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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
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
Parent Functions and Conics Word Wall | Anchor Charts | Posters | Algebra & Trig
Help your students learn to visualize essential functions with these colorful Parent Functions and Conics posters. Use as a Word Wall or Anchor Chart on a Bulletin Board, while brightening up your classroom at the same time! Each is 81/2'' by 11", and can be resized as needed. You can also use the features of Adobe Reader to make them full poster size with scissors and a little glue. Many can be printed 1/2 page for interactive notebooks or handouts where students can identify the domain
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
, HSF-IF.B.5
+6
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
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
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
Logarithm Functions Graphing – Sketching, Domain, Asymptotes & End behaviour
Logarithmic Functions Graphing – Step-by-Step Sketching, Domain, Asymptotes & End Behavior (Student-Friendly Guide) This resource helps students understand and sketch logarithmic functions step by step, even at a basic or struggling level. It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior. Perfect for high school math, precalculus, algebra 2, and remedial or support c
11th - 12th
Algebra 2, PreCalculus
CCSS
HSF-LE.A.2
, HSF-LE.A.3
, HSF-LE.A.4
Also included in: bundle of logarithm function sketching graphing
Area and Law of Sines and Cosines Worksheet | Answer Key
This comprehensive worksheet covers finding the area of triangles using trigonometric formulas along with practice applying both the Law of Sines and Law of Cosines. Students work on calculating areas with SAS information, solving for missing sides and angles in all triangle types, and handling ambiguous cases. Perfect for precalculus or trigonometry students to deepen understanding of triangle applications and problem solving with step-by-step guidance.
8th - 12th
Geometry, PreCalculus
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
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
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
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
Function, First and Second Derivative Graph Match / Card Sort
This three-way match/card sort/puzzle connects facts about the original function to graphs of the first and second derivatives. My students started at the graph of the first derivative and then worked forwards and backwards to the second derivative and original function. This CAN be done when they first learn about derivatives before they learn about antiderivatives - it helps them make connections early. My students put their matches in their interactive notebooks.
9th - 12th, Higher Education
Calculus, PreCalculus
Unit Circle: Study Sheet, Quiz, and Answer Key
This resource includes a blank unit circle with areas to fill in the radian angles, degree angles, sine values, cosine values, and tangent values for student practice. Additionally, a unit circle quiz and answer key are also included with directions and a full page of problems of various difficulty levels to solve with a completed unit circle.
8th - 12th, Higher Education
Calculus, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
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)
Average and Instantaneous Rates of Change, Definition of the Derivative
These notes cover the average rate of change (AROC) and the instantaneous rate of change (IROC)/derivative. These note sheets are 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 and labeled their note
9th - 12th, Higher Education
Calculus, PreCalculus
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
Asymptotes, Discontinuities, and Continuity - Putting it all Together Assignment
Students will determine what asymptotes/discontinuities six different functions have. They will match their work to the graphs at the end. This is the last assignment before they start looking at derivatives. There are note sheets that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th, Higher Education
Calculus, PreCalculus
Horizontal and Oblique/Slant Asymptotes Assignment
This assignment covers using limits to determine the equations for horizontal, vertical, and oblique asymptotes. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th, Higher Education
Calculus, PreCalculus
One-Sided Limits and Vertical Asymptotes Assignment
This assignment covers finding one-sided limits graphically and focus on using limits to find vertical asymptotes. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
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)
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
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
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