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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
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
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
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 - 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
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
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
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
Parent Functions Poster Set | Algebra 2, Precalculus, AP Calculus Decor Chart
Transform your math classroom with these bright and engaging Parent Functions Posters—perfect for Algebra 2, Pre-Calculus, or AP Calculus! This set includes 14 high-quality posters highlighting the most common parent functions your students need to recognize and understand. Each poster features a clear title and formula, making it easy for students to visualize and compare function families. Use these as anchor charts, bulletin board displays, or reference walls to support discussions about d
8th - 12th
Algebra 2, 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
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
Function Transformations Rule Sheet
Help your students keep function transformations from feeling overwhelming with this clear, student-friendly, and classroom-tested Function Transformations Rule Sheet. This resource works best near the end of a transformations unit as a summary/reference sheet students can use while combining common function transformations. Each transformation is explained in plain language with notation, visual examples, and algebraic examples so students can clearly see how translations, reflections, stretche
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.C.7
, HSF-BF.B.3
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
Polar Graphs TI-84 Reference Sheet plus Worksheet
This clear, concise Polar Graphing on the TI-83 or TI-84 Graphing Calculator Guided Notes plus Practice resource includes a two page illustrated handout which explains the steps used on graphing calculator to graph Polar Functions. Topics include WindowsStepsTracingConversion with Rectangular and Polar coordinates. Also included is an additional handout with 9 problems for students to practice graphing on the calculator. Answer key Included. These can be used as Binder Notes or printed sma
10th - 12th
Math, Other (Math), PreCalculus
Also included in: Parametric, Polar, and Vector Functions Unit 6 Bundle PreCalculus
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
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
Trigonometry Identities | Answer Key
Strengthen your students' understanding of trigonometric identities with this comprehensive worksheet! Designed for Precalculus students, it includes practice solving equations involving sine, cosine, tangent, and their reciprocal functions. Students will apply fundamental identities to find exact values and verify relationships, enhancing their skills for exams and homework. Clear instructions and answer key make grading efficient and straightforward.
9th - 12th, Higher Education
Algebra 2, PreCalculus
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
Power Functions | AP Precalc Practice | Answer Key
Empower your precalculus students with this comprehensive worksheet on power functions! Designed for both AP and regular courses, this resource covers identifying power functions, analyzing end behavior, domain and range, graphing, and real-world applications. Clear instructions and scaffolded practice ensure students build a strong foundation for advanced math topics. Perfect for classwork, homework, or review!
10th - 12th, Higher Education
Calculus, PreCalculus
Logarithmic Functions Graphing | TI-84 Step-by-Step Guide
Logarithmic Functions Graphing | TI-84 Step-by-Step Guide, Asymptotes, Domain & SketchingThis resource provides clear, step-by-step TI-84 instructions to help students graph logarithmic functions confidently. Designed for Algebra 2 and Precalculus, it is especially helpful for struggling learners, ESL/FLS students, and special education support. Students will learn how to: Enter logarithmic functions correctly on a TI-84 calculator Set an effective window to see the graph clearly Identify
11th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.5
, HSF-IF.C.7
+3
Trigonometric Identity Formulas
Compact list of Trigonometric Identity formulas, including Reciprocal and Quotient Identities, Pythagorean Identities, Sum and Difference Identities, Co-Function Identities, Odd Even Identities, Double Angle Identities, and Half Angle Identities.
9th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
Instantaneous Rate of Change | Answer Key
This worksheet focuses on estimating and calculating the instantaneous rate of change of functions at specific points. Students practice finding slopes of tangent lines using limits, difference quotients, and interpreting graphs or tables to approximate instantaneous rates. Problems include polynomial and quadratic functions. Ideal for deepening understanding of derivatives and preparing for calculus concepts.
9th - 12th, Higher Education
Calculus, PreCalculus
Geometric Series Worksheet | Answer Key
This worksheet provides practice problems on geometric series, helping students master the formula for the sum of the first n n terms of a geometric sequence. Includes tasks for finding sums in finite series, working with positive and negative common ratios, and interpreting series in real-world contexts. Suitable for precalculus and algebra students seeking to strengthen their understanding of sequences and series.
8th - 12th
Algebra 2, Geometry, PreCalculus
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