Calculus I - Select a Category
Foundations for Calculus
CAL1.1 Function Notation and Evaluation - Select the correct value or interpretation of function notation (including f(x+h) and f(a)) using a given formula, table, or graph, including the appropriate domain. (CCSS.HSF.IF.1–2; CCSS.HSF.IF.4–5; CCSS.MP2, MP6)
CAL1.2 Graphing and Interpreting Parent Functions — Choose the correct graph or feature (intercepts, asymptotes, end behavior) for a given parent function family or equation. Standards: CCSS.HSF.IF.4–7; CCSS.HSF.BF.3; CCSS.MP2, MP4, MP6.
CAL1.3 Transformations of Functions - Identify the transformation(s) or select the resulting graph/equation when a function is shifted, stretched, or reflected. (CCSS.HSF.BF.3; CCSS.HSF.IF.7; CCSS.MP2, MP7)
CAL1.4 Piecewise Functions and Real-World Constraints — Select the correct output, interval rule, or model for a piecewise function given a context or graph, including which piece applies. (CCSS.HSF.IF.1–3; CCSS.HSM; CCSS.MP1, MP4, MP6)
CAL1.5 Function Composition - Internal Calculus 1 skill focused on Function Composition within Foundations for Calculus.
CAL1.6 Inverse Functions and Inverse Relationships - Primary standard selected for prompt fields in this prompt cell: CCSS HSF.BF.4a–b. Skill statement in this prompt cell: Choose the correct inverse function, the correct domain restriction for invertibility, or the correct verification statement using composition/graphs. Associated standards listed with this skill in this prompt cell: CCSS.HSF.BF.4a–b; CCSS.HSF.IF.4; CCSS.MP2, MP7. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.7 Algebraic Simplification for Calculus - Internal Calculus 1 skill focused on Algebraic Simplification for Calculus within Foundations for Calculus.
CAL1.8 Solving Equations and Inequalities in Calculus Contexts - Internal Calculus 1 skill focused on Solving Equations and Inequalities in Calculus Contexts within Foundations for Calculus.
CAL1.9 Exponents, Radicals, and Rational Powers - Internal Calculus 1 skill focused on Exponents, Radicals, and Rational Powers within Foundations for Calculus.
CAL1.10 Logarithms and Exponentials as Inverses - Internal Calculus 1 skill focused on Logarithms and Exponentials as Inverses within Foundations for Calculus.
CAL1.11 Radian Measure and the Unit Circle - Primary standard selected for prompt fields in this prompt cell: CCSS HSF.TF.1–2. Skill statement in this prompt cell: Select the correct radian measure, unit-circle value, or statement explaining why radians are required for standard trig derivatives/integrals. Associated standards listed with this skill in this prompt cell: CCSS.HSF.TF.1–2; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.12 Trigonometric Identities and Equations - Internal Calculus 1 skill focused on Trigonometric Identities and Equations within Foundations for Calculus.
CAL1.13 Average Rate of Change and Secant Slopes - Primary standard selected for prompt fields in this prompt cell: CCSS HSF.IF.6. Skill statement in this prompt cell: Choose the correct average rate of change or secant slope from a representation and select the correct interpretation with units. Associated standards listed with this skill in this prompt cell: CCSS.HSF.IF.6; CCSS.HSN.Q.1–3; CCSS.MP2, MP4, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.14 Coordinate Geometry for Calculus - Internal Calculus 1 skill focused on Coordinate Geometry for Calculus within Foundations for Calculus.
CAL1.15 Modeling with Units and Dimensional Analysis - Internal Calculus 1 skill focused on Modeling with Units and Dimensional Analysis within Foundations for Calculus.
Foundations for Calculus — Micro Skills
CAL1.16 Domain and Range in Advanced Contexts - Internal Calculus 1 skill focused on Domain and Range in Advanced Contexts within Foundations for Calculus.
CAL1.17 Asymptotes and Holes in Rational Functions - Primary standard selected for prompt fields in this prompt cell: CCSS HSF.IF.7. Skill statement in this prompt cell: Choose the correct asymptote(s) or removable discontinuity (hole) for a rational function given its equation or graph. Associated standards listed with this skill in this prompt cell: CCSS.HSF.IF.7; CCSS.HSA.APR.6; CCSS.MP2, MP7. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.18 Interpreting Graph Features with Precision - Primary standard selected for prompt fields in this prompt cell: CCSS MP6. Skill statement in this prompt cell: Select the correct statement about a graph's key features (values, open/closed points, gaps, trends, asymptotes). Associated standards listed with this skill in this prompt cell: CCSS.MP6; CCSS.MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.19 Strategic Use of Graphing Technology - Primary standard selected for prompt fields in this prompt cell: CCSS MP5. Skill statement in this prompt cell: Select the correct technology-based output or interpretation (window choice, trace value, intersection, zero) for a given graphing task. Associated standards listed with this skill in this prompt cell: CCSS.MP5; ISTE 5; Integrated Calculus Standards CALC.MTD.2. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.20 Exact Values and Approximation - Internal Calculus 1 skill focused on Exact Values and Approximation within Foundations for Calculus.
CAL1.21 Algebraic Structure Spotting - Internal Calculus 1 skill focused on Algebraic Structure Spotting within Foundations for Calculus.
CAL1.22 Reading and Writing Mathematical Statements - Internal Calculus 1 skill focused on Reading and Writing Mathematical Statements within Foundations for Calculus.
CAL1.23 Model Assumptions and Reasonableness - Internal Calculus 1 skill focused on Model Assumptions and Reasonableness within Foundations for Calculus.
