Function Chart
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Programs & methods
Derivative of Functions review
A derivative represents the instantaneous rate of change of a function with respect to a variable. In practical terms, it describes the slope of a tangent line at any given point on a curve. Core Differentiation Methods Chain Rule (Composite Functions): Used for nested functions, where the derivative is the "outside" derivative multiplied by the "inside" derivative.Implicit Differentiation: Applied when variables are intermingled (e.g., y^2 - 3xy + x^2 = 7), requiring both sides to be differenti
10th - 12th, Higher Education
Applied Math, Calculus, Other (Math)
Exponential Functions Candy Lab – Decay, Growth & Modeling (TI-84 + Desmos)
Make exponential functions interactive and memorable with this real-world, candy-based math lab! Students explore exponential decay and growth using Skittles, M&Ms, or pennies, and use either Desmos or TI-84 calculators to model their data. It’s now fully updated with an example answer key, Desmos example, and editable Google Doc Versions, all included in one convenient file! What’s Included: 2 full versions of the lab: ➤ TI-84 Calculator Instructions ➤ Desmos Graphing InstructionsEditable
8th - 12th
Algebra 2, Applied Math, Graphing
CCSS
HSF-LE.A.2
, HSF-LE.A.3
Real-Life Piecewise Functions: Water Bill Step-by-Step Precalc Investigation
Bring piecewise functions to life with this engaging real-world Precalculus task that connects math concepts to a relatable, authentic scenario — calculating water bills using real data from Palm Bay, Florida and other U.S. counties! Students explore tiered water rates and build mathematical models that help them understand how piecewise functions, slopes, and continuity apply to real-world pricing systems. Perfect for Precalculus, Algebra 2, or Functions and Modeling units. Students are intro
9th - 12th
Algebra 2, Applied Math, PreCalculus
Modeling with Linear Functions – Graphing, Tables, and Word Problems
Looking for a comprehensive Algebra 2 resource that engages students in real-world linear modeling? This editable worksheet set is designed to help students master how to write, graph, and interpret linear functions using word problems, tables, and graphs. With a structured format and 60 scaffolded questions, this resource is ideal for classroom instruction, homework, test prep, or independent practice. What’s Included: 90 to 120 minutes of Algebra 2 practice Six structured sections that build c
8th - 11th
Algebra 2, Applied Math, Graphing
CCSS
8.EE.C.7
, 8.F.A.1
, 8.F.B.4
+4
Also included in: Algebra 2 – Linear Functions Bundle (Editable Worksheets + Answer Keys)
Graphing Sine & Cosine Functions – Algebra 2 Worksheet + Answer Key
Graphing Sine & Cosine Functions – Algebra 2 Worksheet + Answer Key | CCSS HSF.TF.B.5 AlignedThis comprehensive Algebra 2 worksheet is designed to help students master graphing sine and cosine functions through structured practice and real-world application. Aligned to Common Core Standard HSF.TF.B.5, this resource focuses on modeling periodic phenomena using trigonometric functions with specified amplitude, frequency, and midline. Ideal for in-class assignments, homework, assessments, or sub p
8th - 11th
Algebra 2, Applied Math, Graphing
CCSS
HSF-TF.B.5
Also included in: Algebra 2 Trig Unit 9 Bundle – Ratios, Radians, Graphs & Identities
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: 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)
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
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
AP Precalculus Free Response Question 3 Test Prep Review Stations
Keep students engaged during AP Precalculus test prep with these FRQ #3 stations! Students will focus on constructing models of periodic (sinusoidal) contexts. In a series of nine stations, students will work through THREE real-world scenarios ... Labeling five key points on a graphWriting both a sine and cosine equationDescribing an interval as positive/negative, increasing/decreasing, concave up/concave downDeterming how the rate of change of the function is changing over a certain interva
9th - 12th
Applied Math, Math Test Prep, PreCalculus
Data Management Rich Word Problems | Grades 3–4
Looking for meaningful, discussion-based data management problems that get students thinking, talking, and justifying their reasoning? This Data Management Rich Word Problems resource is designed to build deep understanding through real-world scenarios that encourage students to analyze data, make comparisons, and explain their thinking. ✨ Perfect for math talks, problem-solving lessons, small groups, or assessment!What’s Included: ✔️ Engaging real-life word problems focused on data manage
2nd - 5th
Applied Math, Basic Operations, Numbers
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
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
100 Algebra 1 Word Problems – Real World Applications | Test Prep Grade 7-9
Give your students the real-world algebra practice they actually need with this 100-question multiple choice worksheet bundle where every single problem is set in a practical, relatable context — jobs, money, travel, shopping, science, sports, and more. No abstract equation drills. Every problem asks students to set up, solve, and interpret algebra in context — exactly what standardized tests and real life demand. WHAT'S INSIDE — 4 SECTIONS, 25 PROBLEMS EACH:SECTION 1 — LINEAR EQUATIONS & EXPRES
7th - 9th
Algebra, Applied Math, Other (Math)
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