on Unit Conversions and Rate Problems in Algebra 1.

ALG1.14 Translate Between Words and Expressions - Focus on Translate Between Words and Expressions in Algebra 1.

ALG1.15 Parts and Structure of Expressions - Focus on Parts and Structure of Expressions in Algebra 1.

ALG1.16 Evaluate Expressions Including Absolute Value and Radicals - Focus on Evaluate Expressions Including Absolute Value and Radicals in Algebra 1.

ALG1.17 Properties of Operations and Equivalent Expressions - Focus on Properties of Operations and Equivalent Expressions in Algebra 1.

ALG1.18 Simplify Linear Expressions - Focus on Simplify Linear Expressions in Algebra 1.

ALG1.19 Expand Expressions and Special Products - Focus on Expand Expressions and Special Products in Algebra 1.

ALG1.20 Factor Expressions to Reveal Structure - Focus on Factor Expressions to Reveal Structure in Algebra 1.

ALG1.21 Radicals and Rational Exponents Foundations - Focus on Radicals and Rational Exponents Foundations in Algebra 1.

ALG1.22 Dimensional Analysis and Unit Consistency - Focus on Dimensional Analysis and Unit Consistency in Algebra 1.

ALG1.23 Scientific Notation and Orders of Magnitude - Focus on Scientific Notation and Orders of Magnitude in Algebra 1.

ALG1.24 Precision, Significant Digits, and Error - Focus on Precision, Significant Digits, and Error in Algebra 1.

ALG1.25 Geometry Measurement with Variables - Focus on Geometry Measurement with Variables in Algebra 1.

ALG1.26 Choose Efficient Rewrites by Structure - Focus on Choose Efficient Rewrites by Structure in Algebra 1.

ALG1.27 Visual Models for Expressions - Primary standard selected for prompt fields in this prompt cell: CCSS A-APR.1. Skill statement in this prompt cell: Select the representation that shows expressions, products, and factors using area models or algebra tiles; Match the visual model to symbolic expansion and factoring. Associated standards listed with this skill in this prompt cell: CCSS: A-APR.1, A-SSE.3a, A-APR.3; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4, 1.7; NY-NGLS: AI-A.APR.1, AI-A.APR.3; CA CCSSM: A-APR.1,3; MA 2017: HS.A-APR.1,3; DoDEA CCRSM; NAEP: Algebra—polynomial operations; NCTM P2A: Practices 6, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.28 Radicals with Variables and Fractions - Focus on Radicals with Variables and Fractions in Algebra 1.

ALG1.29 Multi-Step Linear Equations in One Variable - Focus on Multi-Step Linear Equations in One Variable in Algebra 1.

ALG1.30 Equations with Variables on Both Sides - Focus on Equations with Variables on Both Sides in Algebra 1.

ALG1.31 Equations with Fractions and Rational Coefficients - Focus on Equations with Fractions and Rational Coefficients in Algebra 1.

ALG1.32 Rearrange Formulas to Isolate a Variable - Focus on Rearrange Formulas to Isolate a Variable in Algebra 1.

ALG1.33 Create Linear Equations and Inequalities from Context - Focus on Create Linear Equations and Inequalities from Context in Algebra 1.

ALG1.34 One-Variable Linear Inequalities - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.3. Skill statement in this prompt cell: Select the correct solution to linear inequalities in one variable; Select the graph that represents solution sets on number lines and interpret them in context. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.3; A-CED.1,3; TEKS: §111.39(c)(2)(A–G) and (3)(B–E); VA SOL: A.EI.1 c; FL B.E.S.T.: MA.912.AR.2.6; NY-NGLS: AI-A.CED.1, AI-A.REI.1–3; CA CCSSM: A-REI.3; MA 2017: HS.A-REI.3; DoDEA CCRSM; NAEP: Algebra—inequalities; NCTM P2A: Practices 2, 5.. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.35 Compound Inequalities and Interval Solutions - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.3. Skill statement in this prompt cell: Select the correct solution to compound inequalities involving and and or; Select the representation that shows solution sets using interval notation and number lines. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.3; A-CED.1,3; TEKS: §111.39(c)(2)(A–G) and (3)(B–E); VA SOL: A.EI.1 c; FL B.E.S.T.: MA.912.AR.2.6; NY-NGLS: AI-A.CED.1, AI-A.REI.1–3; CA CCSSM: A-REI.3; MA 2017: HS.A-REI.3; DoDEA CCRSM; NAEP: Algebra—inequalities; NCTM P2A: Practices 2, 5.. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.36 Check and Interpret Solutions in Context - Focus on Check and Interpret Solutions in Context in Algebra 1.

ALG1.37 Equivalent Equations and Properties of Equality - Focus on Equivalent Equations and Properties of Equality in Algebra 1.

ALG1.38 Check Whether a Value Satisfies an Equation or Inequality - Focus on Check Whether a Value Satisfies an Equation or Inequality in Algebra 1.

ALG1.39 Set-Builder and Interval Notation for Solution Sets - Focus on Set-Builder and Interval Notation for Solution Sets in Algebra 1.

ALG1.40 Inequality Reasoning on Number Lines - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.3. Skill statement in this prompt cell: Select the graph that represents inequalities accurately using open and closed endpoints; Choose the comparison that correctly describes solution sets by reading and interpreting number lines. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.3; A-CED.1,3; TEKS: §111.39(c)(2)(A–G) and (3)(B–E); VA SOL: A.EI.1 c; FL B.E.S.T.: MA.912.AR.2.6; NY-NGLS: AI-A.CED.1, AI-A.REI.1–3; CA CCSSM: A-REI.3; MA 2017: HS.A-REI.3; DoDEA CCRSM; NAEP: Algebra—inequalities; NCTM P2A: Practices 2, 5. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.41 Common Linear Equation Word-Problem Types - Focus on Common Linear Equation Word-Problem Types in Algebra 1.

ALG1.42 Function Definition and Function Notation - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.1–2. Skill statement in this prompt cell: Select the definition that describes a function and distinguish functions from general relations; Select the option that shows how to use function notation to evaluate and interpret f(x) in context. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.1–2; TEKS: §111.39(c)(3)(C), (5) (key features/graphs); VA SOL: A.F.1 g–h; FL B.E.S.T.: MA.912.F.1.1–1.3; NY-NGLS: AI-F.IF.1–2; CA CCSSM: F-IF.1–2; MA 2017: HS.F-IF.1–2; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.43 Domain and Range from Multiple Representations - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.1–2. Skill statement in this prompt cell: Identify domain and range from tables, graphs, and situations; Select the statement that correctly interprets domain restrictions that arise from context or from operations in an expression. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.1–2; TEKS: §111.39(c)(3)(C), (5) (key features/graphs); VA SOL: A.F.1 g–h; FL B.E.S.T.: MA.912.F.1.1–1.3; NY-NGLS: AI-F.IF.1–2; CA CCSSM: F-IF.1–2; MA 2017: HS.F-IF.1–2; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.44 Rate of Change and Intercepts - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.4–6. Skill statement in this prompt cell: Select the statement that correctly interprets slope as a rate of change and intercepts as starting values in context; Choose the comparison that correctly describes linear relationships by comparing slopes and intercepts. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.4–6; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 a–d; FL B.E.S.T.: MA.912.AR.2.4–2.5, MA.912.F.1.3; NY-NGLS: AI-F.IF.4–6; CA CCSSM: F-IF.4–6; MA 2017: HS.F-IF.4–6; DoDEA CCRSM; NAEP: Algebra—functions and graphs; NCTM P2A: Practices 2, 3. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.45 Build Linear Functions from Points, Slope, or Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.1a. Skill statement in this prompt cell: Select the equation, inequality, expression, or function that represents a linear function given two points, a point and slope, or a graph; Select the representation that shows the same line in slope-intercept, point-slope, and standard forms. Associated standards listed with this skill in this prompt cell: CCSS: F-BF.1a; A-CED.2; F-IF.7a; TEKS: §111.39(c)(2)(E–G), (3)(C); VA SOL: A.F.1 c–f; FL B.E.S.T.: MA.912.AR.2.2–2.4; NY-NGLS: AI-F.IF.7a, AI-A.CED.2; CA CCSSM: F-BF.1a, F-IF.7a; MA 2017: HS.F-BF.1a; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 4, 6.. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.46 Graph Linear Functions and Identify Key Features - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7a. Skill statement in this prompt cell: Select the graph that represents linear functions and identify intercepts, zeros, and intervals of increase or decrease; Select the statement that correctly interprets the meaning of these features for a real situation. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7a; F-BF.3; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 b, f; FL B.E.S.T.: MA.912.AR.2.4; NY-NGLS: AI-F.IF.7a; CA CCSSM: F-IF.7a, F-BF.3; MA 2017: HS.F-IF.7a; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.47 Parallel and Perpendicular Lines - Focus on Parallel and Perpendicular Lines in Algebra 1.

