Basic Function Tables
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TED Talk: Where do math symbols come from?- John David Walters
This TED-Ed companion resource explores the origins and purpose of mathematical symbols, revealing how they function as a language designed to simplify and communicate complex ideas. Students learn where symbols like the equals sign, plus sign, exponents, and sigma notation came from and why mathematicians rely on symbolic shorthand. The resource includes 20 discussion questions, a structured debate with clearly labeled positions, and two essay-writing options: a fully expanded, evidence-bas
9th - 12th, Adult Education, Higher Education
Applied Math, Basic Operations, Other (Math)
The Complete Cartesian Diver
The popular science toy, the Cartesian diver, is not only fun to play with, it also connects to at least five scientific principles and laws. • Archimedes' Principle • Pascal's Principle • Boyle's Law • Newton's First Law of Motion • Pressure as a Function of Depth in a fluid A Cartesian Diver is easily made from a 2-Liter plastic bottle and a glass eyedropper. Making a working Cartesian diver is a 100% successful activity.
4th - 10th, Adult Education, Higher Education
Applied Math, Basic Principles, Physical Science
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
Derivative of functions
The study of derivatives is a cornerstone of calculus, marking the transition from static algebra to the mathematics of change. This chapter focuses on how functions behave at a specific moment, providing the tools to measure sensitivity, steepness, and motion. 1. The Concept of Instantaneous ChangeAt its core, a derivative represents the instantaneous rate of change of a function with respect to a variable. While algebra allows us to calculate the average speed over an interval, the derivative
10th - 12th, Higher Education
Applied Math, Calculus, Math Test Prep
Also included in: Derivative of Functions review
Exact Value Trig Functions AP PreCalculus Calculus Guilty Party IB Radians
The game of Clue requires deductive reasoning, logic, and critical thinking skills to solve the mystery. By gamifying a math problem to mimic the structure of Clue, students are encouraged to use these same skills to solve mathematical problems, thereby enhancing their problem-solving abilities. Students work collaboratively to solve the 10 math problems and use the clues to solve the mystery. Clues can be posted around the classroom and students show their work and solve the mystery on their i
9th - 12th, Higher Education
Applied Math, Calculus, PreCalculus
Titanic two-way contingency tables to determine dependency
Given two 2-way contingency tables, students calculate contingency percentages after completing 2-way tables involving Titanic survival stats and then Eczema cream effectiveness. By comparing percentages, it can be determined whether or not evidence for DEPENDENCE between two variables can be suggested.
10th - 12th, Adult Education, Higher Education
Applied Math, Statistics
CCSS, NGSS
W.11-12.1
, W.11-12.1a
, HS-ESS3-1
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
Applications of Calculus With Higher Order Derivatives
In this worksheet, students will find multiple derivatives of a function and then use these derivatives to find displacement, velocity and acceleration. These physics applications are some of the easiest ways for students to see where derivatives are used in real life situations and to connect calculus to things they are learning in their classes. Only the power rule is needed for these problems, so this worksheet can be used before the other derivative rules have been learned. An answer she
10th - 12th, Higher Education
Applied Math, Calculus, Physics
Also included in: Calculus Derivative Worksheet Bundle
TED Talk: Inside your computer- Bettina Bair
This engaging resource breaks down how a computer processes a simple mouse click, helping students understand core concepts like CPU function, memory, and input/output systems. Includes • 20 comprehension and critical thinking questions • Detailed essay prompt • Structured essay with sentence starters • Classroom debate activity • Discussion starters for deeper understanding Grades: 8–12 | Print-and-go
9th - 12th, Adult Education, Higher Education
Applied Math, Computer Science - Technology, Engineering
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
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
3rd-6th Multiplication Worksheet Math Practice
Multiplication Table Digital Worksheet – Fun & Effective Learning!Make mastering multiplication easy and engaging with this printable digital worksheet! Perfect for students, teachers, and homeschoolers, this resource helps build strong math foundations through clear, structured practice. ✔️ What’s Included: Multiplication tables (1–12) Easy-to-read layout for quick learning Practice sections to reinforce skills Instant download – print and use anytime ✔️ Perfect For: Elementary students (G
1st - 12th, Adult Education, Higher Education
Algebra, Algebra 2, Applied Math
CCSS
MP1
, MP2
, MP3
+5
The Who, What, When, Where and Why of Integrals Lesson and Worksheets
Four integral resources are included: An integral explanation sheet, covering the 5 W’s of integrals. Students will learn why integrals are utilized, where they are used in real life, a little history about them and how they are related to derivatives.A question-and-answer worksheet to accompany the explanation sheet.An introduction to finding basic integrals worksheet; students find answers in a grid and color to make a pattern.A sheet where students find indefinite equations and calculate the
10th - 12th, Higher Education
Applied Math, Calculus
Also included in: Calculus Integral Bundle - Integration Uses, Techniques and Practice
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
Definite Integral Applications Cheat Sheet | Area, Volume, Particle Motion, ...
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
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
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