Pre-CAL.16 Determine Whether a Relation Is a Function - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a relation (graph, table, mapping, or ordered pairs), determine whether it is a function and select the correct justification. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.17 Represent Domain and Range Using Standard Notation - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a domain or range description or graph, select the correct interval, inequality, or set-builder notation that represents it. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.18 Identify Increasing, Decreasing, Positive, and Negative Intervals - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a graph, determine the interval(s) where the function is increasing, decreasing, positive, or negative and select the correct interval notation. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.19 Identify Relative Extrema and End Behavior - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a function graph or equation, identify relative maxima and minima and select the statement that correctly describes end behavior. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.20 Identify Symmetry and Periodicity - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a function equation or graph, determine whether it is even, odd, or neither and identify whether the function is periodic (and, if so, its period). Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.21 Determine Transformations from Equations - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a transformed function equation, identify the parameter changes and select the graph that matches those transformations. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.22 Write Equations from Transformed Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a graph and a parent function, determine the correct transformed equation that matches the graph. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.23 Restrict Domains to Create Inverses - Restrict Domains to Create Inverses

Pre-CAL.24 Verify Inverses by Composition and Reflection - Verify Inverses by Composition and Reflection

Pre-CAL.25 Compare Key Features of Two Functions - Compare Key Features of Two Functions

Pre-CAL.26 Interpret Piecewise and Step Functions - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a piecewise or step function, determine which rule applies for a given input and select the correct graph or output, including any discontinuities. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.27 Use Regression to Fit Models and Interpret Parameters - Use Regression to Fit Models and Interpret Parameters

Pre-CAL.28 Analyze Residuals and Model Fit - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given residual plots or residual summaries for two models, determine which model fits better and identify evidence of underfitting or overfitting. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.29 Apply Constraints and Interpret Solutions in Context - Apply Constraints and Interpret Solutions in Context

Pre-CAL.30 Translate Between Verbal Descriptions and Function Notation - Translate Between Verbal Descriptions and Function Notation

Pre-CAL.31 Polynomial Operations and Structure - Polynomial Operations and Structure

Pre-CAL.32 Factoring and Zeros of Polynomials - Factoring and Zeros of Polynomials

Pre-CAL.33 Polynomial Division and the Remainder Theorem - Polynomial Division and the Remainder Theorem

Pre-CAL.34 Graphs of Polynomial Functions and End Behavior - Primary standard selected for prompt fields in this prompt cell: CCSS HSA-SSE.1-3. Skill statement in this prompt cell: Given a polynomial function or its factored form, select the graph that matches its end behavior and zeros and identify key features such as intercepts and turning points. Associated standards listed with this skill in this prompt cell: CCSS HSA-SSE.1-3; CCSS HSA-APR.1-7(+); CCSS HSF-IF.7c-7d,8a; CCSS HSA-REI.11; SMP 1,2,7,8; AP Precalculus CED Unit 1; TX Section 111.42(c)(5)(B-H); FL MA.912.AR.6.3-6.6, MA.912.AR.8.3; VA MA.CF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.35 Multiplicity and Turning Points - Primary standard selected for prompt fields in this prompt cell: CCSS HSA-SSE.1-3. Skill statement in this prompt cell: Given a factored polynomial, determine multiplicities and select the correct graph behavior at each intercept and the reasonable number of turning points. Associated standards listed with this skill in this prompt cell: CCSS HSA-SSE.1-3; CCSS HSA-APR.1-7(+); CCSS HSF-IF.7c-7d,8a; CCSS HSA-REI.11; SMP 1,2,7,8; AP Precalculus CED Unit 1; TX §111.42(c)(5)(B-H); FL MA.912.AR.6.3-6.6, MA.912.AR.8.3; VA MA.CF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.36 Solving Polynomial Equations - Solving Polynomial Equations

Pre-CAL.37 Modeling with Polynomial Functions - Modeling with Polynomial Functions

Pre-CAL.38 Rational Expressions Simplification and Operations - Rational Expressions Simplification and Operations

Pre-CAL.39 Graphs of Rational Functions - Primary standard selected for prompt fields in this prompt cell: CCSS HSA-SSE.1-3. Skill statement in this prompt cell: Given a rational function, determine asymptotes and holes and select the graph that matches these features and end behavior. Associated standards listed with this skill in this prompt cell: CCSS HSA-SSE.1-3; CCSS HSA-APR.1-7(+); CCSS HSF-IF.7c-7d,8a; CCSS HSA-REI.11; SMP 1,2,7,8; AP Precalculus CED Unit 1; TX §111.42(c)(5)(B-H); FL MA.912.AR.6.3-6.6, MA.912.AR.8.3; VA MA.CF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.40 Solving Rational Equations and Inequalities - Solving Rational Equations and Inequalities

