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Preview of AP Precalculus Unit 1 Modeling Project | The Clepsydra Challenge

AP Precalculus Unit 1 Modeling Project | The Clepsydra Challenge

Bring AP Precalculus Unit 1 to life with The Clepsydra Challenge, a hands-on modeling project where students investigate how the shape of a vessel affects the rise of water.In this real-world investigation, students collect volume-height data, create a graph, analyze changing rates of change, compare wide and narrow sections of a vessel, and connect their results to concavity, domain, range, and mathematical modeling. This project is designed to support conceptual understanding of Unit 1 topics
Preview of Advanced Modeling Projects BUMP Math Game - No Prep PreCalculus Review Activity

Advanced Modeling Projects BUMP Math Game - No Prep PreCalculus Review Activity

Let’s BUMP the other teams to score points!BUMP is a No Prep PreCalculus game where students bump other teams off the platform to score points based on how quickly they answered the questions correctly! The game is playable with the whole class together, or you can play it as small groups. There are 20 questions and answers included. This version is High School Math, PreCalculus, Advanced Topics, Advanced Modeling Projects, Advanced Modeling Projects, Problems include Interdisciplinary Applicati
Preview of Exploratory Projects BUMP Math Game - No Prep PreCalculus Review Activity

Exploratory Projects BUMP Math Game - No Prep PreCalculus Review Activity

Let’s BUMP the other teams to score points!BUMP is a No Prep PreCalculus game where students bump other teams off the platform to score points based on how quickly they answered the questions correctly! The game is playable with the whole class together, or you can play it as small groups. There are 20 questions and answers included. This version is High School Math, PreCalculus, Advanced Topics, Advanced Modeling Projects, Exploratory Projects, Extend PreCalculus knowledge to solve open-ended o
Preview of Circles & Lines in Polar Form BUMP Math Game - No Prep PreCalculus Review

Circles & Lines in Polar Form BUMP Math Game - No Prep PreCalculus Review

Let’s BUMP the other teams to score points!BUMP is a No Prep PreCalculus game where students bump other teams off the platform to score points based on how quickly they answered the questions correctly! The game is playable with the whole class together, or you can play it as small groups. There are 20 questions and answers included. This version is High School Math, PreCalculus, Polar Coordinates and Complex Numbers, Graphs of Polar Equations, Circles and Lines in Polar Form, Describe circles a
Preview of Advanced Modeling Projects TRASHKETBALL Math Game - No Prep PreCalculus Review

Advanced Modeling Projects TRASHKETBALL Math Game - No Prep PreCalculus Review

Let’s score points with Trashketball!Trashketball is a No Prep PreCalculus review game where students take shots to score points based on how quickly they answered the questions, but only if they are correct! These games are playable with the whole class together, or you can play it as small groups. All questions and answers are included. This version is High School Math, PreCalculus, Advanced Topics, Advanced Modeling Projects, Advanced Modeling Projects, Problems include Interdisciplinary Appl
Preview of Exploratory Projects TRASHKETBALL Math Game - No Prep PreCalculus Review

Exploratory Projects TRASHKETBALL Math Game - No Prep PreCalculus Review

Let’s score points with Trashketball!Trashketball is a No Prep PreCalculus review game where students take shots to score points based on how quickly they answered the questions, but only if they are correct! These games are playable with the whole class together, or you can play it as small groups. All questions and answers are included. This version is High School Math, PreCalculus, Advanced Topics, Advanced Modeling Projects, Exploratory Projects, Extend PreCalculus knowledge to solve open-en
Preview of Circles & Lines in Polar Form TRASHKETBALL Math Game - No Prep PreCalculus

Circles & Lines in Polar Form TRASHKETBALL Math Game - No Prep PreCalculus

Let’s score points with Trashketball!Trashketball is a No Prep PreCalculus review game where students take shots to score points based on how quickly they answered the questions, but only if they are correct! These games are playable with the whole class together, or you can play it as small groups. All questions and answers are included. This version is High School Math, PreCalculus, Polar Coordinates and Complex Numbers, Graphs of Polar Equations, Circles and Lines in Polar Form, Describe circ
Preview of Advanced Modeling Projects NO PREP PRECALCULUS REVIEW GAME - VERY UNFAIR MATH

Advanced Modeling Projects NO PREP PRECALCULUS REVIEW GAME - VERY UNFAIR MATH

Here is a short youtube video explaining how this review game works.This game is VERY UNFAIR and the kids love it!This is a No Prep PreCalculus Review Game where students earn points for answering correctly, but the points can be positive or negative, and can be assigned to your team or your opponents’ team! And to make it very unfair, if you get the answer wrong, then the opposing team gets to assign the points to any team they choose. The goal is to have the score the closest to zero at the en
Preview of Exploratory Projects NO PREP PRECALCULUS REVIEW GAME - VERY UNFAIR MATH

