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AP Calculus BC “Tough Stuff” Project | Review & Concept Mastery Activity
Looking for a meaningful way to help your AP Calculus BC students review challenging concepts while building confidence before the exam? This FREE “Tough Stuff” Project is a student-centered activity that encourages deeper understanding, ownership of learning, and peer teaching—all essential for success in AP Calculus BC. Students identify a concept they find difficult, learn it more deeply, and then teach it in a clear and engaging way. This project is perfect for pre-exam review, post-unit r
9th - 12th
Calculus, Math Test Prep, PreCalculus
Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions
Help your AP Precalculus students explore rates of change in polar functions in a hands-on, visual way! This introductory activity focuses on Topic 3.15: Increasing and Decreasing on Polar Functions, guiding students through table completion, graphing, and color-coded analysis to deepen understanding of function behavior. Students will: ✔ Complete a table of values for a polar function. ✔ Graph the function on the coordinate plane ✔ Plot the function on a polar grid ✔ Highlight intervals wit
10th - 12th
Algebra 2, PreCalculus
Binomial Distributions Walk Around Activity For Statistics and IB Math
Get your students engaged and moving with this Binomial Distributions Walk Around Activity, designed for IB Math AA & AI (HL/SL), AP Statistics, or high school Statistics classes. This interactive lesson includes 10 real-world word problems focused on binomial probability, encouraging critical thinking and application beyond simple calculator input. Students will: Identify key values (n, p, x) in context Solve for cumulative probabilities such as "at least", "at most", or "exactly" Use a
10th - 12th
Algebra 2, PreCalculus, Statistics
CCSS
HSS-CP.A.2
, HSS-MD.A.3
, HSS-MD.A.4
+2
DERIVATIVES HIDING IN THE LIMIT FORMULA
Description: Derivative Detectives 🕵️♂️In this activity, students become Derivative Detectives and solve the mystery of hidden derivatives! Each problem is written as a limit, but secretly represents a derivative using the definition: f′(a)= Lim h→0(f(x+h)-f(x))/h Students must analyze each expression, identify the function and the point, and determine the derivative. Then, they match their answers to the correct choices. This activity helps students: Recognize derivatives from limits (fir
11th - 12th, Higher Education
Calculus, Engineering, PreCalculus
Elliptical Orbits Project (PBL) - Precalculus Conic Sections & Eccentricity
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.
7th - 12th
Algebra, Geometry, PreCalculus
CCSS
HSF-IF.B.4
, HSF-BF.A.1
, HSG-GPE.A.3
+1
Bad Study Detective: Sampling & Experiments Gallery Walk
Make sampling and experimental design engaging and interactive with this Bad Study Detective Gallery Walk! In this activity, students become Study Detectives and analyze flawed research studies to determine whether the conclusions are justified. Students examine sampling methods, bias, confounding variables, and correlation vs. causation while rotating through six study stations. This activity is perfect for introducing or reviewing Sampling & Experiments in statistics courses. Students quickly
10th - 12th
Algebra 2, PreCalculus, Statistics
CCSS
HSS-IC.A.1
, HSS-IC.B.3
, HSS-IC.B.6
AP Calculus Limits Review Bingo
DETAILED DESCRIPTIONMake reviewing limits engaging, interactive, and AP-level rigorous with this AP Calculus Limits Bingo Review Activity! This resource combines a teacher-led PowerPoint presentation with a student-centered bingo game to reinforce key limit concepts in a fun and effective way. Students will solve a variety of AP-style limit problems, including algebraic limits, trigonometric limits, limits involving infinity, L’Hôpital’s Rule, and derivatives in disguise, while actively pa
11th - 12th, Higher Education
Applied Math, Calculus, PreCalculus
Around the Room Work Space
Use this workspace for your students when completing any type of numbered "around the room" or "scavenger hunt" activity.
5th - 12th
Calculus, Math Test Prep, PreCalculus
AP Precalculus 3.9 Inverse Trig Values Battle Cards
Inverse Trig Battle Cards Basic Values + Compositions Decks 30 Basic + 20 Composition = 50 cards for practice! Give your students the practice they actually need with this fast‑paced, interactive set of Inverse Trigonometry Battle Cards! Perfect for Precalculus or Trigonometry classes, this activity builds fluency with both basic inverse trig values and compositions of trig + inverse trig expressions. Students stay focused, competitive, and engaged while developing deeper understanding of doma
10th - 12th
Algebra 2, PreCalculus
Polar Functions: The Queen's Rose Garden
A fun way to practice graphing polar functions that will also give you something pretty to decorate your classroom with! This is also designed to get students reasoning and explaining mathematically. In order to complete it, they need to explain why it is impossible to create a 6-petaled rose using the standard formulas (or come up with their own out-of-the-box formula!) If you're teaching AP Precalculus, this goes with lesson 3.14: Polar Function Graphs. I used this immediately after going thro
10th - 12th
Graphing, PreCalculus
CCSS
MP3
Lesson Plan: Parallax and Trigonometry
This lesson engages high school students in understanding how trigonometry is applied to measure distances using the principle of parallax, a key method in astronomy. Students investigate how a shift in viewpoint creates a measurable angle that, combined with a known baseline, forms a triangle. By applying trigonometric functions and small-angle approximations, students calculate distances to objects, simulating the method astronomers use to determine the distance to nearby stars. Through intera
7th - 12th, Adult Education, Higher Education
Anatomy, Geometry, PreCalculus
CCSS, NGSS
HSG-CO.D.12
, HSG-SRT.C.8
, HSS-ID.B.6
+4
Snap Back – A Marvel-Themed Exponentials and Logarithms Project
Snap Back: A Mathematical Mission to Retrieve the Gauntlet An immersive, Avengers-themed project on exponential and logarithmic functions. In this full-unit project, students step into the role of the Avengers’ mathematical strike team as they plan a high-stakes infiltration of Thanos’ lair. Through story-driven missions and decision-making, students apply exponential and logarithmic concepts in rich, meaningful contexts inspired by the Marvel universe. This resource transforms abstract math int
10th - 12th
Algebra 2, PreCalculus
CCSS
HSA-REI.D.11
, HSF-IF.C.7
, HSF-LE.A.1
+3
TED Talk: Does Math have a Major Flaw?- Jacqueline Doan and Alex Kazachek
Explore the mind-bending Banach-Tarski paradox and the foundational role of the Axiom of Choice with this high-level TED-Ed companion resource. Perfect for high school and college classrooms, this resource includes 18 critical-thinking discussion questions, a reflective writing prompt, and a structured debate topic that invites students to examine the philosophical and logical foundations of modern mathematics. This engaging resource is ideal for classes in: Advanced Mathematics Philosophy of M
9th - 12th, Adult Education, Higher Education
Geometry, PreCalculus, Statistics
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