Exponential Function Graph Activity
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Derivatives of the Exponential and Natural Logarithmic Functions EXPLORATION
In this discovery activity, students use a graphing calculator to evaluate a function and its derivative at given x-values. The activity is arranged so that students clearly see the results of the exploration and can easily make a (correct) conjecture about the derivatives of y = e^x and y = ln(x). The activity includes exercises where students can apply their conjectures.
ANSWER KEY INCLUDED.
This two-page activity is great for a "flipped classroom" activity because students end up teaching the
11th - 12th
Calculus
Graphs of Exponential and Logarithmic Functions
This product may be used as guided notes, exploration, additional practice, or review. The key provided uses the method of mapping using point to point transformations and interval notation for domain and range, but you made teach use the outline with the methods and notation familiar to your students. The goal of this activity is to help students make connections between the inverse properties of exponents and logarithms, while reviewing how transformations change the direction and location of
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.5
, HSF-IF.C.7
, HSF-IF.C.7d
+1
Graphing Functions Classification Activity
Given equations, students sketch graphs using a graphing calculator. Then, they cut apart the individual graph/equation squares. Next they categorize and generalize about the types of graphs. After that they indicate how the type of graph is related to the type of equation. Finally they indicate special features are involved with each type of function. Types of functions involved are polynomial, rational, radical and exponential.
9th - 11th
Algebra 2, Calculus, PreCalculus
Limits of Functions | Triples Activity
Students will practice evaluating limits of functions with this “Triples Activity”. This activity includes one-sided and two-sided limits. Types of functions include polynomial, absolute value, rational, exponential, absolute value, radical, trigonometric, and piecewise functions. Some limits can be found by direct substitution and some require algebraic methods such as factoring or rationalizing to find the limit at a discontinuity. A graphing utility can also be used to verify solutions. The l
9th - 12th
Calculus, Math, PreCalculus
Pre-Calculus End-of-Year | Coloring Sheet Activity
Pre-Calculus End-of-Year Review Coloring Activity! Topics include: -Solving Logarithmic Equations -Solving Exponential Equations -Solving Trigonometric Equations -Identifying Characteristics of Sinusoidal Graphs -Inverse Functions -Composition of Functions -Long/Synthetic Division -Trigonometric Ratios -Simplifying Trigonometic Expressions
9th - 12th
Applied Math, Calculus, PreCalculus
how to graph logarithmic functions on desmos
this bundle covers: how to graph logarithmic exponential in desmos logarithmic graph explained how to graph a logarithmic function in desmos logarithmic curve desmos natural log graph vs log graph y logx desmos desmos logarithmic calculator
11th
Algebra, Algebra 2, Calculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7d
, HSF-IF.C.7e
Comparing Exponential Functions – Algebra 2 Notes, Practice, Video Support & Key
📐 Algebra 2: Comparing Exponential Functions Advanced Practice, Notes, Video Support & Answer Keys This resource is designed for higher-level high school Algebra students and focuses on deep conceptual understanding of exponential functions. Students analyze how exponential functions compare to their parent functions, evaluate transformations, determine intersections, and reason about long-term behavior. Lessons emphasize mathematical justification, not just computation. Students explain how c
10th - 12th
Algebra, Algebra 2, Calculus
Graphs of Parent Functions
In this Smart Notebook file, 11 parent functions are reviewed: Constant Function Linear Function Absolute Value Function Greatest Integer Function Quadratic Function Cubic Function Square Root Function Cube Root Function Exponential Function Logarithmic Function Reciprocal Function This file could be used as: A review of the parent function graphs before moving forward A recap of the parent function graphs before moving forward Th
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, Math
Mastering Functions: Definitions, Graphs, and Applications
This Functions Theory: A Problem-Based Approach resource is a complete workbook designed to help students understand, apply, and master functions through clear explanations, step-by-step solved examples, and extensive practice problems. Covering all essential function types and transformations, it is perfect for high school Algebra 2, Precalculus, and introductory college math courses. Inside, you’ll find: 12 structured chapters covering topics such as Function Fundamentals, Graphs & Transfor
10th - 12th
Applied Math, Calculus
Integration U substitution Activity for Calculus
This Integration of Transcendental Functions with u-Substitution Dominoes matching activity will challenge your Calculus students while giving them a fun outlet to learn along with the ability to self check their work. Included are 11 definite integrals with Transcendental functions including the 6 trig functions, logarithmic, exponential, and inverse trig functions. It is suggested that students not use a graphing calculator. All answers are in exact form and many answers are similar. Stude
11th - 12th, Higher Education
Calculus
AP Calculus Derivatives (before chain rule) - Killer Sudoku Puzzle Activity
I like to do a summary of basic derivatives before moving on to chain rule. This could be used as a test/quiz review, a homework, or an in-class activity. I typically do this as a 60 minute activity, letting students work in groups on the problems. They can usually start, but not finish the puzzle in class. Topics include: Power ruleProduct ruleQuotient ruleTrig derivativesSecond derivativesDetermining function and derivatives values from a graphI cover exponentials, logs, and inverse trig after
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - First Semester
Calculus Integration of Exponential Functions Circuit Training
Challenge your Calculus students on Integration of Exponential Functions with this self - checking circuit style worksheet. There are 12 problems involving exponential functions in the form of e^u and a^u. Some problems include trig functions and there is a mix of definite and indefinite integration. Students should not need a graphing calculator. The full worked out typed solutions are included for your convenience. For this self checking practice your students solve the first problem then
11th - 12th, Higher Education
Calculus
Also included in: Calculus Circuit Practice Training AP Calculus AB / BC
Matching Graphs and Equations Digital Practice Activity - Precalc Google Slides
No prep interactive activity that increases student engagement and is perfect for distance learning OR regular classroom use! I am doing this as my first day of Calculus activity but this could be used in Algebra 2 or Precalculus as well, at any time of year! There are 9 activity slides that cover 9 different types of equations/functions: linear, quadratic, polynomial, square root, absolute value, exponential, logarithmic, rational, and sine/cosine. Two versions of this activity are included:V1
11th - 12th
Calculus, Math, PreCalculus
Calculus: Derivatives of Exponential Functions - Three Products in a BUNDLE
This is a mini bundle on finding derivatives of exponential functions. The first product consists of two practice sheets level 1 and level 2. The second and third products are similar quizzes as the one product doesn't require the chain rule and the other product requires the usage of the chain rule. Each product consists of three parts/tasks: The first task is finding the first derivative of each of four given functions and the equation of the tangent line to the graph of each function at the
11th - 12th
Calculus
Derivative of the Sine Cosine Exponential and Natural Log Functions Spring 2013
I like for my Precalculus/IB students to "see" the concept of derivatives of the sine, cosine, e^x, and Ln functions, so I have them use the "calc: dy/dx" functionality of their graphing calculators to help them with the process: they graph the function, and then determine the (approximate) value of the derivative at key points on the curve, which they then recognize to be familiar values: they can "see" that the derivative of the sine is the cosine, and so forth.