Pre-CAL.41 Partial Fraction Decomposition - Primary standard selected for prompt fields in this prompt cell: CCSS HSA-SSE.1-3. Skill statement in this prompt cell: Given a rational expression, select the correct partial fraction decomposition and determine how the decomposition supports solving or graph interpretation. Associated standards listed with this skill in this prompt cell: CCSS HSA-SSE.1-3; CCSS HSA-APR.1-7(+); CCSS HSF-IF.7c-7d,8a; CCSS HSA-REI.11; SMP 1,2,7,8; AP Precalculus CED Unit 1; TX §111.42(c)(5)(B-H); FL MA.912.AR.6.3-6.6, MA.912.AR.8.3; VA MA.CF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.42 Variation Models - Variation Models

Pre-CAL.43 Use the Fundamental Theorem of Algebra and Complex Conjugate Roots - Use the Fundamental Theorem of Algebra and Complex Conjugate Roots

Pre-CAL.44 Use the Factor Theorem to Determine Factors - Use the Factor Theorem to Determine Factors

Pre-CAL.45 Use Synthetic Division Efficiently - Use Synthetic Division Efficiently

Pre-CAL.46 Use the Rational Root Theorem to List Possible Rational Zeros - Use the Rational Root Theorem to List Possible Rational Zeros

Pre-CAL.47 Identify Removable and Infinite Discontinuities in Rational Functions - Identify Removable and Infinite Discontinuities in Rational Functions

Pre-CAL.48 Determine Horizontal and Vertical Asymptotes - Primary standard selected for prompt fields in this prompt cell: CCSS HSA-SSE.1-3. Skill statement in this prompt cell: Given a rational function, identify the correct vertical and horizontal (or oblique) asymptotes and select the graph behavior that matches them. Associated standards listed with this skill in this prompt cell: CCSS HSA-SSE.1-3; CCSS HSA-APR.1-7(+); CCSS HSF-IF.7c-7d,8a; CCSS HSA-REI.11; SMP 1,2,7,8; AP Precalculus CED Unit 1; TX §111.42(c)(5)(B-H); FL MA.912.AR.6.3-6.6, MA.912.AR.8.3; VA MA.CF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.49 Find Inverses of Simple Rational Functions - Find Inverses of Simple Rational Functions

Pre-CAL.50 Solve Polynomial Inequalities Using Sign Charts - Solve Polynomial Inequalities Using Sign Charts

Pre-CAL.51 Solve Rational Inequalities Using Sign Charts - Solve Rational Inequalities Using Sign Charts

Pre-CAL.52 Create Polynomial Functions with Given Zeros and End Behavior - Primary standard selected for prompt fields in this prompt cell: CCSS HSA-SSE.1-3. Skill statement in this prompt cell: Given desired zeros, multiplicities, and end behavior, select the polynomial function that satisfies all conditions and matches the corresponding graph. Associated standards listed with this skill in this prompt cell: CCSS HSA-SSE.1-3; CCSS HSA-APR.1-7(+); CCSS HSF-IF.7c-7d,8a; CCSS HSA-REI.11; SMP 1,2,7,8; AP Precalculus CED Unit 1; TX §111.42(c)(5)(B-H); FL MA.912.AR.6.3-6.6, MA.912.AR.8.3; VA MA.CF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.53 Analyze Local Extrema and Shape from Polynomial Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS HSA-SSE.1-3. Skill statement in this prompt cell: Given a polynomial graph or table, identify intervals of increase and decrease and select the correct location and interpretation of local extrema. Associated standards listed with this skill in this prompt cell: CCSS HSA-SSE.1-3; CCSS HSA-APR.1-7(+); CCSS HSF-IF.7c-7d,8a; CCSS HSA-REI.11; SMP 1,2,7,8; AP Precalculus CED Unit 1; TX §111.42(c)(5)(B-H); FL MA.912.AR.6.3-6.6, MA.912.AR.8.3; VA MA.CF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.54 Use Technology to Approximate Zeros and Intersections - Primary standard selected for prompt fields in this prompt cell: CCSS HSA-SSE.1-3. Skill statement in this prompt cell: Given a graphing-tool output, determine approximate zeros or intersections and select a reasonable estimate with appropriate rounding and interpretation. Associated standards listed with this skill in this prompt cell: CCSS HSA-SSE.1-3; CCSS HSA-APR.1-7(+); CCSS HSF-IF.7c-7d,8a; CCSS HSA-REI.11; SMP 1,2,7,8; AP Precalculus CED Unit 1; TX §111.42(c)(5)(B-H); FL MA.912.AR.6.3-6.6, MA.912.AR.8.3; VA MA.CF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.55 Exponential Functions and Characteristics - Exponential Functions and Characteristics

