CAL2.14 Properties of Definite Integrals - Select the correct simplification using additivity, reversal of bounds, constant multiples, or comparison properties. Standards: AP Calculus BC Unit 6; FL MA

CAL2.21 Integration by Parts Formula - Select the correct use of the formula integral u dv = uv - integral v du for a given integrand. Standards tags: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.22 Choosing u and dv Strategically - Choose the best u and dv choices for integration by parts using structure, differentiation, and simplification. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.23 Single-Step Integration by Parts - Select the correct antiderivative after one integration-by-parts step. Standards tags: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.24 Repeated Integration by Parts - Choose the correct antiderivative when integration by parts must be applied more than once. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.25 Definite Integration by Parts - Select the correct definite-integral value using integration by parts and boundary evaluation. Standards tags: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.26 Trigonometric Integrals with Powers of Sine and Cosine - Choose the correct identity or substitution for integrals involving powers of sine and cosine. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.27 Trigonometric Integrals with Powers of Tangent and Secant - Select the correct rewrite for integrals involving powers of tangent and secant. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.28 Power-Reduction Formulas - Select the correct power-reduction formula and resulting simplified integral. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.29 Trig Substitution for a^2 - x^2 - Select the correct substitution, triangle relationship, and domain restriction for radicals of the form sqrt(a^2 - x^2). Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.30 Trig Substitution for a^2 + x^2 - Choose the correct tangent substitution and triangle relationship for radicals of the form square root of a^2 + x^2. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.31 Trig Substitution for x^2 - a^2 - a^2 - Select the correct secant substitution and triangle relationship for radicals of the form square root of x^2 - a^2. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.32 Completing the Square Before Trig Substitution - Choose the correct completed-square form and substitution after shifting a quadratic expression. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.33 Back-Substitution After Trig Substitution - Select the correct algebraic expression after converting from theta back to x. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.34 Inverse Trigonometric Antiderivative Forms - Choose the correct inverse-trigonometric antiderivative pattern and constant factor. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.35 Rational Functions and Polynomial Division - Select the correct quotient and remainder before integrating an improper rational function. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.36 Partial Fractions with Distinct Linear Factors - Choose the correct decomposition and antiderivative for a rational function with distinct linear factors. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.37 Partial Fractions with Repeated Linear Factors - Select the correct terms needed for repeated linear factors in a partial-fraction decomposition. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.38 Partial Fractions with Irreducible Quadratics - Choose the correct linear numerator form and integration strategy for irreducible quadratic factors. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.39 Partial Fractions with Mixed Factors - Select the correct full decomposition for a rational function with mixed linear and quadratic factors. Standards tags: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55

CAL2.40 Solving Partial-Fraction Coefficients - Choose the correct coefficient values using substitution, comparison, or a system of equations. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.41 Integrating Rational Functions After Decomposition - Select the correct logarithmic and inverse-trigonometric terms after integrating partial fractions. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.42 Integrals Requiring Multiple Techniques - Select the correct sequence of techniques for an integral that combines algebra, substitution, and parts. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.43 Selecting an Integration Strategy - Choose the most efficient technique from substitution, parts, trig identities, trig substitution, or partial fractions. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.*; CCSS.MP1, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-INT; TEKS 19 TAC section 111.55.

CAL2.44 Improper Integrals with Infinite Limits - Select the correct limit expression and convergence conclusion for an integral over an infinite interval. Aligns with AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55.

CAL2.45 Improper Integrals with Vertical Asymptotes - Choose the correct one-sided limit setup for an integrand unbounded on a finite interval. Standards: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55

CAL2.46 Improper Integrals with Multiple Issues - Select the correct split integral when an improper integral has more than one infinite or unbounded feature. Aligned to AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55.

CAL2.47 Convergence and Divergence of Improper Integrals - Choose whether an improper integral converges and, if so, its value. Standards tags: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55.

CAL2.48 p-Integral Test for Improper Integrals - Select the convergence conclusion for integrals resembling 1/x^p over infinite or near-zero intervals. Standards: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55.

