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IBL Calculus: Concepts and Applications
Calculus I and II
AIBL Small Grants Proposal
AIBL Grant Schedule & To-Do's
Calc I Module I Changes
Calc I Module II Changes
Calculus I Module III Changes
Calc I Reading Activities
Calculus I
Calculus I Course Schedule
Teacher Journals
TJ: CA I.1 Bottle Graph Exploration, Part I
Bottle Graph Activity, Part I
Bottle Graph Activity, Part I
TJ: CA I.10 Continuity
Continuity
TJ: CA I.2 Bottle Graph Exploration, Part II
Bottle Graph Activity, Part II
Updated Activity
TJ: CA I.3 Introduction to Functions
Introduction to Functions
Introduction to Functions
TJ: CA I.4 Linear and Exponential Characteristics
Linear and Exponential Characteristics
TJ: CA I.5 Modeling Change in Applied Data with Mathematica
Modeling Change in Applied Data with Mathematica
TJ: CA I.6 Power Functions, Polynomials and Logarithmic Functions
Power Functions, Polynomials and Logarithmic Functions
TJ: CA I.7 Exponential Functions - Exploration of Rate of Change Relationships
Exponential Functions - Exploration of Rate of Change Relationships
TJ: CA I.8 Rate of Change Equation Applications
Rate of Change Equation Applications
TJ: CA I.9 Introduction to Limits
Introduction to Limits
TJ: CA II.1 Average v. Instantaneous Speed
TJ: CA II.5 Derivative of the Power Function
TJ: CA II.7 The Derivatives of cf and f+g
TJ: CA II.9 The Derivative of fg (The Product Rule)
TJ: CA III.1 Analysis of Functions
TJ: CA III.3 Related Rates
Untitled Post
TJ: CA III.5 Differential Equations - Analytical Solutions
Untitled Post
Calculus I Quick Concept Checks
Calculus I: In-Class Activities and Activity Guides
Air Traffic Control Project (BONUS)
Application Problem Review
CA I.1 Bottle Graph Exploration Part I
CA I.2 Bottle Graph Exploration, Part II
CA I.3 Introduction to Functions
CA I.4 Linear and Exponential Characteristics
CA I.5 Modeling Change in Applied Data using Mathematica
CA I.6 Logarithmic Functions
CA I.7 Exponential Functions - Exploration of Rate of Change Relationships
CA I.7 Power Functions and Polynomials
CA I.8 Introduction to Limits
CA I.8 Rate of Change Equation Applications
CA I.9 Continuity
CA II.1 Average v. Instantaneous Speed
CA II.10 Introduction to Differential Equation Solutions
CA II.2 The Derivative Function - A Graphical Approach
CA II.3 The Meaning of the Derivative
CA II.4 The Derivative of x-squared
CA II.5 Derivative of the Power Function
CA II.6 The Second Derivative and Its Applications
CA II.7 The Derivatives of cf and f+g
CA II.8 Exponential Functions and Instantaneous Rate of Change
CA II.9 Differential Equation Applications
CA III.1 The Derivative of fg (The Product Rule)
CA III.2 The Derivative of f(g(x)) (The Chain Rule)
CA III.3 Analysis of Functions
CA III.3 Related Rates
CA III.4 Optimization
CA III.5 Differential Equations - Analytical Solutions
CA III.6 Numerical Solutions to Differential Equations
Module I Review
Module II Review
Reading Activity 3
Trig Functions - Sketch and Practice
Calculus II
Calc II Module I: Approximations, Infinite Sums, and the Definite Integral
Reading Objectives and Assessment
What's New at IBLCalculus
Desmos Activities
Flipgrid
IOLA Linear Algebra
Mathigon
New Online Inquiry Courses at Rockhurst!
Untitled
Assessing Conceptual Understanding
Calc I Module III: Applications of the Derivative
Calculus II: In-Class Activities and Activity Guides
CA I.1 Snowflake Exploration, Part I
TJ: CA I.1 Snowflake Exploration, Part I
Snowflake Exploration, Part I
CA I.2 Snowflake Exploration Part II
TJ: CA I.2 Snowflake Exploration II
Snowflake Exploration, Part II
CA I.3 Geometric Series
TJ: CA I.3 Geometric Series
Geometric Series
CA I.4 Approx Functions - Taylor Polynomials
CA I.5 Area Under a Curve
CA I.6 Distinguishing Series and Definite Integrals
CA I.7 Velocity and Distance Traveled
CA I.8 Total Change and Other Applications
CA II.1 Antiderivatives andthe First FTC
CA II.2 Probability and Integral Functions
CA II.3 Reversing the Chain Rule
CA II.4 More Probability
CA II.5 Reversing the Product Rule
CA II.6 Differentiation and Integration - Inverse Operations?
CA III.1 Improper Integrals
CA III.2 Integrals and Series
CA III.3 Convergence of Alternating Series
CA III.4 Power Series
CA III.5 Taylor Series
Exam One Outline
Exam Two Outline
MI Consensus Concept Quiz 1
Module I Concept Review Activity
Module II Antiderivatives Quiz
Module II Reading Quiz over Section 5.4
Module II Review Activity
Module III Quick Concept Check
CUWS - A Framework for Conceptual Understanding
Filling in the Gaps for Calculus
Compositions and Inverse Functions
Exponential Functions
Linear Functions
Linear Game
Logarithmic Functions
Polynomial Functions
Rational Functions
Trigonometric Functions
Functions
Interesting Sites
Links to Additional Courses
Literature
Our Active Learning Approach
Precalculus
Activity 10: Exponential Inverse Investigation
Activity 11: Logarithmic Functions
Activity 12: Doubling Time and Half Life
Activity 1: Population Change
Activity 2: Functions
Activity 3: Linear Functions
Activity 4: Understanding a Model of Linear Growth
Activity 5: Understanding Exponential Growth
Activity 6: Characterizing Exponential Growth and Decay
Activity 7: Graphs of Exponential Functions
Activity 8: Modeling Bacteria
Activity 9: Compositions and Inverses
Compositions and Inverses Practice and Synthesis
Exponential Function Introduction
Introduction to Graph
Kittens Problem
Linear Models
More Modeling
Ponzi Pyramid Schemes
Rates of Change and Growth/Decay Characterization
Sidewalk Stones
Tiling Problem Activity (Mathematics Assessment Project)
World Grain Supply and Demand
World Solar Power
Table Tiling
Schedules
Contact
IBL Calculus: Concepts and Applications
Activity 9: Compositions and Inverses
Activity9CompositionsandInverses.pdf
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