Pre-CAL.56 Exponential Growth and Decay Modeling - Exponential Growth and Decay Modeling

Pre-CAL.57 Compound Interest and Continuous Growth - Compound Interest and Continuous Growth

Pre-CAL.58 Logarithms as Inverses of Exponentials - Logarithms as Inverses of Exponentials

Pre-CAL.59 Logarithmic Properties and Equivalent Forms - Logarithmic Properties and Equivalent Forms

Pre-CAL.60 Solving Exponential and Logarithmic Equations - Solving Exponential and Logarithmic Equations

Pre-CAL.61 Transformations of Exponential and Logarithmic Functions - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given a transformed exponential or logarithmic function, identify the transformation(s) and select the correct graph or equation that matches. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.62 Interpreting Logarithmic Scales and Linearization - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given a situation using a logarithmic scale or a log-transformed plot, determine the correct interpretation of slope and intercept and select conclusions supported by the linearized model. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.63 Geometric Sequences as Exponential Models - Geometric Sequences as Exponential Models

Pre-CAL.64 Fitting Exponential and Logarithmic Models Using Technology - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given regression output and data, select the correct exponential or logarithmic model and determine which model is most reasonable based on residuals and context. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.65 Convert Between Exponential and Logarithmic Forms - Convert Between Exponential and Logarithmic Forms

Pre-CAL.66 Use Change of Base to Evaluate Logarithms - Use Change of Base to Evaluate Logarithms

Pre-CAL.67 Determine Domain, Range, and Asymptotes of Exponential and Logarithmic Functions - Determine Domain, Range, and Asymptotes of Exponential and Logarithmic Functions

Pre-CAL.68 Interpret Parameters in Transformed Exponential Models - Interpret Parameters in Transformed Exponential Models

Pre-CAL.69 Interpret Parameters in Transformed Logarithmic Models - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given a transformed logarithmic model, determine the effect of each parameter and select the correct graph or contextual interpretation. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.70 Solve for an Unknown Base or Exponent - Solve for an Unknown Base or Exponent

Pre-CAL.71 Use Logarithms to Solve Power Equations - Use Logarithms to Solve Power Equations

Pre-CAL.72 Compare Linear, Exponential, and Quadratic Growth from Data - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given a data table or graph, determine whether the pattern is more consistent with linear, exponential, or quadratic growth and select evidence that supports the choice. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.73 Use Residuals to Compare Competing Models - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given residual plots or statistics for two models, determine which model is better supported and select the evidence that justifies that selection. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.74 Apply Constraints and Interpret Exponential and Logarithmic Models - Apply Constraints and Interpret Exponential and Logarithmic Models

Pre-CAL.75 Angle Measure and the Radian Concept - Angle Measure and the Radian Concept

Pre-CAL.76 Unit Circle Definitions of Sine and Cosine - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given an angle on the unit circle, determine the coordinates and select the correct values of sine and cosine. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.77 Trigonometric Ratios and Reciprocal Functions - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a right triangle or unit circle information, determine the correct trigonometric ratio and select the equivalent form using reciprocal or quotient identities. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.78 Exact Trigonometric Values and Special Triangles - Exact Trigonometric Values and Special Triangles

Pre-CAL.79 Graphs of Sine and Cosine Functions - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a sine or cosine equation or graph, determine amplitude, period, midline, and shifts and select the matching graph or equation. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.80 Graphs of Tangent and Reciprocal Trigonometric Functions - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement: Given a tangent or reciprocal trigonometric function, identify asymptotes, period, and key transformations and select the correct graph. Associated standards listed with this skill: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3.

