Percent Increase and Decrease Quiz
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Programs & methods
Identifying Increasing and Decreasing Intervals Self-Checking Worksheet
Identify intervals where f(x) is increasing or decreasing by analyzing the sign of f'(x). Standards: AP Calculus AB/BC Unit 5 — FUN-4.A (monotonicity from f'). This is a self-checking worksheet. Each problem has a matching answer in the design grid above; as students shade in their answers, a symmetrical pattern appears. If the pattern looks right, the work is right — students catch their own mistakes before turning it in, and you can spot-check the page at a glance. Works for classwork, homewor
11th - 12th
Calculus, Math Test Prep, PreCalculus
Increasing & Decreasing Functions with Calculus: Interactive Drag & Drop
Master Monotonicity with the First Derivative Test! 🚀🔢 Turn the abstract concepts of Calculus into a hands-on, engaging experience! This digital activity challenges students to explore the behavior of functions using the power of derivatives. No more messy scribbles—just pure logic and interactive fun as they determine exactly where a function rises and where it falls! Why this Calculus Activity "Rocks" the Classroom: 🎸 Tactile "Drag & Drop" Learning: 🗝️ Each slide presents three challenging
11th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Graphing Sine & Cosine Review + Quiz | Transformations & Real-World Models
Boost student mastery with this printable Graphing Sine and Cosine Functions Review and Quiz, perfect for Trigonometry, Pre-Calculus, and Honors Algebra 2. Students will practice amplitude, period, midline, and transformations through scaffolded levels, real-world applications, and clean graph templates. Includes answer keys for no-prep grading and quick feedback. What’s Included:✔️3-tiered graphing practice (Level 1, 2, and 3) with increasing difficulty ✔️Student analysis of amplitude, period,
10th - 12th
Algebra 2, PreCalculus
CCSS
HSF-TF.A.3
, HSF-TF.B.5
Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)
*The product is designed for PreCalculus through Calculus. These are 10 practice pages/sheets on sequences containing a total of 80 classified problems. Students will find the first n terms of explicitly- defined sequence (page 1, 10 problems)find the first n terms of recursively – defined sequence (page 2, 8 problems)write the explicit rule for the nth term of a given sequence (page 3, 10 problems)determine whether given sequences are monotonic (page 4, 8 problems)prove that given sequence
10th - 12th
Algebra 2, Calculus, PreCalculus
Exit Tickets: Sequences and Series Skills
The Exit Tickets: Sequences and Series Skills pack is a targeted formative assessment tool designed for Grades 11–12 (Algebra 2 / Precalculus). Each exit ticket checks one specific skill, allowing teachers to quickly diagnose understanding at the end of a lesson without overwhelming students or increasing grading time. The resource includes 20 exit tickets, organized by skill category: classifying sequence type, finding missing terms or formulas, evaluating simple series, determining conve
11th - 12th
Algebra 2, Math Test Prep, PreCalculus
Georgia Advanced Algebra Unit 7.5 Covers Standard FGR.8.3-Rational Graphs
Rational graphs- finding horizontal asymptotes, vertical asymptotes, and holes. No slant asymptotes here. Also, analyzing these graphs: domain, range, intercepts, increase, decrease, positive, negative. 19 total questions. All the notes. Teacher examples.
9th - 12th
Algebra, Algebra 2, PreCalculus
Functions: Concept, Review, & Challenge Problems
Review packet for Functions Unit covering: Features of Functions Graphically & Algebraically - Domain - Range - Intercepts - Increasing & decreasing - Positive & negative - Relative maxima/minima - Absolute maximum/minimum - Average rate of change - Average rate of change & difference quotient - Concavity & inflection Points - Odd & even Operations & Compositions of Functions - Sum, difference, product, and quotient of functions & their domains - Composition of functions & their dom
9th - 12th
Algebra 2, PreCalculus
Average Rate of Change (AROC) and Concavity Analysis
Students calculate and analyze how the average rate of change changes over various intervals of increasing/decreasing & concave up/down functions. Students describe if the AROC is positive or negative and if it's increasing or decreasing as you move from left to right across the interval. Pictures of the graphs with the secant lines support students' understanding of the AROC changes.