ALG1.48 Linear Modeling and Prediction - Primary standard selected for prompt fields in this prompt cell: CCSS A-CED.1–3. Skill statement in this prompt cell: Select the option that shows how to model situations with linear functions using tables, graphs, and equations; Select the option that shows how to use the model to make and interpret predictions and to discuss limitations. Associated standards listed with this skill in this prompt cell: CCSS: A-CED.1–3; F-IF.4–6 (interpretation); TEKS: §111.39(c)(2)(E–J), (3)(C); VA SOL: A.EI.1 a, f; FL B.E.S.T.: MA.912.AR.2.2, 2.4–2.5, 2.7–2.8; NY-NGLS: AI-A.CED.1–3, AI-F.IF.4–6; CA CCSSM: A-CED, F-IF; MA 2017: HS.A-CED; DoDEA CCRSM; NAEP: Algebra—modeling; NCTM P2A: Practices 1, 4.. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.49 Linear Function Transformations - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7a. Skill statement in this prompt cell: Select the description that correctly explains effects of vertical and horizontal shifts and reflections on linear graphs; Match changes in an equation to changes in the graph. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7a; F-BF.3; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 b, f; FL B.E.S.T.: MA.912.AR.2.4; NY-NGLS: AI-F.IF.7a; CA CCSSM: F-IF.7a, F-BF.3; MA 2017: HS.F-IF.7a; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.50 Compute Slope from Graphs, Tables, and Points - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.4–6. Skill statement in this prompt cell: Select the correct value of slope from two points, a table, or a graph; Select the statement that correctly interprets slope units as output change per unit input change. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.4–6; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 a–d; FL B.E.S.T.: MA.912.AR.2.4–2.5, MA.912.F.1.3; NY-NGLS: AI-F.IF.4–6; CA CCSSM: F-IF.4–6; MA 2017: HS.F-IF.4–6; DoDEA CCRSM; NAEP: Algebra—functions and graphs; NCTM P2A: Practices 2, 3.

ALG1.51 Average Rate of Change over an Interval - CCSS F-IF.4-6. Identify average rate of change of a function over a specified interval; select the statement that correctly interprets what the average rate of change means in a context. Associated standards: TEKS §111.39(c)(3)(C); VA SOL A.F.1 a-d; FL B.E.S.T. MA.912.AR.2.4-2.5 and MA.912.F.1.3; NY-NGLS AI-F.IF.4-6; CA CCSSM F-IF.4-6; MA 2017 HS.F-IF.4-6; DoDEA CCRSM; NAEP Algebra-functions and graphs; NCTM P2A Practices 2 and 3.

ALG1.52 Direct and Inverse Variation - Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.1a. Skill statement in this prompt cell: Identify direct variation and inverse variation from tables, graphs, and equations; Select the equation, inequality, expression, or function that represents variation equations and use them to solve contextual problems. Associated standards listed with this skill in this prompt cell: CCSS: F-BF.1a; A-CED.2; F-IF.7a; TEKS: §111.39(c)(2)(E–G), (3)(C); VA SOL: A.F.1 c–f; FL B.E.S.T.: MA.912.AR.2.2–2.4; NY-NGLS: AI-F.IF.7a, AI-A.CED.2; CA CCSSM: F-BF.1a, F-IF.7a; MA 2017: HS.F-BF.1a; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 4, 6. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.53 Function Operations with Linear Functions - No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: Select the correct sum for and subtract simple functions and interpret the result in context; Select the correct product for a function by a constant and describe the effect on outputs and graphs. No attached standards were listed with this skill in the prompt cell. Use this curriculum wording and the source skill identifier ALG1.53 as the best available supporting standard description for this prompt-prep workflow.

ALG1.54 Inverse of a Linear Function (Optional) - Focus on Inverse of a Linear Function in Algebra 1.

ALG1.55 Choose and Interpret a Linear Representation - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.1–2. Skill statement in this prompt cell: Choose the best representation (table, graph, equation) for a given purpose; Select the statement that correctly interprets statements about a function’s behavior using everyday language. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.1–2; TEKS: §111.39(c)(3)(C), (5) (key features/graphs); VA SOL: A.F.1 g–h; FL B.E.S.T.: MA.912.F.1.1–1.3; NY-NGLS: AI-F.IF.1–2; CA CCSSM: F-IF.1–2; MA 2017: HS.F-IF.1–2; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.56 Systems of Linear Equations by Graphing - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.5–6. Skill statement in this prompt cell: Select the graph that represents two linear equations and interpret the intersection as the solution; Select the classification for systems as one solution, no solution, or infinitely many solutions. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.5–6, 11; A-CED.3; TEKS: §111.39(c)(3)(C), (4)(C); VA SOL: A.EI.2 a–c, h; FL B.E.S.T.: MA.912.AR.9.1, 9.6; NY-NGLS: AI-A.REI.6, AI-A.REI.11; CA CCSSM: A-REI.6,11; MA 2017: HS.A-REI.6,11; DoDEA CCRSM; NAEP: Algebra—systems; NCTM P2A: Practices 1, 3. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.57 Systems by Substitution - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.5–6. Skill statement in this prompt cell: Select the correct solution to systems of two linear equations using substitution; Select the statement that correctly interprets the solution as an ordered pair that satisfies both equations. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.5–6, 11; A-CED.3; TEKS: §111.39(c)(3)(C), (4)(C); VA SOL: A.EI.2 a–c, h; FL B.E.S.T.: MA.912.AR.9.1, 9.6; NY-NGLS: AI-A.REI.6, AI-A.REI.11; CA CCSSM: A-REI.6,11; MA 2017: HS.A-REI.6,11; DoDEA CCRSM; NAEP: Algebra—systems; NCTM P2A: Practices 1, 3.. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.58 Systems by Elimination - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.5–6. Skill statement in this prompt cell: Select the correct solution to systems of two linear equations using elimination; Choose multipliers strategically to eliminate a variable efficiently. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.5–6, 11; A-CED.3; TEKS: §111.39(c)(3)(C), (4)(C); VA SOL: A.EI.2 a–c, h; FL B.E.S.T.: MA.912.AR.9.1, 9.6; NY-NGLS: AI-A.REI.6, AI-A.REI.11; CA CCSSM: A-REI.6,11; MA 2017: HS.A-REI.6,11; DoDEA CCRSM; NAEP: Algebra—systems; NCTM P2A: Practices 1, 3. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.59 Systems of Linear Inequalities in Two Variables - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.12. Skill statement in this prompt cell: Select the graph that represents linear inequalities as half-planes and find intersections for systems; Select the statement that correctly interprets feasible regions as sets of solutions to constraints. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.12; A-CED.3; TEKS: §111.39(c)(2)(J), (3)(B), (4)(B); VA SOL: A.EI.2 d-g; FL B.E.S.T.: MA.912.AR.2.7-2.8, MA.912.AR.9.4; NY-NGLS: AI-A.REI.12, AI-A.CED.3; CA CCSSM: A-REI.12; MA 2017: HS.A-REI.12; DoDEA CCRSM; NAEP: Algebra—inequalities; NCTM P2A: Practices 4, 5. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.60 Model Constraints with Systems - Focus on Model Constraints with Systems in Algebra 1.