CAL2.49 Comparison Test for Improper Integrals - Choose the valid comparison function and conclusion for a nonnegative improper integrand. Standards tags: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; CAL2-IMP; CAL2-NUM; TEKS 19 TAC section 111.55. (AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55)

CAL2.50 Limit Comparison for Improper Integrals - Select the correct limit comparison and convergence conclusion. Aligned to AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55.

CAL2.51 Numerical Integration with Trapezoidal Rule - Choose the correct trapezoidal approximation from values, tables, or graphs. Standards: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55

CAL2.52 Numerical Integration with Simpson's Rule - Select the correct Simpson's Rule approximation and verify that the number of subintervals is appropriate. Standards tags: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55.

CAL2.53 Left, Right, Midpoint, Trapezoid, and Simpson Comparisons - Choose the numerical method best matched to the available information and accuracy needs. Standards tags: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55.

CAL2.54 Error Direction from Concavity - Select whether a trapezoidal or midpoint approximation overestimates or underestimates based on concavity. Standards: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55

CAL2.55 Error Bounds for Numerical Integration - Choose the correct form or interpretation of an error bound for a numerical integral. Standards: AP Calculus BC Unit 6 and Unit 8; FL MA.912.C.4.6, C.4.8-C.4.10; CCSS.MP2, MP3, MP5, MP6; Integrated Calculus II Standards CAL2-IMP, CAL2-NUM; TEKS 19 TAC section 111.55.

CAL2.56 Area Between Curves with Respect to x - Select the correct integral setup and area value for a region bounded by functions of x. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.57 Area Between Curves with Respect to y - Choose the correct integral setup when horizontal slices create a simpler area expression. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.58 Area with Multiple Intersections - Select the correct split integrals when the top and bottom functions change over the interval. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.59 Area from Graphical Information - Choose the correct area expression from a labeled graph, including intersections and sign changes. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.60 Average Value in Context - Select the correct average-value calculation and contextual interpretation over an interval. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.61 Particle Motion - Displacement and Distance - Choose displacement, total distance, or final position from velocity and initial position information. Aligned to AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.62 Particle Motion from Acceleration - Select the correct velocity change, position change, or initial-value solution from acceleration data. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.63 Accumulation with Inflow and Outflow - Choose the correct net amount, total amount, or final quantity from rates entering and leaving a system. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.64 Volumes with Cross-Sections - Select the correct cross-sectional area function and volume integral for squares, rectangles, triangles, or semicircles. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.65 Disk Method Around a Coordinate Axis - Choose the correct disk-method setup and computed volume for a solid of revolution. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.66 Washer Method Around a Coordinate Axis - Select the correct washer-method radii and integral for a region revolved around an axis. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.67 Shell Method Around a Coordinate Axis - Choose the correct shell-method radius, height, and volume integral. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.68 Volumes Around Non-Axis Lines - Select the correct radius expression and method for rotation around a horizontal or vertical line other than an axis. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.69 Choosing Disk, Washer, or Shell Method - Choose the most efficient volume method and the corresponding integral form. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.70 Arc Length of Cartesian Curves - Choose the correct arc-length integral and evaluation method for a smooth curve y = f(x) or x = g(y). Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.71 Surface Area of Revolution - Choose the correct surface-area integral, radius, and arc-length component for a generated surface. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.72 Work by a Variable Force - Select the correct work integral and units for a force that varies with position. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.73 Work to Pump Fluids - Choose the correct slice, distance, and density expression for pumping liquid from a tank. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.74 Hydrostatic Force - Select the correct pressure, depth, and area relationship in a fluid-force setup. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.75 Mass from Density in One Dimension - Choose the correct mass integral from a linear density function. Aligned to AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55.

CAL2.76 Modeling with Integral Applications - Choose the integral model that best fits a described physical, biological, or economic situation. Standards: AP Calculus BC Unit 8; FL MA.912.C.5.5-C.5.7; CCSS.HSM; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-APP; TEKS 19 TAC section 111.55

CAL2.77 Differential Equation Vocabulary - Select the correct classification, variables, solution, or initial condition for a differential equation. Standards tags: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.78 Slope Fields from Differential Equations - Choose the slope field that matches a differential equation or the equation that matches a slope field. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55.

CAL2.79 Solution Curves Through Initial Conditions - Select the solution curve that passes through a given point on a slope field. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55.

