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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
Limits from Graphs plus Notes and HW for Calculus
This Finding Limits Graphically lesson is designed to give your Calculus students an understanding and fluency of the visual side of limits and will challenge even your best students. What's Included? Guided student notes with four examples. There are two versions, one completed and one left for the students to complete with you in class.24 Task Cards with mostly piecewise continuous functions. Students determine the limits, if they exist, from analyzing the graph. My students found the
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits and Continuity Calculus Unit 1 Bundle
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
Law of Sines and Law of Cosines - Guided Notes
These notes, in the style of a graphic organizer, can be used to introduce the Law of Sines and the Law of Cosines (also known as the Sine Rule and Cosine Rule). The notes include examples and "You-Dos" (student practice problems).
Complete lesson! Answer key included!
*I've used these notes in Pre-Calculus and IB Math Studies.
For a follow-up worksheet, check out Practice with Law of Sines and Law of Cosines – Worksheet.
Note: This activity is included in my Trigonometry Unit – Bundle of Re
10th - 12th
Other (Math), PreCalculus
Polynomial Functions End Behavior FUN Notes Doodle Pages
Your students will learn about End Behavior of Polynomials Functions with these FUN Notes, Doodle Pages, guided notes and practice in an engaging format. When students are done with the examples and practice, they can show their creative side and embellish the notes with colors and doodles. On the first page your students are introduced to End Behavior based upon the leading term's power and sign. They can also analyze the graphs of the four polynomials. The rules are organized and include
10th - 12th
Algebra 2, PreCalculus
CCSS
HSF-IF.C.7c
, HSF-IF.C.8
End Behavior of Rational Functions Notes and Matching AP PreCalculus
Give your PreCalculus and AP® Precalculus students a fun and engaging way to practice finding End Behaviors of Rational Function with these two unique learning activities. First is an interactive foldable with explanations and examples of the 4 Cases of Rational Function End Behavior including Oblique Asymptotes and Asymptotes which mimic Polynomials. The second part of this resource is a matching activity. Students determine the end behavior of 10 Rational Functions and match end behavio
10th - 12th
Math, PreCalculus
CCSS
HSA-SSE.A.2
, HSA-APR.B.3
, HSA-APR.D.6
+2
Also included in: AP PreCalculus Unit 1 Polynomial and Rational Functions Activity Bundle
Algebra 2 and PreCalculus Foldable Notes and Organizers Bundle
Because so many teachers teach both Algebra 2 and PreCalculus, I have combined the foldables for both courses into one money saving bundle. This bundle includes 42 flip books, foldables, and graphic organizers. Some included task cards, HW, and quizzes. There are over 400 content rich pages jammed packed with notes, practice, and illustrated examples. Answer keys included. Foldable Organizers are great learning tools to reinforce topics in an engaging hands on way. These resources are versati
10th - 12th
Algebra 2, Other (Math), PreCalculus
CCSS
HSN-CN.A.1
, HSN-CN.C.7
, HSN-CN.C.9
+54
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
PreCalculus Foldable Notes and Organizers Bundle
Are you looking for engaging hands-on Foldables and Graphic Organizers for your PreCalculus or AP PreCalculus students? This unique bundle includes 29 resources with scores of flip books, foldables, and graphic organizers. Some also include Task cards, HW, mazes, and quizzes. There are over 200 content rich pages jammed packed with notes, practice, and illustrated examples. Answer keys included. Foldable Organizers are great learning tools to reinforce topics in an engaging hands on way.