ALG1.61 Classify Systems as Consistent or Inconsistent and Dependent or Independent - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.5–6. Skill statement in this prompt cell: Select the classification for systems based on their graphs or algebraic structure; Select the statement that correctly interprets what the classification means about the situation being modeled. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.5–6, 11; A-CED.3; TEKS: §111.39(c)(3)(C), (4)(C); VA SOL: A.EI.2 a–c, h; FL B.E.S.T.: MA.912.AR.9.1, 9.6; NY-NGLS: AI-A.REI.6, AI-A.REI.11; CA CCSSM: A-REI.6,11; MA 2017: HS.A-REI.6,11; DoDEA CCRSM; NAEP: Algebra—systems; NCTM P2A: Practices 1, 3.

ALG1.62 Choose an Efficient Method for a System - Primary standard selected for prompt fields in this prompt cell: CCSS A-REI.5–6. Skill statement in this prompt cell: Choose graphing, substitution, or elimination based on the structure of the system; Select the reasoning that justifies why the chosen method is efficient for the given system. Associated standards listed with this skill in this prompt cell: CCSS: A-REI.5–6, 11; A-CED.3; TEKS: §111.39(c)(3)(C), (4)(C); VA SOL: A.EI.2 a–c, h; FL B.E.S.T.: MA.912.AR.9.1, 9.6; NY-NGLS: AI-A.REI.6, AI-A.REI.11; CA CCSSM: A-REI.6,11; MA 2017: HS.A-REI.6,11; DoDEA CCRSM; NAEP: Algebra—systems; NCTM P2A: Practices 1, 3.. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.63 Interpret Intersections and Feasible Regions - Primary standard selected for prompt fields in this prompt cell: CCSS A-CED.3. Skill statement in this prompt cell: Select the statement that correctly interprets intersection points, lines of intersection, and boundary lines in context; Select the explanation that correctly explains how constraints shape the feasible region and optimal choices. Associated standards listed with this skill in this prompt cell: CCSS: A-CED.3; F-IF.4 (interpret); TEKS: §111.39(c)(2)(A–J), (3)(C); VA SOL: A.EI.2 a–h; FL B.E.S.T.: MA.912.AR.2.5, 9.6; NY-NGLS: AI-A.CED.3; CA CCSSM: A-CED.3; MA 2017: HS.A-CED.3; DoDEA CCRSM; NAEP: Algebra—modeling; NCTM P2A: Practices 1, 4.. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.64 Linear and Quadratic Systems (Optional) - Focus on Linear and Quadratic Systems in Algebra 1.

ALG1.65 Laws of Exponents for Simplifying Expressions - Focus on Laws of Exponents for Simplifying Expressions in Algebra 1.

ALG1.66 Recognize Exponential Growth and Decay - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.1a–c. Skill statement in this prompt cell: Identify exponential relationships from tables, graphs, and contexts by constant ratios; Identify the option that distinguishes growth from decay using the base or percent rate. Associated standards listed with this skill in this prompt cell: CCSS: F-LE.1a–c, 2–3, 5; F-IF.4–5; TEKS: §111.39(c)(9)(A–E); VA SOL: A.F.2 e–h; FL B.E.S.T.: MA.912.AR.5.3–5.6; NY-NGLS: AI-F.LE.1–3, AI-F.LE.5; CA CCSSM: F-LE.1–3,5; MA 2017: HS.F-LE.1–3,5; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 2, 4. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.67 Write Exponential Models from Context - Focus on Write Exponential Models from Context in Algebra 1.

ALG1.68 Compare Linear and Exponential Behavior - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.1b-c. Skill statement in this prompt cell: Choose the comparison that correctly describes linear and exponential relationships using differences and ratios in tables; Select the statement that correctly interprets why multiplicative change produces exponential behavior. Associated standards listed with this skill in this prompt cell: CCSS: F-LE.1b-c, 2; TEKS: §111.39(c)(9)(A-D); VA SOL: A.F.2 h; FL B.E.S.T.: MA.912.F.1.1 (function types), MA.912.AR.5.*; NY-NGLS: AI-F.LE.1-2; CA CCSSM: F-LE.1-2; MA 2017: HS.F-LE.1-2; DoDEA CCRSM; NAEP: Algebra-patterns/relations; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.69 Graph Exponential Functions and Describe Key Features - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7e (course model dependent). Skill statement in this prompt cell: Select the graph that represents exponential functions and identify intercepts and end behavior; Select the description that correctly explains effects of vertical shifts and stretches on the graph. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7e (course model dependent), F-IF.4-5; TEKS: §111.39(c)(9)(D-E); VA SOL: A.F.2 f; FL B.E.S.T.: MA.912.AR.5.6; NY-NGLS: AI-F.IF.7a (includes exponential form a(b)^x); CA CCSSM: F-IF.7 (includes exponential); MA 2017: HS.F-IF.7; DoDEA CCRSM; NAEP: Algebra--graphs; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.70 Interpret Exponential Parameters and Units - Focus on Interpret Exponential Parameters and Units in Algebra 1.

ALG1.71 Exponential Modeling with Financial Contexts - Focus on Exponential Modeling with Financial Contexts in Algebra 1.

ALG1.72 Match Exponential Representations - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7e (course model dependent). Skill statement in this prompt cell: Match equations, tables, and graphs that represent the same exponential relationship; Identify the base and initial value from each representation. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7e (course model dependent), F-IF.4–5; TEKS: §111.39(c)(9)(D–E); VA SOL: A.F.2 f; FL B.E.S.T.: MA.912.AR.5.6; NY-NGLS: AI-F.IF.7a (includes exponential form a(b)^x); CA CCSSM: F-IF.7 (includes exponential); MA 2017: HS.F-IF.7; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

ALG1.73 Technology for Exponential Models (Optional) - Focus on Technology for Exponential Models in Algebra 1.

ALG1.74 Polynomial Vocabulary and Structure - Identify polynomials, monomials, binomials, and trinomials and their degrees; Select the statement that correctly interprets coefficients and terms in context when a polynomial models a situation. (CCSS: A-SSE.1a–b; N-RN.1–2 (links to radicals/rational exponents); TEKS: §111.39(c)(10)(A–B) (polynomial forms), (1)(E) (representations); VA SOL: A.EO.1a–b; FL B.E.S.T.: MA.912.AR.1.1, MA.912.AR.1.3–1.4; NY-NGLS: AI-A.SSE.1a–b; CA CCSSM: A-SSE.1; MA 2017: HS.A-SSE.1; DoDEA CCRSM; NAEP: Algebra—expressions; NCTM P2A: Practices 2, 7.)

