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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
Rational Functions - Find the Slant (Oblique) Asymptote Triple Match Activity
This Rational Functions - Find the Slant (Oblique) Asymptote Triple Match Activity will engage your students while as they match Rational Functions with the Equations of the Oblique (slant) asymptotes, and the graph of the function. Included in this activity is a Guided notes page explaining when a rational function with have an oblique asymptote and a step by step example showing long division to find the asymptote. There are 12 Function cards, 12 Graph cards, and 12 cards with the equati
10th - 12th
PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7
, HSF-IF.C.7d
![Preview of What is a Derivative? [Activities for Exploration]](https://ecdn.teacherspayteachers.com/cdn-cgi/image/format=avif,quality=70,width=525,height=525,onerror=redirect/thumbitem/What-is-a-Derivative-Activities-for-Exploration--15187111-1767619323/750f-15187111-1.jpg)
What is a Derivative? [Activities for Exploration]
Do you just jump in to calculating the derivative without giving your students a chance to think about what a derivative really is? This collection of activities are great, short ways to get them to pause and think about what a rate of change really is. And what's the difference between an average rate of change and an instantaneous rate of change? These are excellent, classroom tested, ready-to-print activities that will fit naturally in your PreCalculus, Honors Calculus, AP Calculus, or Underg
11th - 12th, Higher Education
Applied Math, Calculus, PreCalculus
Log Properties Discovery Activity | Product, Quotient & Power Rules | Algebra 2
Log Law Lie Detector is a guided discovery activity designed to help students build a deeper understanding of logarithm properties before formal notes or practice. Instead of simply memorizing the product, quotient, and power properties of logarithms, students test claims, compare both sides, identify patterns, and determine whether each statement is true or a “lie.” This activity is best used after students have learned how to evaluate basic logarithms and/or convert between logarithmic and exp
10th - 12th
Algebra 2, PreCalculus
CCSS
HSA-SSE.A.2
, HSF-BF.B.5
, HSF-LE.A.4
Sketching Polynomials Activity
THIS RESOURCE INCLUDES:One pager notes5 polynomial sketching practice problems1 guided practice worksheet1 editable practice worksheetAnswer Keys included!Feel free to message me to request topics, lessons, corrections or edits to existing content! Enjoy! Please leave a good review or comment. It really helps out the store! Lastly, follow us to get early access to new materials! Thank you for supporting fellow educators! ************************* Terms of Use:Purchasing this resource grants t
9th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSA-APR.B.3
The Binomial Theorem & Pascal's Triangle Activity
THIS RESOURCE INCLUDES:One pager notes (Front and back)3 Practice problemsGuided and editable versionsAnswer Keys included!Feel free to message me to request topics, lessons, corrections or edits to existing content! Enjoy! Please leave a good review or comment. It really helps out the store! Lastly, follow us to get early access to new materials! Thank you for supporting fellow educators! ************************* Terms of Use:Purchasing this resource grants the buyer an individual, non-tran
8th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSA-APR.C.5
LOGARITHMS: Evaluate, Solve, Condense - A Number Tile Activity.
LOGARITHMS: Evaluate, Solve, Condense - A Number Tile Activity.Use the number tiles 0 - 9 once so that each of the five (5) equations makes a true statement.Rather than a traditional worksheet, try NUMBER TILES, where students will: +interact with each other and the material +problem solve and deeply think +speak mathematics +have fun +feel successful Enjoy and please do not forget to leave feedback.
9th - 12th
Algebra 2, PreCalculus
GRAPHING RATIONAL FUNCTIONS - A NUMBER TILE Activity
GRAPHING RATIONAL FUNCTIONS - A NUMBER TILE ActivityUse the tiles 0 - 9 so that each equation is a true statement.Rather than giving your students a "drill and kill" worksheet, try this number tile activity where students: work together problem solve communicate mathematically have fun
9th - 12th
Algebra 2, Calculus, PreCalculus
Common Mistakes - Algebra 2 A NUMBER TILE ACTIVITY
Common Mistakes - Algebra 2 A NUMBER TILE ACTIVITYUse the number tiles 0 - 9 so that every problem is correct.Great for a "sponge" or "bell ringer" activity or even a substitute, here are 5 tough problems for students which will promote working together, communicating mathematically and problem solving.