Exploratory Projects NO PREP PRECALCULUS REVIEW GAME - VERY UNFAIR MATH

Here is a short youtube video explaining how this review game works.This game is VERY UNFAIR and the kids love it!This is a No Prep PreCalculus Review Game where students earn points for answering correctly, but the points can be positive or negative, and can be assigned to your team or your opponents’ team! And to make it very unfair, if you get the answer wrong, then the opposing team gets to assign the points to any team they choose. The goal is to have the score the closest to zero at the en
Preview of Circles & Lines in Polar Form NO PREP PRECALCULUS REVIEW GAME - VERY UNFAIR MATH

Circles & Lines in Polar Form NO PREP PRECALCULUS REVIEW GAME - VERY UNFAIR MATH

Here is a short youtube video explaining how this review game works.This game is VERY UNFAIR and the kids love it!This is a No Prep PreCalculus Review Game where students earn points for answering correctly, but the points can be positive or negative, and can be assigned to your team or your opponents’ team! And to make it very unfair, if you get the answer wrong, then the opposing team gets to assign the points to any team they choose. The goal is to have the score the closest to zero at the en
Preview of Sinusoidal Journal Project for Advanced Pre-Calculus

Sinusoidal Journal Project for Advanced Pre-Calculus

Created by
C Carey
Need a different activity for your advanced precalculus students? Here is your answer, a journal project focusing on the trigonometric unit of Pre-calculus. A full answer key is included. It is ready to print and go. Students will construct a unit circle and use it, graph transformations of trigonometric functions while calculating the midline, amplitude, period and frequency of a function. Students will evaluate trig expressions using exact values. Students will construct trig functions give
Preview of Elliptical Orbits Project (PBL) - Precalculus Conic Sections & Eccentricity

Elliptical Orbits Project (PBL) - Precalculus Conic Sections & Eccentricity

Created by
Megan Haynes
This engaging Project-Based Learning (PBL) activity brings conic sections to life by having students explore how ellipses model real-world orbits. Students select a planet, moon, comet, or satellite and use research to gather key data such as eccentricity and orbital measurements, then create a mathematical model using the equation of an ellipse. They will construct and label a diagram, analyze how eccentricity affects the shape of the orbit, and present their findings through a visual project.
Preview of Exploratory Projects NO PREP PRECALCULUS REVIEW GAME - BIG UNFAIR MATH

Exploratory Projects NO PREP PRECALCULUS REVIEW GAME - BIG UNFAIR MATH

Here is a short youtube video explaining how this review game works.This game is UNFAIR and the kids love it!8 teams answer every question!This is a No Prep PreCalculus review game where students earn points for answering questions, but the points can be positive or negative! The goal is to have the score the closest to zero at the end of the game.The game is playable with the whole class together, or you can play it as small groups. All questions and answers are included. This version is High S
Preview of Advanced Modeling Projects NO PREP PRECALCULUS REVIEW GAME - BIG UNFAIR MATH

Advanced Modeling Projects NO PREP PRECALCULUS REVIEW GAME - BIG UNFAIR MATH

Here is a short youtube video explaining how this review game works.This game is UNFAIR and the kids love it!8 teams answer every question!This is a No Prep PreCalculus review game where students earn points for answering questions, but the points can be positive or negative! The goal is to have the score the closest to zero at the end of the game.The game is playable with the whole class together, or you can play it as small groups. All questions and answers are included. This version is High S
Preview of Circles & Lines in Polar Form NO PREP PRECALCULUS REVIEW GAME - BIG UNFAIR MATH

Circles & Lines in Polar Form NO PREP PRECALCULUS REVIEW GAME - BIG UNFAIR MATH

Here is a short youtube video explaining how this review game works.This game is UNFAIR and the kids love it!8 teams answer every question!This is a No Prep PreCalculus review game where students earn points for answering questions, but the points can be positive or negative! The goal is to have the score the closest to zero at the end of the game.The game is playable with the whole class together, or you can play it as small groups. All questions and answers are included. This version is High S
Preview of Christmas Triangular & Tetrahedral Numbers | Math Patterns Project I Grades 6-9