ALG1.75 Add and Subtract Polynomials - Select the correct sum for and subtract polynomials and simplify by combining like terms; Select the option that shows how to model simple perimeter or area expressions using polynomial sums and differences. (CCSS: A-APR.1; F-IF connections; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2 a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4; NY-NGLS: AI-A.APR.1; CA CCSSM: A-APR.1; MA 2017: HS.A-APR.1; DoDEA CCRSM; NAEP: Algebra—expressions; NCTM P2A: Practices 6, 7.)

ALG1.76 Multiply Polynomials - Select the correct product for polynomials using distribution and organize results in standard form; Identify special products such as squares of binomials and difference of squares. (CCSS: A-APR.1, A-SSE.3a, A-APR.3; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4, 1.7; NY-NGLS: AI-A.APR.1, AI-A.APR.3; CA CCSSM: A-APR.1,3; MA 2017: HS.A-APR.1,3; DoDEA CCRSM; NAEP: Algebra—polynomial operations; NCTM P2A: Practices 6, 7.)

ALG1.77 Factor Quadratic and Other Polynomials - Select the factored form of polynomials using greatest common factor, trinomials, and special cases; Select the option that shows how to use factoring to rewrite expressions and to prepare for solving equations. (CCSS: A-APR.1, A-SSE.3a, A-APR.3; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4, 1.7; NY-NGLS: AI-A.APR.1, AI-A.APR.3; CA CCSSM: A-APR.1,3; MA 2017: HS.A-APR.1,3; DoDEA CCRSM; NAEP: Algebra—polynomial operations; NCTM P2A: Practices 6, 7.)

ALG1.78 Factoring and Zeros of Functions - Select the option that shows how to use factoring to identify zeros and x-intercepts of a quadratic function; Select the statement that correctly interprets factors and zeros as solutions in context. (CCSS: A-APR.1, A-SSE.3a, A-APR.3; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4, 1.7; NY-NGLS: AI-A.APR.1, AI-A.APR.3; CA CCSSM: A-APR.1,3; MA 2017: HS.A-APR.1,3; DoDEA CCRSM; NAEP: Algebra—polynomial operations; NCTM P2A: Practices 6, 7.)

ALG1.79 Divide Polynomials by Monomials - Select the correct quotient for polynomials by monomials and simplify expressions; Identify domain restrictions when division introduces excluded values. (CCSS: A-APR.1 (coherence); TEKS: §111.39(c)(10)(C)–(D); VA SOL: A.EO.2 d; FL B.E.S.T.: MA.912.AR.1.4; NY-NGLS: AI-A.SSE.2 (rewriting) connections; CA CCSSM: A-APR connections; MA 2017: HS.A-APR.1 (course model dependent); DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 6, 7.)

ALG1.80 Visual Models for Polynomial Operations - Select the representation that shows polynomial products and factors using area models or algebra tiles; Match the model to symbolic multiplication and factoring steps. (CCSS: A-APR.1, A-SSE.3a, A-APR.3; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4, 1.7; NY-NGLS: AI-A.APR.1, AI-A.APR.3; CA CCSSM: A-APR.1,3; MA 2017: HS.A-APR.1,3; DoDEA CCRSM; NAEP: Algebra—polynomial operations; NCTM P2A: Practices 6, 7.)

ALG1.81 Rewrite Expressions to Reveal Features - Select the rewritten form of expressions to reveal structure such as common factors or difference of squares; Select the statement that correctly interprets how the rewritten form helps solve or analyze a problem. (CCSS: A-SSE.2, A-SSE.3a; A-APR.1; TEKS: §111.39(c)(10)(A–C), (10)(E) (difference of squares); VA SOL: A.EO.2b–e; FL B.E.S.T.: MA.912.AR.1.3, 1.4, 1.7; NY-NGLS: AI-A.SSE.2; CA CCSSM: A-SSE, A-APR; MA 2017: HS.A-SSE.2, HS.A-APR.1; DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 7, 8.)

ALG1.82 Error Analysis for Polynomial Operations - Identify common mistakes in distributing, combining like terms, and multiplying binomials; Choose a correction that produces an equivalent expression.

ALG1.83 Evaluate Polynomial Functions from Tables and Graphs - Select the correct value of a polynomial function at given inputs using tables or graphs; Select the statement that correctly interprets key features such as intercepts and overall shape from the representation. (CCSS: A-APR.1; F-IF connections; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2 a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4; NY-NGLS: AI-A.APR.1; CA CCSSM: A-APR.1; MA 2017: HS.A-APR.1; DoDEA CCRSM; NAEP: Algebra—expressions; NCTM P2A: Practices 6, 7.)

ALG1.84 Polynomial Long Division (Optional) - Select the option that shows how to use polynomial long division to divide by a linear binomial; Select the statement that correctly interprets the quotient and remainder in function contexts.

ALG1.85 Key Features of Quadratic Functions - Identify the vertex, axis of symmetry, intercepts, and opening direction of a parabola; Select the statement that correctly interprets how these features relate to maximum or minimum values in context. (CCSS: F-IF.7a, F-BF.3; TEKS: §111.39(c)(7)(A–C); VA SOL: A.F.2 b–d; FL B.E.S.T.: MA.912.AR.3.6–3.7; NY-NGLS: AI-F.IF.7a; CA CCSSM: F-IF.7a; MA 2017: HS.F-IF.7a; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7.)

ALG1.86 Equivalent Forms of Quadratic Expressions - Select the form that correctly converts between standard, factored, and vertex forms of a quadratic; Select the statement that correctly interprets what each form reveals about the graph and solutions. (CCSS: A-SSE.3a–b; F-IF.8a; TEKS: §111.39(c)(6)(A–B), (7)(A–C); VA SOL: A.EO.2 c, A.F.2 b–d; FL B.E.S.T.: MA.912.AR.3.4, 3.6–3.7; NY-NGLS: AI-F.IF.8a, AI-A.SSE.*; CA CCSSM: F-IF.8a; MA 2017: HS.F-IF.8a; DoDEA CCRSM; NAEP: Algebra—quadratic relations; NCTM P2A: Practices 7, 8.)

ALG1.87 Complete the Square and Vertex Form - Select the completed form of the square to rewrite a quadratic in vertex form; Select the option that shows how to use vertex form to identify the vertex and to graph efficiently. (CCSS: A-SSE.3a–b; F-IF.8a; TEKS: §111.39(c)(6)(A–B), (7)(A–C); VA SOL: A.EO.2 c, A.F.2 b–d; FL B.E.S.T.: MA.912.AR.3.4, 3.6–3.7; NY-NGLS: AI-F.IF.8a, AI-A.SSE.*; CA CCSSM: F-IF.8a; MA 2017: HS.F-IF.8a; DoDEA CCRSM; NAEP: Algebra—quadratic relations; NCTM P2A: Practices 7, 8.)

ALG1.88 Solve Quadratic Equations by Factoring - Select the correct solution to quadratic equations by factoring and applying the zero product property; Select the check that verifies solutions and interpret them as zeros or x-intercepts when appropriate. (CCSS: A-REI.4a–b; TEKS: §111.39(c)(6)(A–C); VA SOL: A.EI.3 a–c; FL B.E.S.T.: MA.912.AR.3.1, 3.8; NY-NGLS: AI-A.REI.4a–b; CA CCSSM: A-REI.4; MA 2017: HS.A-REI.4; DoDEA CCRSM; NAEP: Algebra—equations; NCTM P2A: Practices 1, 6.)