Pre-CAL.81 Transformations of Trigonometric Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a transformed trigonometric function, determine the parameter effects and select the correct transformed graph or equation. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.82 Inverse Trigonometric Functions and Domain Restrictions - Inverse Trigonometric Functions and Domain Restrictions

Pre-CAL.83 Solving Trigonometric Equations and Inequalities - Solving Trigonometric Equations and Inequalities

Pre-CAL.84 Fundamental Trigonometric Identities - Fundamental Trigonometric Identities

Pre-CAL.85 Sum and Difference Formulas - Sum and Difference Formulas

Pre-CAL.86 Double-Angle and Half-Angle Formulas - Double-Angle and Half-Angle Formulas

Pre-CAL.87 Law of Sines and Law of Cosines - Law of Sines and Law of Cosines

Pre-CAL.88 Modeling Periodic Phenomena with Sinusoidal Functions - Modeling Periodic Phenomena with Sinusoidal Functions

Pre-CAL.89 Polar Coordinates and Conversion with Rectangular Coordinates - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a point in polar or rectangular form, determine its equivalent representation in the other system and select the correct plotted location. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.90 Find Coterminal Angles and Reference Angles - Find Coterminal Angles and Reference Angles

Pre-CAL.91 Evaluate Trigonometric Functions Given a Point on the Terminal Side - Evaluate Trigonometric Functions Given a Point on the Terminal Side

Pre-CAL.92 Use Cofunction and Symmetry Relationships on the Unit Circle - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given an expression such as sin(π - x), cos(π + x), or 2π - x, select the equivalent expression in terms of sin(x), cos(x), or tan(x). Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.93 Determine Domain and Range of Trigonometric Functions from Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a trigonometric function graph, identify its domain and range and select any excluded values caused by asymptotes or restrictions. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.94 Determine Key Features of a Sinusoid from Context or Graph - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a sinusoidal graph or situation, determine amplitude, period, midline, and phase shift and select the interpretation that matches the context. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.95 Write a Sinusoidal Equation from Data and Features - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given key sinusoidal features or data points, determine the correct sinusoidal equation and select the graph that matches the data. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.96 Use Technology to Graph Trigonometric Functions in Radian Mode - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a trigonometric graphing situation, identify the correct calculator or technology settings (including radian mode) and select the correct interpretation of trace or table values. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.97 Simplify Expressions Using Trigonometric Identities - Simplify Expressions Using Trigonometric Identities

Pre-CAL.98 Verify Trigonometric Identities by Algebraic Manipulation - Verify Trigonometric Identities by Algebraic Manipulation

Pre-CAL.99 Solve Trigonometric Equations on a Specified Interval - Solve Trigonometric Equations on a Specified Interval

Pre-CAL.100 Solve Triangles Including the Ambiguous Case - Solve Triangles Including the Ambiguous Case

Pre-CAL.101 Find the Area of a Triangle Using Trigonometry - Find the Area of a Triangle Using Trigonometry

