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Programs & methods
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
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
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
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
9th - 12th
Applied Math, Math Test Prep, PreCalculus
Parametric Equations Guided Notes for Precalculus | Motion & Projectile Models
Help your Algebra 2 and Precalculus students finally understand parametric equations with this clear, structured, classroom‑ready set of Guided Notes. Students learn what parametric equations are, how they model motion, how to graph them by hand and with technology, and how to convert between parametric and rectangular forms. Includes examples, step‑by‑step procedures, conic section forms, projectile motion, and practice problems with a complete answer key. This resource is designed for AP Pre
9th - 12th
Algebra 2, Graphing, PreCalculus
AP Precalculus FRQ 1 Test Prep Notes: "What To Do When" with Justifications
The "What To Do When ..." of this handout pairs a process with each question stem for Free Response Question #1. Concepts include ... Function input-output valuesZeros of functionsInverses functionsComposition of functionsEnd behavior of functionsThe justification page shows students how to support their reasoning when determining a function type or stating if a function is invertible or not. For a review activity for FRQ 1, check out these task cards! For review notes on the big concepts cove
9th - 12th
Math Test Prep, 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
Imaginary & Complex Numbers + Quadratics Notes | with answer KEY
Ready-to-use Algebra 2 notes packet! Covers imaginary & complex numbers, quadratic equations with imaginary solutions, real-world examples, and lots of practice. Perfect for grades 10–12. Make teaching imaginary and complex numbers simple with this notes outline packet! Designed for high school Algebra 2 (grades 10–12), it covers operations with imaginary and complex numbers, plus solving quadratic equations with imaginary solutions. Includes guided notes, clear step-by-step examples, real-world
7th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
CCSS
HSN-CN.A.1
, HSN-CN.A.2
, HSN-CN.C.7
+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
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
Horizontal and Oblique/Slant Asymptote Notes, Limits as x Approaches Infinity
These notes cover finding horizontal and oblique asymptotes analytically. Students will be taking limits as x approaches positive and negative infinity. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out du
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
Basic Antiderivatives/Indefinite Integrals (Power Rule and Basic Trig) Notes
These notes cover introducing and finding antiderivatives of expressions using the power rule - as well as the six basic trig functions. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture
9th - 12th, Higher Education
Calculus, PreCalculus
Introduction to Motion Notes
These notes the basics of motion on a line (2 dimensions) both analytically and graphically. There is also a graphic organizer (copy it 2 to a page for and interactive notebook). As always with my lessons, there is a focus on justifying answers. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook
9th - 12th, Higher Education
Calculus, PreCalculus
Derivative Basics (Power Rule/Basic Trig) Notes
These notes cover simple and complex power rule and the six basic trig function problems. There is also a look at the continuity and differentiability of piece-wise functions. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My
9th - 12th, Higher Education
Calculus, PreCalculus
Vertical Asymptotes and One-Sided Limits Notes
These notes cover finding one-sided limits analytically and determining the equation for vertical asymptotes (and more on removable discontinuities). This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out durin
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
Formal Definition of Continuity Notes
These notes cover the three parts of the formal definition of continuity, examining graphs and equations, and justifying your answers. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture a
9th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
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