Limits and Continuity
CAL1.24 Concept of a Limit and Function Behavior - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.1. Skill statement in this prompt cell: Select the correct description of a limit and choose whether a limit equals the function value, using a given representation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.1; FL MA.912.C.1.1; AP Calculus AB Unit 1; CCSS.MP2, MP3. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.25 Estimating Limits from Graphs - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.1. Skill statement in this prompt cell: Choose the correct two-sided or one-sided limit value (or select that it does not exist) from a given graph. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.1; FL MA.912.C.1.1, MA.912.C.1.4, MA.912.C.1.6; AP Calculus AB Unit 1; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.26 Estimating Limits from Tables and Numeric Data - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.1. Skill statement in this prompt cell: Select the best estimate of a limit from a table or dataset, including whether the limit exists. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.1; FL MA.912.C.1.1; AP Calculus AB Unit 1; CCSS.MP2, MP5, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.27 Determining Whether a Limit Exists - Internal Calculus 1 skill focused on Determining Whether a Limit Exists within Limits and Continuity.
CAL1.28 Applying Limit Laws for Sums, Differences, and Products - Internal Calculus 1 skill focused on Applying Limit Laws for Sums, Differences, and Products within Limits and Continuity.
CAL1.29 Applying Limit Laws for Quotients, Powers, and Roots - Internal Calculus 1 skill focused on Applying Limit Laws for Quotients, Powers, and Roots within Limits and Continuity.
CAL1.30 Direct Substitution for Polynomials and Rational Functions - Internal Calculus 1 skill focused on Direct Substitution for Polynomials and Rational Functions within Limits and Continuity.
CAL1.31 Limits Requiring Factoring and Canceling - Internal Calculus 1 skill focused on Limits Requiring Factoring and Canceling within Limits and Continuity.
CAL1.32 Limits Requiring Rationalization with Conjugates - Internal Calculus 1 skill focused on Limits Requiring Rationalization with Conjugates within Limits and Continuity.
CAL1.33 Limits Involving Absolute Value and Piecewise Definitions - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.2. Skill statement in this prompt cell: Select the correct limit value for an absolute value or piecewise function by comparing one-sided behavior. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.2; FL MA.912.C.1.2; AP Calculus AB Unit 1; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.34 Limits Involving Trigonometric Functions - Internal Calculus 1 skill focused on Limits Involving Trigonometric Functions within Limits and Continuity.
CAL1.35 The Squeeze Theorem - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.2. Skill statement in this prompt cell: Select the correct conclusion about a limit using the Squeeze Theorem given appropriate bounding information. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.2; FL MA.912.C.1.7; AP Calculus AB Unit 1; CCSS.MP3. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.36 Limits at Infinity and End Behavior - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.5. Skill statement in this prompt cell: Choose the correct end behavior, horizontal asymptote, or limit at infinity for a given function or graph. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.5; FL MA.912.C.1.5; AP Calculus AB Unit 1; CCSS.MP2, MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.37 Infinite Limits and Vertical Asymptotes - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.5. Skill statement in this prompt cell: Select whether a limit approaches positive or negative infinity (or does not exist) near a vertical asymptote using a graph or equation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.5; FL MA.912.C.1.6; AP Calculus AB Unit 1; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.38 Continuity at a Point and on an Interval - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.3. Skill statement in this prompt cell: Select whether a function is continuous at a point or on an interval, including the correct justification condition from the definition. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.3; FL MA.912.C.1.9, MA.912.C.1.10; AP Calculus AB Unit 1; CCSS.MP3, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.39 Types of Discontinuities - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.3. Skill statement in this prompt cell: Choose the correct type of discontinuity (removable, jump, infinite) for a given graph or function description. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.3; FL MA.912.C.1.10; AP Calculus AB Unit 1; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.40 Creating a Continuous Piecewise Function - Internal Calculus 1 skill focused on Creating a Continuous Piecewise Function within Limits and Continuity.
CAL1.41 Intermediate Value Theorem in Context - Internal Calculus 1 skill focused on Intermediate Value Theorem in Context within Limits and Continuity.
Limits and Continuity — Micro Skills
CAL1.42 Selecting an Appropriate Limit Strategy - Internal Calculus 1 skill focused on Selecting an Appropriate Limit Strategy within Limits and Continuity.
CAL1.43 One-Sided Limits and Endpoint Behavior - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.LC.2. Skill statement in this prompt cell: Choose the correct left-hand or right-hand limit value (or determine it does not exist) from a graph, table, or expression. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.2; FL MA.912.C.1.4; AP Calculus AB Unit 1; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.44 Using Equivalent Expressions to Evaluate Limits - Internal Calculus 1 skill focused on Using Equivalent Expressions to Evaluate Limits within Limits and Continuity.
CAL1.45 Estimating Limits with Technology - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.2. Skill statement in this prompt cell: Select the best technology-based estimate of a limit and the best explanation for any observed approximation error. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.2; AP Calculus AB Unit 1; CCSS.MP5, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.46 Formal Continuity Checks for Composite Functions - Internal Calculus 1 skill focused on Formal Continuity Checks for Composite Functions within Limits and Continuity.
CAL1.47 Limit Notation and Communication - Internal Calculus 1 skill focused on Limit Notation and Communication within Limits and Continuity.
CAL1.48 Reasoning About Existence Without Exact Values - Integrated Calculus Standards CALC.LC.1. Skill statement in this prompt cell: Select whether a limit exists based on conceptual evidence (oscillation, one-sided mismatch, or unbounded behavior) without computing an exact value. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.LC.1; AP Calculus AB Unit 1; CCSS.MP3. Use this prompt-provided wording as the supporting standard description for this workflow.