Pre-CAL.102 Convert Between Rectangular and Polar Equations - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given an equation in rectangular or polar form, determine its equivalent form in the other system and select the correct conversion. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.103 Graph Polar Equations Including Special Curves - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a polar equation, select the graph that matches and identify the curve type (circle, rose, cardioid, and so on). Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.104 Interpret Symmetry and Periodicity in Polar Graphs - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-TF.1-9(+). Skill statement in this prompt cell: Given a polar equation, determine which symmetry test applies and select the correct conclusion about symmetry and periodicity of the graph. Associated standards listed with this skill in this prompt cell: CCSS HSF-TF.1-9(+); CCSS HSF-IF.7e; CCSS HSG-SRT.C.6-8; SMP 1,2,3,5,7,8; AP Precalculus CED Unit 3; TX §111.42(c)(4)(A-D), (c)(5)(I); FL MA.912.T.1.3-1.8, MA.912.T.2.1-2.5, MA.912.T.3.1-3.3, MA.912.T.4.1-4.7; VA T.CT.1-2, T.GT.1-2, T.IE.1-3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.105 Derive and Interpret Circle Equations - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given circle information or an equation, determine the standard form, center, and radius and select the graph that matches. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.106 Derive and Interpret Parabola Equations - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a parabola equation or key features, determine vertex, focus, directrix, and opening direction and select the matching graph. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.107 Derive and Interpret Ellipse Equations - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given an ellipse equation or description, determine center, vertices, axis lengths, and foci and select the correct graph. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.108 Derive and Interpret Hyperbola Equations - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a hyperbola equation or description, determine center, vertices, asymptotes, and foci and select the correct graph. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.109 Key Features and Eccentricity of Conic Sections - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a conic section representation, determine key features (including eccentricity when applicable) and select the statement that correctly describes the conic's shape and properties. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.110 Transformations of Conics - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a conic equation in standard form, determine the transformation(s) from a parent conic and select the graph that matches the transformed equation. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.111 Applications of Conic Sections - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given an application scenario involving a conic, determine the correct conic model and select the correct interpreted solution with units and constraints. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.112 Parametric Equations for Curves and Motion - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given parametric equations, determine the plotted curve and direction of motion and select the correct position for a given parameter value. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.113 Convert Between Parametric and Rectangular Forms - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a parametric or rectangular curve, determine an equivalent representation in the other form and select the correct conversion steps or final equation. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.114 Conic Sections in Polar Form - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a polar conic equation, determine the conic type and select key features such as eccentricity and orientation. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.115 Complete the Square to Rewrite Conic Equations - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a general quadratic equation in x and y, determine the correct completed-square standard form and select the identified conic type. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.116 Determine Focus, Directrix, and Latus Rectum for Parabolas - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a parabola equation, determine the focus and directrix and select the correct sketch showing these features. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.117 Determine Foci, Vertices, and Axes for Ellipses - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given an ellipse equation, identify vertices, foci, and axis lengths and select the correct labeled graph. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.118 Determine Asymptotes and Key Features for Hyperbolas - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a hyperbola equation, determine asymptote equations and key features and select the correct graph that matches. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.119 Graph Conics Using Key Features and Technology - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given conic features or an equation, select the graph that matches and identify the key feature values that support the match. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.120 Identify a Conic Section from Its Equation or Graph - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a conic equation or graph, determine the conic type and select the evidence that justifies the classification. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.121 Find Intersections of Lines and Conics - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a line and a conic, determine the intersection point(s) and select the correct set of solutions after checking validity. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.122 Sketch Parametric Curves and Indicate Direction of Motion - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given parametric equations and a parameter interval, select the correct sketch and direction arrows for the curve. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.123 Model Motion Applications with Parametric Equations - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a parametric motion model, determine positions at stated times and select the interpretation that matches the motion described. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.124 Recognize Symmetry in Parametric and Polar Representations - Primary standard selected for prompt fields in this prompt cell: CCSS HSG-GPE.A.1-3(+). Skill statement in this prompt cell: Given a parametric or polar equation, determine whether it has symmetry (and which type) and select the correct conclusion about its repeating behavior. Associated standards listed with this skill in this prompt cell: CCSS HSG-GPE.A.1-3(+); CCSS HS-Modeling; SMP 1,2,4,5,7,8; AP Precalculus CED Units 3-4; TX §111.42(c)(3)(D-H); FL MA.912.GR.7.1-7.9, MA.912.T.4.5-4.7; VA MA.AG.1-2. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.125 Complex Numbers and the Complex Plane - Primary standard selected for prompt fields in this prompt cell: CCSS HSN-CN.1-9(+). Skill statement in this prompt cell: Given a complex number, determine its location on the complex plane and select the correct modulus and interpretation of its parts. Associated standards listed with this skill in this prompt cell: CCSS HSN-CN.1-9(+); CCSS HSN-VM.1-12(+); SMP 2,4,5,7,8; AP Precalculus CED Unit 4; TX §111.42(c)(3)(I-K); FL MA.912.NSO.2.2-2.5, MA.912.NSO.3; VA MA.AG.3-5. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.126 Operations with Complex Numbers and Conjugates - Operations with Complex Numbers and Conjugates