CAL2.80 Separable Differential Equation Setup - Select the correct separation step for a differential equation of the form dy/dx = g(x)h(y). Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.81 Solving Separable Differential Equations - Choose the correct general or particular solution to a separable differential equation. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.82 Implicit Solutions of Differential Equations - Select the correct implicit solution and determine whether it satisfies the initial condition. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.83 Exponential Growth and Decay Models - Choose the correct solution, parameter interpretation, and prediction for dy/dt = ky. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55.

CAL2.84 Half-Life and Doubling-Time Models - Select the correct growth or decay constant from half-life, doubling time, or percent-change information. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.85 Newton's Law of Cooling and Heating - Choose the correct differential equation, solution form, or parameter interpretation for cooling/heating. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.86 Logistic Differential Equation - Select the correct logistic differential equation, carrying capacity, equilibrium values, or solution behavior. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.87 Logistic Solution and Inflection - Choose the correct limiting behavior, fastest-growth point, or inflection conclusion for a logistic model. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55.

CAL2.88 Euler's Method Setup - Select the correct next Euler step using a differential equation, step size, and initial value. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.89 Euler's Method Iterations - Choose the approximate solution value after multiple Euler steps. AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.90 Qualitative Differential Equation Analysis - Select increasing/decreasing behavior, equilibria, and long-run behavior without solving explicitly. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55

CAL2.91 Differential Equations from Context - Choose the differential equation that models a verbal description of change. Standards: AP Calculus BC Unit 7; FL MA.912.C.5.2-C.5.4; CCSS.HSM; CCSS.MP1, MP2, MP4, MP5, MP6; Integrated Calculus II Standards CAL2-ODE; TEKS 19 TAC section 111.55.

CAL2.92 Parametric Curve Basics - Select the point, orientation, or Cartesian relationship for a curve defined by x(t) and y(t). Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.93 Eliminating the Parameter - Choose the correct Cartesian equation and restrictions after eliminating a parameter. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

CAL2.94 Parametric Derivative dy_dx - Select the correct derivative dy/dx = (dy/dt)/(dx/dt) and evaluate it at a parameter value. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

CAL2.95 Second Derivative for Parametric Curves - Choose the correct d2y/dx2 expression and concavity conclusion for a parametric curve. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.96 Horizontal and Vertical Tangents in Parametric Form - Select where a parametric curve has horizontal or vertical tangents using dx/dt and dy/dt. Standards tags: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.97 Parametric Tangent Lines - Choose the tangent-line equation at a specified parameter value. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.98 Parametric Motion in the Plane - Select position, velocity, acceleration, or speed for a particle moving along a parametric path. Standards tags: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.99 Distance Traveled by Parametric Motion - Choose the correct integral for distance traveled by a particle in the plane. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

CAL2.100 Parametric Arc Length - Select the correct arc-length integral for a parametric curve over a given interval. Standards tags: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.101 Area Under a Parametric Curve - Choose the correct integral for area under a parametric curve with respect to x. Standards tags: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.102 Vector-Valued Functions - Select the correct derivative, integral, or evaluation of a vector-valued function component-wise. Aligned to AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.103 Vector Velocity and Acceleration - Choose the correct velocity vector, acceleration vector, speed, or direction of motion. Aligned to AP Calculus BC Unit 9; CAL2-PPV; CCSS.MP2, MP4, MP5, MP6, MP7; and related parametric, polar, and vector-valued standards. (AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55)

CAL2.104 Polar Coordinates and Plotting - Choose the correct polar coordinate, equivalent point, or plotted location. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

CAL2.105 Polar and Cartesian Conversion - Select the correct conversion between polar and rectangular equations or coordinates. Standards tags: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.106 Polar Graph Features - Choose the correct symmetry, intercepts, maximum radius, loop, or tracing interval for a polar graph. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.107 Polar Tangent Slope - Choose the correct dy/dx expression for a polar curve and identify horizontal or vertical tangents. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55.