Differentiation: Definition and Rules
CAL1.49 Derivative as a Limit of Average Rate of Change - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.DR.1. Skill statement in this prompt cell: Select the correct derivative definition statement and identify the correct difference quotient or interpretation for a given situation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.DR.1; FL MA.912.C.2.1, MA.912.C.2.2; AP Calculus AB Unit 2; CCSS.MP2, MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.50 Difference Quotients and Rates of Change - Internal Calculus 1 skill focused on Difference Quotients and Rates of Change within Differentiation: Definition and Rules.
CAL1.51 Finding Derivatives Using the Definition - Internal Calculus 1 skill focused on Finding Derivatives Using the Definition within Differentiation: Definition and Rules.
CAL1.52 Interpreting and Finding Tangent Line Slopes - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.DR.1. Skill statement in this prompt cell: Select the correct tangent slope (or the correct sign/interpretation of the slope) for a given graph or function at a point. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.DR.1; FL MA.912.C.2.2; AP Calculus AB Unit 2; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.53 Equations of Tangent and Normal Lines - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.DR.1. Skill statement in this prompt cell: Select the correct equation of a tangent or normal line at a point, including the correct slope and point substitution. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.DR.1; FL MA.912.C.3.2; AP Calculus AB Unit 2; CCSS.MP4, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.54 Derivative Notation and Multiple Representations - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.4. Skill statement in this prompt cell: Select the correct derivative notation or match a symbolic derivative to the correct graphical or numerical representation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.4; AP Calculus AB Unit 2; CCSS.MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.55 Linearity Rules for Derivatives - Internal Calculus 1 skill focused on Linearity Rules for Derivatives within Differentiation: Definition and Rules.
CAL1.56 Power Rule for Rational Exponents - Internal Calculus 1 skill focused on Power Rule for Rational Exponents within Differentiation: Definition and Rules.
CAL1.57 Product Rule - Internal Calculus 1 skill focused on Product Rule within Differentiation: Definition and Rules.
CAL1.58 Quotient Rule - Internal Calculus 1 skill focused on Quotient Rule within Differentiation: Definition and Rules.
CAL1.59 Chain Rule for Composite Functions - Internal Calculus 1 skill focused on Chain Rule for Composite Functions within Differentiation: Definition and Rules.
CAL1.60 Derivatives of Trigonometric Functions - Internal Calculus 1 skill focused on Derivatives of Trigonometric Functions within Differentiation: Definition and Rules.
CAL1.61 Derivatives of Exponential Functions - Internal Calculus 1 skill focused on Derivatives of Exponential Functions within Differentiation: Definition and Rules.
CAL1.62 Derivatives of Logarithmic Functions - Internal Calculus 1 skill focused on Derivatives of Logarithmic Functions within Differentiation: Definition and Rules.
CAL1.63 Implicit Differentiation - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.DR.5. Skill statement in this prompt cell: Select the correct expression for dy/dx (or the slope at a point) found via implicit differentiation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.DR.5; FL MA.912.C.2.6; AP Calculus AB Unit 3; CCSS.MP2, MP7. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.64 Derivatives of Inverse Functions and Inverse Trigonometric Functions - Internal Calculus 1 skill focused on Derivatives of Inverse Functions and Inverse Trigonometric Functions within Differentiation: Definition and Rules.
CAL1.65 Logarithmic Differentiation - Internal Calculus 1 skill focused on Logarithmic Differentiation within Differentiation: Definition and Rules.
CAL1.66 Higher-Order Derivatives - Internal Calculus 1 skill focused on Higher-Order Derivatives within Differentiation: Definition and Rules.
CAL1.67 Differentiability and Non-Differentiable Points - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.DR.2. Skill statement in this prompt cell: Select whether a function is differentiable at a point and choose the correct reason (corner, cusp, discontinuity, vertical tangent). Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.DR.2; FL MA.912.C.2.9; AP Calculus AB Unit 2; CCSS.MP3, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
Differentiation: Definition and Rules — Micro Skills
CAL1.68 Simplify Before Differentiating - Internal Calculus 1 skill focused on Simplify Before Differentiating within Differentiation: Definition and Rules.
CAL1.69 Derivative Rules for Piecewise and Absolute Value Functions - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.DR.2. Skill statement in this prompt cell: Select the correct derivative expression for a piecewise or absolute value function and identify any point(s) of non-differentiability. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.DR.2; AP Calculus AB Unit 2-3; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.70 Units and Interpretation for Derivative Values - Internal Calculus 1 skill focused on Units and Interpretation for Derivative Values within Differentiation: Definition and Rules.
CAL1.71 Estimating Derivatives from Tables and Graphs - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.DR.1. Skill statement in this prompt cell: Choose the best numerical estimate of a derivative from a table or graph, including an appropriate step size justification. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.DR.1; AP Calculus AB Unit 2; CCSS.MP2, MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.72 Detecting When Chain Rule Applies - Internal Calculus 1 skill focused on Detecting When Chain Rule Applies within Differentiation: Definition and Rules.
CAL1.73 Implicit Differentiation for Related Variables - Internal Calculus 1 skill focused on Implicit Differentiation for Related Variables within Differentiation: Definition and Rules.
CAL1.74 Checking Derivatives with Technology and Reasonableness - Integrated Calculus Standards CALC.MTD.2. Skill statement: Select the derivative expression that best matches the given graph or technology output, including sign and key-feature checks. Associated standards: Integrated Calculus Standards CALC.MTD.2; CCSS.MP5, MP6.