9th - 12th
Algebra 2, PreCalculus
Trig Values Table for Unit Circle Special Values Organizer
This color-coded table of Common Reference Angles of the Unit Circle helps students learn the basic trig values in both radians and degrees. Students can discover patterns by way of the colors. The trig values are in exact fraction form, no slashes. I give this to my PreCalculus and Calculus students the first week of class in a plastic page protector and tell them to keep it handy (except during tests). It certainly is an improvement over having them stare at the ceiling when they need sin(
10th - 12th
Algebra, Other (Math), PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.3
, HSF-TF.A.4
Also included in: PreCalculus Trig Foldable Notes Bundle
Guided Proof of Law of Cosines
An enrichment activity for advanced classes or students needing a challenge. A two-column proof of the Law of Cosines, using right triangle trigonometry, is provided for the teacher. On the student handout, the steps are present, but out of order. Students are asked to cut the steps out and the re-arrange them into a logical sequence. A teacher could ask for a written or spoken explanation of why the steps work if desired.
9th - 12th
Algebra 2, Geometry, PreCalculus
CCSS
HSG-SRT.B.4
, HSG-SRT.D.10
, HSG-SRT.D.11
Derivatives Using Chain Rule (Trig & Transcendental) Scavenger Hunt
Overview:Interactive scavenger hunt activity focused on practicing the chain rule for derivatives. Includes 15 problems featuring trigonometric and transcendental functions like sine, cosine, tangent, exponentials, and logarithms. Specifically designed to target composite function differentiation, helping students master the chain rule in more complex contexts. Promotes movement, engagement, and self-checking through a clue-based structure that turns practice into a challenge. What’s Includ
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Derivatives Scavenger Hunt Bundle
Introduction to Implicit Differentiation Matching Puzzle
This matching/domino/puzzle activity is for an introduction to implicit differentiation - BEFORE the students have taken notes, etc. Students only need to know the power and product rules to complete the activity (the question on each card matches to an answer on another card). There are easier problems that should help them figure out the harder problems. dx/dx is left in the problems to help them understand what they are doing - hopefully, they will ask about it needing to be there when they f
9th - 12th, Higher Education
Calculus, PreCalculus
IB Math: Mastering the Math IA
This is a collection of activities that gives students opportunities to practice the skills needed for criteria A-D of the IB math internal assessment. There is one activity for each month of the first year of the IB program. Each activity is broken into tasks that can be done in one sitting or separately throughout the month, followed by discussion questions and a summary box for student consolidation. This document is split into two parts: i) A teacher book with notes for each activity.
11th - 12th
Algebra 2, Applied Math, PreCalculus
SYSTEMS - Problems and Applications
SYSTEMS - Problems and ApplicationsThere are six (6) different activities that can be used as warm-ups, parts of lessons, homework. The goal of solving systems is to know what two functions are the same, how to use Algebra and Geometry to answer specific questions. These six activities approach solving systems of equations and inequalities very differently. My goal was always to get students to stop thinking "what is the next step?" and begin to problem solve.
9th - 12th
Algebra, Algebra 2, PreCalculus
Advanced Placement Pre-Calculus -- Graphing and Modeling
Advanced Placement Pre-Calculus -- Graphing and ModelingThere are eight (8) activities included that can be used as: Warm-ups, Lesson Examples, Closure Activities, Assessment Questions Real-life examples that are for your advanced students are important. I hope you will use these activities with them.
