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Preview of Graphs of First & Second Derivatives Identify and Match f, f', f''

Graphs of First & Second Derivatives Identify and Match f, f', f''

Created by
Joan Kessler
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
Preview of Calculus Matching Graphs of Derivatives, f, f', f''  Digital Activity

Calculus Matching Graphs of Derivatives, f, f', f'' Digital Activity

Created by
Joan Kessler
In this Calculus Interactive Digital Graphs of the Derivatives Using Curve Sketching your students will examine three graphs on each slide to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. They will use their knowledge about derivatives, increasing and decreasing functions, max's and min's, and points of inflection to complete the assignment. IncludedPDF with links to the product. Detailed illustrated instructions on a
Preview of Calculus Limits from Graphs Digital Escape

Calculus Limits from Graphs Digital Escape

Created by
Joan Kessler
After being captured by Aliens from a distant planet while exploring the Galaxy, your Calculus students must solve 37 problems on Limits from Graphs in 5 different Escape Rooms in order to be released by the Alien Queen. Students must determine the limits, if they exist, from analyzing a graph, then use their answers to escape that room. Each room has a different challenge to complete and earn the key to the next room. Challenges include Multiple Choice problems, a Maze, True False question
Preview of Derivative Detectives: f, f ′ , and f ′′  Graphing Activity | Calculus Review

Derivative Detectives: f, f ′ , and f ′′ Graphing Activity | Calculus Review

Turn derivative graph analysis into an engaging mystery with Derivative Detectives! In this calculus activity, students act as detective mathematicians as they analyze evidence, examine suspect graphs, and connect a function with its first and second derivatives. Students practice identifying relationships between f, f′, and f′′ using increasing/decreasing behavior, local extrema, concavity, inflection points, and derivative sign patterns. What’s Included Teacher instructions Student packet
Preview of Finding Limits From Piecewise Graphs Calculus Practice

Finding Limits From Piecewise Graphs Calculus Practice

Finding limits from graphs task card activity can be used in your classroom in many different ways. Students could work on these 24 questions individually or collaborate together to solve the problems; either way they will be reinforcing the skill of how to find limits from a graph. Understanding how to find limits graphically of piecewise functions is a key skill to build at the beginning of a calculus course as students will be using graphs throughout the rest of the year. This task card
Preview of Sine & Cosine Functions Matching Activity | Graphs, Equations, Tables & Words

Sine & Cosine Functions Matching Activity | Graphs, Equations, Tables & Words

Created by
Mr. Miller Math
Help your students master the behavior of sine and cosine functions with this engaging, hands-on matching activity! Students will connect four representations of sinusoidal functions: graphs, equations, verbal descriptions, and tables of values. What’s Included: 12 sinusoidal functions, each with: A graph A sine or cosine equation A table of values A verbal description Cut-and-match card sets Blank student answer sheet Teacher answer key Flexible Classroom Use: Stations or group work
Preview of AP Calculus Limits (Graphically and Algebraically) Scavenger Hunt Graphs Factor

AP Calculus Limits (Graphically and Algebraically) Scavenger Hunt Graphs Factor

Created by
KLGResources
Incorporating game-like elements makes learning more enjoyable, which can reduce math anxiety and foster a positive attitude towards practicing math concepts. Scavenger hunts are a move around activity involving teamwork, fostering collaboration and communication skills as students work together to solve problems. All questions ask students to calculate the limit of a function, some from a graph and others from an equation. Limits can be solved by direct substitution and students will utilize f
Preview of GROWING Bundle - AP Calculus AB/BC - STEM Applications Graph Analysis Review

GROWING Bundle - AP Calculus AB/BC - STEM Applications Graph Analysis Review

This GROWING bundle will provide you with ALL of my AP Calculus AB + BC activities as I grow my store. I will create products for all 8 AB units and 10 BC units that will provide activities, instructional routines, and teacher aids. Currently, the bundle is small, which means BIG savings for you in the future! This GROWING bundle currently includes... (updated 2025-09-06) + Unit 1 - Limits: Flexible Activity; + Unit 2 (Part 1) - Derivative Definition and Notation: Flexible Activity; + Noti
Preview of Precalculus Polar Graphs - Coordinate Battleship Graphing Game Lesson Activity