CAL1.75 Derivative Vocabulary and Notation Precision - Internal Calculus 1 skill focused on Derivative Vocabulary and Notation Precision within Differentiation: Definition and Rules.
Applications of Derivatives
CAL1.76 Mean Value Theorem and Rolle's Theorem - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.3–AD.4. Skill statement in this prompt cell: Select the correct conclusion or value guaranteed by the Mean Value Theorem or Rolle’s Theorem, including verifying the hypotheses. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.3–AD.4; FL MA.912.C.2.10; AP Calculus AB Unit 5; CCSS.MP3. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.77 Critical Points and Derivative Zeros - Internal Calculus 1 skill focused on Critical Points and Derivative Zeros within Applications of Derivatives.
CAL1.78 Increasing and Decreasing Intervals - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.4. Skill statement in this prompt cell: Choose the correct interval(s) where a function increases or decreases using a sign chart or derivative information. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.4; FL MA.912.C.3.3; AP Calculus AB Unit 5; CCSS.MP2. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.79 First Derivative Test for Local Extrema - Integrated Calculus Standards CALC.AD.4. Skill statement in this prompt cell: Select the correct classification (local maximum, local minimum, neither) using the First Derivative Test based on a sign chart or graph. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.4; AP Calculus AB Unit 5; CCSS.MP7. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.80 Concavity and Points of Inflection - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.5. Skill statement in this prompt cell: Select the correct concavity intervals and the correct inflection point(s) using second-derivative information and concavity-change checks. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.5; FL MA.912.C.3.5; AP Calculus AB Unit 5; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.81 Second Derivative Test for Extrema - Internal Calculus 1 skill focused on Second Derivative Test for Extrema within Applications of Derivatives.
CAL1.82 Graphing Functions Using Derivative Information - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.4-AD.5. Skill statement in this prompt cell: Select the correct graph (or key features of the graph) that match the given first and second derivative information. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.4-AD.5; FL MA.912.C.3.6; AP Calculus AB Unit 5; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.83 Connecting Graphs of a Function and Its Derivatives - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.4–AD.5. Skill statement in this prompt cell: Choose the graph of f', or f'', that corresponds to a given graph of f (or vice versa) using slope and concavity cues. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.4–AD.5; FL MA.912.C.3.6; AP Calculus AB Unit 5; CCSS.MP2. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.84 Absolute Extrema on a Closed Interval - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.3. Skill statement in this prompt cell: Select the absolute maximum and minimum values on a closed interval by evaluating endpoints and critical points. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.3; FL MA.912.C.1.11, MA.912.C.3.4; AP Calculus AB Unit 5; CCSS.MP3. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.85 Optimization Modeling and Constraints - Internal Calculus 1 skill focused on Optimization Modeling and Constraints within Applications of Derivatives.
CAL1.86 Optimization in Geometry and Design Contexts - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.6. Skill statement in this prompt cell: Select the correct maximum or minimum value for a geometric optimization problem, including the correct dimensions that achieve it. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.6; FL MA.912.C.3.7; AP Calculus AB Unit 5; CCSS.HSM; CCSS.MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.87 Related Rates Setup and Solution - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.2. Skill statement in this prompt cell: Select the correctly differentiated related-rates equation and the correct rate value after substituting given information. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.2; FL MA.912.C.3.10; AP Calculus AB Unit 4; CCSS.MP1, MP4, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.88 Motion Analysis with Derivatives - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.1. Skill statement in this prompt cell: Select the correct motion conclusion (direction, speeding up, slowing down) based on position, velocity, or acceleration information. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.1; FL MA.912.C.3.8-3.9; AP Calculus AB Unit 4; CCSS.HSN.Q; CCSS.MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.89 Linear Approximation and Local Linearity - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.6. Skill statement in this prompt cell: Select the best linear approximation for a value near a point and choose the correct estimate produced by the tangent-line model. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.6; FL MA.912.C.3.2; AP Calculus AB Unit 5; CCSS.MP2, MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.90 Differentials and Error Estimation - Internal Calculus 1 skill focused on Differentials and Error Estimation within Applications of Derivatives.
CAL1.91 L'Hôpital's Rule for Indeterminate Forms - Internal Calculus 1 skill focused on L'Hôpital's Rule for Indeterminate Forms within Applications of Derivatives.
CAL1.92 Newton's Method for Approximating Roots - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.2. Skill statement in this prompt cell: Select the next Newton’s Method iterate (or the correct approximate root after iterations) given an initial guess and function information. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.2; AP Calculus AB Unit 5; CCSS.MP1, MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
Applications of Derivatives — Micro Skills
CAL1.93 Building and Using Sign Charts - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.4-AD.5. Skill statement in this prompt cell: Select the correct sign chart and the correct interval conclusions (increasing/decreasing, concave up/down) based on derivative factors. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.4-AD.5; CCSS.MP7. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.94 Justifying Theorem Conditions - Internal Calculus 1 skill focused on Justifying Theorem Conditions within Applications of Derivatives.
CAL1.95 Interpreting Derivatives in Real Data - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.3. Skill statement in this prompt cell: Choose the best estimate of an instantaneous rate from discrete data and select the best statement about limitations or error. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.3; CCSS.HSS.ID; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.96 Choosing the Best Optimization Variable - Internal Calculus 1 skill focused on Choosing the Best Optimization Variable within Applications of Derivatives.
