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![Preview of What is a Derivative? [Activities for Exploration]](https://ecdn.teacherspayteachers.com/cdn-cgi/image/format=avif,quality=70,width=525,height=525,onerror=redirect/thumbitem/What-is-a-Derivative-Activities-for-Exploration--15187111-1767619323/750f-15187111-1.jpg)
What is a Derivative? [Activities for Exploration]
Do you just jump in to calculating the derivative without giving your students a chance to think about what a derivative really is? This collection of activities are great, short ways to get them to pause and think about what a rate of change really is. And what's the difference between an average rate of change and an instantaneous rate of change? These are excellent, classroom tested, ready-to-print activities that will fit naturally in your PreCalculus, Honors Calculus, AP Calculus, or Underg
11th - 12th, Higher Education
Applied Math, Calculus, PreCalculus
Carrying Out a Test for a Population Mean (7.5 AP Statistics Mega notes)
Help students learn how to perform a complete hypothesis test for a population mean using the one-sample t-test. These Mega Smart Notes guide students through every step of the hypothesis testing process, from checking conditions to computing the test statistic and writing a correct statistical conclusion. What’s Included • Step-by-step hypothesis testing procedure • Clear examples • Student-friendly explanations
11th - 12th, Higher Education
Applied Math, Math Test Prep, Statistics
Bitcoin & Chart Analysis – Real-Life Math for Grades 8 and Up
Have you ever wanted to introduce students to cryptocurrency or chart reading? This real-world math activity is the perfect starting point! Students will explore Bitcoin price movements using a real chart — all while building foundational skills in data interpretation and financial literacy. Note: The math is lower middle school-friendly, but the financial context makes it a better fit for grades 8+ or high school students ready to apply their knowledge! ✏ Students will (skills covered):
8th - 12th, Adult Education, Higher Education
Applied Math, Financial Literacy, Money Math
CCSS
HSF-IF.C.7
, HSS-ID.A.2
, MP4
+1
Montessori Math Activities for Middle School (Ages 12-15) | Hands-On Numeracy, F
Introducing "Montessori Math Freak" part 1: NUMERACY- Your Comprehensive Guide to Teaching Mathematics the Montessori Way! Table of Contents:Natural numbers, whole numbers, and rational numbersAddition, subtraction, multiplication, divisionSign rulesPowers and square rootsAbsolute valueLeast common multipleOrder of operationsFractions, decimal forms, and percentages"Are you looking for interactive and hands-on math activities for your middle school students? This Montessori-based resource is per
6th - 12th, Higher Education
Applied Math, Math
Calculus Derivative Worksheet Bundle
This bundle includes worksheets for finding and using derivatives: 1) Finding derivatives using the definition of derivative - includes an optional answer bank for you to give students if desired 2) Finding higher-order derivatives and using them in applications - Uses only the power rule 3) Applications of Derivatives to find velocity, acceleration and change in business calculations - Includes using the first and second derivative again using only the power rule. 4) A worksheet practicing usi
10th - 12th, Higher Education
Applied Math, Calculus
AP Calculus AB Unit 2 FRQ - Particle Motion (Scoring Guide included)
Practice FRQ to prepare for AP Exam
11th - 12th, Higher Education
Applied Math, Calculus
Definite Integrals and Areas Worksheets
Included are two practice worksheets for definite integrals:Find the integral equation and input the endpoints to find the definite integral. Answers may be positive or negative.Students do as many problems as they need in order to reach a specific answer sum. Find the area between the x-axis and the given curve using integration. On this worksheet, students will graph the equation to find the endpoints needed to set up the integral in order to get the total area. Students do all problems, fi
11th - 12th, Higher Education
Applied Math, Calculus, Graphing
Also included in: Calculus Integral Bundle - Integration Uses, Techniques and Practice
