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
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
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
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
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
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
80 Fourth Deg Poly with Two Real, Rational and Two Real, Irrational Roots Proj
This has 80 randomly generated fourth degree polynomials. Each of them has two real, rational roots and two real, irrational roots. There are worksheets that go along with them (as shown in the example). It has the students use Descartes' Rule of Signs, Cauchy's Bounds, and the Rational Root Theorem. Each of the polynomials are numbered as Student 1 through Student 80 but there's also a blank for name and period.
10th - 12th
Algebra 2, PreCalculus
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
Am I like Pi? Pi Day Math Activity Middle or High School Math All About Me Craft
Getting To Know You Math & Art Graphing Project: Am I like Pi (π)? High School Pi Day Activity. This activity can be used in High School, but also in Middle School. It's a great Get to Know You Math Activity for the First Day of School, Back to School, Summer Camp, Summer School, or End of the Year Math & Art Activity. It includes a Polar Grid (Polar Coordinates), but students don't need to know it to complete this task. Students graph and connect the points where the indicated line and the
6th - 12th
Graphing, Math, PreCalculus
Parent Functions - Social Media Project
Bring algebra to life with this creative and engaging project where students design a social media profile for a parent function! Whether on paper or digital, students explore key properties—like domain, range, asymptotes, and end behavior—by imagining how a function might present itself online. It’s the perfect blend of mathematical rigor and creative expression, ideal for reinforcing function analysis in a fun and memorable way.
10th - 12th
Algebra 2, PreCalculus
TriAnimal: a triangle animal project where geometry meets art
Join me on an exciting journey into the world of art and geometry! In this project, students will embark on a creative adventure where they will draw an animal using only triangles. Through this process, label perpendicular bisector, altitude, median and demonstrate pythagoreans theorem and the triangle inequality theorem. This project comes as a packet with instructions, workspace, and a rubric.
8th - 11th
Geometry, Math, PreCalculus
Function Transformation Family Tree
Looking at complex functions can be scary, but understanding where they come from and how they relate to each other can help!
Using common parent functions, students will practice function transformations, specifically shifting, by both graphing and writing equations. The concept of a "family tree" is used to show students that functions can be related, but also unique individuals.
Given a graph of the original function, students will draw four "family members" or transformations: shift up,
9th - 12th
Algebra 2, Graphing, PreCalculus
Graphs of Trigonometric Functions Art Project
A fun activity/project for student to demonstrate their knowledge of the trigonometric functions and their transformations. I really love how this activity allows students to show their creative sides. Includes two different options for grading rubrics! Download Include: A zipped folder with a PDF and DOCX of the instructions and rubrics. Feel free to edit the DOCX file to fit the project to your students.
10th - 12th
Math, Other (Math), PreCalculus
PreCalculus Project: End-of-Year Data Analysis Project
My Precalculus class is predominantly focused on graphing. We graph polynomials, exponential functions, logarithmic functions, rational functions and trigonometric functions. In each chapter, we do labs involving regression equations such as motion of a ball on a ramp, parabolic shape of a water fountain, exponential graph of the bounce height of a ball, sinusoidal regression of a bouncing spring or swinging pendulum.
At the end of the year, this project puts it all together using data th
11th - 12th
PreCalculus
Investigate Bivariate Data Lesson
📊 Investigate Bivariate Data – Complete Lesson Slide Presentation This ready-to-use slide presentation teaches students how to investigate and analyze bivariate data. The lesson helps students explore relationships between two variables, represent data visually, and interpret patterns to make informed conclusions. Students will learn to create and analyze scatter plots, calculate and interpret correlation, and use data to answer real-world questions. ✅ What’s Included: Introduction to biv
6th - 9th
Algebra, Algebra 2, PreCalculus
Writing Project: Translations Writing Assignment (Trigonometry)
This is a group assignment. The objective of this paper is to demonstrate an understanding of functions including the domain and range, transactions, and inverses. The paper includes computer or calculator graphs and algebraic equations and discussion of the behavior of the graphs.
The assignment includes the instruction sheet, a grading rubric, and a sample student paper. This is a great assignment to assess student understanding of trig function behavior.
11th - 12th, Higher Education
Other (Math), PreCalculus
Solving Trigonometric Equations - Coloring Activity
Students will use their knowledge of SOLVING TRIG EQUATIONS in this coloring sheet. It is way more fun than a traditional worksheet, and it's great for teachers to use for student work displays. ANSWER KEY INCLUDED Looking for more on your ANALYTIC TRIGONOMETRY unit? Check out these resources! Fundamental Trig Identities - Scavenger HuntVerifying Trig Identities - Race ActivitySum & Difference Formulas - PuzzleMultiple-Angle & Product-to-Sum Formulas - TrashketballAnalytic Trigonometry - Asses
9th - 12th
Algebra 2, Calculus, PreCalculus
Also included in: Analytic Trigonometry - ENTIRE UNIT BUNDLE!!
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