CAL1.97 Interpreting Related Rates Diagrams - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AD.2. Skill statement in this prompt cell: Select the correctly labeled related-rates diagram or the correct identification of which rates/values are known at the described instant. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AD.2; CCSS.MP4, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.98 Reasonableness Checks for Calculus Answers - Internal Calculus 1 skill focused on Reasonableness Checks for Calculus Answers within Applications of Derivatives.
Integration and Accumulation of Change
CAL1.99 Antiderivatives and the Constant of Integration - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.IA.1. Skill statement in this prompt cell: Select the correct general antiderivative (including the constant of integration) for a given derivative function. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.IA.1; AP Calculus AB Unit 6; CCSS.MP7, MP8. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.100 Indefinite Integrals of Common Function Families - Internal Calculus 1 skill focused on Indefinite Integrals of Common Function Families within Integration and Accumulation of Change.
CAL1.101 Finding a Particular Antiderivative from Initial Conditions - Internal Calculus 1 skill focused on Finding a Particular Antiderivative from Initial Conditions within Integration and Accumulation of Change.
CAL1.102 Riemann Sums as Accumulation - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.IA.2. Skill statement in this prompt cell: Select the correct Riemann-sum approximation (left, right, or midpoint) and interpret what the sum represents in context. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.IA.2; FL MA.912.C.4.1; AP Calculus AB Unit 6; CCSS.MP2, MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.103 Trapezoidal Rule and Numerical Integration - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.IA.2. Skill statement in this prompt cell: Select the correct Trapezoidal Rule approximation for a definite integral and choose the best comparison statement about accuracy or error. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.IA.2; FL MA.912.C.4.2; AP Calculus AB Unit 6; CCSS.MP5, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.104 Definite Integral as a Limit of Riemann Sums - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.IA.3. Skill statement in this prompt cell: Select the correct interpretation of a definite integral as a limit of Riemann sums and as net accumulation over an interval. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.IA.3; FL MA.912.C.4.1; AP Calculus AB Unit 6; CCSS.MP2, MP3. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.105 Net Area and Signed Area - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.IA.2. Skill statement in this prompt cell: Select the correct value of a definite integral from a graph, including correct use of signed areas. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.IA.2; FL MA.912.C.4.2; AP Calculus AB Unit 6; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.106 Fundamental Theorem of Calculus Part 1 - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.IA.3. Skill statement in this prompt cell: Select the correct derivative of an accumulation function defined by a definite integral (with variable upper limit). Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.IA.3; FL MA.912.C.4.3; AP Calculus AB Unit 6; CCSS.MP2, MP7. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.107 Fundamental Theorem of Calculus Part 2 (Evaluating Integrals) - Internal Calculus 1 skill focused on Fundamental Theorem of Calculus Part 2 within Integration and Accumulation of Change.
CAL1.108 Properties of Definite Integrals - Internal Calculus 1 skill focused on Properties of Definite Integrals within Integration and Accumulation of Change.
CAL1.109 Substitution for Indefinite Integrals - Internal Calculus 1 skill focused on Substitution for Indefinite Integrals within Integration and Accumulation of Change.
CAL1.110 Substitution for Definite Integrals - Internal Calculus 1 skill focused on Substitution for Definite Integrals within Integration and Accumulation of Change.
CAL1.111 Integrals from Graphs and Tables - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.IA.2. Skill statement in this prompt cell: Select the best evaluation or approximation of a definite integral using a graph or a table, including the correct method choice. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.IA.2; FL MA.912.C.4.2; AP Calculus AB Unit 6; CCSS.MP2, MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.112 Accumulation and Net Change in Context - Internal Calculus 1 skill focused on Accumulation and Net Change in Context within Integration and Accumulation of Change.
CAL1.113 Separable Differential Equations - Internal Calculus 1 skill focused on Separable Differential Equations within Integration and Accumulation of Change.
CAL1.114 Exponential Growth and Decay Differential Equations - Internal Calculus 1 skill focused on Exponential Growth and Decay Differential Equations within Integration and Accumulation of Change.
CAL1.115 Slope Fields and Solution Curves - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.IA.5. Skill statement in this prompt cell: Select the correct slope field interpretation or the correct solution curve passing through a given initial condition. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.IA.5; FL MA.912.C.5.4; AP Calculus AB Unit 7; CCSS.MP2, MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.116 Initial Value Problems and Modeling Decisions - Internal Calculus 1 skill focused on Initial Value Problems and Modeling Decisions within Integration and Accumulation of Change.
Integration and Accumulation of Change — Micro Skills
CAL1.117 Setting Up Riemann Sums from Descriptions - Internal Calculus 1 skill focused on Setting Up Riemann Sums from Descriptions within Integration and Accumulation of Change.
CAL1.118 Choosing a Numerical Integration Method - Internal Calculus 1 skill focused on Choosing a Numerical Integration Method within Integration and Accumulation of Change.
CAL1.119 Interpreting Integrals of Velocity and Acceleration - Integrated Calculus Standards CALC.AI.1. Skill statement: Select the correct displacement, total distance, velocity change, or position function given velocity or acceleration information. Associated standards listed with this skill: Integrated Calculus Standards CALC.AI.1; FL MA.912.C.5.1; AP Calculus AB Unit 6-7; CCSS.MP4.
CAL1.120 Substitution Pattern Recognition - Internal Calculus 1 skill focused on Substitution Pattern Recognition within Integration and Accumulation of Change.
CAL1.121 Checking Integrals by Differentiation - Internal Calculus 1 skill focused on Checking Integrals by Differentiation within Integration and Accumulation of Change.
CAL1.122 Communicating Accumulation with Units and Sentences - Internal Calculus 1 skill focused on Communicating Accumulation with Units and Sentences within Integration and Accumulation of Change.