Pre-CAL.127 Polar and Trigonometric Forms of Complex Numbers - Primary standard selected for prompt fields in this prompt cell: CCSS HSN-CN.1-9(+). Skill statement in this prompt cell: Given a complex number, determine its polar or trigonometric form (or rectangular form) and select the correct modulus and argument. Associated standards listed with this skill in this prompt cell: CCSS HSN-CN.1-9(+); CCSS HSN-VM.1-12(+); SMP 2,4,5,7,8; AP Precalculus CED Unit 4; TX §111.42(c)(3)(I-K); FL MA.912.NSO.2.2-2.5, MA.912.NSO.3; VA MA.AG.3-5. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.128 De Moivre's Theorem and Roots of Complex Numbers - Primary standard selected for prompt fields in this prompt cell: CCSS HSN-CN.1-9(+). Skill statement in this prompt cell: Given a complex number in polar form, determine a requested power or root using De Moivre's Theorem and select the correct set of roots in the complex plane. Associated standards listed with this skill in this prompt cell: CCSS HSN-CN.1-9(+); CCSS HSN-VM.1-12(+); SMP 2,4,5,7,8; AP Precalculus CED Unit 4; TX §111.42(c)(3)(I-K); FL MA.912.NSO.2.2-2.5, MA.912.NSO.3; VA MA.AG.3-5. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.129 Vectors in the Plane and Vector Operations - Primary standard selected for prompt fields in this prompt cell: CCSS HSN-CN.1-9(+). Skill statement in this prompt cell: Given vectors in component or geometric form, determine the result of vector operations and select the correct graphical representation. Associated standards listed with this skill in this prompt cell: CCSS HSN-CN.1-9(+); CCSS HSN-VM.1-12(+); SMP 2,4,5,7,8; AP Precalculus CED Unit 4; TX §111.42(c)(3)(I-K); FL MA.912.NSO.2.2-2.5, MA.912.NSO.3; VA MA.AG.3-5. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.130 Unit Vectors, Magnitude, and Direction - Unit Vectors, Magnitude, and Direction

Pre-CAL.131 Dot Product and Projections - Dot Product and Projections

Pre-CAL.132 Matrices and Matrix Operations - Matrices and Matrix Operations

Pre-CAL.133 Matrices as Linear Transformations - Matrices as Linear Transformations

Pre-CAL.134 Solving Systems Using Matrices and Technology - Solving Systems Using Matrices and Technology

Pre-CAL.135 Convert Between Rectangular and Polar Forms for Complex Numbers - Primary standard selected for prompt fields in this prompt cell: CCSS HSN-CN.1-9(+). Skill statement in this prompt cell: Given a complex number, determine r and theta and select the correct polar or rectangular form conversion. Associated standards listed with this skill in this prompt cell: CCSS HSN-CN.1-9(+); CCSS HSN-VM.1-12(+); SMP 2,4,5,7,8; AP Precalculus CED Unit 4; TX §111.42(c)(3)(I-K); FL MA.912.NSO.2.2-2.5, MA.912.NSO.3; VA MA.AG.3-5. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.136 Compute Modulus and Argument and Interpret Them Geometrically - Compute Modulus and Argument and Interpret Them Geometrically

Pre-CAL.137 Use Complex Conjugates to Divide Complex Numbers - Use Complex Conjugates to Divide Complex Numbers

Pre-CAL.138 Represent Vectors in Component and Geometric Form - Represent Vectors in Component and Geometric Form

Pre-CAL.139 Add, Subtract, and Scale Vectors Graphically and Algebraically - Primary standard selected for prompt fields in this prompt cell: CCSS HSN-CN.1-9(+). Skill statement in this prompt cell: Given vectors, determine the result of addition, subtraction, or scalar multiplication and select the diagram that correctly represents the operation. Associated standards listed with this skill in this prompt cell: CCSS HSN-CN.1-9(+); CCSS HSN-VM.1-12(+); SMP 2,4,5,7,8; AP Precalculus CED Unit 4; TX §111.42(c)(3)(I-K); FL MA.912.NSO.2.2-2.5, MA.912.NSO.3; VA MA.AG.3-5. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.140 Determine the Angle Between Vectors Using the Dot Product - Determine the Angle Between Vectors Using the Dot Product

Pre-CAL.141 Multiply Matrices and Interpret Non-Commutativity - Multiply Matrices and Interpret Non-Commutativity

Pre-CAL.142 Find Determinants and Inverses for Two by Two and Three by Three Matrices - Primary standard selected for prompt fields in this prompt cell: CCSS HSN-CN.1-9(+). Skill statement in this prompt cell: Given a matrix, determine its determinant and whether it is invertible, and select the correct inverse (when it exists). Associated standards listed with this skill in this prompt cell: CCSS HSN-CN.1-9(+); CCSS HSN-VM.1-12(+); SMP 2,4,5,7,8; AP Precalculus CED Unit 4; TX §111.42(c)(3)(I-K); FL MA.912.NSO.2.2-2.5, MA.912.NSO.3; VA MA.AG.3-5. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.143 Use Matrices to Represent Rotations and Dilations - Use Matrices to Represent Rotations and Dilations

Pre-CAL.144 Solve Linear Systems Using Gaussian Elimination - Solve Linear Systems Using Gaussian Elimination