Disclaimer: I use an informal
10th - 12th
Calculus, Math, PreCalculus
Derivative of the Sine Cosine Exponential and Natural Log functions (Editable)
To help my students see the connection between the sine, cosine, exponential, and natural log graph and their derivatives, I have them use the TI calculators to compute the derivatives. For the sine and cosine, they graph the derivatives directly on the graph; for the other functions, they use a table to verify their derivatives.
I use it within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
This works
10th - 12th
Calculus, Math, PreCalculus
Change in Linear and Exponential Functions AP® Precalculus 2.2 Worksheet
Do you find that your AP ® Precalculus students need more help connecting slopes/factors and intercepts to equations and applying key characteristics to linear and exponential functions? Students will work on creating equations, tables and graphs given criteria for AP ® Precalculus topic 2.2. ⭐Skills Required: Change in Linear FunctionsChange in Exponential Functions❤️Resource is Great for: AP® PrecalculusAP® CalculusAlgebra 2Remote LearningHomeschoolingTutoring⭐Includes: 2-page activity (2
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-LE.A.1
, HSF-LE.A.2
Pre-Calc: Applications using Parabolas, Logs & Exponential Functions
This is a review worksheet. Students work in groups using their graphing calculator to find equations for applications using parabolas, logs & exponential functions. They will also find correlation coefficients using the graphing calculator. Students are instructed to go to a website to print out the graphs but this can be modified based on the tech equipment available in the classroom.
This can be used at the College Algebra, Pre-Calc or Calculus level.
10th - 12th, Higher Education
Calculus, PreCalculus
Exponential and Logarithmic Functions: Derivatives and Integrals
This activity has students explore the derivatives of e^x and a^x as well as the antiderivative of 1/x. They use their graphing calculator to evaluate slopes at various points and then their knowledge of graphs of functions to make conjectures about these derivatives and antiderivatives. Students are then provided with some practice problems to attempt to apply what they have learned.
11th - 12th
Calculus, Math
Parent FUNctions - Game of SPOONS
Parent FUNctions - Game of SPOONS
Games in math class are always a +
Student engagement with the content increases
Students get excited about coming to class
Students share that enthusiasm
Games engage more of the class
Games allow for informal assessment
Games make you cool (just kidding about this one, you are already cool)
Played like the game of “Spoons,” this small group activity gives students an opportunity to review characteristics of parent functions. They won’t even realize they a
9th - 12th
Calculus, Graphing, PreCalculus
Function Analysis & Model Comparison – Linear vs. Exponential vs. Logarithmic
This complete high school math bundle provides a fully aligned set of resources for teaching students how to analyse, compare, and select mathematical models. Students move beyond formula-based work and develop critical modelling skills, learning how growth behaviour, rates of change, and assumptions influence predictions. What’s Included introductory and comparison slides student worksheets and modelling activities full teaching framework discussion prompts and reflection tasks dif
9th - 12th
Calculus
Pre-Calc: Inverse Relationship Between Logs & Exp (Graph Calc)
This activity uses the graphing calculator to explore the inverse relationship between logs and exponential functions. Students use the table feature of their calculator to generate values for inverse functions and to explore/compare components of each. This is generally an in-class group activity but could be assigned outside of class. Used in PreCalc as a discovery lesson and in Calculus as a review.
11th - 12th, Higher Education
Calculus, PreCalculus
Newton's Law of Cooling Mini-Lab
This is an activity for the differential equations chapter of high school calculus. Students will make their own measurements while a cup of hot water cools in their classroom, they'll generate an equation and draw the graph of an exponential function. It's a really good activity for students to gain a better understanding of how differential equations work and what they can be used for.
12th, Adult Education, Higher Education
Applied Math, Calculus, Math
Derivatives Using Tables and Graphs
Derivatives using tables and graphs task card activity will give students an opportunity to practice how to find the derivative from a graph or from a table. These task cards can be used as an individual practice, partner activity or in small groups to allow for collaboration. Derivatives using tables and graphs activity has 16 task cards. Students will practice taking the derivative of a variety of functions given either a table or graph. They will be applying the power rule, product rule a
11th - 12th, Higher Education
Calculus
CCSS
MP1
, MP2
, MP3
+2
Also included in: Calculus Derivative Practice Task Card Review Activity
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