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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
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
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
Derivatives Scavenger Hunt Bundle
Overview:Set of four interactive scavenger hunt activities designed to reinforce students' understanding of derivative rules through engaging, movement-based practice. Each scavenger hunt targets a specific differentiation rule— product rule, quotient rule, or chain rule. Problems include a variety of algebraic, trigonometric, rational, and transcendental functions, helping students apply rules in diverse contexts. Promotes movement, engagement, and self-checking through a clue-based format th
10th - 12th, Higher Education
Calculus, 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
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
Evaluating Inverse Trig Functions Foldable Organizer
This Evaluating Inverse Trig Functions Foldable Organizer will help your students grasp the concepts and also get practice with Composite Inverse Trig Functions. Your students fill-in the properties and then practice 16 well chosen representative problems. Also included are 6 completed examples for reference. Problems include straightforward problems such as sin_inverse(1/2) and more complex problems like sin(sin_inverse of π/2) or arcsin(sin(3π)). Both notations, sin^-1 and arcsin for i
10th - 12th
Math, Other (Math), PreCalculus
Also included in: AP PreCalculus Unit 3 Trig Functions Activity Bundle
AP PreCalculus 90 Word Wall Bulletin Board Posters Anchor Charts
This AP® PreCalculus Vocabulary Word Wall or Anchor Charts will help your students grasp essential concepts and terminology with colorful visual topic posters. Use as a Word Wall or on a Bulletin Board. Let your classroom walls engage your students and help teach and reinforce important topics. Included are 80 posters with topics for AP PreCalculus with emphasis on visuals and not formulas. The Posters are arranged by unit and the resource also includes 4 Posters which list the topics as d
10th - 12th
PreCalculus
Limits from Tables plus Guided Notes for Calculus
This Evaluating Limits from Tables with Guided Notes resource is designed to help your Calculus students understand and master the concepts in this section and promote fluency. What's Included?11 Task cards which include polynomial, rational, irrational, and trig functions. Students use a table to determine if a limit exists and to evaluate it, if it exists. There are also problems which students are given a table and asked to estimate the limit. Blank Task card for you to personalizeGuided
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Rational Functions Graphs and Key Features and Properties
Your students will practice determining the Key Properties of Rational Functions and Their Graphs. There are 11 problems for your students to solve plus a blank problem template for you to customize or create an assessment or homework. Students graph the function and find the: domainrangehorizontal asymptotesvertical asymptotesholesx – interceptsy-interceptsslant asymptotes when applicable. I have included slant (oblique) asymptotes on two problems. These can be omitted if that topic is not
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
, HSF-IF.B.5
+3
Also included in: AP PreCalculus Unit 1 Polynomial and Rational Functions Activity Bundle
Finding Limits Analytically FUN Notes Doodle Pages for Calculus
Your Calculus students will love these Finding Limits Analytically and from Graphs FUN Notes Doodle pages, complete guided notes and practice in a fun format. Use with your lesson or as homework, assessment, or enrichment. This fun and engaging format is designed to teach the rules and give students the practice they need to succeed. What's included?Guided notes and explanations26 problems with a variety of methods Determining Limits from Graphs, Direct Substitution, Rationalizing, One Side
11th - 12th
Calculus, Math, PreCalculus
Also included in: Limits Bundle of Fun Activities for Calculus
Exponential Functions Notes Review Pre-algebra, Algebra, Pre- calculus
A comprehensive digital review covering the complete Algebra 1 exponential functions unit — from classifying growth vs. decay to writing equations and solving compound interest problems. Fully self-grading with no prep, no login, and no printing required. ★ WHAT'S COVERED (4 Topics) • Classify Exponential Functions — the f(x) = a · bˣ form, growth (b > 1) vs. decay (0 < b < 1), identifying from tables (constant ratio), graphs, and equations; growth rate r from the base; constant ratio
8th - 12th
Algebra, Algebra 2, PreCalculus
Logarithmic Inequalities Notes and Maze
Challenge your students with this fun maze for Solving Logarithmic Inequalities. This resource also includes Guided Notes with special Logarithmic Inequality rules. The self checking maze is great way to engage your PreCalculus and AP® PreCalculus students* while challenging them with a variety of problems. There are 16 problems of which 11 must be solved to successfully complete the maze. Problems include both same bases and different bases. INCLUDEDPDF version of the MazeGuided Notes
10th - 12th
Algebra 2, PreCalculus
CCSS
HSF-LE.A.4
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