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Preview of Identifying Increasing and Decreasing Intervals Self-Checking Worksheet

Identifying Increasing and Decreasing Intervals Self-Checking Worksheet

Created by
Aric Thomas
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
Preview of Increasing & Decreasing Functions with Calculus: Interactive Drag & Drop

Increasing & Decreasing Functions with Calculus: Interactive Drag & Drop

Created by
Niki Math
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
Preview of Graphing Sine & Cosine Review + Quiz | Transformations & Real-World Models

Graphing Sine & Cosine Review + Quiz | Transformations & Real-World Models

Created by
Math Unbounded
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,
Preview of Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)

Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)

Created by
Niki Math
*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
Preview of Exit Tickets: Sequences and Series Skills

Exit Tickets: Sequences and Series Skills

Created by
Mr Johnney
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
Preview of Georgia Advanced Algebra Unit 7.5 Covers Standard FGR.8.3-Rational Graphs

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.
Preview of Functions: Concept, Review, & Challenge Problems

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
Preview of Average Rate of Change (AROC) and Concavity Analysis

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.
Preview of AP® Precalculus Unit 3.1 Periodic Phenomena Activity

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
Preview of Key Features of Function Graphs

Key Features of Function Graphs

Created by
mn math fun
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.
Preview of Functions, Key Features & Transformations Scavenger Hunt (Editable)

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
Preview of Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste

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.
Preview of Even/Odd Symmetry & Key Features Practice Pack

Even/Odd Symmetry & Key Features Practice Pack

Created by
Mr Johnney
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
Preview of Functions & Transformations Mastery Workbook (Grade 11)

Functions & Transformations Mastery Workbook (Grade 11)

Created by
Mr Johnney
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
Preview of Rates of Change Roller Coaster Activity Practice AP® Precalculus 1.2 and 1.3

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
Preview of Polynomial Functions and Rate of Change AP® Precalculus 1.4 Worksheet

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
Preview of Rational Graphs Study Page

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.
Preview of Precalculus Functions & Graphs Mastery Workbook (Grades 11–12)

Precalculus Functions & Graphs Mastery Workbook (Grades 11–12)

Created by
Mr Johnney
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,
Preview of Vectors, Parametric, and Polar Quiz Pack (Forms A/B)

Vectors, Parametric, and Polar Quiz Pack (Forms A/B)

Created by
Mr Johnney
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
Preview of Parent Functions & Transformations Review + Quiz | Algebra 1 & 2 | Gr. 9–11

Parent Functions & Transformations Review + Quiz | Algebra 1 & 2 | Gr. 9–11

Created by
Math Unbounded
Get your students assessment-ready with this Parent Functions & Transformations Review + Quiz Bundle—the perfect companion to your Linear, Absolute Value, and Quadratic Transformations lessons!This resource helps students consolidate their understanding of how a, h, and k transform graphs through guided review and aligned assessment. The review packet includes clear directions, study tips, and links to the two transformation lessons, while the quiz mirrors the same structure and language to
Preview of Sequences and Series Review and Quiz Test Assessment Practice Worksheet

Sequences and Series Review and Quiz Test Assessment Practice Worksheet

Review and Assessment to use after the Sequences and Series Chapter.  Practice, Review, Assessment. Concepts covered:  arithmetic sequences, arithmetic series, geometric sequences, geometric series (finite and infinite), sigma notation, word problems. Two part review:Review Part 1,  Concepts and Formulas :  16 questions Review Part 2, Practice Problems:  20 questions Test/Quiz, two versions  The same questions are used in both versions. Test Version 1:  12 questions (2 multiple choice and 10 op
Preview of Trigonometry Foundations Quiz & Test Pack

Trigonometry Foundations Quiz & Test Pack

Created by
Mr Johnney
The Trigonometry Foundations Quiz and Test Pack is a complete, classroom-ready assessment system for Grades 10–11 (Geometry / Precalculus). It is designed to assess right triangle trigonometry and introductory unit circle skills with clarity, rigor, and consistency—without requiring teachers to write or modify assessments. This pack includes four focused quizzes, each aligned to a core skill set: Basic trig ratios (SOH–CAH–TOA)Special right triangles and exact valuesInverse t
Preview of Derivatives Basics Quiz & Test Pack (Grades 11–12)

Derivatives Basics Quiz & Test Pack (Grades 11–12)

Created by
Mr Johnney
Build solid derivative foundations with this Grades 11–12 / Precalculus & AP Calculus AB Prep assessment pack that systematically checks every major rule before students reach higher-order calculus applications. Each quiz isolates a key rule, while the three-form unit tests mix concepts for cumulative mastery — giving you reliable data on who’s ready to move on. Students apply the limit definition first, then transition through the power, product, quotient, and chain rules in structured 20-qu
Preview of Limits & Continuity Quiz Pack (Grade 12)

Limits & Continuity Quiz Pack (Grade 12)

Created by
Mr Johnney
Assess limits and continuity with confidence using this Grade 12 — AP Calculus AB quiz pack designed for fast, clean classroom use. Each quiz targets one skill cluster, mixing multiple choice, short response, and graph interpretation so you can measure both accuracy and reasoning (not just “plug-and-chug”). Built-in A/B versions make it easy to protect test security and offer retakes without rewriting a new assessment. Topics Covered (content) • Limits from tables + basic graph reading • One
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