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
TI-84 vs Desmos | Graphing Logarithmic Functions, Domain & Asymptotes Algebra 2
TI-84 vs Desmos | Graphing Logarithmic Functions, Domain & Asymptotes (Algebra 2)This resource helps students compare graphing logarithmic functions using a TI-84 calculator and Desmos, building both conceptual understanding and exam-ready skills. students clearly see how domain restrictions and vertical asymptotes appear differently on each tool. Students will: Graph logarithmic functions on a TI-84 Graph the same function using Desmos Compare how each tool shows domain restrictions Id
11th - 12th
Algebra 2, Calculus, Graphing
CCSS
HSF-IF.A.1
, HSF-IF.C.7e
, HSF-IF.C.8
AP Statistics Poster & Reference Sheet - TI-84 Inference Functions Proportions
Help your students master inference for proportions using the TI-84 Plus CE's built-in inference functions, which are approved for use on the AP Statistics Exam. These calculator functions help students quickly calculate confidence intervals and perform significance tests for proportions in seconds! This reference kit contains:Student Reference Cheat-Sheet - perfectly sized to fit in a binder.Poster - to anchor key learning on your classroom walls (two size options).Included Sizes:8.5 x
10th - 12th
Math, Statistics
AP Statistics Poster & Reference Sheet - TI-84 Inference Functions for Means
Help your students master inference for means using the TI-84 Plus CE's built-in inference functions, which are approved for use on the AP Statistics Exam. These calculator functions help students quickly calculate confidence intervals and perform significance tests for means in seconds! This reference kit contains:Student Reference Cheat-Sheet - perfectly sized to fit in a binder.Poster - to anchor key learning on your classroom walls (two size options).Included Sizes:8.5 x 11" - studen
10th - 12th
Math, Statistics
Calculus Integration with Inverse Trig Functions Circuit Training
Challenge your Calculus students' skills solving problems involving Integration with Inverse Trig Functions with this self-checking circuit style worksheet. This practice is designed to build your students' skills and proficiency. Included are 12 problems involving Inverse Trig functions including inverse sine, cosine, tangent, secant, and cotangent. Some problems include trig functions, exponentials and/or basic rules in which Inverse trig functions as components. Students should not need a
11th - 12th, Higher Education
Calculus
Also included in: Calculus 2 Circuit Training Bundle
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
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
Limits of Trig Functions for Calculus with optional QR
Your Calculus students find the limits of 16 trigonometric functions, some of which use basic identities, and others use the “special Limits", sin x /x, 1 - cos x / x, and variations of them. Use as Task Cards, Station cards, or as a worksheet. A second self-checking set with QR included. This practice will build your students' skills and proficiency on this topic. What's Included?Two sets of 16 Task cards, one with QR and one without. Students do not need to be on the internet to get the an
11th - 12th, Higher Education
Calculus, Math
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Complete Algebra Study Guide Bundle | Grades 4-12 | Foundations to Functions
The complete Open Latitude algebra series — three beautifully structured study guides covering the full algebra curriculum from Grades 4 through 12 in one discounted bundle.WHAT'S INCLUDED:Guide 1: Introduction to Algebra Study Guide (Grades 4–6) — variables, expressions and simple equations. Step-by-step worked examples, reference tables, practice problems and answer key.Guide 2: Algebra Equations Study Guide (Grades 6–8) — multi-step equations, like terms and the distributive property. Step-by
Not Specific
Algebra
Hyperbolic Functions and Calculus
Hyperbolic Functions are part of the Calculus Curriculum at colleges and universities. Though not necessarily on the AP Calculus exams, the topic is necessary for transition for those students who have earned college credit through the AP program and are continuing their education and pursuing a STEM career. This is a great topic for after the AP Calculus exams. Included:20 Task cards # 1 - 9 Students determine the derivatives of hyperbolic functions and hyperbolic inverse functions using the c
11th - 12th, Higher Education
Calculus
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
Integrals Involving Exponential and Logarithmic Functions Notes and Flashcards
These notes cover finding antiderivatives/indefinite integrals of functions that result in exponential or logarithmic expressions (using u-Substitution). It also includes a set of flashcards that has an exponential expression on one side and both the derivative and integral on the other for students to quiz each other (the one answering just sees the function). 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 ever
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Calculus Derivatives Chain Rule Digital Activity plus Cut and Paste Printable
This engaging Digital Interactive Derivatives by the Chain Rule Activity will give Calculus students a fun and interactive way to practicing finding derivatives with the chain rule! Also included is a printable version for your convenience. Two Activities:For the first part of the activity, students find the derivatives of 7 functions using the chain rule, matching the missing parts (the chain) by drag and drop. The second part of the activity contains three more rigorous chain rule problems.
11th - 12th
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
Tangent Lines to Parametric Vector Valued Functions Calculus
In this Tangent Lines to Parametric Functions (Vector Valued Functions) lesson, students use the formulas for derivatives of parametric equations to find derivatives and also find equations of tangent lines. They will also determine vertical and horizontal points of tangency for parametric curves (Vector Valued Functions). Included in the Activity: 10 Task or Station cards plus one blank for you to personalize if you choose. There are ten questions. For #1 – 8 students find a tangent line
10th - 12th
Calculus, Math
Calculus Worksheet - Derivatives of Trig Functions (Matching)
Need a worksheet to help your Calculus or AP Calculus students practice finding the derivatives of trigonometric functions? This matching worksheet will give students practice finding the first and second derivatives and using the first derivative to find the slope. Trig functions use only the basic derivative rules (product rule, quotient rule and chain rule) so it is wonderful for students who may or may not have learned the derivatives of exponentials, logarithms, etc. An answer key is inc
10th - 12th, Higher Education
Calculus, Math Test Prep
Also included in: Calculus Derivative Worksheet Bundle
Using Functions to Model Relationships Worksheet
The graph of this function represents all ordered pair combinations of two kinds of candy that can be bought with $50. This application works for both 8th grade and algebra-1. If you are using it for an algebra-1 class, you could use function notation. 8th graders are not required to use function notation in Common Core. I have included a detailed answer key. The preview above will give you a better idea.
8th - 11th
Algebra, Graphing, Other (Math)
CCSS
8.F.B.4
, HSF-IF.B.4
, HSF-IF.C.7
Algebra Quick Ref. Card - Free Print | Yrs 5-13 | Variables to Quadratic Formula
A free, beautifully designed one-page algebra reference card covering everything from variables and expressions through to the quadratic formula and functions — suitable for Grades 4 through 12. This ready-to-use quick reference card gives students an instant visual summary of the most important algebra concepts. Pin it on the classroom wall, slip it into a folder, or hand it out at the start of a unit. No prep required. WHAT'S INCLUDED: Variables and expressions, order of operations (BODMAS/PEM
Not Specific
Algebra
CCSS
6.EE.A.1
, 6.EE.A.2
, 6.EE.A.2a
+10
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
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