Precalculus Polar Graphs - Coordinate Battleship Graphing Game Lesson Activity

Precalculus or Calculus lesson game for Polar Coordinate practice! Play battleship with a classmate! Students have so much fun trying to sink each others' ships while getting needed practice with plotting polar coordinates and practicing with coterminal angles. This is one of my students favorite activities of the year! I use it in my AP- Precalculus class and spend one class period playing (48 minutes). The directions are right on the worksheet along with 2 "game boards". I usually project
Preview of AP Precalculus FRQ 2 – Solving Systems in Modeling Problems

AP Precalculus FRQ 2 – Solving Systems in Modeling Problems

Help your AP Precalculus students master the second key skill required for FRQ 2 modeling problems: solving systems of equations to determine model parameters. This resource builds directly on the process of setting up equations and teaches students how to efficiently determine unknown constants using algebraic techniques and calculator methods. What’s Included ✔ Step-by-step examples for exponential models ✔ Solving logarithmic parameter equations ✔ Solving quadratic systems using a graphi
Preview of AP Calculus Unit 2 (Part 1)-Derivatives-Notice/Wonder Graph Worked-Out Example

AP Calculus Unit 2 (Part 1)-Derivatives-Notice/Wonder Graph Worked-Out Example

Introduce a new instructional routine of Notice/Wonder! You can use the Notice/Wonder Routine for your high school math classroom to help students improve their critical thinking skills while previewing or reviewing content material. Pages of thorough explanations are included on how to use this routine in your classroom successfully. This resource, once introduced, can be used in a short chunk of a class as a content brain break, as a review of essential features, or as a preview of topics whil
Preview of AP Calculus Unit 1-Limits-Notice/Wonder Real-Life STEM Graph Worked-Out Example

AP Calculus Unit 1-Limits-Notice/Wonder Real-Life STEM Graph Worked-Out Example

Introduce a new instructional routine of Notice/Wonder! You can use the Notice/Wonder Routine for your high school math classroom to help students improve their critical thinking skills while previewing or reviewing content material. Pages of thorough explanations are included on how to use this routine in your classroom successfully. This resource, once introduced, can be used in a short chunk of a class as a content brain break, as a review of essential features, or as a preview of topics whi
Preview of Evaluating Limits Using Graphs Print and Digital Maze Practice

Evaluating Limits Using Graphs Print and Digital Maze Practice

Evaluating limits using graphs maze activity is a great way to check students understanding while keeping students engaged. While working through the evaluating limits using graphs maze activity, students will have the opportunity to practice comparing one sided limit vs two sided limit questions as well as solving function value problems. This resource includes BOTH a printable version and digital version that uses the same piecewise function graph allowing you to assign either version depend
Preview of GRAPHING RATIONAL FUNCTIONS - A NUMBER TILE Activity

GRAPHING RATIONAL FUNCTIONS - A NUMBER TILE Activity

GRAPHING RATIONAL FUNCTIONS - A NUMBER TILE ActivityUse the tiles 0 - 9 so that each equation is a true statement.Rather than giving your students a "drill and kill" worksheet, try this number tile activity where students: work together problem solve communicate mathematically have fun
Preview of PRECALCULUS & AP CALCULUS BC - BLANK POLAR GRAPHS

PRECALCULUS & AP CALCULUS BC - BLANK POLAR GRAPHS

Created by
MATH WITH YOSH
I created this document for my students to use when completing their homework that involves graphing Polar Coordinates and Polar Curves. That way when they have multiple homework problems that require them to graph, they can write the corresponding problem number on this paper and graph on the given grid. Sometimes my students prefer to complete their homework in a spiral bound notebook, and they will use one of these papers to cut out the grids and using a glue stick, glue it into their spiral
Preview of EVALUATING LIMITS GIVEN A GRAPH AND MANIPULATING LIMITS WORKSHEET