9th - 12th
PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.B.6
AP® Precalculus Unit 3.1 Periodic Phenomena Activity
Do you find that your AP ® Precalculus need more practice relating to periodic functions and finding the intervals for increasing, decreasing and concavity? Students will work through six problems to describe how to tell functions are periodic and then to describe the intervals for increasing, decreasing, concave up and concave down. ⭐Skills Required: Writing intervals for increasing and decreasingWriting intervals for concave up and downDetermining functions are periodic or not❤️Resource is Gr
9th - 12th
Algebra 2, Calculus, PreCalculus
Also included in: AP Precalculus Trignometric and Polar Functions Activity Practice Bundle
Key Features of Function Graphs
20 function graphs from piecewise, polynomials, to rational functions are available for your students to explore: domain, range, increasing/decreasing/constant intervals, intercepts, positive/negative intervals, and average rate of change. These are key features that every Algebra 2 and college preparatory student must know.
10th - 12th, Higher Education
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.5
Functions, Key Features & Transformations Scavenger Hunt (Editable)
With this editable scavenger hunt students can practice listing out the key features of functions like the function family, domain, range, intervals postivie, negative, increasing and decreasing, plus transformations of functions. Students have 14 problems total and they make a loop; students can check their work by looking at the order of the letters and making sure their phrase matches! I have my students go in the hall to work on this. Also, the google slides are editable so if you need to ad
9th - 12th
Algebra, Algebra 2, PreCalculus
Calculus Summer Assignment
Self-executing lessons are ideal for sub-plans, as supplemental material for "flipped" classrooms, or for any teacher wanting to leverage their limited instructional time. The learning of basic notation and rules is accomplished via pattern recognition. This self-executing lesson will get precalculus students started learning calculus over the summer so that next year begins smoothly. It would be particularly useful for calculus teachers needing to accelerate the pacing of their curriculum. DA
10th - 12th
Calculus, PreCalculus
Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste
Do you find that your AP ® Precalculus need more help on the change in tandem topic? Students will work on identifying the relationship between the input and output for given functions graphically and describe the rate of change as increasing, decreasing, positive and negative for AP ® Precalculus topic 1.1. This activity can be completed as just a worksheet or as a cut and paste activity. Students can cut out the solutions and paste them into the specific box for easy differentation as well.
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Even/Odd Symmetry & Key Features Practice Pack
Build durable fluency with graph shape language in one focused bundle for Grades 11–12 (Honors Algebra 2 / Precalculus). Students master the core trio that drives function analysis and test success: even/odd classification, axis/origin symmetry, and key features from graphs and tables— intervals of increase/decrease and local vs. absolute extrema. Each section opens with tight Key Ideas, then moves into scaffolded exercises that require algebraic proofs with (f(-x)), symmetry substitution c
11th - 12th
Algebra 2, PreCalculus
Also included in: Precalculus Daily Routine Bundle | Warm-Ups, Exit Tickets & Key Features
Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS
Build deep understanding of functions using derivatives, limits, and curve analysisThis bundle is designed for high school math teachers who want students to move beyond procedural differentiation and toward true conceptual mastery of function behavior. Students learn how derivatives, limits, and asymptotes work together to describe increasing and decreasing behavior, local extrema, concavity, inflection points, and global structure of functions. Instead of isolated skills, the materials prese
9th - 12th
Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+33
Complete Curve Analysis – Mastering Function Behavior in High School Mathematics
