Teacher and learning-coach resource
Lesson Answer Keys
Ninety-two matching keys provide answers, reasoning, diagrams, and verification language. Equivalent correct forms should be accepted when supported by valid work.
Unit 01
Calculus Readiness & Function Fluency
Function Language, Units & Multiple Representations
Printable answer key with reasoning and matching visual diagrams.
U01 L02Domains, Ranges, Intercepts & End Behavior
Printable answer key with reasoning and matching visual diagrams.
U01 L03Transformations, Composition & Inverse Structure
Printable answer key with reasoning and matching visual diagrams.
U01 L04Average Rate of Change & Difference Quotients
Printable answer key with reasoning and matching visual diagrams.
U01 L05Algebraic Techniques for Calculus
Printable answer key with reasoning and matching visual diagrams.
U01 L06Trigonometric, Exponential & Logarithmic Fluency
Printable answer key with reasoning and matching visual diagrams.
U01 L07Modelling Assumptions, Technology & Verification
Printable answer key with reasoning and matching visual diagrams.
Unit 02
Limits: Numerical, Graphical & Algebraic Reasoning
Approaching a Value: Tables, Graphs & Language
Printable answer key with reasoning and matching visual diagrams.
U02 L02One-Sided Limits and Two-Sided Agreement
Printable answer key with reasoning and matching visual diagrams.
U02 L03Limits from Graphs with Holes and Jumps
Printable answer key with reasoning and matching visual diagrams.
U02 L04Limit Laws and Direct Substitution
Printable answer key with reasoning and matching visual diagrams.
U02 L05Indeterminate Forms and Algebraic Simplification
Printable answer key with reasoning and matching visual diagrams.
U02 L06Rationalization and Radical Limits
Printable answer key with reasoning and matching visual diagrams.
U02 L07Infinite Limits and Vertical Asymptotes
Printable answer key with reasoning and matching visual diagrams.
U02 L08Limits at Infinity and End Behavior
Printable answer key with reasoning and matching visual diagrams.
Unit 03
Continuity & Asymptotic Behavior
Continuity at a Point and on an Interval
Printable answer key with reasoning and matching visual diagrams.
U03 L02Classifying Discontinuities
Printable answer key with reasoning and matching visual diagrams.
U03 L03Piecewise Functions and Continuity Conditions
Printable answer key with reasoning and matching visual diagrams.
U03 L04The Intermediate Value Theorem
Printable answer key with reasoning and matching visual diagrams.
U03 L05The Squeeze Theorem
Printable answer key with reasoning and matching visual diagrams.
U03 L06Continuity of Composite and Transcendental Functions
Printable answer key with reasoning and matching visual diagrams.
U03 L07Continuity, Asymptotes & Model Reliability
Printable answer key with reasoning and matching visual diagrams.
Unit 04
The Derivative from First Principles
Secant Slopes and Average Change
Printable answer key with reasoning and matching visual diagrams.
U04 L02The Difference Quotient
Printable answer key with reasoning and matching visual diagrams.
U04 L03Derivative as a Limit
Printable answer key with reasoning and matching visual diagrams.
U04 L04Tangent Lines and Local Linear Behavior
Printable answer key with reasoning and matching visual diagrams.
U04 L05Differentiability and Corners, Cusps & Vertical Tangents
Printable answer key with reasoning and matching visual diagrams.
U04 L06Derivative Notation, Units & Interpretation
Printable answer key with reasoning and matching visual diagrams.
U04 L07Estimating and Sketching Derivatives from Graphs
Printable answer key with reasoning and matching visual diagrams.
Unit 05
Differentiation Rules & Higher Derivatives
Constant, Power & Sum Rules
Printable answer key with reasoning and matching visual diagrams.
U05 L02Product Rule
Printable answer key with reasoning and matching visual diagrams.
U05 L03Quotient Rule
Printable answer key with reasoning and matching visual diagrams.
U05 L04Derivatives of Sine and Cosine
Printable answer key with reasoning and matching visual diagrams.
U05 L05Derivatives of Other Trigonometric Functions
Printable answer key with reasoning and matching visual diagrams.
U05 L06Derivatives of Exponential Functions
Printable answer key with reasoning and matching visual diagrams.
U05 L07Derivatives of Logarithmic Functions
Printable answer key with reasoning and matching visual diagrams.
U05 L08Higher-Order Derivatives and Motion
Printable answer key with reasoning and matching visual diagrams.
Unit 06
Chain Rule, Implicit & Inverse Functions
Chain Rule Concept and Structure
Printable answer key with reasoning and matching visual diagrams.
U06 L02Chain Rule with Polynomial and Rational Compositions
Printable answer key with reasoning and matching visual diagrams.
U06 L03Chain Rule with Trigonometric Compositions
Printable answer key with reasoning and matching visual diagrams.
U06 L04Chain Rule with Exponential and Logarithmic Compositions
Printable answer key with reasoning and matching visual diagrams.
U06 L05Implicit Differentiation
Printable answer key with reasoning and matching visual diagrams.
U06 L06Second Derivatives of Implicit Relations
Printable answer key with reasoning and matching visual diagrams.
U06 L07Derivatives of Inverse and Inverse Trigonometric Functions
Printable answer key with reasoning and matching visual diagrams.
