Function and Not a Function
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Programs & methods
Rational Functions Graphs and Key Properties with Asymptotes Digital and Print
This activity for Rational Functions is an engaging way have your students practice graphing and determine the Characteristics, Attributes, and Key Properties of Rational Functions in a unique graphic organizer format. Students determine the: domain and rangehorizontal asymptotesvertical asymptotes holesx – interceptsy-interceptsslant asymptotes when applicable for 11 problems. I have included slant (oblique) asymptotes only on the last three slides. These can be deleted if that topic is
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.C.7d
Also included in: Algebra 2 Digital MEGA Bundle plus Printables
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
Exponential Function Manipulation AP Precalculus 2.4 Self-Checking Activity
Students practice the 2.4 Exponential Function Manipulation lesson from AP® Precalculus with this fun, NO PREP, self-checking digital Paint Path Activity! Printable worksheet included for flexibility in your classroom! ⭐️ACTIVITY SKILLS:2.4A Rewrite exponential expressions in equivalent formsNote: Students must be familiar with ALL exponential properties⭐️WHAT'S INCLUDED:Digital Self-Checking Activity using Google Sheets™ (12 Questions)Printable WorksheetAnswer Keys IncludedMultiple Choice: #1
10th - 12th
PreCalculus
Limit of Functions
Chapter: LimitsThis chapter introduces the concept of limits, which form the foundation of calculus. Limits describe how a function behaves as the input approaches a particular value, even if the function is not defined at that value. Understanding limits is essential for studying continuity, derivatives, and integrals. Students will learn to evaluate limits using graphs, tables, algebraic techniques, and analytical reasoning. The chapter covers one-sided limits, limits at infinity, and infin
10th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
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
Unit 1 AP Precalculus Polynomial and Rational Functions Review Activities
Students practice reviewing Unit 1 Polynomial and Rational Functions from AP® Precalculus with these TWO fun, NO PREP, self-checking digital activities! Printable task cards available for flexibility in your classroom! WHAT'S INCLUDED:1.1-1.6 Level Up Game Review Activity (using Google Sheets) - 20 questions1.7-1.14 Mystery Picture Reveal Activity (using Google Sheets) - 20 questionsPrintable Task CardsAnswer Keys IncludedNote: The two activities are a mix of both multiple choice and short a
10th - 12th
PreCalculus
Also included in: Unit 1 Polynomial and Rational Functions AP Precalculus Activity Bundle
AP Precalculus FRQ 4 Test Prep Review Circuit on Trig and Inverse Trig Functions
Allow students to self-check their skills with this FRQ 4 Review Circuit! Students will be asked to ... Solve equations using given trig and inverse trig functions. Rewrite function expressions in equivalent forms. Determine the exact values of expressions without a calculator.Write equation to represent a solution set with infinitely many solutions.For a review activity for FRQ 1, check out these task cards! For a review activity for FRQ 3, check out these stations! AP® is a registered trade
9th - 12th
Math Test Prep, 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
AP® PreCalculus - Unit 4: Functions and Modelling
Unit 4: Functions & ModelingTopic 1: Function Characteristics4.1 Function notation & structure 4.2 Average rate of change 4.3 Domain & range 4.4 Composition of functions 4.5 Inverse functions 4.6 Even & odd functions Topic 2: Transformations of Functions4.7 Vertical & horizontal shifts 4.8 Reflections 4.9 Stretching & compressing 4.10 Combined transformations 4.11 Piecewise functions Topic 3: Function Families & Modeling4.12 Linear vs nonlinear models 4.13 Polynomial models 4.14 Rational models
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
Sinusoidal Function Context and Data Modeling 3.7 AP Precalculus Activity
Students practice the 3.7 Sinusoidal Function Context and Data Modeling lesson from AP® Precalculus with this fun, NO PREP, self-checking digital Path Activity! Printable worksheet included for flexibility in your classroom! ACTIVITY SKILLS:3.7A Construct sinusoidal function models of periodic phenomenaApplications of trigonometric sine and cosine functions including maximum, minimum, period, frequency, phase shift, and sinusoidal regression equations.WHAT'S INCLUDED:Digital Self-Checking Acti
10th - 12th
PreCalculus
Also included in: Unit 3 Trigonometric Functions AP Precalculus Activity Bundle
Exponential Functions AP Precalculus 2.3 Self-Checking Activity
