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
Polynomial Function Project - Roller Coaster
In this project, students learn how to use polynomial function to model roller coaster rides. In this first part, they are given some polynomial functions to find the relative maximum/minimum, increasing/decreasing intervals, x- and y-intercepts, etc. They will explore the average rate of change. In the second part of the project, students are asked design their own roller coaster given some basic criteria. Students should use graphing devices/computer applications to complete this project.
9th - 12th, Higher Education
Algebra 2, Applied Math, PreCalculus
Plight of the Adelie Penguins: An Exponential Decay Activity
Plight of the Adelie Penguins is an environmental/threatened species themed activity to demonstrate how algebraic exponential functions can be used to model real world situations.
There has been an 85 percent decrease in the Adelie penguin population along the western Antarctic Peninsula since 1974. The population size of one such colony of Adelie Penguins is modeled by an exponential decay equation. In this activity, your students will work together to:
* Use replacement values to evaluate
9th - 12th, Higher Education
Algebra, 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
Exponential Functions and Grain of Rice Project
This is a differentiated activity incorporating exponential functions and "The Grain of Rice Story." As a class, the story is read in play form. Students are assigned parts to read. Then students are broken into groups designated by readiness. Each group is assigned a task based on the story. All tasks require the groups to make a table, graph, and write an equation based on a situation related to the story read. Tasks increase in difficulty from 1 through 4. Groups must make a poster displaying
8th - 12th
Algebra, Algebra 2, 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
Spreadsheet Project - Modelling, graphing, diffusion and transport equations
Spreadsheet projects are designed to work in an online learning format, especially if the teacher can share their screen or share an editable document with their class. The style is quite different from the textbook presentation which is heavy on calculation and external applications. The spreadsheet operations do most of the calculation and the aim is exploration of structure that a real mathematician would care about. This resource contain a lesson for one day along with exercises. The cont
9th - 12th
Algebra 2, Physics, PreCalculus
Function Transformations Creation Project
The problems and activities within this document are designed to assist students in achieving the following standards: HSF.LE.A.1 and HSF.BF.B.3 as well as the standards for mathematics practice. They are also designed to help the teacher assess the students’ abilities when it comes to working with the ideas within the standards.
This document contains an activity that provides students the opportunity to create a function, answer questions regarding its transformations, and create questions re
6th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, 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
PreCalculus Curriculum
This bundle of resources includes my ENTIRE library of Pre-Calculus foldables, activities and projects PLUS all future Pre-Calculus resources. Interactive notebook foldables and notes, math detectives, coded messages, paper chains, task cards, projects and more! This bundle, when complete, will be over 500 pages and will be worth more than $500. Price will increase as new resources are added. Topics Included and planned:- Unit 1- Functions and their graphs- Unit 2- Polynomial Power functions a
10th - 12th
Math, Other (Math), PreCalculus
Credit Card Debt Project (Exponential Functions in the Real World)
Through this project, students will… - Apply exponential functions in the real world. - Become aware of the increasing credit card debt in the United States. - Learn to be careful consumers of credit to avoid unnecessary short falls, huge debt, and bad credit ratings. - Use the knowledge that they gather through research and assignments, to create a PowerPoint presentation about the responsible use of credit in our society. They will also create pamphlets that provide useful information about cr
9th - 12th
Algebra 2, Math, PreCalculus
Also included in: Math in the Real World Projects Bundle
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
Angle Holiday/Christmas Ornaments
Looking for a little project to do in December? Have your students make holiday ornaments using their angle measure skills! I assign this as a small quiz grade, and this year I even assigned it virtually and had students send me photos of their finished projects. You could also assign it as a take home (maybe extra credit even) over the December break. I randomly assign each student an angle in radian measure (my sheet of angles is attached), and for their angle they convert it to degrees, draw
9th - 12th
Algebra 2, PreCalculus
Battery Capacity and Power Demand: A Precal Sequences and Series Project
Project Overview This project engages students in mathematical modeling using sequences and series through an authentic engineering scenario involving battery-powered systems. Students analyze two competing trends—battery capacity degradation and increasing power demand—to determine whether a system remains viable over time. The project is structured to mirror real engineering practice: students first develop independent mathematical models, then synthesize those models to make a data-driven eng
10th - 12th
Engineering, PreCalculus
Algebra 2 Exponential and Logarithm Functions Unit | Assessment Bundle
Save time and give your students comprehensive practice with this Exponential and Logarithm Functions Unit Assessments Bundle! This resource combines all of my functions assessments into one convenient package, including: Exponential and Logarithm SAT Prep Quiz – 4 versions with SAT-style questions to build test readinessExponential and Logarithm Group Quiz – collaborative quiz where students have to write and solve an exponential growth equationGraphing Quiz - 4 versions where students graph lo
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSA-SSE.A.1
, HSA-SSE.B.3c
, HSA-CED.A.1
+7
"Reverse" Graph Analysis Project
A template for a booklet of 5 coordinate grids along with specific criteria in a rubric below each grid. Student must create graphs that meet criteria such as specific domain, range, increasing/decreasing intervals, positive/negative intervals, zeros, y-intercepts. Editable student instructions are included.
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.B.4
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
Algebra 2 Functions Unit Assessment Bundle | Test Prep | Performance Assessment
Save time and give your students comprehensive practice with this Functions Unit Assessments Bundle! This resource combines all of my functions assessments into one convenient package, including: Functions SAT Prep Quiz – 4 versions with SAT-style questions to build test readinessFunction Transformations Quiz – 4 versions covering shifts, reflections, stretches, and compressionsFunctions Group Quiz – collaborative quiz with a challenging, problem-solving taskConcept & Performance Assessment – de
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+13
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