Pre-CAL.145 Sequence Notation and the Function View of Sequences - Sequence Notation and the Function View of Sequences

Pre-CAL.146 Arithmetic Sequences in Recursive and Explicit Forms - Arithmetic Sequences in Recursive and Explicit Forms

Pre-CAL.147 Geometric Sequences in Recursive and Explicit Forms - Geometric Sequences in Recursive and Explicit Forms

Pre-CAL.148 Summation Notation and Finite Series - Summation Notation and Finite Series

Pre-CAL.149 Arithmetic Series Sum Formula - Arithmetic Series Sum Formula

Pre-CAL.150 Geometric Series Sum Formula for Finite and Infinite Series - Geometric Series Sum Formula for Finite and Infinite Series

Pre-CAL.151 Applications of Sequences and Series - Applications of Sequences and Series

Pre-CAL.152 Binomial Theorem and Combinatorial Coefficients - Binomial Theorem and Combinatorial Coefficients

Pre-CAL.153 Determine the nth Term from a Pattern or Table - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.3. Skill statement in this prompt cell: Given a sequence pattern or table, determine the explicit formula for the nth term and select the correct expression. Associated standards listed with this skill in this prompt cell: CCSS HSF-IF.3; CCSS HSF-BF.2; CCSS HSF-LE.2; CCSS HSA-APR.5(+); SMP 1,2,4,7,8; AP Precalculus CED Unit 2; TX §111.42(c)(5)(A); FL MA.912.AR.10.1-10.5; VA MA.FR.3. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.154 Determine Common Difference or Common Ratio from Data - Determine Common Difference or Common Ratio from Data

Pre-CAL.155 Convert Between Explicit and Recursive Definitions - Convert Between Explicit and Recursive Definitions

Pre-CAL.156 Determine Whether an Infinite Geometric Series Converges - Determine Whether an Infinite Geometric Series Converges

Pre-CAL.157 Use Sigma Notation to Rewrite and Evaluate Sums - Use Sigma Notation to Rewrite and Evaluate Sums

Pre-CAL.158 Apply Sequences to Savings and Loan Contexts - Apply Sequences to Savings and Loan Contexts

Pre-CAL.159 Use Binomial Coefficients and Pascal's Triangle - Use Binomial Coefficients and Pascal's Triangle

Pre-CAL.160 Estimate Series Sums and Compare to Models Using Technology - Estimate Series Sums and Compare to Models Using Technology

Pre-CAL.161 Collect and Organize Data for Modeling - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given a modeling question, select an appropriate data collection plan and determine which table or graph best represents the data with correct units. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.162 Scatterplots, Correlation, and Causation - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given a scatterplot and context, determine the direction and strength of association and select statements that correctly address correlation versus causation. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.163 Regression and Model Selection - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given data and regression outputs, determine which model best fits and select evidence (such as residuals or context constraints) that supports the choice. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.164 Residuals and Goodness of Fit - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given a residual plot or summary, determine whether the model is appropriate and select the interpretation that correctly uses residual evidence. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.165 Simulation and Sampling to Support Modeling - Simulation and Sampling to Support Modeling

Pre-CAL.166 Counting Principles, Permutations, and Combinations - Counting Principles, Permutations, and Combinations

Pre-CAL.167 Probability Rules, Independence, and Conditional Probability - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given a probability scenario or table, determine conditional probabilities and select whether events are independent using correct calculations. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.168 Expected Value and Risk in Context - Expected Value and Risk in Context

Pre-CAL.169 Normal Distribution and Standardization - Normal Distribution and Standardization

Pre-CAL.170 Communicating Statistical and Modeling Conclusions - Communicating Statistical and Modeling Conclusions

Pre-CAL.171 Interpret Parameters and Units in Regression Output - Interpret Parameters and Units in Regression Output

Pre-CAL.172 Use Technology to Create Residual Plots and Compare Models - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given technology-generated residual plots for two models, determine which model is better supported and select evidence from the plots. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.173 Use Venn Diagrams and Two-Way Tables for Probability - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given a two-way table or Venn diagram, determine probabilities for unions, intersections, and conditional events and select the correct computed values. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.174 Apply Bayes' Theorem in Simple Contexts - Apply Bayes' Theorem in Simple Contexts

Pre-CAL.175 Use Binomial and Geometric Distributions - Use Binomial and Geometric Distributions

Pre-CAL.176 Use the Normal Distribution to Find Probabilities and Percentiles - Use the Normal Distribution to Find Probabilities and Percentiles