Recipe Math Puzzle - Converting Measurements - Peanut Butter Cups/Bars
This is a fun activity for students to practice addition, subtraction, multiplication, and simplification of fractions by converting measurements for a recipe! The recipe comes from Sally's Baking Addiction, and it is her Peanut Butter Bars Recipe. This can be done as a whole group, in small groups, or by individual students. If you have the ability to have the students make the recipe after solving the puzzle, it is totally worth it! They will love being able to make something that they solved
4th - 6th, Adult Education, Higher Education
Applied Math, Fractions, Order of Operations
CCSS
4.NF.A.1
, 4.NF.A.2
, 4.NF.B.3
+7
AP CALCULUS AB - 3.1 & 3.2 CHAIN RULE & IMPLICIT DIFFERENTIATION -FIND THE ERROR
This Calculus worksheet is intended for students after they have learned the Chain Rule (3.1 AP Calculus AB) and Implicit Differentiation (3.2 AP Calculus AB). When first learning the chain rule d/dx(f(g(x))= f'(g(x))g'(x), and implicit differentiation, students often struggle with remembering to multiply the f'(g(x)) expression, by g'(x). So in this worksheet, I have included several examples of actual written work that is incorrect, where students are to identify the student error that was mad
9th - 12th, Higher Education
Applied Math, Calculus, Math
AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET
This Calculus worksheet is intended for students after they have learned the 5.9 AP Calculus AB Topic: "Connecting a Function, Its First Derivative, and Its Second Derivative." When given the graph of f', often times my students struggle with identifying where the graph of f has a local minimum or maximum, where f is increasing/decreasing, or identifying where the graph of f is concave up/down, or has a point of inflection. Similarly, when given the graph of f'', they tend to struggle with ide
10th - 12th, Higher Education
Applied Math, Calculus, Math
Square roots method (quadratics)
This is the square roots method for solving quadratics
11th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, Applied Math
A new formula in 3-D geometry
Breakthrough in 3D Geometry: A Novel Formula for Spatial Point Positioning This work unveils a pioneering formula in 3D geometry capable of determining the exact position of a point in space using only the vertices of a defining plane. Going beyond conventional methods that stop at the plane’s equation, this approach directly quantifies a point’s spatial relationship—whether it lies on, above, or below the plane—with unprecedented simplicity and precision. The formula holds transformative potent
Higher Education
Applied Math, Calculus, Geometry
Calculus Applications of Derivatives Worksheet with Answer Key
Our students need to keep seeing applications for their learning, especially in STEM classes and higher-level math. This Calculus worksheet uses only the most basic differentiation skills (the Power Rule) and allows students to find answers to physics and business questions. An answer key with explanations is included. As a retired math teacher, I could never find enough resources for my Calculus class - especially in the area of application problems. Thank you for checking out this worksheet!
10th - 12th, Higher Education
Applied Math, Calculus, Physics
Also included in: Calculus Derivative Worksheet Bundle
Financial Literacy Unit 1: Income Growth and Career Planning L4
Income Growth and Career Planning - Complete Financial Literacy Lesson for High SchoolThis comprehensive lesson on Income Growth and Career Planning is part of a complete Financial Literacy curriculum designed specifically for high school students. With ready-to-use student materials and detailed teacher guides, this resource makes teaching complex mathematical modeling and career concepts accessible and engaging for students grades 9-12. WHAT'S INCLUDED:• Complete student lesson packet (PDF for
9th - 12th, Adult Education, Higher Education
Applied Math, Financial Literacy, Money Math
"The Social Dilemma" discussion cards
I used an Avery 8387 card template to create these cards for a discussion in a Theory of Knowledge classroom, but they would also work to discuss the intersections of the arts, human and natural sciences, and mathematics.