ALG1.89 Solve Quadratic Equations by Square Roots and Quadratic Formula - Select the correct solution to quadratic equations by taking square roots or using the quadratic formula; Select the statement that correctly interprets the solutions and connect them to the graph of the quadratic. (CCSS: A-REI.4a–b; TEKS: §111.39(c)(6)(A–C); VA SOL: A.EI.3 a–c; FL B.E.S.T.: MA.912.AR.3.1, 3.8; NY-NGLS: AI-A.REI.4a–b; CA CCSSM: A-REI.4; MA 2017: HS.A-REI.4; DoDEA CCRSM; NAEP: Algebra—equations; NCTM P2A: Practices 1, 6.)

ALG1.90 Build Quadratic Models from Points or Zeros - Select the equation, inequality, expression, or function that represents a quadratic function given a vertex and a point or given real zeros and a point; Select the option that shows how to use the model to solve problems and to check the fit with a graph. (CCSS: A-APR.3; F-BF.1a; TEKS: §111.39(c)(6)(B–C), (7)(A); VA SOL: A.F.2 d; FL B.E.S.T.: MA.912.AR.3.5; NY-NGLS: AI-A.APR.3, AI-F.BF.1a; CA CCSSM: A-APR.3; MA 2017: HS.A-APR.3; DoDEA CCRSM; NAEP: Algebra—modeling; NCTM P2A: Practices 4, 6.)

ALG1.91 Discriminant and Number of Real Solutions - Select the option that shows how to use the discriminant to determine the number of real solutions to a quadratic equation; Select the statement that correctly interprets what each case means for the graph’s x-intercepts. (CCSS: A-REI.4a–b; TEKS: §111.39(c)(6)(A–C); VA SOL: A.EI.3 a–c; FL B.E.S.T.: MA.912.AR.3.1, 3.8; NY-NGLS: AI-A.REI.4a–b; CA CCSSM: A-REI.4; MA 2017: HS.A-REI.4; DoDEA CCRSM; NAEP: Algebra—equations; NCTM P2A: Practices 1, 6.)

ALG1.92 Transformations of Quadratic Graphs - Select the description that correctly explains translations, reflections, and dilations of y=x^2 and their effect on the parabola; Match equations in different forms to their transformed graphs. (CCSS: F-IF.7a, F-BF.3; TEKS: §111.39(c)(7)(A–C); VA SOL: A.F.2 b–d; FL B.E.S.T.: MA.912.AR.3.6–3.7; NY-NGLS: AI-F.IF.7a; CA CCSSM: F-IF.7a; MA 2017: HS.F-IF.7a; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7.)

ALG1.93 Quadratic Word Problems and Reasonableness - Select the option that shows how to model a situation with a quadratic equation or function; Select the statement that correctly interprets which solutions make sense and explain why others are extraneous. (CCSS: A-APR.3; F-BF.1a; TEKS: §111.39(c)(6)(B–C), (7)(A); VA SOL: A.F.2 d; FL B.E.S.T.: MA.912.AR.3.5; NY-NGLS: AI-A.APR.3, AI-F.BF.1a; CA CCSSM: A-APR.3; MA 2017: HS.A-APR.3; DoDEA CCRSM; NAEP: Algebra—modeling; NCTM P2A: Practices 4, 6.)

ALG1.94 Solve Linear and Quadratic Systems (Optional) - Select the correct solution to systems that include one linear equation and one quadratic equation; Select the statement that correctly interprets solutions as intersection points between a line and a parabola.

ALG1.95 Technology to Verify Quadratic Reasoning - Select the option that shows how to use graphing technology to verify solutions, features, and transformations of quadratics; Select the statement that correctly interprets discrepancies between algebraic and graphical results.

ALG1.96 Simplify Radical Expressions and Convert Forms - Select the simplified form of radical expressions and rewrite radicals as rational exponents and vice versa; Select the option that shows how to use equivalent forms to make operations and interpretation easier. (CCSS: N-RN.1–2 (limited to foundations in Algebra 1 course models); TEKS: §111.39(c)(10)(D) (radicals/sequences mentioned in intro), (8) Radical expressions (districts vary); VA SOL: A.EO.4 a–d; FL B.E.S.T.: MA.912.F.1.1–1.3 (function types include √x, ³√x), MA.912.AR.1.* (foundational algebraic manipulation); NY-NGLS: AI-F.IF.7b (√x), AI-N.Q.* (precision); CA CCSSM: F-IF.7b connections; MA 2017: HS.N-RN.1–2 (in Algebra I model as foundations); DoDEA CCRSM; NAEP: Algebra—number properties; NCTM P2A: Practices 7, 8.)

ALG1.97 Operations with Radical Expressions - Select the correct sum for subtract, and multiply radical expressions and simplify results; Select the option that shows how to apply properties of radicals to combine like radicals correctly. (CCSS: N-RN.1–2 (limited to foundations in Algebra 1 course models); TEKS: §111.39(c)(10)(D) (radicals/sequences mentioned in intro), (8) Radical expressions (districts vary); VA SOL: A.EO.4 a–d; FL B.E.S.T.: MA.912.F.1.1–1.3 (function types include √x, ³√x), MA.912.AR.1.* (foundational algebraic manipulation); NY-NGLS: AI-F.IF.7b (√x), AI-N.Q.* (precision); CA CCSSM: F-IF.7b connections; MA 2017: HS.N-RN.1–2 (in Algebra I model as foundations); DoDEA CCRSM; NAEP: Algebra—number properties; NCTM P2A: Practices 7, 8.)

ALG1.98 Simplify Rational Expressions and Identify Excluded Values - Select the simplified form of rational expressions by factoring and canceling common factors; Identify excluded values and explain why they are not allowed. (CCSS: A-APR.1 (coherence); TEKS: §111.39(c)(10)(C)–(D); VA SOL: A.EO.2 d; FL B.E.S.T.: MA.912.AR.1.4; NY-NGLS: AI-A.SSE.2 (rewriting) connections; CA CCSSM: A-APR connections; MA 2017: HS.A-APR.1 (course model dependent); DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 6, 7.)

ALG1.99 Solve Rational Equations and Check for Extraneous Solutions - Select the correct solution to rational equations and check solutions against excluded values; Select the statement that correctly interprets extraneous solutions as artifacts of multiplying by expressions that can be zero. (CCSS: A-APR.1 (coherence); TEKS: §111.39(c)(10)(C)–(D); VA SOL: A.EO.2 d; FL B.E.S.T.: MA.912.AR.1.4; NY-NGLS: AI-A.SSE.2 (rewriting) connections; CA CCSSM: A-APR connections; MA 2017: HS.A-APR.1 (course model dependent); DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 6, 7.)

ALG1.100 Square Root and Cube Root Functions - Select the graph that represents and interpret square root and cube root functions, including domain and range; Select the description that correctly explains how transformations affect these graphs. (CCSS: F-IF.7b; TEKS: §111.39(c)(3)(C) (key features), (8) (district scope varies); VA SOL: A.F.2 (comparisons across parent functions); FL B.E.S.T.: MA.912.AR.4.3 (absolute value graphs), MA.912.F.1.1 (parent functions); NY-NGLS: AI-F.IF.7b; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7.)

ALG1.101 Rationalize Denominators (Optional) - Select the rewritten form of radical expressions with rational denominators using conjugates; Select the simplified form of and explain why the rewritten form is equivalent.

ALG1.102 Domain Restrictions for Rational and Radical Expressions - Identify domain restrictions that come from denominators and even roots; Select the statement that correctly interprets domain restrictions in real contexts and in graphs. (CCSS: A-APR.1 (coherence); TEKS: §111.39(c)(10)(C)–(D); VA SOL: A.EO.2 d; FL B.E.S.T.: MA.912.AR.1.4; NY-NGLS: AI-A.SSE.2 (rewriting) connections; CA CCSSM: A-APR connections; MA 2017: HS.A-APR.1 (course model dependent); DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 6, 7.)

