Percent Increase and Decrease Quiz
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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
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
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
Trigonometry Travel Project | Law of Sines and Cosines Activity
Make trigonometry come alive with this engaging, real-world project! In the Trigonometry Travel Project, students “travel” to three U.S. destinations of their choice and use the Law of Sines and Law of Cosines to form and solve a triangle on the map. Students calculate the distances between each location, find all missing angles and sides, and explore interesting or historical facts about the places they visit. The project wraps up with a short written summary of their findings — combining math,
9th - 12th, Adult Education, Higher Education
Algebra 2, Applied Math, PreCalculus
CCSS
HSG-SRT.D.10
, HSG-SRT.D.11
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
A Quadratic Project
Create a quadratic function using your birth date and the form that was assigned to you. Forms are included where you can cut out and have students draw for their form.
Project Aspects include Calculating:
Vertex Form, vertex, max/min value, domain, range, intercepts and graphing.
Rubric and Quadratic Forms Included
8th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, PreCalculus
My Parent Function Family Tree
This is an exploration of the parent functions and their transformations that can be stapled into a nice booklet. The parent functions it focuses on are: quadratics, identity, cubics, absolute value, greatest integer, reciprocals, and square roots. There is a page on each of the functions where students are guided through the graph of the original function using a table. Then students discover what happens when the equation is changed.
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11th - 12th, Higher Education
Algebra 2, PreCalculus
Trig Graphs Roller Coaster Design Project
Students are the creators of a new wild roller coaster made out of trig functions! In this project, students have to incorporate a variety of trig and inverse trig functions into a seamless ride. This project provides practice with graphing trig functions, writing their equations and placing domain restrictions. Included: - Project description and requirements - Two options of suggested graph paper (Students roller coasters usually are long enough that they will need to join 2 pieces of graph
9th - 12th, Higher Education
Algebra 2, Graphing, PreCalculus
CCSS
HSF-TF.B.5
, HSF-TF.B.6
Precalculus Graphing Polar Coordinates "Date" Project
Practice graphing with polar coordinates by having your students embark on a date in this love themed project! The cardiod (heart), lemniscate (bow), rose curve (flower), circle and more are explored! There is a calculator portion where students reveal a butterfly and a portion where they can create their own graph as well. INCLUDED:- 5 themed polar graphs - An opportunity for students to get creative and make their own graph and prompt - Scoring rubric - Full worked solutions answer key I h
9th - 12th, Higher Education
Calculus, Math, PreCalculus
CCSS
HSN-CN.B.4
, HSF-BF.B.3
ARC LENGTH/AREA OF SECTOR PYTHON PROGRAMMING ACTIVITY
Python Programming should be an integral part of math education, in fact the newer TI-84 graphing calculators have Python interpreters built-in! Alternately, Python programs can be entered and run from web browsers and tablet apps. This activity can be assigned for self-study or in a teacher-led lesson. It includes the following: overview of how to find the arc length of a sector, given the angle in degreesa Python program that calculates the arc length of a sectorTwo exercise sets with suggesti
11th - 12th, Higher Education
Computer Science - Technology, Geometry, PreCalculus
CCSS
HSG-C.B.5
AP Precalculus Projects | CST | Inverse Piecewise Linear Exponential Functions
The AP Precalculus in the Construction Industry Projects Bundle is a comprehensive set of project based learning (PBL) resources designed to bridge advanced mathematics with real-world construction challenges. This bundle focuses on applying AP Precalculus concepts to critical issues faced by engineers, architects, and construction managers. Each AP Precalculus project transforms abstract formulas into practical tools for solving authentic industry problems. Teachers can easily integrate th
9th - 12th, Adult Education, Higher Education
PreCalculus
Polar Functions Graphing Project Activity | Polar Coordinates
Can be used within the unit or as an end of the year projectGreat practice for plotting polar coordinatesIncludes thorough graphic organizer to help students incorporate the different characteristics of polar functions into their graphs.Prepares students for analyzing characteristics of polar functionsOpen-Ended: Students create their own polar equations to design a unique image—final projects will vary based on individual creativity and mathematical choices. Helps students to be more familiar w
10th - 12th, Higher Education
Math, Other (Math), PreCalculus
CCSS
HSN-CN.B.4
Also included in: Polar Coordinates Lesson, Notes, Practice, Activity, Project Bundle
Conic Sections Emoji Graphing Activity
In this activity, students graph 11 conic sections to create an Emoji!
This download includes 2 versions (choose whichever works best for your class):
-Worksheet with conics written in general conic form with space to work
-Worksheet with conics in standard form ready to be graphed
*The standard form version is also an answer key to the other form!
Equations for Emoji includes:
3 Circles – Face and Eyeballs
2 Ellipses – Eyes
4 Parabolas – Eyebrows, Mouth, and Tongue
2 Hyperbolas – Dimples and
9th - 12th, Higher Education
Algebra 2, Math, PreCalculus
Also included in: Algebra 2 Scavenger Hunt and Activity Bundle
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