Applications of Integrals
CAL1.123 Net Change and Accumulation Theorems in Context - Internal Calculus 1 skill focused on Net Change and Accumulation Theorems in Context within Applications of Integrals.
CAL1.124 Total Distance Versus Displacement - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.1. Skill statement in this prompt cell: Select the correct displacement or total distance based on a velocity graph or function, including splitting at sign changes. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.1; AP Calculus AB Unit 8; CCSS.MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.125 Area Between a Curve and the x-Axis - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.2. Skill statement in this prompt cell: Select the correct area between a curve and the x-axis using definite integrals, including appropriate handling of negative regions. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.2; FL MA.912.C.5.5; AP Calculus AB Unit 8; CCSS.MP2. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.126 Area Between Two Curves - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.2. Skill statement in this prompt cell: Select the correct integral setup (bounds and integrand) for the area between two curves, then select the correct computed area. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.2; FL MA.912.C.5.5; AP Calculus AB Unit 8; CCSS.MP2, MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.127 Average Value of a Function - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.2. Skill statement in this prompt cell: Select the correct average value of a function on an interval and choose the correct interpretation of that average. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.2; FL MA.912.C.5.6; AP Calculus AB Unit 8; CCSS.MP2, MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.128 Volumes by Disk Method - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.3. Skill statement in this prompt cell: Select the correct disk-method integral setup and resulting volume for a described solid of revolution. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.3; FL MA.912.C.5.7; AP Calculus AB Unit 8; CCSS.HSM; CCSS.MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.129 Volumes by Washer Method - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.3. Skill statement in this prompt cell: Select the correct washer-method integral (outer radius minus inner radius squared) and the correct volume for a given region. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.3; FL MA.912.C.5.7; AP Calculus AB Unit 8; CCSS.HSM; CCSS.MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.130 Volumes by Shell Method - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.3. Skill statement in this prompt cell: Select the correct shell-method integral setup and the correct volume for a given region and axis of rotation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.3; AP Calculus AB Unit 8; CCSS.HSM; CCSS.MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.131 Volumes with Known Cross-Sections - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.3. Skill statement in this prompt cell: Select the correct cross-sectional area function and integral setup, then select the correct computed volume. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.3; FL MA.912.C.5.7; AP Calculus AB Unit 8; CCSS.HSM; CCSS.MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.132 Work Done by a Variable Force - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.5. Skill statement in this prompt cell: Select the correct work integral setup (and resulting value) for a variable-force situation, including correct units. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.5; AP Calculus AB Unit 8; CCSS.HSM; CCSS.MP4, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.133 Mass and Density in One Dimension - Internal Calculus 1 skill focused on Mass and Density in One Dimension within Applications of Integrals.
CAL1.134 Arc Length of a Smooth Curve - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.4. Skill statement in this prompt cell: Select the correct arc length integral setup for a smooth curve and choose the best method for evaluating it (exact or numerical). Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.4; AP Calculus Unit 8 extension; CCSS.MP8. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.135 Surface Area of Revolution - Integrated Calculus Standards CALC.AI.4. Skill statement: Select the correct surface area integral setup for a surface of revolution, including identifying radius and arc-length components. Associated standards: Integrated Calculus Standards CALC.AI.4; AP Calculus Unit 8 extension; CCSS.HSM; CCSS.MP4.
CAL1.136 Interpreting Units and Meaning in Integral Applications - Internal Calculus 1 skill focused on Interpreting Units and Meaning in Integral Applications within Applications of Integrals.
Applications of Integrals — Micro Skills
CAL1.137 Drawing and Labeling Regions for Integral Setup - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.2–AI.3. Skill statement in this prompt cell: Select the correctly labeled diagram or the correct bounds and radii derived from a diagram for an integral-application setup. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.2–AI.3; CCSS.MP4, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.138 Choosing Between Disk, Washer, and Shell Methods - Internal Calculus 1 skill focused on Choosing Between Disk, Washer, and Shell Methods within Applications of Integrals.
CAL1.139 Splitting Integrals at Intersections and Sign Changes - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.AI.1–AI.2. Skill statement in this prompt cell: Select the correct split points and the correct piecewise integral expression for a region or total-distance computation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.AI.1–AI.2; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.140 Checking Integral-Application Answers - Internal Calculus 1 skill focused on Checking Integral-Application Answers within Applications of Integrals.
Parametric, Polar, and Vector Functions
CAL1.141 Parametric Representations of Curves - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.PPV.1. Skill statement in this prompt cell: Select the correct graph, orientation, or point on a parametric curve for given parameter values. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.PPV.1; AP Calculus Unit 9; CCSS.MP2, MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.142 Eliminating the Parameter - Internal Calculus 1 skill focused on Eliminating the Parameter within Parametric, Polar, and Vector Functions.
CAL1.143 Derivatives for Parametric Curves - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.PPV.1. Skill statement in this prompt cell: Select the correct dy/dx value for a parametric curve at a given parameter value, including identifying vertical tangents. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.PPV.1; AP Calculus Unit 9; CCSS.MP2, MP7. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.144 Second Derivative for Parametric Curves - Internal Calculus 1 skill focused on Second Derivative for Parametric Curves within Parametric, Polar, and Vector Functions.
CAL1.145 Speed, Velocity, and Acceleration in Parametric Motion - Internal Calculus 1 skill focused on Speed, Velocity, and Acceleration in Parametric Motion within Parametric, Polar, and Vector Functions.