Christmas Triangular & Tetrahedral Numbers | Math Patterns Project I Grades 6-9

Teachers often struggle to maintain student engagement and academic rigor as the winter holidays approach. How can you combine festive fun with deep mathematical exploration for your 6th, 7th, 8th, and 9th grade students? Unwrap the magic of mathematics this winter season with the Christmas Math Project Triangular Tetrahedral Numbers Pattern Discovery Grades 6-9. This no-prep, project-based resource is your perfect solution for keeping middle and early high school students captivated while deve
Preview of Combinatorics I Set Partitions I Bell Numbers I Counting Principles HS (9-12)

Combinatorics I Set Partitions I Bell Numbers I Counting Principles HS (9-12)

This advanced combinatorics project introduces Bell Numbers, set partitions, and the Fundamental Counting Principle. It balances theory, structure, and real-world problem solving. Designed for AP-style reasoning and Grade 9+ accelerated learners, it strengthens discrete math thinking. The resource is classroom-ready, accessible, and engaging. Students explore how counting extends beyond simple multiplication rules. They model and analyze set partitions using structured reasoning. Students
Preview of Binomial Theorem Christmas Tree | Pascal’s Triangle Holiday Math Activity

Binomial Theorem Christmas Tree | Pascal’s Triangle Holiday Math Activity

Make practicing the Binomial Theorem more engaging with this Christmas tree project! Students begin with a pattern-discovery lesson using Pascal’s Triangle and binomial expansions, then apply what they learn by expanding an assigned binomial from the 1st through 5th powers.After completing their expansions independently, students find classmates with the same assigned binomial, compare answers, and work together to create a festive Christmas tree display. Each term of each expansion is written o
Preview of AP Precalculus FRQ 2 Test Prep Notes: Big Ideas & "What to Do When"

AP Precalculus FRQ 2 Test Prep Notes: Big Ideas & "What to Do When"

This handout reviews major concepts tested on Free Response Question #2. Secant LinesAverage Rate of ChangeEstimating using Average Rate of ChangeOverestimates and UnderestimatesError and Confidence in EstimatesDomain and Range RestrictionsThe "What To Do When ..." page pairs a process with four common question stems for Free Response Question #2. Concepts include ... Using data from a contextual scenario to write equations given a model functionUsing data to calculate unknown values of a functi
Preview of Instantaneous Rate of Change | Answer Key

Instantaneous Rate of Change | Answer Key

This worksheet focuses on estimating and calculating the instantaneous rate of change of functions at specific points. Students practice finding slopes of tangent lines using limits, difference quotients, and interpreting graphs or tables to approximate instantaneous rates. Problems include polynomial and quadratic functions. Ideal for deepening understanding of derivatives and preparing for calculus concepts.
Preview of Bitcoin: The Math Behind The Money

Bitcoin: The Math Behind The Money

Bitcoin: The Math Behind the Money – A Story-Driven Math Lesson Unravel the math behind Bitcoin in this engaging, story-driven lesson designed for independent learning! Perfect for high school students, enrichment learners, and project-based studies, this lesson takes students on an interactive journey through real-world mathematics using Bitcoin as a case study. What’s Included?✅ 12-page lesson handout – A fully developed story-driven experience where students follow Mia and Leo as th
Preview of Performance Task - Pascal/Sierpinski Triangles

Performance Task - Pascal/Sierpinski Triangles

Created by
Counting Corner
A great resource for International Baccalaureate mathematics! Although it can be used for non-IB classes, as well. I have used it for a midterm, but it can be used for an end-of-unit assessment, as well. This research project/performance task is designed to explore Pascal's triangle, its history, relationship with Sierpinski's triangle, and how it is used in the field of mathematics. Grading rubric included.
Preview of Algebra 2 Rationals Functions Unit Concept Assessment | Performance Assessment

Algebra 2 Rationals Functions Unit Concept Assessment | Performance Assessment

Bring creativity into your Algebra classroom with this engaging Rational Functions Unit Concept Assessment! Students will work together to solve a problem in the context of opening a Lemonade Stand. This math assessment is perfect for Algebra 2 or Pre-Calculus students. The project is designed with two components: Partner/Collaboration: Students will collaborate to understand the problem, create equations and a graph, and start to interpret the context.Individual Assessment: Students will work i
Preview of Algebra 2 Polynomials Unit Concept Assessment | Performance Assessment

Algebra 2 Polynomials Unit Concept Assessment | Performance Assessment

Bring creativity into your Algebra classroom with this engaging Polynomials Unit Concept Assessment! Students will work together to solve a problem in the context of shipping a box at the post office. This math assessment is perfect for Algebra 2 or Pre-Calculus students. The project is designed with two components: Partner/Collaboration: Students will collaborate to understand the problem, create equations and a graph, and start to interpret the context.Individual Assessment: Students will work
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