CAL2.108 Area Enclosed by a Polar Curve - Select the correct polar area setup using one-half integral of r squared. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

CAL2.109 Area Between Polar Curves - Choose the correct bounds and integrand for area between two polar curves. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

CAL2.110 Parameter and Angle Interval Selection - Select an interval that traces a parametric or polar curve exactly once without overcounting. Tags: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

CAL2.111 Sequence Notation and Terms - Select the correct term, recursive rule, explicit rule, or interpretation of a sequence. Aligned to AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.112 Limits of Sequences - Choose whether a sequence converges and, if so, select its limit. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.113 Monotonicity and Boundedness of Sequences - Select whether a sequence is increasing, decreasing, bounded, and potentially convergent. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55

CAL2.114 Series and Partial Sums - Choose the correct partial sum, sigma notation, or definition connecting a series to partial sums. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.115 Telescoping Series - Select the correct cancellation pattern and sum for a telescoping series. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.116 Geometric Series - Choose whether a geometric series converges and, if it does, select its sum. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.117 Harmonic Series - Select the correct divergence conclusion and explanation for the harmonic series. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55

CAL2.118 p-Series - Choose the convergence conclusion for a p-series based on the value of p. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.119 Nth-Term Test for Divergence - Select whether the nth-term test proves divergence or is inconclusive. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55

CAL2.120 Integral Test - Choose the correct integral-test conclusion after verifying positivity, continuity, and decreasing behavior. Tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55

CAL2.121 Integral Test Remainder Estimate - Select the correct upper or lower bound for the remainder of a series approximation. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.122 Direct Comparison Test - Choose the correct benchmark and inequality to prove convergence or divergence. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55

CAL2.123 Limit Comparison Test - Select the correct benchmark series and limit comparison conclusion. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.124 Alternating Series Test - Choose whether an alternating series converges using decreasing positive terms approaching zero. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.125 Alternating Series Remainder Bound - Select the correct error bound for an alternating-series approximation. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.126 Absolute and Conditional Convergence - Choose the correct classification as absolutely convergent, conditionally convergent, or divergent. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55

CAL2.127 Ratio Test - Select the convergence conclusion using the limit of absolute ratios of consecutive terms. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.128 Root Test - Choose the convergence conclusion using the nth root of absolute terms. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.129 Choosing Between Ratio and Root Tests - Select the better test for factorial, exponential, nth-power, or product forms; AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55

CAL2.130 Convergence of Series with Factorials - Choose the correct test and conclusion for a series containing factorial expressions. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.131 Convergence of Series with Exponential Terms - Select the correct test and conclusion for series containing powers or exponential growth. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.132 Remainder and Approximation of Series Sums - Select the number of terms or error estimate needed to meet a specified accuracy. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55

CAL2.133 Communicating Series Conclusions - Select the precise written conclusion naming the test, conditions, and result. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.134 Selecting a Convergence Test - Choose the most appropriate convergence test based on the structure of a given series. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.IF; CCSS.MP2, MP3, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-SER; TEKS 19 TAC section 111.55.

CAL2.135 Power Series Form and Center - Select the center, coefficient pattern, or term form for a given power series. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55

CAL2.136 Radius of Convergence - Choose the radius of convergence using the ratio test, root test, or known series form. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55

CAL2.137 Interval of Convergence - Select the complete interval of convergence, including correct endpoint testing. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.138 Endpoint Testing for Power Series - Choose the convergence conclusion at each endpoint of an interval of convergence. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.139 Power Series from Geometric Series - Select the power series representation derived from the geometric-series formula. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.140 Algebraic Transformations of Power Series - Choose the transformed power series for a shifted, scaled, multiplied, or divided function. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55

CAL2.141 Term-by-Term Differentiation - Select the derivative power series and its interval implications. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.142 Term-by-Term Integration - Choose the integrated power series and its interval implications. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.143 Maclaurin Series for Common Functions - Select the Maclaurin series for e^x, sin x, cos x, 1/(1-x), or ln(1+x). Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.144 Taylor Series at a Nonzero Center - Choose the Taylor series form centered at a specified value. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.145 Taylor Polynomial Coefficients - Select the correct coefficients using derivatives at the center. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.146 Taylor Polynomial Approximation - Choose the Taylor polynomial estimate for a function value near the center. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.147 Lagrange Error Bound - Select the correct Lagrange remainder bound and use it to guarantee an accuracy. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55

