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)
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
Excel's PMT (Payment) Function for Loan and Investment Payments
Included in this resource is an Excel workbook demonstrating three applications of Excel's PMT (payment) function: calculating monthly payments for (1) car payment, (2) mortgage payment, and (3) monthly investment payment to reach an investment goal.
7th - 12th, Adult Education, Higher Education
Applied Math, Business, Financial Literacy
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
Excel's PMT (payment) Function Reference Guide
This reference guide illustrates how to apply the Excel PMT (payment) function with step-by-step instruction to calculate a monthly car payment, mortgage payment, and a monthly investment payment in order to reach a future investment goal.
7th - 12th, Adult Education
Applied Math
Also included in: Excel's PMT (Payment) Function for Loan and Investment Payments
IB Applications & Interpretations SL: Unit 9-Modeling Relationships w/ Functions
IB Applications & Interpretations SL, Unit 9 - Modeling Equations with Functions - Power Functions. This bundle includes 6 guided notes lessons, teacher guides for each day, 2 assessments and assessment reviews (lessons 9.1-9.3 and 9.4-9.5), and an assignment sheet pacing guide, including recommended hw extra practice. Topics include: 1) Properties of Quadratics 2) Changing to Standard Form 3) Solving Quadratics - Quadratic Formula 4) Properties of Parabolas 5) Quadratic Applications - Project
10th - 12th
Algebra 2, Applied Math
CCSS
MP1
, MP2
, MP3
+5
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
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 exponential and logarithmic functions
Power Point presentation, 11 slides, Explaining with examples how the exponential and logarithmic functions are used in real life situations, based on IB Mathematics: Analysis and approaches, Standard Level Syllabus. More resources www.mathssupport.org
11th - 12th
Applied Math, PreCalculus
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
Guided Notes-Lesson 13.2, part 2-Integration-Reverse Process of Differentiation
IB Applications & Interpretations SL: Investigation comparing similar functions with differing constants Calculating c when given a coordinate point ordered pair Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
+5
Also included in: IB Applications & Interpretation SL: Units 1-13 Complete Course
Guided Notes - Lesson 12.2, part 2 - Equations of Tangents and Normal
IB Applications & Interpretations SL: Finding derivatives of rational functions on a GDC Practice problems (CW or HW)
10th - 12th
Applied Math, Calculus
CCSS
MP1
, MP2
, MP3
+5
Also included in: IB Applications & Interpretation SL: Units 1-13 Complete Course
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
Complete 2 Day Lesson on Linear Patterns and Proportional Relationships
Lesson 1 of 4 - 2 Day Lesson Plan - Visual Patterns, Linear Tables, and Unit Rates Build a solid foundation for understanding linear relationships with this comprehensive, ready-to-use lesson packet! Perfect for Algebra 1, intervention, or real-world math applications, this resource helps students connect visual patterns, data tables, and unit rates in a way that feels meaningful and accessible. This packet includes everything you need to introduce and reinforce key concepts, while building stud
8th - 12th
Algebra, Applied Math, Other (Math)
CCSS
HSF-BF.A.2
, HSF-LE.A.1a
, HSF-LE.A.1b
+1
IB Applications & Interpretations SL: Unit 11-Modeling Periodic Phenomena - Trig
IB Applications & Interpretations SL, Unit 11 - Modelling Periodic Phenomena - Trigonometric Functions. This bundle includes 3 guided notes lessons + homework, teacher guides for each day, 1 assessment and assessment review (lessons 11.1-11.3). Topics include: 1) An Introduction to Periodic Functions 2) An Infinity of Sinusoidal Functions 3) A World of Sinusoidal Models
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
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
IB Applications & Interpretations SL: Unit 5 - Modeling Constant Rates of Change
IB Applications & Interpretations SL, Unit 5 - Modeling Constant Rates of Change - Linear Functions. This bundle includes 7 guided notes lessons, teacher guides for each day, 2 assessments and assessment reviews (lessons 5.1-5.3, and 5.4-5.6), a performance task (can be used as a final exam if appropriate time of year), and an assignment sheet pacing guide, including recommended hw extra practice. Topics include: 1) Relations and Functions 2) Linear Models and Direct Variation 3) Inverse Relat
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
IB Applications & Interpretations SL: Unit 10-Modeling Rates of Change-Exp & Log
IB Applications & Interpretations SL, Unit 10 - Modeling Rates of Change - Exponential and Logarithmic Functions. This bundle includes 5 guided notes lessons, teacher guides for each day, 2 assessments and assessment reviews (lessons 10.1-10.3, and 10.1-10.5), 2 end-of-unit performance tasks, and an assignment sheet pacing guide, including recommended hw extra practice. Topics include: 1) Exponential Models 2) Simple Interest and APR Investments 3) Compound Interest 4) Annuities and Amortizati
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
Area and Perimeter No Prep Packet | Geometry Math Printables & Word Problems
✨ What’s Included in This Packet:This resource is packed with engaging, scaffolded worksheets to guide students from basic concepts to advanced application. Activities include: 📏 Intro to Area & Perimeter: Foundational practice where students learn the basics by counting square units and calculating the outside edges.🧠 Advanced Area Calculations: Students level up their geometry skills by calculating the area of more complex, combined shapes.🛠️ Real-World "DIY" Word Problems: Math applied to
4th - 12th
Applied Math, Basic Operations, Geometry
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