ALG1.103 Solve Radical Equations and Check Solutions (Optional) - Select the correct solution to simple radical equations and check for extraneous solutions; Select the explanation that correctly explains why squaring both sides can introduce solutions that do not work.

ALG1.104 Use Radicals to Model Distance and Geometry - Select the option that shows how to model distance and other measurement situations with radicals (such as distance between points); Select the statement that correctly interprets solutions with correct units and precision. (CCSS: N-Q.1–3; TEKS: §111.39(b),(c)(1) Process Standards; VA SOL (2023): A.EO.1a; FL B.E.S.T.: MA.912.F.1.3, MA.912.AR.2.* (modeling contexts); NY-NGLS: AI-N.Q.1, AI-N.Q.3; CA CCSSM: N-Q; MA 2017: HS.N-Q (Model Algebra I); DoDEA CCRSM (Algebra I); NAEP: Algebra—using symbols/expressions; NCTM P2A: Practices 1, 2, 6.)

ALG1.105 Absolute Value as Distance and Magnitude - Select the statement that correctly interprets absolute value as distance from zero and as magnitude of change; Select the option that shows how to use distance interpretations to set up simple equations and inequalities. (CCSS: A-REI connections (course-model dependent); TEKS: §111.39(c)(2)(B) (inequalities) and local curricula; VA SOL: A.EI.1 (method reasoning); FL B.E.S.T.: MA.912.AR.4.1; NY-NGLS: AI-F.IF.7b connections; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—equations; NCTM P2A: Practices 1, 3.)

ALG1.106 Graph Absolute Value Functions and Transformations - Select the graph that represents absolute value functions and identify vertex, intercepts, and symmetry; Select the description that correctly explains translations, reflections, and dilations from the parent function y=|x|. (CCSS: F-IF.7b; TEKS: §111.39(c)(3)(C) (key features), (8) (district scope varies); VA SOL: A.F.2 (comparisons across parent functions); FL B.E.S.T.: MA.912.AR.4.3 (absolute value graphs), MA.912.F.1.1 (parent functions); NY-NGLS: AI-F.IF.7b; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7.)

ALG1.107 Solve Absolute Value Equations - Select the correct solution to absolute value equations and verify solutions; Select the statement that correctly interprets solutions as distances or deviations in context. (CCSS: A-REI connections (course-model dependent); TEKS: §111.39(c)(2)(B) (inequalities) and local curricula; VA SOL: A.EI.1 (method reasoning); FL B.E.S.T.: MA.912.AR.4.1; NY-NGLS: AI-F.IF.7b connections; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—equations; NCTM P2A: Practices 1, 3.)

ALG1.108 Solve Absolute Value Inequalities - Select the correct solution to absolute value inequalities and represent solutions on a number line; Select the statement that correctly interprets solution sets as distance constraints in context. (CCSS: A-REI connections (course-model dependent); TEKS: §111.39(c)(2)(B) (inequalities) and local curricula; VA SOL: A.EI.1 (method reasoning); FL B.E.S.T.: MA.912.AR.4.1; NY-NGLS: AI-F.IF.7b connections; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—equations; NCTM P2A: Practices 1, 3.)

ALG1.109 Piecewise-Defined Functions - Select the correct value of and graph piecewise-defined functions, including step functions; Select the statement that correctly interprets open and closed endpoints and domain restrictions from the definition. (CCSS: F-IF.7b; TEKS: §111.39(c)(3)(C) (key features), (8) (district scope varies); VA SOL: A.F.2 (comparisons across parent functions); FL B.E.S.T.: MA.912.AR.4.3 (absolute value graphs), MA.912.F.1.1 (parent functions); NY-NGLS: AI-F.IF.7b; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7.)

ALG1.110 Write Piecewise Rules from Context - Select the model (equation, inequality, or function) that represents piecewise functions from situations such as tax brackets, shipping costs, or grading rules; Select the statement that correctly interprets which inputs belong to each interval and why. (CCSS: Modeling (★) across A-CED, F-IF, F-LE, S-ID; TEKS: §111.39(b)(3) (modeling and technology woven throughout); VA SOL: modeling emphasis across A.EI, A.F, A.ST; FL B.E.S.T.: modeling embedded in MA.912.AR.* and MA.912.F.*; NY-NGLS: ★ standards flagged across Algebra I; CA CCSSM: Modeling emphasis (Framework); MA 2017: Modeling throughout Model Algebra I; DoDEA CCRSM; NAEP: Algebra—applications; NCTM P2A: Practices 1–8.)

ALG1.111 Compare Parent Function Families - Choose the comparison that correctly describes linear, quadratic, exponential, absolute value, and square root functions by key features; Identify which family best matches a graph or context. (CCSS: Modeling (★) across A-CED, F-IF, F-LE, S-ID; TEKS: §111.39(b)(3) (modeling and technology woven throughout); VA SOL: modeling emphasis across A.EI, A.F, A.ST; FL B.E.S.T.: modeling embedded in MA.912.AR.* and MA.912.F.*; NY-NGLS: ★ standards flagged across Algebra I; CA CCSSM: Modeling emphasis (Framework); MA 2017: Modeling throughout Model Algebra I; DoDEA CCRSM; NAEP: Algebra—applications; NCTM P2A: Practices 1–8.)

ALG1.112 Describe Transformations Using Words and Equations - Select the description that correctly explains how changes in an equation create shifts, reflections, and stretches; Match transformed graphs to transformed equations. (CCSS: F-IF.7a; F-BF.3; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 b, f; FL B.E.S.T.: MA.912.AR.2.4; NY-NGLS: AI-F.IF.7a; CA CCSSM: F-IF.7a, F-BF.3; MA 2017: HS.F-IF.7a; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7.)

ALG1.113 Solve Equations Using Graphs and Tables - Select the option that shows how to use graphs and tables to approximate solutions to equations; Select the statement that correctly interprets approximate solutions and explain limits of the approximation. (CCSS: F-IF.4–6; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 a–d; FL B.E.S.T.: MA.912.AR.2.4–2.5, MA.912.F.1.3; NY-NGLS: AI-F.IF.4–6; CA CCSSM: F-IF.4–6; MA 2017: HS.F-IF.4–6; DoDEA CCRSM; NAEP: Algebra—functions and graphs; NCTM P2A: Practices 2, 3.)

ALG1.114 Recognize Arithmetic and Geometric Sequences - Identify arithmetic and geometric sequences from patterns, tables, and graphs; Select the statement that correctly interprets common difference and common ratio in context. (CCSS: F-IF.3; F-BF.2; TEKS: §111.39(c)(10) (sequences referenced), local scope; VA SOL: A.F.2 g (comparisons); FL B.E.S.T.: MA.912.F.1.1 (function types include linear/exponential), MA.912.AR.5.* (geometric growth); NY-NGLS: AI-F.IF.3, AI-F.BF.2; CA CCSSM: F-IF.3, F-BF.2; MA 2017: HS.F-BF.2; DoDEA CCRSM; NAEP: Algebra—patterns; NCTM P2A: Practices 2, 4.)