CAL2.148 Alternating Series Error for Taylor Approximations - Choose the correct alternating-series error bound for applicable Maclaurin approximations. Standards tags: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.149 Taylor Series from Known Series - Select the correct transformed series using substitution, multiplication, differentiation, or integration. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55

CAL2.150 Representing Functions with Power Series - Choose the power series representation and interval where it equals the original function. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.151 Approximating Definite Integrals with Series - Select the series method and error estimate for approximating a non-elementary definite integral. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55

CAL2.152 Taylor Polynomials and Graph Behavior - Select the graph or local behavior that best matches a Taylor polynomial near its center. Standards: AP Calculus BC Unit 10; CCSS.HSA.SSE, HSF.BF; CCSS.MP2, MP5, MP6, MP7, MP8; Integrated Calculus II Standards CAL2-PS; TEKS 19 TAC section 111.55.

CAL2.153 Mathematical Modeling Cycle in Calculus II - Select the next modeling step: define variables, choose a calculus tool, compute, validate, revise, or communicate. Aligns to AP Calculus BC Mathematical Practices; CCSS.HSM; CCSS.MP1-MP8; ISTE 2,3,5,6; AASL Inquire/Curate/Engage; California Mathematics Framework 2023; Integrated CAL2-MTD, CAL2-RPI.

CAL2.154 Strategic Tool Selection - Choose the appropriate tool - graphing calculator, CAS, spreadsheet, simulation, or hand method - for a Calculus II task. Standards tags: AP Calculus BC Mathematical Practices; CCSS.HSM; CCSS.MP1-MP8; ISTE 2,3,5,6; AASL Inquire/Curate/Engage; California Mathematics Framework 2023; Integrated CAL2-MTD, CAL2-RPI.

CAL2.155 Error, Accuracy, and Approximation - Select the best statement about numerical, measurement, modeling, or truncation error. Standards: AP Calculus BC Mathematical Practices; CCSS.HSM; CCSS.MP1-MP8; ISTE 2,3,5,6; AASL Inquire/Curate/Engage; California Mathematics Framework 2023; Integrated CAL2-MTD, CAL2-RPI

CAL2.156 Mathematical Writing with Evidence - Choose the strongest claim-evidence-reasoning sentence for a Calculus II solution. Standards tags: AP Calculus BC Mathematical Practices; CCSS.HSM; CCSS.MP1-MP8; ISTE 2,3,5,6; AASL Inquire/Curate/Engage; California Mathematics Framework 2023; Integrated CAL2-MTD, CAL2-RPI

CAL2.157 Free-Response Justification - Select the justification that earns credit by naming the theorem, test, hypotheses, and conclusion. Standards: AP Calculus BC Mathematical Practices; CCSS.HSM; CCSS.MP1-MP8; ISTE 2,3,5,6; AASL Inquire/Curate/Engage; California Mathematics Framework 2023; Integrated CAL2-MTD, CAL2-RPI.

CAL2.158 Multiple-Choice Test Readiness - Choose the best elimination strategy, notation cue, or reasonableness check for a Calculus II assessment item. Standards: AP Calculus BC Mathematical Practices; CCSS.HSM; CCSS.MP1-MP8; ISTE 2,3,5,6; AASL Inquire/Curate/Engage; California Mathematics Framework 2023; Integrated CAL2-MTD, CAL2-RPI

CAL2.159 Plan a Calculus II Investigation - Select a focused research question, variables, data source, and calculus method for an investigation. Standards tags: AP Calculus BC Mathematical Practices; CCSS.HSM; CCSS.MP1-MP8; ISTE 2,3,5,6; AASL Inquire/Curate/Engage; California Mathematics Framework 2023; Integrated CAL2-MTD, CAL2-RPI.

CAL2.160 Interdisciplinary Calculus II Capstone - Choose the calculus tool and communication approach for a science, engineering, economics, or social-science capstone. Standards tags: AP Calculus BC Mathematical Practices; CCSS.HSM; CCSS.MP1-MP8; ISTE 2,3,5,6; AASL Inquire/Curate/Engage; California Mathematics Framework 2023; Integrated CAL2-MTD, CAL2-RPI.