U06 L08Logarithmic Differentiation
Printable answer key with reasoning and matching visual diagrams.
Unit 07
Contextual Applications of Derivatives
Position, Velocity & Acceleration
Printable answer key with reasoning and matching visual diagrams.
U07 L02Interpreting Derivatives in Context
Printable answer key with reasoning and matching visual diagrams.
U07 L03Related Rates: Geometry and Measurement
Printable answer key with reasoning and matching visual diagrams.
U07 L04Related Rates: Volume and Flow
Printable answer key with reasoning and matching visual diagrams.
U07 L05Linearization and Tangent-Line Approximation
Printable answer key with reasoning and matching visual diagrams.
U07 L06Differentials and Propagated Error
Printable answer key with reasoning and matching visual diagrams.
U07 L07Sensitivity, Units & Model Validation
Printable answer key with reasoning and matching visual diagrams.
Unit 08
Analytical Applications & Optimization
Absolute and Local Extrema
Printable answer key with reasoning and matching visual diagrams.
U08 L02The Mean Value Theorem
Printable answer key with reasoning and matching visual diagrams.
U08 L03Increasing and Decreasing Intervals
Printable answer key with reasoning and matching visual diagrams.
U08 L04First Derivative Test
Printable answer key with reasoning and matching visual diagrams.
U08 L05Concavity and Points of Inflection
Printable answer key with reasoning and matching visual diagrams.
U08 L06Second Derivative Test and Curve Analysis
Printable answer key with reasoning and matching visual diagrams.
U08 L07Optimization and Design Constraints
Printable answer key with reasoning and matching visual diagrams.
Unit 09
Accumulation, Riemann Sums & Definite Integrals
Accumulation and Area as a Limit
Printable answer key with reasoning and matching visual diagrams.
U09 L02Left and Right Riemann Sums
Printable answer key with reasoning and matching visual diagrams.
U09 L03Midpoint Sums
Printable answer key with reasoning and matching visual diagrams.
U09 L04Trapezoidal Approximation
Printable answer key with reasoning and matching visual diagrams.
U09 L05Definite Integral Notation and Signed Area
Printable answer key with reasoning and matching visual diagrams.
U09 L06Properties of Definite Integrals
Printable answer key with reasoning and matching visual diagrams.
U09 L07Net Change and Units of Accumulation
Printable answer key with reasoning and matching visual diagrams.
Unit 10
Fundamental Theorem & Antiderivatives
The Fundamental Theorem of Calculus, Part I
Printable answer key with reasoning and matching visual diagrams.
U10 L02Accumulation Functions and Variable Bounds
Printable answer key with reasoning and matching visual diagrams.
U10 L03The Fundamental Theorem of Calculus, Part II
Printable answer key with reasoning and matching visual diagrams.
U10 L04Antiderivatives and Indefinite Integrals
Printable answer key with reasoning and matching visual diagrams.
U10 L05Initial Conditions and Particular Solutions
Printable answer key with reasoning and matching visual diagrams.
U10 L06Basic u-Substitution
Printable answer key with reasoning and matching visual diagrams.
U10 L07Definite Integrals with Substitution
Printable answer key with reasoning and matching visual diagrams.
Unit 11
Integration Methods & Numerical Analysis
Selecting an Integration Strategy
Printable answer key with reasoning and matching visual diagrams.
U11 L02Algebraic Simplification Before Integrating
Printable answer key with reasoning and matching visual diagrams.
U11 L03Integrals of Exponential and Logarithmic Forms
Printable answer key with reasoning and matching visual diagrams.
U11 L04Integrals of Trigonometric Forms
Printable answer key with reasoning and matching visual diagrams.
U11 L05Integration by Parts: Calculus II Bridge
Printable answer key with reasoning and matching visual diagrams.
U11 L06Comparing Numerical Integration Methods
Printable answer key with reasoning and matching visual diagrams.
U11 L07Error, Reasonableness & Technology Verification
Printable answer key with reasoning and matching visual diagrams.
Unit 12
Differential Equations & Growth Models
Differential Equations and Slope Fields
Printable answer key with reasoning and matching visual diagrams.
U12 L02Verifying Solutions to Differential Equations
Printable answer key with reasoning and matching visual diagrams.
U12 L03Separation of Variables
Printable answer key with reasoning and matching visual diagrams.
U12 L04Exponential Growth and Decay Models
Printable answer key with reasoning and matching visual diagrams.
U12 L05Euler's Method
Printable answer key with reasoning and matching visual diagrams.
U12 L06Model Comparison, Equilibria & Limitations
Printable answer key with reasoning and matching visual diagrams.
Unit 13
Applications of Integration & Calculus Capstone
Area Between Curves
Printable answer key with reasoning and matching visual diagrams.
U13 L02Volumes with Known Cross Sections
Printable answer key with reasoning and matching visual diagrams.
U13 L03Disk and Washer Methods
Printable answer key with reasoning and matching visual diagrams.
U13 L04Average Value of a Function
Printable answer key with reasoning and matching visual diagrams.
U13 L05Calculus Modelling Capstone: Build and Validate
Printable answer key with reasoning and matching visual diagrams.
U13 L06Oral Defense, Revision & Comprehensive Synthesis
Printable answer key with reasoning and matching visual diagrams.