10th - 12th
Other (Math), PreCalculus
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
Compound Inequalities Review Notes & Worksheets - 6th, 7th, 8th Grade Math
Teach and practice compound inequalities with these notes and interactive worksheets resource! Includes guided notes with teacher directions and 270 scaffolding exercises across multiple levels with answer keys. Help your students build confidence with compound inequalities using this versatile set designed for 7th to 10th grade math. This resource combines explanations with scaffolded practice problems that progress from easy to hard. Students will solve compound inequalities involving inte
7th - 10th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-REI.B.3
, HSA-REI.D.10
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
Expanding & Condensing Logarithms | 2-Day Guided Notes + Practice
✔️ Day 1 Guided Notes – Expanding logarithmic expressions✔️ Day 2 Guided Notes – Condensing logarithmic expressions✔️ Step-by-step examples with clear explanations✔️ Practice problems for each skill✔️ Mixed practice to reinforce both expanding & condensing✔️ Student-friendly layout for easy understandingAns Key for each page includeed
10th - 12th, Adult Education, Higher Education
Algebra 2, Financial Literacy, PreCalculus
UNIT CIRCLE Made Easy | Step-by-Step Trig Notes + Worksheet
Stop memorizing the Unit Circle, build it logically instead!This hands-on visual worksheet helps students understand where every coordinate comes from so they’ll never need to memorize again. Perfect for Geometry, Trigonometry, or Precalculus classes, this resource guides students through five simple steps to construct the Unit Circle using only two special triangles. ✨ What’s Included ✅ Step-by-step guided notes (3 pages) ✅ Visual diagrams showing how to derive each coordinate ✅ Special tria
9th - 12th, Higher Education
Calculus, Geometry, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
+2
Literal (Variable) Equations Worksheets and Notes for 8th, 9th & 10th Grade Math
This resource helps 8th, 9th and 10 grade students master solving literal, or variable, equations. Within 6 pages, the resource contains 40 well-structured exercises; problems including fractions, multiple terms, and equations with 2, 3, or more variables. Students practice with the exact types of problems they’ll see in class and on assessments, making this resource perfect for guided practice, homework, or test prep! What’s Included: 40 literal equation practice problemsMultiple choice and
8th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-CED.A.4
Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
This includes five note sheets (formatted so they work as part of an interactive notebook), one graphic organizer, and the slides that have all of the videos for all of these - and the rest of the year of calculus.
9th - 12th, Higher Education
Calculus, PreCalculus
Complex Numbers: Student-Generated Notes & Practice
Teach it your way.These notes and practice sheets allow you to choose how to teach the lesson. Whether you model first, let students lead, or use it for review, this sheet is your answer. Every section features a notes area and two problems, providing flexibility for various classes and learning levels.
9th - 12th
Algebra 2, PreCalculus
AP-Precalculus Preview Outlined Notes & Lesson Plan beginning of the year Review
This outlined note packet is intended forAP-Precalculus (or non-AP) to start off the year with some review topics and preview topics that will give your students time to prepare themselves for what the year will bring. It covers a wide variety of topics: exponent properties, solving linear equations and inequalities, slope (rate of change), equations of a line in all forms, linear regressions, solving systems of equations, factoring, solving quadratics, finding x and y-intercepts, and multiple r
9th - 12th
Calculus, Other (Math), PreCalculus
What is an Angle Measure? What is a Radian? Notes, Assignment, and KEYS
Guided Notes, Assignment, and KEYS!Are you still saying an angle measure measures the space between two rays? The "openness" between two segments? Or even worse, a "rotation"?? If this is you, the misconceptions must stop! Relearn what you are measuring when measuring an angle. After this lesson, your kids will see radians as the superior angle measuring unit!
6th - 9th
Geometry, PreCalculus
CCSS
HSF-TF.A.1
What is Sine? rSine? What is the Difference? Notes, Assignments, and KEYS
Guided Notes, Assignments, and KEYS!Covers What is the sine function?What is the rsine function?Differences and similarities between sine and rsine.Graphing and interpreting the graph of sine and rsine. Real life contexts.
9th - 12th
Geometry, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
+1
Guided Notes for Amplify Activity: "Polar Graph Exploration"
These are guided notes that pair with the Amplify activity "Polar Graph Exploration" by Meg Craig. I use this activity to introduce the main shapes of polar curves. I use these notes to hold students accountable during the activity and to give students a place to summarize what they learn as they explore polar graphs. This topic aligns to AP standards 3.13 - 3.14.
10th - 12th
PreCalculus
Arc Length Notes Assignment and KEY
Guided Notes, Assignment, and KEY!There's no need for formulas when the reasoning is simple! As long as your students understand that a radian is a unit of length, the math is elementary and intuitive! Take a look for yourself!
9th - 12th
Geometry, PreCalculus
CCSS
HSF-TF.A.1
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
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
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