9th - 12th, Higher Education
Applied Math, General Science, Psychology
Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
Take your students beyond basic derivatives with this powerful Applications of Derivatives Cheat Sheet for AP Calculus! This 2-sided, one-page resource clearly organizes the most important concepts from Units 4 & 5, helping students apply derivatives in real-world and exam-style situations. 📘 What’s Included:• Mean Value Theorem (MVT) • Extreme Value Theorem (EVT) • Critical points and the Candidate’s Test • Increasing & decreasing intervals • First and Second Derivative Tests • Concavity and
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
Derivatives & Differentiability Cheat Sheet | AP Calculus AB/BC Rules & Formulas
Help your students master derivatives with this clear, comprehensive Differentiability & Derivative Rules Cheat Sheet for AP Calculus! This 2-sided, one-page resource is perfect for learning, review, and exam prep, covering all essential derivative concepts and formulas students need for success in AP Calculus AB and BC. 📘 What’s Included:• Definition of the derivative (multiple forms) • Difference quotient and rate of change • Average vs. instantaneous rate of change • Equation of a tangen
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Other (Math)
Linear Equations - Discussion Workbook
In this printable activity, students read a passage and explore a key question to prepare for a class discussion. They develop their own questions and find evidence from the text to share in class or small group discussion. This is an integration of ELA skills into Algebra Concepts. Linear Equations-DiscussionWorkbook It also includes slides for vocabulary, reading the article and taking notes, multiple choice questions, and a discussion worksheet for open-ended prompts.
8th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, Applied Math
Back to school Maze logic puzzle Math Game brain break Activities middle 7th 8th
Engage your students from day one with these challenging Back-to-School Logic Maze Activities—perfect for building focus, problem-solving, and perseverance for students in 4th, 5th, 6th, 7th, 8th, 9th, 10th, 11th, and 12th grades, upper elementary, middle school, or high school, early finishers, middle schoolers, high schoolers, Gate, gifted and talented, secondary school, homeschool, Kid Education, Junior high school ! These aren't just traditional mazes—each worksheet combines critical thinkin
4th - 12th, Adult Education, Higher Education
Applied Math, English Language Arts, For All Subjects, Vocabulary
Counting Change Activities | Life Skills Money Unit | Count Up & Rounding
Help your students build real-world money skills with this hands-on, structured Counting Change Unit designed for life skills, special education, and Access Points learners. This resource teaches students how to: ✔ Count up to find exact change ✔ Use the dollar-up strategy to estimate change ✔ Check if change is correct ✔ Build independence in real-life money situations Students practice through clear routines, visual supports, and repeated practice, making it perfect for learners who ne
1st - 12th, Adult Education, Higher Education
Applied Math, Money Math, Other (Math)
Careers in Statistics Bulletin Board - Math Careers Classroom Decor
Bring real-world connections into your statistics classroom with this engaging Careers in Statistics Display Set! Perfect for high school Statistics or AP® Statistics, this resource includes 21 career posters, a salary disclaimer poster, and bold title letters that spell “Careers in Statistics.”Each career poster features the job title, description, and how the career uses statistics or probability, helping students see the value of statistics beyond the classroom. Careers highlighted inc
9th - 12th, Higher Education
Applied Math, Statistics
Integral & Antiderivative Cheat Sheet | FTC, Riemann Sum & Integration Technique
Give your students a complete guide to integrals with this comprehensive Antidifferentiation & Integration Techniques Cheat Sheet for AP Calculus! This resource is designed as a 2–3 page reference sheet covering everything students need for Unit 6, including both AB and BC topics. 📘 What’s Included:• Riemann sums (left, right, midpoint, trapezoidal) • Area under the curve & accumulation • Fundamental Theorem of Calculus (both parts) • Average value of a function • Properties of definite int
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
Differential Equations Cheat Sheet | Slope Field, Separation of Variable & Euler
DescriptionHelp your students make sense of differential equations with this clear, student-friendly Differential Equations Cheat Sheet for AP Calculus! This 2–3 page resource organizes all essential Unit 7 concepts into a concise, easy-to-follow reference—perfect for both conceptual understanding and exam preparation. 📘 What’s Included:• What a differential equation is + general vs. particular solutions • Direct, inverse, and exponential growth/decay models • Interpreting and analyzing slo
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
Integral Applications Cheat Sheet | Area, Volume, Particle Motion, Accumulation
Help your students connect integrals to real-world meaning with this comprehensive Applications of the Definite Integral Cheat Sheet for AP Calculus! This 2–3 page resource clearly organizes the most important concepts from Unit 8, giving students a structured, easy-to-follow reference for both conceptual understanding and AP Exam success. 📘 What’s Included:• Accumulation and net change (with real-world contexts) • Interpreting integrals using units (NUT strategy included!) • Riemann sums
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
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