ALG1.115 Explicit and Recursive Sequence Rules - Select the equation, inequality, expression, or function that represents explicit and recursive rules for arithmetic and geometric sequences; Select the correct value of terms using the rule and explain what the term number represents. (CCSS: F-IF.3; F-BF.2; TEKS: §111.39(c)(10) (sequences referenced), local scope; VA SOL: A.F.2 g (comparisons); FL B.E.S.T.: MA.912.F.1.1 (function types include linear/exponential), MA.912.AR.5.* (geometric growth); NY-NGLS: AI-F.IF.3, AI-F.BF.2; CA CCSSM: F-IF.3, F-BF.2; MA 2017: HS.F-BF.2; DoDEA CCRSM; NAEP: Algebra—patterns; NCTM P2A: Practices 2, 4.)

ALG1.116 Connect Sequences to Linear and Exponential Functions - Match arithmetic sequences to linear functions and geometric sequences to exponential functions; Select the option that shows how to model real situations with sequences and interpret terms meaningfully. (CCSS: F-IF.3; F-BF.2; TEKS: §111.39(c)(10) (sequences referenced), local scope; VA SOL: A.F.2 g (comparisons); FL B.E.S.T.: MA.912.F.1.1 (function types include linear/exponential), MA.912.AR.5.* (geometric growth); NY-NGLS: AI-F.IF.3, AI-F.BF.2; CA CCSSM: F-IF.3, F-BF.2; MA 2017: HS.F-BF.2; DoDEA CCRSM; NAEP: Algebra—patterns; NCTM P2A: Practices 2, 4.)

ALG1.117 Convert Between Explicit and Recursive Forms - Select the form that correctly converts between explicit and recursive definitions when possible; Select the explanation that correctly explains how the difference or ratio is represented in each form. (CCSS: F-IF.3; F-BF.2; TEKS: §111.39(c)(10) (sequences referenced), local scope; VA SOL: A.F.2 g (comparisons); FL B.E.S.T.: MA.912.F.1.1 (function types include linear/exponential), MA.912.AR.5.* (geometric growth); NY-NGLS: AI-F.IF.3, AI-F.BF.2; CA CCSSM: F-IF.3, F-BF.2; MA 2017: HS.F-BF.2; DoDEA CCRSM; NAEP: Algebra—patterns; NCTM P2A: Practices 2, 4.)

ALG1.118 Find Terms and Parameters from Representations - Identify the first term, common difference, or common ratio from a table, graph, or formula; Select the option that shows how to use those parameters to generate additional terms. (CCSS: F-IF.3; F-BF.2; TEKS: §111.39(c)(10) (sequences referenced), local scope; VA SOL: A.F.2 g (comparisons); FL B.E.S.T.: MA.912.F.1.1 (function types include linear/exponential), MA.912.AR.5.* (geometric growth); NY-NGLS: AI-F.IF.3, AI-F.BF.2; CA CCSSM: F-IF.3, F-BF.2; MA 2017: HS.F-BF.2; DoDEA CCRSM; NAEP: Algebra—patterns; NCTM P2A: Practices 2, 4.)

ALG1.119 Sequence Word Problems - Select the correct solution to sequence problems in context, such as savings plans or patterns in designs; Select the statement that correctly interprets what specific terms and parameters mean for the situation. (CCSS: F-IF.3; F-BF.2; TEKS: §111.39(c)(10) (sequences referenced), local scope; VA SOL: A.F.2 g (comparisons); FL B.E.S.T.: MA.912.F.1.1 (function types include linear/exponential), MA.912.AR.5.* (geometric growth); NY-NGLS: AI-F.IF.3, AI-F.BF.2; CA CCSSM: F-IF.3, F-BF.2; MA 2017: HS.F-BF.2; DoDEA CCRSM; NAEP: Algebra—patterns; NCTM P2A: Practices 2, 4.)

ALG1.120 Display One-Variable Data and Describe Distributions - Choose appropriate plots (dot plot, histogram, box plot) to display one-variable data; Select the description that correctly explains center, spread, and shape using correct statistical language. (CCSS: S-ID.1–3; TEKS: §111.39(b)(3), course emphasis; VA SOL: A.ST.1 a–c (data cycle emphasis in A1); FL B.E.S.T.: MA.912.DP.1.1; NY-NGLS: AI-S.ID.1–3; CA CCSSM: S-ID.1–3; MA 2017: HS.S-ID.1–3; DoDEA CCRSM; NAEP: Data Analysis and Probability; NCTM P2A: Practices 1, 3.)

ALG1.121 Compare Distributions and Identify Outliers - Choose the comparison that correctly describes two distributions using measures of center and variability; Identify outliers and describe their effect on summaries. (CCSS: S-ID.1–3; TEKS: §111.39(b)(3), course emphasis; VA SOL: A.ST.1 a–c (data cycle emphasis in A1); FL B.E.S.T.: MA.912.DP.1.1; NY-NGLS: AI-S.ID.1–3; CA CCSSM: S-ID.1–3; MA 2017: HS.S-ID.1–3; DoDEA CCRSM; NAEP: Data Analysis and Probability; NCTM P2A: Practices 1, 3.)

ALG1.122 Scatterplots and Association - Select the model (equation, inequality, or function) that represents and interpret scatterplots for two quantitative variables; Select the description that correctly explains strength, direction, and form of association. (CCSS: S-ID.5–9; TEKS: §111.39(b)(3) and technology use; VA SOL: A.ST.1 d–i; FL B.E.S.T.: MA.912.DP.1.1 (displays) with Algebra 1 modeling links (AR.2.5); NY-NGLS: AI-S.ID.5–9; CA CCSSM: S-ID.5–9; MA 2017: HS.S-ID.5–9; DoDEA CCRSM; NAEP: Algebra—modeling with data; NCTM P2A: Practices 4, 5.)

ALG1.123 Lines of Best Fit and Linear Models - Select the best-fit model for a line to data by eye or with technology and write an equation for the model; Select the statement that correctly interprets slope and intercept as rate of change and initial value in context. (CCSS: S-ID.5–9; TEKS: §111.39(b)(3) and technology use; VA SOL: A.ST.1 d–i; FL B.E.S.T.: MA.912.DP.1.1 (displays) with Algebra 1 modeling links (AR.2.5); NY-NGLS: AI-S.ID.5–9; CA CCSSM: S-ID.5–9; MA 2017: HS.S-ID.5–9; DoDEA CCRSM; NAEP: Algebra—modeling with data; NCTM P2A: Practices 4, 5.)

ALG1.124 Residuals and Correlation for Model Fit - Identify residuals and correlation to judge how well a linear model fits data; Identify patterns or outliers that suggest a different model may be better. (CCSS: S-ID.5–9; TEKS: §111.39(b)(3) and technology use; VA SOL: A.ST.1 d–i; FL B.E.S.T.: MA.912.DP.1.1 (displays) with Algebra 1 modeling links (AR.2.5); NY-NGLS: AI-S.ID.5–9; CA CCSSM: S-ID.5–9; MA 2017: HS.S-ID.5–9; DoDEA CCRSM; NAEP: Algebra—modeling with data; NCTM P2A: Practices 4, 5.)

ALG1.125 Data-Based Modeling Decisions - Select the option that shows how to use data and models to answer questions and make predictions; Select the representation or statement that communicates conclusions with appropriate caution, including assumptions and limitations. (CCSS: Modeling (★) across A-CED, F-IF, F-LE, S-ID; TEKS: §111.39(b)(3) (modeling and technology woven throughout); VA SOL: modeling emphasis across A.EI, A.F, A.ST; FL B.E.S.T.: modeling embedded in MA.912.AR.* and MA.912.F.*; NY-NGLS: ★ standards flagged across Algebra I; CA CCSSM: Modeling emphasis (Framework); MA 2017: Modeling throughout Model Algebra I; DoDEA CCRSM; NAEP: Algebra—applications; NCTM P2A: Practices 1–8.)

