Percent Increase and Decrease Quiz
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Programs & methods
Properties of Functions and Function Library
This is an intense 28 page packet that covers topics and examples for the basics of functions
domain and range
continuity
intervals of increase and decrease
extrema
symmetry
asymptotes
x and y intercepts
end behavior
and then the following function families
linear
quadratic
cubic
square root
cube root
absolute value
reciprocal
exponential
logs
sine
cosine
greatest integer
all functions have a place for a sketch, table of values, function behavior (inc/dec/constant), end behavior, symmetry, domai
10th - 12th
Algebra 2, Calculus, PreCalculus
Function Project with Key
Student project rubric and key for quadratic, square root, cubic, and cube root functions. Students present their function to the class with a table, graph, transformations, increasing and decreasing intervals, intercepts, secant line, distance, and inverse function.
11th - 12th
Algebra 2, PreCalculus
AP Calculus Christmas Graphing Activity - Connecting f f' f'' - Coloring Sheet
Welcome in the holiday season with this fun review activity based on several standards from AP Calculus listed below! 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points5.3 Determining Intervals on Which a Function is Increasing or Decreasing5.4 Using the First Derivative Test to Determine Relative Local Extrema5.6 Determining Concavity of Functions over Their Domains5.8 Sketching Graphs of Functions and Their Derivatives5.9 Connecting a Function, Its First Derivative, an
9th - 12th
Calculus, PreCalculus
AP Calculus AB Summer Prep Work - Version 2
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
AP Calculus AB Summer Prep Work - Version 3
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
11th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
Polynomial Rollercoaster Project – Real-World Algebra 2 & Pre-Calculus Activity
Give your Algebra 2 or Pre-Calculus students a memorable and hands-on way to explore polynomial functions with this high-interest Rollercoaster Design Application Project! Students will create a piecewise polynomial function that models a rollercoaster path—complete with ups, downs, steep drops, and thrilling loops—then bring it to life with a graph, sketch, and written analysis in this engaging performance task. Bring polynomial functions to life with this engaging Rollercoaster Design Proj
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSA-APR.C.5
, HSF-IF.B.4
, HSF-IF.B.5
+10
Polynomial Roller Coaster Project
This project can be used in an Algebra 2 or Pre-Calculus (CP or Honors) class. This project uses students creativity along with their knowledge of analyzing polynomial graphs to create a polynomial roller coaster. The Math: Students will create the equation in factored form (this is to ensure that have the correct number of zeros). Students will then rewrite the equation in standard form (for honors I have had them multiply the polynomial by hand & for CP I have had students use an online
9th - 12th
Algebra 2, Math, PreCalculus
Cryptography and Matrices
Doing cryptography with matrices is always fun! I used this as a quiz -- students had to decode the message "Once upon a time in a far away land..." and then for extra credit they get to finish the sentence. I got some really fun endings and students were excited when they decoded the message correctly. I've attached my work to show how I originally encoded the matrix. This could easily be modified to be turned into a project or another activity.
10th - 12th
Algebra 2, Math, PreCalculus
Creative Algebra 2 / Pre-Calculus Curriculum Guided Notes | Activities | Project
284+ of my best-selling Algebra 2 and Pre-Calculus notes, worksheets, activities, and projects all in an organized, money-saving bundle! This includes over 3,800 pages of content. These engaging, student/teacher-approved math projects provide rigor, relevance, and cross-curricular content. Download the preview to see the entire product list!Included in this Algebra 2/Pre-Calculus Curriculum are all of my Algebra 2/Pre-Calculus CSI, Boot Camps, Adventures, Whodunnits, Person Puzzles, Mathletes,
8th - 12th
Algebra 2, Math, PreCalculus
Recycling in Gilbert, AZ
The Town of Gilbert, since 2002, has seen increases in revenue generated from its recycling program. With an increase in population, Gilbert has also seen an increase in the amount of recyclables collected. Furthermore, a recent newspaper article indicated that Gilbert has gone from getting $5 per ton to $42 per ton for recyclables. Recent data showing the amount of revenue generated and the amount of recyclables collected are shown in the table below.
Students use the data to create mathematic
9th - 12th, Higher Education
Algebra 2, Applied Math, PreCalculus
CCSS
HSF-LE.A.1
, HSF-LE.A.1a
, HSF-LE.A.1b
+4
AP Precalculus Project | Rethink Aging Power and Communication Structures
Across the United States, aging infrastructure—especially in power and communication lines—is becoming a growing challenge. Outdated poles, aging support structures, and increasing demands from smart devices and electric vehicles are placing unprecedented strain on old systems. Students today will be tomorrow’s engineers, analysts, and decision-makers—and they need relevant experiences that prepare them for those roles. Rebuilding the Grid: Using AP Precalculus to Rethink Aging Power and Communi
9th - 12th, Adult Education, Higher Education
PreCalculus
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
Engaging High School Mathematics Instruction
This book contains 45 instructional strategies and sets of problems that will help students become better learners and better mathematicians. Just as rock climbing builds students' physical strength, our problems and strategies help students build up their mathematical capabilities. The book includes some unique problems an instructional strategies that we have used in our classes, ideas that other teachers have shared with us, and problems and adaptations of traditional textbook problems.