CAL1.146 Arc Length for Parametric Curves - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.PPV.1. Skill statement in this prompt cell: Select the correct parametric arc-length integral setup and the best method to evaluate it. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.PPV.1; AP Calculus Unit 9; CCSS.MP8. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.147 Polar Coordinates and Conversions - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.PPV.2. Skill statement in this prompt cell: Select the correct conversion between polar and Cartesian coordinates or choose the correct polar graph for a given equation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.PPV.2; AP Calculus Unit 9; CCSS.MP2. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.148 Slope of a Polar Curve - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.PPV.2. Skill statement in this prompt cell: Select the correct slope dy/dx for a polar curve at a given angle and identify whether the tangent is horizontal or vertical. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.PPV.2; AP Calculus Unit 9; CCSS.MP2, MP7. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.149 Area Enclosed by Polar Curves - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.PPV.2. Skill statement in this prompt cell: Select the correct integral setup (bounds and integrand) for polar area and choose the correct computed area. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.PPV.2; AP Calculus Unit 9; CCSS.MP4. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.150 Vector-Valued Functions in the Plane - Internal Calculus 1 skill focused on Vector-Valued Functions in the Plane within Parametric, Polar, and Vector Functions.
Parametric, Polar, and Vector Functions — Micro Skills
CAL1.151 Graph Features and Orientation for Parametric Curves - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.PPV.1. Skill statement in this prompt cell: Select the correct direction of motion and traced path for a parametric curve as the parameter increases. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.PPV.1; CCSS.MP2. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.152 Choosing Parameter Intervals and Avoiding Overcounting - Internal Calculus 1 skill focused on Choosing Parameter Intervals and Avoiding Overcounting within Parametric, Polar, and Vector Functions.
CAL1.153 Using Technology to Confirm Advanced Graphs - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.2. Skill statement in this prompt cell: Select the correct technology setting (parameter range or window) or output that confirms a parametric/polar analysis. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.2; CCSS.MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.154 Interpreting Units and Meaning in Parametric and Polar Contexts - Internal Calculus 1 skill focused on Interpreting Units and Meaning in Parametric and Polar Contexts within Parametric, Polar, and Vector Functions.
Infinite Sequences and Series
CAL1.155 Sequence Notation and Convergence - Internal Calculus 1 skill focused on Sequence Notation and Convergence within Infinite Sequences and Series.
CAL1.156 Sigma Notation and Partial Sums - Internal Calculus 1 skill focused on Sigma Notation and Partial Sums within Infinite Sequences and Series.
CAL1.157 Geometric Series and Convergence - Internal Calculus 1 skill focused on Geometric Series and Convergence within Infinite Sequences and Series.
CAL1.158 Harmonic Series and p-Series - Internal Calculus 1 skill focused on Harmonic Series and p-Series within Infinite Sequences and Series.
CAL1.159 Nth-Term Test for Divergence - Internal Calculus 1 skill focused on Nth-Term Test for Divergence within Infinite Sequences and Series.
CAL1.160 Comparison and Limit Comparison Tests - Internal Calculus 1 skill focused on Comparison and Limit Comparison Tests within Infinite Sequences and Series.
CAL1.161 Alternating Series Test and Error Bound - Internal Calculus 1 skill focused on Alternating Series Test and Error Bound within Infinite Sequences and Series.
CAL1.162 Ratio Test and Root Test - Internal Calculus 1 skill focused on Ratio Test and Root Test within Infinite Sequences and Series.
CAL1.163 Power Series and Radius of Convergence - Internal Calculus 1 skill focused on Power Series and Radius of Convergence within Infinite Sequences and Series.
CAL1.164 Taylor and Maclaurin Polynomials - Internal Calculus 1 skill focused on Taylor and Maclaurin Polynomials within Infinite Sequences and Series.
CAL1.165 Taylor Series and Function Representation - Internal Calculus 1 skill focused on Taylor Series and Function Representation within Infinite Sequences and Series.
CAL1.166 Error Estimation for Series Approximations - Internal Calculus 1 skill focused on Error Estimation for Series Approximations within Infinite Sequences and Series.
Infinite Sequences and Series — Micro Skills
CAL1.167 Selecting a Convergence Test - Internal Calculus 1 skill focused on Selecting a Convergence Test within Infinite Sequences and Series.
CAL1.168 Communicating Convergence Results Precisely - Internal Calculus 1 skill focused on Communicating Convergence Results Precisely within Infinite Sequences and Series.
CAL1.169 Endpoint Testing for Power Series - Internal Calculus 1 skill focused on Endpoint Testing for Power Series within Infinite Sequences and Series.
CAL1.170 Technology and Approximation for Series - Integrated Calculus Standards CALC.MTD.2. Skill statement: Select the series approximation output that best matches a required accuracy and choose the best explanation of observed numerical error. Associated standards: Integrated Calculus Standards CALC.MTD.2; CCSS.MP5.
Modeling, Technology, and Data in Calculus
CAL1.171 The Mathematical Modeling Cycle in Calculus - Internal Calculus 1 skill focused on The Mathematical Modeling Cycle in Calculus within Modeling, Technology, and Data in Calculus.