9th - 12th
Algebra 2, PreCalculus
Melissa F. Custom Bundle (AP Precalculus Unit 3-B)
⭐⭐ This custom bundle contains the second half of AP Precalculus Unit 3 Bundle and provides you with a customizable and fully-editable resource of guided student notes, practice sets, daily lesson quizzes, Google Slides for presentations and Activities that cover the topics for Trigonometric and Polar Functions. ⭐⭐ The partial unit contains 8 topics stated in the College Board Course Framework divided into one or two-day classroom notes designed for a 45-50-minute class periods. ✅ GUIDED NO
10th - 12th
PreCalculus
Graphing Angles | Answer Key
Help students master graphing angles with this engaging worksheet! Students practice plotting angles in standard position, identifying reference angles, and determining quadrants for positive and negative angles. Clear instructions and varied problems make this resource perfect for geometry or trigonometry review, homework, or classwork activities.
8th - 12th
Algebra 2, PreCalculus
Dividing Polynomials Worksheet | Answer Key
Master polynomial division with this focused worksheet! Students practice both long division and synthetic division, interpret remainders, and work through a variety of problem types. Detailed instructions and scaffolded problems make it easy for algebra and precalculus learners to build confidence. Perfect for in-class activities, homework, or review before assessments.
8th - 11th
Algebra, Algebra 2, PreCalculus
Function Composition - CST ACT SAT Test Practice
These 10 multiple choice problems cover function composition using formulas, tables and graphs. They serve as excellent practice for the SAT, ACT or your state's standardized achievement exam. Each question has 5 choices, and at least 1 trap answer. A great way to differentiate this activity is to have higher skilled students identify each trap answer and justify.
Buy the functions packet or the composition bundle to get multiple activities for one low price!
9th - 12th, Adult Education, Higher Education
Algebra 2, Math Test Prep, PreCalculus
IB Analysis and Approaches Year1 - Topic 1-2-3
This textbook reimagines the mathematics classroom as a laboratory for discovery. Designed for IB Analysis and Approaches Standard Level (Year 1), the book guides students through 40 structured "labs" covering algebra, trigonometry, and functions, the essential foundations of the IB Mathematics curriculum. Each lab follows a consistent, research-informed pedagogical cycle. Students begin independently with a Ready to Learn (RTL) activity, a short diagnostic task completed in the first minutes o
10th - 12th
Algebra 2, Other (Math), PreCalculus
QUADRATIC INEQUALITIES
QUADRATIC INEQUALITIESFor Algebra 2 students, this is a more advanced topic. I used this with my Algebra 2 Honors students and my Pre Calculus students. Being able to differentiate between a system, a piecewise function and a quadratic inequality is very important. After teaching the first four (4) problems, I loved having the students do this during class time. The follow-up activity that could be used as a warm-up could be: 1. Quadratic Inequality 2. Quadratic Piecewise 3. System of a Quadrat
9th - 12th
Algebra 2, Other (Math), PreCalculus
Graphs of Polar Functions Matching plus Riddle
Challenging and Fun! This is what students will tell you after completing this assignment on Graphs of Polar Functions. Students will match the equations of 10 Polar functions with their graphs. They fill in the table on the bottom of the page revealing the answer to the riddle, making this assignment self-checking. Graphs include limacons, lemniscates, polar roses, cardioids, and more. Many numbers are similar making this a challenging and engaging activity. There are 12 polar graph choices,
11th - 12th
PreCalculus
Graphing the Sine and Cosine and Properties Notes Organizers
Graphing the Sine and Cosine Functions using their key properties could not be easier for your students to learn to do by hand than with this versatile and engaging resource with notes and step by step graphic organizers. Included in the Lesson: Illustrated Guided Notes on graphing the Sine and Cosine by hand using the 5 Point Method for both the Sine and the Cosine. The notes also include formulas for the properties, including Amplitude, Phase Shift, Vertical Shift, and Period. 16 graphic
10th - 12th, Higher Education
Math, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7
, HSF-TF.B.5
Also included in: AP PreCalculus Unit 3 Trig Functions Activity Bundle
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