Curve sketching is more than drawing graphs—it is about understanding how functions behave. Complete Curve Analysis helps students move beyond memorized checklists toward genuine mathematical insight. This classroom-ready resource presents curve analysis as a coherent analytical process. Students explore how the function term, its derivatives, and its limits interact to shape the overall graph. By focusing on reasoning and interpretation, the material enables learners to explain why a funct
9th - 12th
Calculus, PreCalculus
Functions & Transformations Mastery Workbook (Grade 11)
A copy-and-go practice workbook for Grade 11 (Algebra 2 / Precalculus) that builds fluency from first principles to multi-step transformation problems. Ten scaffolded units move from relations vs. functions and function notation through domain/range, parent functions, and every core transformation: translations, reflections, vertical/horizontal stretches/compressions, and combined moves—with interpretation of increasing/decreasing intervals, end behavior, and key features. A Teacher Pacing Gui
11th
Algebra 2, PreCalculus
Rates of Change Roller Coaster Activity Practice AP® Precalculus 1.2 and 1.3
Do you find that your AP ® Precalculus need more help connecting rate of change to real scenarios? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.2-1.3. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingConcave up and concave down❤️Resource is Great for: AP® PrecalculusAP® CalculusAlgebra 2Remote LearningHomeschoolingTutoring⭐Includes: 2-page activity (2 versions
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Polynomial Functions and Rate of Change AP® Precalculus 1.4 Worksheet
Do you find that your AP ® Precalculus students need more help connecting average rate of change to graphs and applying key characteristics to polynomial functions? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.4. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingMaximum and MinimumGlobal, absolute, local, relative❤️Resource is Great for: AP® PrecalculusAP® Ca
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Rational Graphs Study Page
This is a duplicate of 7.5 in the Georgia Series. Has all the notes you need. 19 problems for the kids. Ten problems asking for vertical asymptotes, horizontal asymptotes, and holes in the graph. Does not include slant asymptotes. Asks them to graph some using intercepts and then has them analyze graphs by asking for domain, range, intercepts, increase, decrease, positive, and negative.
9th - 12th
Algebra, Algebra 2, PreCalculus
Precalculus Functions & Graphs Mastery Workbook (Grades 11–12)
A copy-and-go flagship workbook for Grades 11–12 (Honors Algebra 2 / Precalculus) that builds deep fluency with functions and graphs. The course is organized into 8 tight units with a full Solutions section: (1) Function review & notation, (2) Parent functions overview, (3) Transformations in full generality (y=a,f(b(x-h))+k), (4) Symmetry, even/odd, and periodicity, (5) Domain/range, intercepts, asymptotes, end behavior, (6) Increasing/decreasing intervals, extrema, and key features,
11th - 12th
Algebra 2, PreCalculus
Trig Identities Unit Bundle | Notes + Quiz, Test, Review & Projects | Algebra 2
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
9th - 12th
Algebra 2, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.C.8
+1
Precalculus Assessment Suite | Quizzes, Unit Tests & Exit Tickets
Streamline your grading and track student progress with this comprehensive 3-resource assessment bundle. Designed to provide a complete picture of student mastery, this collection covers everything from daily checks for understanding to high-stakes unit exams. Every assessment is professionally formatted with clear mathematical notation and high-resolution graphs, ensuring your materials look polished and textbook-quality. What’s Included in This Bundle?1. Precalculus Functions and Graphs Quiz
11th - 12th
Algebra 2, Math Test Prep, PreCalculus
Vectors, Parametric, and Polar Quiz Pack (Forms A/B)
Assess mastery quickly and consistently with this Vectors, Parametric, and Polar Quiz Pack featuring ready-to-print quizzes organized by topic and provided in Form A/Form B for easy differentiation, retakes, or parallel classes. This pack includes 4 topic-based quizzes—Vectors, Dot Product, Parametrics, and Polar—each written as a clean, classroom-friendly check for both skills and reasoning. Each quiz includes clear directions (“show work,” exact answers when appropriate) and a balanced mix
11th - 12th
Math Test Prep, PreCalculus
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