Students practice the 2.3 Exponential Functions lesson from AP® Precalculus with this fun, NO PREP, self-checking digital Path Activity! Printable worksheet included for flexibility in your classroom! ACTIVITY SKILLS:2.4A Identify key characteristics of exponential functions - increasing/decreasing behavior, concavity, end behavior, etc.WHAT'S INCLUDED:Digital Self-Checking Activity using Google Sheets™ (12 Questions)Printable WorksheetAnswer Keys IncludedAP® is a registered trademark of the C
10th - 12th
PreCalculus
Precalculus Exam Reviews/Calculus Prerequisite Reviews
This is a set of three review sheets that are designed to be used at the beginning of Calculus course or as exam reviews for Algebra 2 or Precalculus. They could also be used for SAT or ACT prep, college entrance exam review or for any purpose you wish. Included are reviews for: Exponents, radicals and functionsPolynomial functions and manipulationsThe unit circle and trigonometric functionsThe first two have optional answer banks that you can give students to use as they work out the review p
10th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
HSA-SSE.B.3a
, HSA-SSE.B.3c
, HSA-APR.A.1
+9
sketching logarithmic graphs ,logarithmic functions - graph , algebra 2
unit 7 exponential and logarithmic functions - graph , algebra 2Logarithmic 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 sch
11th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.5
, HSF-IF.C.7
+2
Also included in: bundle of logarithm function sketching graphing
Logarithmic Functions Graphing – Step-by-Step Sketching
unit 7 exponential and logarithmic functions - graph , algebra 2Logarithmic 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. Perfect for high school math, precalculus, algebra 2, and remedial or support classes, this guide is especially useful for weaker students, ESL learners, and students with learning difficultie
11th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7e
, HSF-BF.B.4c
+1
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
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
AP Precalculus Free Response Question 1 Test Prep Review Tasks
In a series of eight tasks , students will examine a variety of functions presented as tables, graphs, and equations. Concepts include ... Function input-output valuesZeros of functionsInverses functionsComposition of functionsEnd behavior of functionsIdentiyfing function typesFunction types include linear, quadratic, cubic, quartic, rational, exponential, and logarithmic. Interested in more review materials for FRQ 1? Check out this "What To Do When" note sheet! For a review activity for FRQ 3
9th - 12th
Math Test Prep, 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
AP® PreCalculus Mock Exam Set | 3 Full-Length Practice Tests, Rubrics & Solution
AP® Precalculus Exam Structure:Section I: 40 Multiple-Choice Questions per exam (Part A: 28 Calculator Not Permitted, Part B: 12 Graphing Calculator Required), covering all major conceptual themes from Units 1–3 (Polynomial and Rational Functions, Exponential and Logarithmic Functions, and Trigonometric and Polar Functions).Section II: 4 Free-Response Questions per exam (Part A: 2 Graphing Calculator Required, Part B: 2 Calculator Not Permitted), featuring classic AP® Precalculus archetypes: Fun
12th
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
AP PreCalculus Unit 3 Trig Functions Activity Bundle
Are you looking for engaging interactive activities to reinforce your AP® PreCalculus guided notes and lessons for Unit 3: Trigonometric Functions? Teaching a new course is never easy and can be a challenge. Unit 3 should take between 8 and 11 weeks and is the last Unit included on the AP® Exam. Whether you are reorganizing your old PreCalculus notes to fit the new framework, or are using Calc Medic®, Flipped Math® (aka the Algebros) notes, or some other note based curriculum, your student
11th - 12th
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
Finding Limits Analytically Digital Maze plus Printable and Digital HW
This rigorous and fun digital practice for Finding Limits Analytically (Algebraically) before Transcendentals is NO PREP and paperless. Students find the limits analytically for a variety of functions as they work through a fun maze. Each solution leads to the next problem. The Limits do not include trig functions or other transcendentals or limits as x approaches infinity. Problems include polynomials, rational functions, and piecewise defined functions with 20 possible questions of which 15
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits Bundle of Fun Activities for Calculus
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
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
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