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Preview of Precalculus Analyzing Rational Functions

Precalculus Analyzing Rational Functions

This product is designed for Precalculus students (or Advanced Algebra II or remediation for Calculus students) studying general rational functions. It includes 10 general rational functions where the student must factor and simplify the rational function. Then identify the horizontal asymptote, vertical asymptotes, slant asymptote, holes, x-intercepts, y-intercepts, domain, range, relative minima (by calculator), relative maxima (by calculator), intervals of increasing, intervals of decreasing,
Preview of Polynomial Functions Matching Worksheets, Task Cards & Google Forms Algebra 2

Polynomial Functions Matching Worksheets, Task Cards & Google Forms Algebra 2

Unlock the secrets of polynomials with these effective & engaging resources - Matching Activity, Task Cards, & Google Forms! Designed for Algebra 2 and Precalculus students, this offers a variety of engaging activities to solidify their understanding of polynomials - Say goodbye to rote memorization and hello to active learning! What's Included:Polynomial Operations & ClassificationIntercepts & ZerosZeros & MultiplicitiesEnd BehaviorIntervals of Increase & DecreaseFactor TheoremRemainder Theor
Preview of Daily Math Warm-Ups: Comparing Fractions Decimals And Percents (Grades 5–8)

Daily Math Warm-Ups: Comparing Fractions Decimals And Percents (Grades 5–8)

Created by
Trivia Press
Comparing fractions decimals and percents — 15-Worksheet Pack for Grades 5–8. Topics Included: * comparing fractions decimals and percents * converting decimals to fractions * converting fractions to decimals * converting fractions to percents * percent predictions and estimation * error analysis in percent problems * percents in sports performance * reading and writing decimal numbers * time and distance with decimals * finding percent of a number * place value in decimals
Preview of Characteristics of Exponential Functions Bundle

Characteristics of Exponential Functions Bundle

Do you need a complete unit on the characteristics of exponential functions? This bundle has EVERYTHING you need!Students will learn how to identify transformations given a parent function, how to graph exponential functions, and characteristics of exponential functions. Lessons include: translations of exponential functionstransformations of exponential functionsgraphing exponential functionsdomain and range of exponential functionsintercepts and end behavior of exponential functionsincreasing
Preview of Logarithmic Functions Graphing | TI-84 Step-by-Step Calculator Guide

Logarithmic Functions Graphing | TI-84 Step-by-Step Calculator Guide

This resource provides clear, step-by-step TI-84 instructions to help students graph and sketch logarithmic functions with confidence. It is designed for high school math, Algebra 2, and Precalculus, with special attention to struggling students, ESL/FLS learners, and support classes. Students learn how to: Enter logarithmic functions correctly on a TI-84 calculator Set an effective window to see the graph clearly Identify the domain and vertical asymptotes Recognize increasing and decreasing be
Preview of Rational Function Characteristics and Features - Worksheet

Rational Function Characteristics and Features - Worksheet

This worksheet allows students to practice finding characteristics and features of rational functions when given as a graph or an equation. Students need to know how to find x and y-intercepts both graphically and algebraically (or with technology). There are four graphs and four equations - for a total of eight functions.Students will be asked to find the following characteristics:Domain & RangeX-intercept(s)Y-interceptIncreasing/Decreasing intervalsEnd BehaviorAsymptotes (Horizontal and ve
Preview of Verifying Trigonometric Identities Practice Self Check | Proving Trig Identities

Verifying Trigonometric Identities Practice Self Check | Proving Trig Identities

Created by
Hoff Math
In this engaging self-checking activity, students prove trig identities, scan a QR code to get a hint, and a separate QR code to see the full solution. 3 levels are included which allows you to differentiate to meet your individual students' needs. What student doesn’t love to use their smartphones while doing their homework?! Click HERE to SAVE BIG by buying the Precalculus Full Curriculum Bundle. This bundle contains everything you need to teach a full year Precalculus course: notes, homework,
Preview of Different Types of Functions | Name That Function | Function Characteristics

Different Types of Functions | Name That Function | Function Characteristics

Different Types of Functions | Name That Function | Function Characteristics Looking for a way to organize your functions? These function templates are perfect for students to keep track of each function they learn about. Different Types of Functions: Linear, Absolute Value, Quadratic, Cubic, Square Root, Power, and Exponential Students can analyze each function by creating a graph and table. Students can identify x- and y-intercepts, minimum and maximum, domain and range (interval and inequali
Preview of Functions, Graphs, & Exponential Cumulative Spiral Review Worksheet - NC Math 3