9th - 12th
Algebra, Geometry, PreCalculus
Polar Graphs Digital Art Project
Students make designs using polar equations on Desmos.com and then post them on a digital bulletin board that can be shared with the entire class, school, or community! A rubric is included for the teacher's convenience, and a link to a sample bulletin board is also included! Access to all websites needed for this activity is FREE. It will be helpful for the teacher to have some experience with desmos.com Click HERE to SAVE BIG by buying the Precalculus Full Curriculum Bundle. This bundle conta
11th - 12th
Math, PreCalculus
Algebra 2 Functions Unit Bundle | Activities, Assessments, Guided Notes
Everything you need to teach, practice, and assess functions in one comprehensive bundle! This Functions Unit Bundle includes guided notes, task card activities, and assessments designed to build student understanding step by step while reinforcing problem-solving and critical thinking. What’s Included: Guided Notes for key concepts in the functions unit (clear explanations + student examples)2 Task Card ActivitiesFunction Composition Task Card ChallengeFunction Ordering & Input/Output Sequencin
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+14
Crop Circles -- Unit Circle, Radian and Degree - 21st Century Math Project
At dusk, it … happens. Crop Circles have become a pastime of sorts around the world. Originally considered to be the work of aliens, they’ve baffled millions with their elaborate designs and timeliness of their work. With knowledge of the unit circle, radians and degrees students will be able to construct these masterpieces in short order. In this 21st Century Math Project, you will be given a mapping to the Content Standards, an outline for how to implement the project, 3 assignments and one pr
10th - 12th
Math, Other (Math), PreCalculus
CCSS
HSA-CED.A.2
, HSF-TF.A.1
, HSF-TF.A.2
+1
Tunnel of Eupalinos - Engineering - Law of Sines & Cosines Hands-On Math Project
Put your advanced trigonometry skills to use as a civil engineer in this 21st Century Math Project. The Tunnel of Eupalinos is a mathematical marvel in which in 6 BC an aqueduct was constructed through a mountain. This feat is even more impressive because both ends of the tunnel were dug at the same time. They believed they would be able to meet in the middle... and they did! Use this piece of history as a conduit for advanced geometry. If you choose to take the project to the end students will
8th - 12th
Geometry, Math, PreCalculus
CCSS
HSG-SRT.D.11
Health v. Wealth - International Data & Correlation - Real World Math Project
A real world statistics project! Correlations and causation should be abundantly clear when students examine data of the Health and Wealth of over 80 nations around the world. The world is ever-changing and it is important for students to have a basic level of global awareness. In this 21st Century Math Project, students will use real world data to model regression functions, examine correlations and predict the future. In this project students will investigate global data sets to examine poten
7th - 12th
Algebra, PreCalculus, Statistics
CCSS
HSF-IF.B.4
, HSF-LE.A.1
, HSF-LE.A.3
+8
Angry Penguins - Piecewise & Transformations Algebra 2/Precalc Math Project
I have found that piecewise functions is one of the more conceptually challenging for students. Through this manipulative, engaging activity students will have a much stronger understanding of this concept. And they will "poof" some seals. In American culture people have an affinity for launching birds, pheasants and other sorts of fowl at oblivious targets with a sling shot. Where does this fascination come from? Nobody knows. Nonetheless, it makes for an interesting quadratic function applic
7th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
, HSF-IF.B.5
+6
Functions and Relations Mini Project - When Will I Ever Use This?
"When will I ever use this?" The famous question asked by every Algebra student. Give your students a REAL application of systems of inequalities with this mini project! When textbook application problems aren't cutting it to spark your students' interest these "When Will I Ever Use This" mini projects will give them the real life application they are craving to know. From doctors, to accountants, to business owners, and beyond, algebra is used everyday by a variety of professionals. Profession
8th - 11th
Algebra, Algebra 2, PreCalculus
Also included in: "When Will I Ever Use This?" - Real Life Algebra Projects
Precalculus and Calculus Project |Derivatives Rules Review| Mystery Project
This Precalculus and Calculus Derivative Project includes 48 questions to Solve the Mystery of the Missing Math Manuscripts! Students will complete 4 Clue Sheets that cover the power, product, quotient and chain rules ! After they solve all 4 sheets they will discover that one person, time and location was not used. They will decode the letters with a corresponding number and discover the code to get the objects back! This code is a great way to quickly check students work & an answer key
11th - 12th
Calculus, PreCalculus
Seven Billion and Counting... -- Int'l Modeling - 21st Century Math Project
As the world's population has ballooned in the past three centuries researchers wait for the other pen to drop. This 21st Century Math Project investigates! Currently sitting at a cool 7 billion (and counting), researchers believe (based on their models) that the world's population will top out at 9.2 billion. It's time for your class to analyze the same data and make their own predictions. Which model best projects the world in 2050? I guess at the class's 38th year reunion you can find out. Th
7th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
8.SP.A.2
, 8.SP.A.3
, 8.F.B.4
+6
Conic Sections Project | Desmos Art | Parabolas, Circles, Ellipses, & Hyperbolas
Transform your conic sections unit into a creative and rigorous exploration with this Conic Sections Desmos Art Project! Students will graph parabolas, circles, ellipses, and hyperbolas to design original digital art using the Desmos Graphing Calculator. This project is a fantastic option for reinforcing key math concepts or as a Pre-Calculus or Algebra 2 culminating end-of-term assignment that highlights student understanding in a meaningful, creative way. What’s Included: Full teacher directio
10th - 12th
Algebra 2, Graphing, PreCalculus
Right Triangle Trig Bundle | Sine Cosine Tan | Notes, Practice, Project & Test
Make teaching right triangle trigonometry simple, structured, and engaging with this ready-to-use bundle. This resource walks students through sine, cosine, and tangent from introduction to application, ending with a hands-on project that reinforces understanding. This bundle is perfect for teachers who want a clear progression without having to piece together multiple resources. What’s included: Trigonometric ratios (sine, cosine, tangent) guided notes Solving sides and angles with trigonometr
6th - 12th
Algebra, Geometry, PreCalculus
CCSS
HSG-SRT.C.6
, HSG-SRT.C.7
, HSG-SRT.C.8
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