Pre-CAL.177 Create and Interpret Confidence Intervals - Create and Interpret Confidence Intervals

Pre-CAL.178 Recognize Bias and Limitations in Data Collection - Recognize Bias and Limitations in Data Collection

Pre-CAL.179 Distinguish Interpolation and Extrapolation and Apply Constraints - Distinguish Interpolation and Extrapolation and Apply Constraints

Pre-CAL.180 Write a Clear Modeling Report with Assumptions and Limitations - Write a Clear Modeling Report with Assumptions and Limitations

Pre-CAL.181 Concept of Limit from Tables and Graphs - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given a table or graph near a point, determine the limit value (if it exists) and select the correct statement about the behavior as x approaches the point. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.182 One-Sided and Two-Sided Limits and Discontinuities - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given a graph or piecewise definition, determine left-hand and right-hand limits and select whether the two-sided limit exists. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.183 Continuity and Types of Discontinuity - Continuity and Types of Discontinuity

Pre-CAL.184 Average and Instantaneous Rate of Change and Tangent Lines - Average and Instantaneous Rate of Change and Tangent Lines

Pre-CAL.185 Intro to the Derivative as Slope and Rate - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given a graph or context, select the statement that correctly interprets the derivative as slope or instantaneous rate of change at a specific point. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.186 Accumulation as Area and Riemann Sums - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given a graph or table and a partition, determine an approximate accumulated value using a Riemann-sum setup and select the correct interpretation with units. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.187 Estimate Limits Numerically Using Tables - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given a table of values approaching a point, determine the best estimate of the limit or select that the limit does not exist. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.188 Estimate Limits Graphically Using Zoom and Trace - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given a graph and zoomed views, determine the best limit estimate and select the evidence from the graph that supports the estimate. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.189 Identify Removable, Jump, and Infinite Discontinuities - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given a graph or equation, determine the discontinuity type at a point and select the correct description of the limit behavior there. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.190 Use Secant Slopes Over Shrinking Intervals - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given points on a graph or function values, determine secant slopes over shrinking intervals and select the best approximation of the tangent slope. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.191 Use Local Linear Approximation in Simple Settings - Use Local Linear Approximation in Simple Settings

Pre-CAL.192 Interpret Area Under a Curve in Context - Primary standard selected for prompt fields in this prompt cell: SMP 1,2,4,5,8. Skill statement in this prompt cell: Given a contextual graph and a region, determine what the area represents and select the correct interpretation including sign and units. Associated standards listed with this skill in this prompt cell: SMP 1,2,4,5,8; VA MA.CF.2-3; NCTM CCHS. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.193 Make Sense of Problems and Persevere in Solving Them - Primary standard selected for prompt fields in this prompt cell: SMP 1-8. Skill statement in this prompt cell: Given a problem situation, select the most appropriate strategy and determine the next logical step that advances the solution accurately. Associated standards listed with this skill in this prompt cell: SMP 1-8; NCTM PtA; ISTE 1.1-1.6; AASL Standards Framework; TX §111.42(c)(1); FL MA.K12.MTR.1.1-7.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Pre-CAL.194 Reason Quantitatively and Use Units and Precision - Reason Quantitatively and Use Units and Precision

Pre-CAL.195 Construct and Critique Mathematical Arguments - Construct and Critique Mathematical Arguments

Pre-CAL.196 Use Tools and Technology Strategically - Use Tools and Technology Strategically

Pre-CAL.197 Model with Mathematics and Evaluate Results - Model with Mathematics and Evaluate Results

Pre-CAL.198 Communicate and Collaborate on Mathematical Ideas - Communicate and Collaborate on Mathematical Ideas

Pre-CAL.199 Use Structure to Simplify Expressions and Solve Efficiently - Use Structure to Simplify Expressions and Solve Efficiently

Pre-CAL.200 Look for Repeated Reasoning and Generalize - Look for Repeated Reasoning and Generalize

Pre-CAL.201 Verify Solutions and Assess Reasonableness - Verify Solutions and Assess Reasonableness

Pre-CAL.202 Use Appropriate Digital Tools and Cite Data Sources - Use Appropriate Digital Tools and Cite Data Sources

Pre-CAL.203 Create Multi-Representation Explanations - Create Multi-Representation Explanations

Pre-CAL.204 Work Productively in Teams and Reflect on Feedback - Work Productively in Teams and Reflect on Feedback