Functions, Graphs, & Exponential Cumulative Spiral Review Worksheet - NC Math 3

This resource, for Algebra through Pre-Calculus (used in NC Math 3), covers topics from Unit 1 (Functions and Graphs) and Unit 2 (Exponentials and Logarithms). This 14 question review worksheet is perfect for a spiral review or sub plans! The color coded answer key is included in this 6 page PDF resource. The practice worksheet includes: Exponential ApplicationsPiecewise Functions: Graphically & Using an EquationKey Features of GraphDomainRangeIncreasing & Decreasing IntervalsPositive & Negativ
Preview of Parent Function Book Template

Parent Function Book Template

Created by
All About STEM
Parent graphs are common, relatively simple functions that are used frequently in math (and the majority of other function are created through transformations of these twelve). Asking students to memorize twelve graphs and traits for each can be overwhelming. To help my students better learn these graphs, they create their own book about the parent graphs. Each page includes a place for the original function, common points on the graph, a sketch, and a description that includes domain, range,
Preview of Average Rate of Change and Intervals - Guided Notes and Homework

Average Rate of Change and Intervals - Guided Notes and Homework

Created by
Eddie McCarthy
This lesson is part of my Quadratic Functions UnitThis lesson includes 2 pages of guided notes and a 2 page assignment. Students learn about average rate of change in the order below. They will: - Learn its basic definition (slope between two points on a graph) - Learn and understand its formula - Find the average rate of change for 3 different functions graphically and algebraically - Understand that an average rate of change of 0 does not mean the function was constant over the interval - Ind
Preview of Characteristics of Polynomial Functions Guided Notes Lesson for Algebra 2

Characteristics of Polynomial Functions Guided Notes Lesson for Algebra 2

Looking for a clear way to teach polynomial function characteristics in Algebra 2? These guided notes help students analyze key features of polynomial graphs, including zeros, end behavior, intervals, and relative extrema, using structured examples and visuals. Designed for direct instruction, this printable lesson helps students connect algebraic and graphical representations with confidence. This guided notes lesson focuses on polynomial function characteristics and gives students repeated
Preview of Polynomial Functions and Rates of Change Activity AP PreCalculus 1.4

Polynomial Functions and Rates of Change Activity AP PreCalculus 1.4

Created by
Joan Kessler
Are you looking for a Polynomial Functions and Rates of Change activity for your AP® PreCalculus which is challenging and covers all the topics describes in Topic 1.4? Students must complete 15 of the 16 questions to get through this self checking maze while applying the formulas, applications, and definitions listed in the AP PreCalculus Framework under Essential Knowledge. Questions include:Absolute Maximums and MinimumsGlobal Maximums and MinimumsRelative Maximums and MinimumsLocal Ma
Preview of Characteristics of Polynomials Worksheet - Includes Graphing

Characteristics of Polynomials Worksheet - Includes Graphing

Characteristics of Polynomials Worksheet – Graphing & Analyzing Polynomial Functions Need a clear, rigorous worksheet that helps students master the characteristics of polynomial functions? This printable and digital worksheet is perfect for reinforcing key skills— from graphing equations to analyzing graphs—and includes practice with all the essential concepts your Algebra 2 or Pre-Calculus students need. Skills Covered: ✏️ Write equations of polynomials given a graph Graph polynom
Preview of Characteristics of Polynomial Graphs

Characteristics of Polynomial Graphs

Created by
Mrs Cullis Room
In mixed sets of problems, student will: Describe the end behavior given the polynomial function.Identify whether degree is odd or even and whether leading coefficient is positive or negative given the graph of a polynomial function.Identify zeros, end behaviors, and sketch a graph given a polynomial function and its factored form.Identify many characteristics given the graph of a polynomial function, including: number of turning points, least possible degree, local minima and maxima values, rea
Preview of End Behavior of Functions Worksheet | Polynomial Graph Analysis

End Behavior of Functions Worksheet | Polynomial Graph Analysis

This End Behavior worksheet helps students practice identifying the end behavior of functions from graphs. Students analyze several graphs and determine what happens to the function as x approaches positive and negative infinity. Students will complete statements such as: As x → +∞, f(x) → ___ As x → −∞, f(x) → ___ The worksheet includes bilingual directions in English and Spanish, making it accessible for multilingual classrooms and Spanish-speaking learners. Students will practice: Inte
Preview of 7 Functions Key Features Graphs and Properties Bundle