EVALUATING LIMITS GIVEN A GRAPH AND MANIPULATING LIMITS WORKSHEET

Created by
MATH WITH YOSH
This worksheet is intended for students after they have learned the following topics: 1.2 - Defining Limits and using Limit Notation 1.3 - Estimating Limit Values from Graphs 1.5 - Determining Limits Using Algebraic Properties of Limits 1.6 - Determining Limits Using Algebraic Manipulation It is perfect for a mid - unit review in Unit 1 (AP Calculus AB Course and Description). In this worksheet, I have included examples where students evaluate limits given a graph, evaluate left-hand and right-
Preview of Integrals & Geometry Problems Worksheets

Integrals & Geometry Problems Worksheets

Help students master applications of integrals with this engaging, no-prep calculus worksheet set! Students practice finding areas under curves, areas between curves, interpreting graphs, applying the Fundamental Theorem of Calculus, and solving real-world geometry problems.Designed for Calculus, AP Calculus AB, Honors Calculus, and advanced high school mathematics, this resource builds both procedural fluency and conceptual understanding.What's Included- 10 Student Practice Pages- Warm-Up Activ
Preview of Calculus Integration with Inverse Trig Functions Circuit Training

Calculus Integration with Inverse Trig Functions Circuit Training

Created by
Joan Kessler
Challenge your Calculus students' skills solving problems involving Integration with Inverse Trig Functions with this self-checking circuit style worksheet. This practice is designed to build your students' skills and proficiency. Included are 12 problems involving Inverse Trig functions including inverse sine, cosine, tangent, secant, and cotangent. Some problems include trig functions, exponentials and/or basic rules in which Inverse trig functions as components. Students should not need a
Preview of Create a Calc-u-lentine Box Activity

Create a Calc-u-lentine Box Activity

Created by
Laura Eloe
Give your Calculus students a "crush" on math this February! This hands-on project transforms the traditional Valentine’s Day card box into a comprehensive portfolio of Calculus applications. From maximizing volume to approximating the area of a heart, this project requires students to apply core concepts to a physical 3D object. This project is designed for High School Calculus (AB, BC, or Dual Enrollment). Students are challenged to design a card box where every side represents a different Cal
Preview of The Fundamental Theorem of Calculus and Accumulation Functions

The Fundamental Theorem of Calculus and Accumulation Functions

The Fundamental Theorem of Calculus and Accumulation Functions using Graphs includes 12 practice problems. The first four questions ask students to evaluate accumulation functions given a graph. These questions will also give students practice on how to find a definite integral from a graph using geometric shapes. The next four questions require students to apply the Fundamental Theorem of Calculus to an accumulation function then evaluate using a graph. The last four questions will have student
Preview of Guided Notes - Lesson 13.1, part 3 - Finding Areas

Guided Notes - Lesson 13.1, part 3 - Finding Areas

Created by
Counting Corner
IB Applications & Interpretations SL: Calculate definite integrals using GDC graphing calculators Practice problems (CW or HW)
Preview of Finding Limits Analytically FUN Notes Doodle Pages for Calculus

Finding Limits Analytically FUN Notes Doodle Pages for Calculus

Created by
Joan Kessler
Your Calculus students will love these Finding Limits Analytically and from Graphs FUN Notes Doodle pages, complete guided notes and practice in a fun format. Use with your lesson or as homework, assessment, or enrichment. This fun and engaging format is designed to teach the rules and give students the practice they need to succeed. What's included?Guided notes and explanations26 problems with a variety of methods Determining Limits from Graphs, Direct Substitution, Rationalizing, One Side
Preview of Guided Notes - Lesson 12.2, part 1 - Equations of Tangents and Normal

Guided Notes - Lesson 12.2, part 1 - Equations of Tangents and Normal

Created by
Counting Corner
IB Applications & Interpretations SL: Finding gradients and tangents from a graph (building a funicular railway up a mountain) Investigation using tangents to find when two paths will meet Introduce normal Examples Practice problems (CW or HW)
Preview of Calculus Derivative Practice Task Card Review Activity

Calculus Derivative Practice Task Card Review Activity

Calculus derivative practice task card BUNDLE includes the following six task card activities for a total of 128 problems!!! Click the links to view each activity. Using these task card activities will be a comprehensive practice for students on how to find derivatives of functions, derivatives at a point, higher order derivatives, tangent line examples, and finding derivatives using tables or graphs. Products Included in Bundle:Derivatives of Algebraic Functions – 24 Task CardsDerivatives Tr
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