CAL1.172 Choosing Representations Strategically - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.4. Skill statement in this prompt cell: Select the representation (symbolic, graphical, numerical, verbal) that best answers the question and choose the correct translation between representations. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.4; AP Calculus Mathematical Practice: Connecting Representations; CCSS.MP2. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.173 Graphing Technology for Calculus Analysis - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.2. Skill statement in this prompt cell: Select the correct technology-based result (zero, extremum, derivative estimate, integral approximation) and the best explanation of any approximation limitation. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.2; CCSS.MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.174 Estimating Derivatives from Data - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.3. Skill statement in this prompt cell: Select the best derivative estimate from a dataset and choose the best statement about error or reliability. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.3; CCSS.HSS.ID; CCSS.MP2, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.175 Estimating Integrals from Data - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.3. Skill statement in this prompt cell: Select the correct trapezoidal-sum (or similar) approximation of an integral from data and select the correct interpretation with units. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.3; CCSS.HSS.ID; CCSS.MP2, MP5, MP6. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.176 Error, Accuracy, and Reasonableness - Internal Calculus 1 skill focused on Error, Accuracy, and Reasonableness within Modeling, Technology, and Data in Calculus.
CAL1.177 Communicating Solutions with Correct Notation and Units - Internal Calculus 1 skill focused on Communicating Solutions with Correct Notation and Units within Modeling, Technology, and Data in Calculus.
CAL1.178 Mathematical Argument and Justification - Internal Calculus 1 skill focused on Mathematical Argument and Justification within Modeling, Technology, and Data in Calculus.
CAL1.179 Academic Integrity and Digital Citizenship with Math Tools - Internal Calculus 1 skill focused on Academic Integrity and Digital Citizenship with Math Tools within Modeling, Technology, and Data in Calculus.
CAL1.180 Interpreting Calculus in Science and Engineering Contexts - Internal Calculus 1 skill focused on Interpreting Calculus in Science and Engineering Contexts within Modeling, Technology, and Data in Calculus.
Modeling, Technology, and Data in Calculus — Micro Skills
CAL1.181 Selecting Tools and Windows for Graphs - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.2. Skill statement in this prompt cell: Select the best graphing window/scale for a given function and select the best justification for that choice. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.2; CCSS.MP5. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.182 Interpreting Calculator Output and Rounding - Internal Calculus 1 skill focused on Interpreting Calculator Output and Rounding within Modeling, Technology, and Data in Calculus.
CAL1.183 Writing Claims with Evidence Across Representations - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.MTD.4. Skill statement in this prompt cell: Select the claim that is best supported by the provided multi-representation evidence and select the best explanation of agreement or disagreement. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.MTD.4; CCSS.MP3. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.184 Quantifying Uncertainty and Limitations - Internal Calculus 1 skill focused on Quantifying Uncertainty and Limitations within Modeling, Technology, and Data in Calculus.
CAL1.185 Multiple-Choice and Free-Response Readiness Skills - Internal Calculus 1 skill focused on Multiple-Choice and Free-Response Readiness Skills within Modeling, Technology, and Data in Calculus.
Mathematical Practices for Calculus
CAL1.186 Make Sense of Problems and Persevere - Internal Calculus 1 skill focused on Make Sense of Problems and Persevere within Mathematical Practices for Calculus.
CAL1.187 Reason Abstractly and Quantitatively - Internal Calculus 1 skill focused on Reason Abstractly and Quantitatively within Mathematical Practices for Calculus.
CAL1.188 Construct and Critique Mathematical Arguments - Internal Calculus 1 skill focused on Construct and Critique Mathematical Arguments within Mathematical Practices for Calculus.
CAL1.189 Model with Mathematics - Internal Calculus 1 skill focused on Model with Mathematics within Mathematical Practices for Calculus.
CAL1.190 Use Appropriate Tools Strategically - Internal Calculus 1 skill focused on Use Appropriate Tools Strategically within Mathematical Practices for Calculus.
CAL1.191 Attend to Precision - Internal Calculus 1 skill focused on Attend to Precision within Mathematical Practices for Calculus.
CAL1.192 Look for and Make Use of Structure - Internal Calculus 1 skill focused on Look for and Make Use of Structure within Mathematical Practices for Calculus.
CAL1.193 Look for and Express Regularity in Repeated Reasoning - Internal Calculus 1 skill focused on Look for and Express Regularity in Repeated Reasoning within Mathematical Practices for Calculus.
Research, Projects, and Interdisciplinary Applications
CAL1.194 Plan and Execute a Calculus Investigation - Internal Calculus 1 skill focused on Plan and Execute a Calculus Investigation within Research, Projects, and Interdisciplinary Applications.
CAL1.195 Write a Technical Report with Mathematical Evidence - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.RPI.1. Skill statement in this prompt cell: Select the report element (claim, evidence, limitation, citation) that best strengthens the quality and credibility of a technical report. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.RPI.1; CALC.MTD.4; CCSS.MP6; WIDA Key Language Uses: Inform, Argue. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.196 Present and Defend Findings - Primary standard selected for prompt fields in this prompt cell: Integrated Calculus Standards CALC.RPI.1. Skill statement in this prompt cell: Select the best evidence-based response to a critique or question about a calculus model or result. Associated standards listed with this skill in this prompt cell: Integrated Calculus Standards CALC.RPI.1; ISTE 6; AASL Collaborate; CCSS.MP3. Use this prompt-provided wording as the supporting standard description for this workflow.
CAL1.197 Integrate Calculus with Science, Economics, or Engineering - Internal Calculus 1 skill focused on Integrate Calculus with Science, Economics, or Engineering within Research, Projects, and Interdisciplinary Applications.
CAL1.198 Evaluate Sources and Data for Modeling - Internal Calculus 1 skill focused on Evaluate Sources and Data for Modeling within Research, Projects, and Interdisciplinary Applications.
CAL1.199 Reflect and Revise Models Based on Feedback - Internal Calculus 1 skill focused on Reflect and Revise Models Based on Feedback within Research, Projects, and Interdisciplinary Applications.