Basic Function Tables
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Programs & methods
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
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
MHF4U - Advanced Functions Gr 12 - Culminating Performance Task (CPT)
MHF4U Culminating Task – Advanced Functions (Ontario Grade 12)Bring your course full circle with this comprehensive, curriculum-aligned culminating task designed specifically for the Ontario Grade 12 Advanced Functions (MHF4U) course. This rich performance task challenges students to demonstrate mastery of key concepts while making meaningful connections between multiple function families. THEME : Hiking the Salkantay Trail in Peru to Machu PichuThis document is a 27 Page PDF. 1) The task is sp
12th, Adult Education, Higher Education
Algebra 2, Applied Math, Calculus
CCSS
HSF-IF.C.7c
, HSF-IF.C.7d
, HSF-IF.C.7e
+1
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
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
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
Tables of Equivalent Ratios Doodle Notes
Bring Lesson 1.2 of McGraw Hill Reveal Math Grade 6 to life with this resource that includes doodle notes and practice problems! Designed to help students understand equivalent ratios and really internalize the concepts, this product supports both visual learners and those who benefit from guided practice. What’s Included: Student-friendly doodle notes aligned to Reveal Math 6, Lesson 1.2 Practice problems that reinforce lesson objectives Perfect for use in classwork, homework, small groups
5th - 8th
Algebra, Applied Math, Fractions
CCSS
6.RP.A.3
, 6.RP.A.3a
Also included in: Math 6 Doodle Notes - Understanding Ratios
Trigonometric Functions to Find Angle Measures Riddle Worksheet
Trigonometric functions to find angle measures. SOH CAH TOA math riddle worksheet
9th - 12th
Applied Math, Geometry
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
AP Statistics Year Long Project
This project is meant to take all year and covers the basic components of statistics: collecting, analyzing, and interpreting data! Collecting Data: Students will collect a sample of data on 4 variables (2 quantitative and 2 categorical) with sample size 50. They must decide what type of sampling method they will use and if they're going to be completing an observational study or experiment. Analyzing Data: Students will analyze both categorical and quantitative data using various displays. The
10th - 12th
Applied Math, Statistics
AP Statistics Inference Stations Review - AP Exam Review Activity
Help your students crush their AP Stats exam review by introducing or reviewing all TI-84 Plus CE inference calculator functions with this Inference Review Stations activity before the AP Exam (for confidence intervals and significance tests). This activity familiarizes your students with the most time-efficient approaches to answering inference questions, which can be a huge help while completing multiple-choice or free-response questions. Time is a HUGE factor during the AP Exam, and usin
10th - 12th
Applied Math, Statistics
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
Introduction to the Derivative
This document introduces the single-variable derivative, a central operation in calculus. It includes a visual, from-scratch explanation, mathematical definitions, helpful ways to understand the meaning of the derivative, tables of rules, and examples of its many useful applications.
10th - 12th, Higher Education
Applied Math, Calculus, Math Test Prep
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
Winter Math Bundle No Prep Activities for Special Ed, Kindergarten & Enrichment
Save big and easily differentiate instruction with this Comprehensive Winter Math Bundle for Kindergarten!Struggling to meet the diverse needs of your students this winter? This No Prep bundle includes 3 full packets of engaging winter-themed math worksheets, ranging from basic fine motor skills and counting (1-5) to advanced addition and numbers up to 20. Whether you need materials for special education intervention, standard morning work, or enrichment for early finishers, this bundle has you
PreK - 1st
Applied Math, Numbers, Order of Operations
Goldie’s AP® Statistics UNIT 2 CURRICULUM | NEW 2026 CED
AP Statistics Unit 2 – Probability, Random Variables, and Probability DistributionsComplete Unit Curriculum This unit covers Probability, Random Variables, and Probability Distributions in AP® Statistics and is fully aligned to the 2026–2027 AP® Statistics CED. Students develop a strong foundation in probability by learning how to calculate and interpret basic probabilities, conditional probability, and probabilities involving unions and intersections of events. The unit also introduces two-v
11th - 12th
Applied Math, Statistics
Also included in: Goldie's FULL CURRICULUM for AP® Statistics | NEW 2026 CED
Statistics Mini Project- What is Statistics?
What is statistics? Mini Project This can be used as an intro into statistics at the beginning of the year or a fun easy end of year project. Students will survey classmates on a topic of their choice, present the data in a graphical display, and discuss their findings. This can be used with basic statistics course or as an easy intro/end of year assignment for AP Statistics.
8th - 12th
Applied Math, Statistics
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
AP Precalculus FRQ 2 Test Prep Notes: Big Ideas & "What to Do When"
This handout reviews major concepts tested on Free Response Question #2. Secant LinesAverage Rate of ChangeEstimating using Average Rate of ChangeOverestimates and UnderestimatesError and Confidence in EstimatesDomain and Range RestrictionsThe "What To Do When ..." page pairs a process with four common question stems for Free Response Question #2. Concepts include ... Using data from a contextual scenario to write equations given a model functionUsing data to calculate unknown values of a functi
9th - 12th
Applied Math, Math Test Prep, PreCalculus
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
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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