7 Functions Key Features Graphs and Properties Bundle

Created by
Joan Kessler
This Key Features of Functions, Graphs, and Properties Bundle includes the following 7 resources. Graphs and Properties of Linear FunctionsGraphs and Properties of Quadratic FunctionsGraphs and Properties of Absolute Value FunctionsGraphs and Properties of Exponential FunctionsGraphs and Properties of Logarithmic Functions Graphs and Properties of Polynomial FunctionsGraphs and Properties of Rational FunctionsEach individual resource has Organizers and Interactive Notebook pages. Some have b
Preview of Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)

Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)

This Mega Practice Set is a collection of 32 multiple-choice exercises designed to help students master the behavior and graphing properties of exponential functions. Perfect for AP Precalculus classes, tutoring sessions, review days, and targeted skills practice. This PDF is organized into three levels of difficulty: Level 1 – Exponential Growth/Decay & LimitsStudents determine whether a function represents growth or decay, analyze end behavior, and calculate limits Level 2 – Table Interpre
Preview of Polynomial and Quadratic Inequalities Task Cards Guided Notes Quiz

Polynomial and Quadratic Inequalities Task Cards Guided Notes Quiz

Created by
Joan Kessler
With this activity on Solving Polynomial Inequalities your students solve polynomial inequalities by the number line graph and test method, sometimes called ABC method. Solutions are left in interval notation. What's included? 24 Task Cards with problems including quadratic and other polynomial inequalities. Three of the problems are applications. Though these problems have no graphs, and are not written in function form, your students can make a connection and see how they might analyze
Preview of Simplifying Trig Identities Study Guide and Quiz

Simplifying Trig Identities Study Guide and Quiz

Created by
Rise and Sine
Simplifying Trig Identities Study Guide and Quiz is designed to prepare and assess your students’ knowledge and mastery of simplifying trig expressions!  This review covers simplifying trig expressions using basic fundamental identities, Pythagorean identities, and expressions that require simplifying fractions or need to be factored. All the prep work is done for you!  Students will:Review simplifying trig expressions using the study guideDemonstrate their mastery of simplifying trig expressi
Preview of AP Precalculus Unit 1 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank

AP Precalculus Unit 1 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank

Save time and stay fully aligned — this ready-to-use Unit 1 assessment bundle covers every testable concept in AP Precalculus Polynomial & Rational Functions (Topics 1.1–1.14). ━━━━━━━━━━━━━━━━━━━━━━━━ WHAT'S INCLUDED (100+ Questions) ━━━━━━━━━━━━━━━━━━━━━━━━ Exam Version A — 15 MCQs + 1 FRQ Focus: polynomial modeling & applied contexts Exam Version B — 15 MCQs + 1 FRQ Focus: rational functions & analytic manipulation Quiz 1 — 5 MCQs (Topics 1.1–1.6, Polynomial) Quiz 2 — 5 MCQs (Topics 1.7–1.14,
Preview of AP Precalculus Unit 2 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank

AP Precalculus Unit 2 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank

AP Precalculus Unit 2 Assessment & Review Super-BundleMaster the complexities of Exponential and Logarithmic Functions with this all-in-one assessment and review suite. This bundle is meticulously engineered to align with the College Board’s AP Precalculus Course and Exam Description (CED) for Topics 2.1–2.15. By combining rigorous, AP-style summative exams with a massive 60-question comprehensive practice bank, this resource provides a complete instructional bridge from initial concept checks
Preview of PreCalculus Domain and Range Notes, Quiz and Maze

PreCalculus Domain and Range Notes, Quiz and Maze

PreCalculus Domain and Range This packet contains: 2 pages of scaffolded notes that the teacher could use to introduce domain and range 1 page of practice problems that could be used as a homework assignment or in class practice problems 1 page of problems (similar to the included practice problems) that could be used as a quiz 1 maze that asks students to practice finding the domain of functions. In order to complete this maze, students must be familiar with writing domains in interval notatio
Preview of Trig Identities Unit Bundle | Notes + Quiz, Test, Review & Projects | Algebra 2

Trig Identities Unit Bundle | Notes + Quiz, Test, Review & Projects | Algebra 2

Created by
LightandLogic
Trig identities worksheets for the complete unit — plus a quiz, test, review, cheat sheet, and 2 inquiry projects included as a free bonus. This trig identities bundle covers every major identity family: sum & difference, double & half-angle, sum-to-product, product-to-sum, cofunction, and even/odd. With 300+ problems across 5 scaffolded guided notes worksheets, full answer keys, Quick Reference Cards, and teacher notes throughout, this is the only resource you need to teach the entire trig iden
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