Percent Increase and Decrease Quiz
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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
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
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
"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
Trigonometric Graphs Project | Sine Graph Sunset Project | Trig Project
Looking for a project related to the graphs of sine functions? Look no further! In this project, students pick any city in the world, look online for the sunset times in the city over a one-year period, plot the data on a scatterplot, create two sine models that fit the data, then answer questions about the data and the models. Includes sample data and a rubric! Click HERE to SAVE BIG by buying the Precalculus Full Curriculum Bundle. This bundle contains everything you need to teach a full year
10th - 12th
Math, Other (Math), PreCalculus
CCSS
HSF-TF.B.5
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
Logarithmic and Exponential Murder Mystery Project and Lab
Solving exponential and logarithmic equations are fun and engaging in this mystery project. In this project students will work to test the stories of four suspects, Mrs. White, Colonel Mustard, Miss Scarlet, and Professor Plum. Each suspect has a defense for the crime but only math can prove if they are telling the truth. Exponential modeling using Newton's Law of Cooling is used to find the time of the murder. Exponential decay models are used to find how much poison was used. This two-three da
9th - 12th
Algebra 2, Calculus, PreCalculus
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
Piecewise Functions Tax Day Project and Lab
Constructing and using piecewise functions is fun and engaging in this tax challenge. In this project students will learn about the basics of taxable income and deductions. Then they'll take on the role of a tax consultant to help their clients, Stan Lobs, Laura Lindy, and the Mula couple make sense of their tax forms. Each client falls into a different tax bracket and require the use of a piecewise function to determine their refund. Read W-2s, write refund checks, and learn how to interpret ta
9th - 12th, Higher Education
Algebra 2, Applied Math, PreCalculus
CCSS
HSN-Q.A.3
, HSA-APR.A.1
, HSA-CED.A.1
+22
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
Systems of Equations Project Story and Comic Book EDITABLE
Switch up your assessment with this EDITABLE book project for Systems of Equations . Demonstrate knowledge of systems of equations and systems of inequalities through the development of a story or comic book. Assess multiple methods of solving systems of equations all in one student-centered project. This resource includes:- Complete EDITABLE student directions for book project - Templates for book project - Teacher directions - PDF and PPT files included. PPT can be uploaded into Google sli
9th - 11th
Algebra 2, Math, PreCalculus
CCSS
HSA-REI.C.5
, HSA-REI.C.6
, HSA-REI.C.7
Also included in: Algebra 2 Resource bundle
Rational Functions 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. In this Ra
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-CED.A.2
Also included in: "When Will I Ever Use This?" - Real Life Algebra Projects
Line of Best Fit Math Project - End of Year Algebra 1
"When will I ever use this?" The famous question asked by every Algebra student. Give your students a REAL application of radical equations with this project! When textbook application problems aren't cutting it to spark your students' interest these "When Will I Ever Use This" 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. Professional: Sports Stati
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-CED.A.2
Also included in: "When Will I Ever Use This?" - Real Life Algebra Projects
Radical Equations Mini Project - Algebra 1
"When will I ever use this?" The famous question asked by every Algebra student. Give your students a REAL application of radical equations 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. Professional: Do
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-CED.A.2
Also included in: "When Will I Ever Use This?" - Real Life Algebra Projects
Conic Sections Project Parabolas, Circles, Ellipses, Hyperbolas
Blend creativity and math skills with this conic sections project. Students demonstrate their understanding of the four types of conic sections through this project in which student create their own themed images using parabolas, circles, ellipses, and hyperbolas. Student-tested and approved! Great for assessment.This resource includes (EDITABLE):- Student project guidelines - Student response sheet for design - Rubric - Student samples - Teacher's guide for different ways to use project an
10th - 12th
Algebra 2, Math, PreCalculus
Also included in: Algebra 2 Resource bundle
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