ALG1.126 Choose Measures of Center and Variation - Choose mean or median and an appropriate measure of spread (IQR or standard deviation) based on distribution shape; Select the statement that correctly interprets the chosen measures in context. (CCSS: S-ID.1–3; TEKS: §111.39(b)(3), course emphasis; VA SOL: A.ST.1 a–c (data cycle emphasis in A1); FL B.E.S.T.: MA.912.DP.1.1; NY-NGLS: AI-S.ID.1–3; CA CCSSM: S-ID.1–3; MA 2017: HS.S-ID.1–3; DoDEA CCRSM; NAEP: Data Analysis and Probability; NCTM P2A: Practices 1, 3.)

ALG1.127 Correlation and Causation - Select the statement that correctly interprets correlation as strength and direction of linear association; Identify the option that distinguishes correlation from causation using context and study design ideas. (CCSS: S-ID.5–9; TEKS: §111.39(b)(3) and technology use; VA SOL: A.ST.1 d–i; FL B.E.S.T.: MA.912.DP.1.1 (displays) with Algebra 1 modeling links (AR.2.5); NY-NGLS: AI-S.ID.5–9; CA CCSSM: S-ID.5–9; MA 2017: HS.S-ID.5–9; DoDEA CCRSM; NAEP: Algebra—modeling with data; NCTM P2A: Practices 4, 5.)

ALG1.128 Technology for Regression and Prediction - Select the option that shows how to use technology to compute regression equations and to make predictions; Select the statement that correctly interprets predictions and explain why extrapolation can be risky. (CCSS: S-ID.5–9; TEKS: §111.39(b)(3) and technology use; VA SOL: A.ST.1 d–i; FL B.E.S.T.: MA.912.DP.1.1 (displays) with Algebra 1 modeling links (AR.2.5); NY-NGLS: AI-S.ID.5–9; CA CCSSM: S-ID.5–9; MA 2017: HS.S-ID.5–9; DoDEA CCRSM; NAEP: Algebra—modeling with data; NCTM P2A: Practices 4, 5.)

ALG1.129 Sampling Methods and Bias (Optional) - Identify biased samples and explain how sampling methods affect conclusions; Choose improvements that would make a sample more representative.

ALG1.130 Two-Way Tables and Conditional Relative Frequency (Optional) - Select the statement that correctly interprets two-way tables and conditional relative frequencies to describe relationships between categorical variables; Select the option that shows how to use conditional frequencies to answer probability and comparison questions.

ALG1.131 The Modeling Cycle - Select the option that shows how to apply the modeling cycle to translate a real situation into equations or functions and interpret the results; Select the revision that improves assumptions or models when results do not fit the context well. (CCSS: Modeling (★) across A-CED, F-IF, F-LE, S-ID; TEKS: §111.39(b)(3) (modeling and technology woven throughout); VA SOL: modeling emphasis across A.EI, A.F, A.ST; FL B.E.S.T.: modeling embedded in MA.912.AR.* and MA.912.F.*; NY-NGLS: ★ standards flagged across Algebra I; CA CCSSM: Modeling emphasis (Framework); MA 2017: Modeling throughout Model Algebra I; DoDEA CCRSM; NAEP: Algebra—applications; NCTM P2A: Practices 1–8.)

ALG1.132 Reasoning and Mathematical Arguments - Select the option that correctly constructs arguments using definitions, properties, and logical steps; Select the critique that correctly evaluates the reasoning of others by checking assumptions and steps. (CCSS: MP.1–MP.8; TEKS: §111.39(c)(1) Process Standards; VA SOL: Process goals embedded; FL B.E.S.T.: Mathematical Thinking and Reasoning (MTR) practices across courses; NY-NGLS: Practices embedded; CA CCSSM: Practices; MA 2017: SMPs Appendix II; DoDEA CCRSM: Mathematical Practices; NCTM P2A: Effective Mathematics Teaching Practices.)

ALG1.133 Strategic Use of Tools and Technology - Select the option that shows how to use tools such as graphing technology, spreadsheets, and calculators strategically; Choose a tool based on efficiency, accuracy, and the demands of the problem. (CCSS: MP.1–MP.8; TEKS: §111.39(c)(1) Process Standards; VA SOL: Process goals embedded; FL B.E.S.T.: Mathematical Thinking and Reasoning (MTR) practices across courses; NY-NGLS: Practices embedded; CA CCSSM: Practices; MA 2017: SMPs Appendix II; DoDEA CCRSM: Mathematical Practices; NCTM P2A: Effective Mathematics Teaching Practices.)

ALG1.134 Validate Solutions and Models - Select the check that validates solutions by substitution, graphing, unit checks, and reasonableness; Identify domain restrictions and constraints that affect valid answers. (CCSS: Modeling (★) across A-CED, F-IF, F-LE, S-ID; TEKS: §111.39(b)(3) (modeling and technology woven throughout); VA SOL: modeling emphasis across A.EI, A.F, A.ST; FL B.E.S.T.: modeling embedded in MA.912.AR.* and MA.912.F.*; NY-NGLS: ★ standards flagged across Algebra I; CA CCSSM: Modeling emphasis (Framework); MA 2017: Modeling throughout Model Algebra I; DoDEA CCRSM; NAEP: Algebra—applications; NCTM P2A: Practices 1–8.)

ALG1.135 Communicate with Multiple Representations - Select the representation or statement that communicates mathematical ideas using words, equations, tables, and graphs; Select the statement that correctly interprets how a change in one representation changes the others. (CCSS: MP.1–MP.8; TEKS: §111.39(c)(1) Process Standards; VA SOL: Process goals embedded; FL B.E.S.T.: Mathematical Thinking and Reasoning (MTR) practices across courses; NY-NGLS: Practices embedded; CA CCSSM: Practices; MA 2017: SMPs Appendix II; DoDEA CCRSM: Mathematical Practices; NCTM P2A: Effective Mathematics Teaching Practices.)

ALG1.136 Integrated Modeling Problems - Select the correct solution to multi-step modeling problems that require choosing among linear, quadratic, and exponential models; Select the statement that correctly interprets solutions, including units, constraints, and limitations. (CCSS: Modeling (★) across A-CED, F-IF, F-LE, S-ID; TEKS: §111.39(b)(3) (modeling and technology woven throughout); VA SOL: modeling emphasis across A.EI, A.F, A.ST; FL B.E.S.T.: modeling embedded in MA.912.AR.* and MA.912.F.*; NY-NGLS: ★ standards flagged across Algebra I; CA CCSSM: Modeling emphasis (Framework); MA 2017: Modeling throughout Model Algebra I; DoDEA CCRSM; NAEP: Algebra—applications; NCTM P2A: Practices 1–8.)

ALG1.137 Error Analysis and Misconception Checks - Identify incorrect work to identify the first mistake and the misconception behind it; Choose a correction and explain why it fixes the error. (CCSS: MP.1–MP.8; TEKS: §111.39(c)(1) Process Standards; VA SOL: Process goals embedded; FL B.E.S.T.: Mathematical Thinking and Reasoning (MTR) practices across courses; NY-NGLS: Practices embedded; CA CCSSM: Practices; MA 2017: SMPs Appendix II; DoDEA CCRSM: Mathematical Practices; NCTM P2A: Effective Mathematics Teaching Practices.)

ALG1.138 Mixed Practice and Test Readiness Sets - Select the option that shows how to use spiraled mixed practice to maintain fluency across domains; Identify which skill or representation a problem is targeting before solving.