Percent Increase and Decrease Quiz
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Polynomial Max/Min Values & Intervals of Increase/Decrease | Lesson, Worksheets
How to identify the intervals where polynomial functions are increasing and decreasing [using proper domain notation]. How to find all polynomial extrema values [local/relative & absolute maximum and minimum values]. Full lesson with 6 polynomial worksheets.----------------------------------------------------------------------✫ THIS ZIP-FILE IS ALSO INCLUDED IN MY ENTIRE POLYNOMIALS UNIT BUNDLE!✫ You might also be interested in: Long & Synthetic Division and Rational Roots / Zeros Theorem-----
9th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSA-SSE.A.1a
, HSA-SSE.B.3a
, HSA-APR.B.2
+5
Increasing, Decreasing and First Derivative Test | Calculus Notes & Video
Increasing, decreasing and First Derivative Test lesson for Calculus with guided notes, homework, and video lesson. Teach intervals of increase and decrease, derivative sign charts, and relative extrema.This is one lesson from my Calculus Unit 3 – Applications of Derivatives curriculum. It includes guided notes, homework practice, a full video lesson, and detailed step-by-step answer keys to support student understanding. This lesson is designed for a guided, non-AP Calculus course and works wel
11th - 12th, Higher Education
Calculus, Math
Calculus - Studying the Behavior of Functions Graphically
Students use the graphing calculator to create graphs of f, f’, and f”, and make observations about conditions that cause f to be increasing f to be decreasing, Extrema to occur A point of inflection based upon information from various graphs. This is a great lesson for students to use prior to knowing all the analytical techniques for taking a derivative. Using the built-in features on the graphing calculator students can graph a derivative of a function and a second derivative of a f
10th - 12th, Higher Education
Calculus, Math
Characteristics of Polynomial Functions Notes
Notes on a few quick topics my students were struggling with! Intervals of increase and decrease, intercepts, extrema, maximum and minimum, end behavior, domain and range. My special ed students needed some very clear outlined notes on these topics, so I made this for them. Hope you like it too! Stay tuned for practice pages to go with these notes!
8th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7a
, HSF-IF.C.8a
+1
Calculus - Reading and Using Information from the Graph of f'
From a graph of f’ students are asked to describe where f is increasing and decreasing, the locations for all local minimums and maximums for f, locations of all absolute minimums and maximums for f, locations of all points of inflection, and to make a sketch of f and f”.
10th - 12th, Higher Education
Calculus, Math
Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment
This resource includes notes, examples, and assignment using the 1st derivative to analyze functions. Topics included are: · Critical Numbers · Intervals of Increase and Decrease · Relative Extrema · Absolute Extrema Function types included are: · Quadratic · Cubic · Rational · Trigonometric
11th - 12th, Higher Education
Calculus
AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 5: Analytical Applications of Differentiation5.1 The Mean Value Theorem (MVT) and Rolle's Theorem 5.2 Using the First Derivative Test (Increasing/Decreasing, Critical Points) 5.3 Using the First Derivative Test (Relative Extrema) 5.4 Using the Second Derivative Test (Con
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
Regressions using the TI84 graphing calculator
Some questions in algebra and algebra 2 will ask for the equation of a curve or correlation coefficient. The r-value number describes both how well the equation of the curve fits and whether the graph is increasing or decreasing. The r- value will be positive if the graph is increasing and the r-value will be negative if the graph is decreasing. The closer the absolute value of r is to 1, the better the curve fits the data. An r-value of 1 means the curve fits the data perfectly and has a positi
8th - 12th, Adult Education, Higher Education
Algebra, Graphing, Statistics
Calculus - How are the Graphs of f, f ', and f " interrelated?
Using the graphing calculator, students learn how the graphs of the first and second derivatives describe the behavior of the original function. The activity is composed of four parts. Students make observations based upon a series of questions about increasing, decreasing, extrema, and concavity
10th - 12th, Higher Education
Calculus, Math
Linear Functions / Linear Graphs
Detailed study guide with exercises, rules, methods etc for how to sketch and interpret straight line functions at senior phase level. Includes eall of the following: Fundamental understanding of the Cartesian Plane & associated terminologyProperties of graphs (discrete, continuous, min & max values, increasing & decreasing)Horizontal & Vertical linesStandard formSketching using 3 methods (Table, Dual Intercept, Gradient method)Gradient (slope) & how to determine gradient using i) a graph or i
8th - 12th, Adult Education, Higher Education
Graphing, Math
CALCULUS: LOCAL EXTREMA, INFLECTION POINTS AND INTERVALS OF CONCAVITY
PREREQUISITE KNOWLEDGE:
The student should know how to find the derivative of any given function.
This step by step guide will meet the following objectives:
Objectives:
---------------------------------------
Upon completion of this section, the student should be able to:
• Use derivatives to determine the intervals of increase and decrease of a given function
• Use the First Derivative Test to determine any local maximum or minimum points
• Find inflection points
• Use the concav
11th - 12th, Adult Education, Higher Education
Calculus
Also included in: BASIC CALCULUS
Calculus-Making Observations about the Function and Its Derivatives from Graphs
This discovery activity is made up of 5 part plus a closing question. Part I: Students graph a function and its derivative. From the two graphs students observe that when the graph of the derivative of y1 is positive the graph of y1 is increasing and that when the graph of the derivative of y1 is negative the graph of decreasing. Part II: In part I students studied a function with a minimum. In this part students will repeat the same observations but with a function that has a maximum. Part II
10th - 12th, Higher Education
Calculus, Math
AP Calculus - f' Analysis Cheat Sheet
Help your students organize their thoughts of f' Analysis using thiHelp your students stay organized and master the fundamentals of calculus with this comprehensive, one-page f' Analysis Cheat Sheet. Perfect for AP Calculus students, this resource provides clear and concise explanations of critical points, increasing and decreasing functions, concavity, inflection points, and relative maximums and minimums using both the first and second derivative tests and how to justify them effectively! Key
9th - 12th, Higher Education
Calculus
Advanced Curve Sketching Practice — Calculus AB/Calculus 1
Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
9th - 12th, Higher Education
Calculus, Graphing
Also included in: Advanced Curve Sketching Practice & Key— Calculus AB/Calculus 1
Modeling Radioactive Decay Using Dice: An Inquiry Activity
In this activity, students will learn how radioactive decay proceeds, and how to interpret data from isotopes found in rocks. A set of dice will represent a population of decaying atoms, and as students roll and remove dice from the parent population, they will see that as the parent population decreases and the daughter population increases that a standard set of ratios can be developed and used in studying the ages of rocks. I strongly recommend investing in a set of 400 6-sided die, but ther
5th - 12th, Higher Education
Math, Science
Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
Take your students beyond basic derivatives with this powerful Applications of Derivatives Cheat Sheet for AP Calculus! This 2-sided, one-page resource clearly organizes the most important concepts from Units 4 & 5, helping students apply derivatives in real-world and exam-style situations. 📘 What’s Included:• Mean Value Theorem (MVT) • Extreme Value Theorem (EVT) • Critical points and the Candidate’s Test • Increasing & decreasing intervals • First and Second Derivative Tests • Concavity and
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1
This product (pdf) can be used as an in-class activity / homework / group work for curve sketching in differential calculus. The first 2 pages does a review of curve sketching. There are 6 curve sketching questions, followed by their key. For each question, the student must find the following: - domain - x,y intercepts - horizontal asymptotes (using limits) - vertical asymptotes (using limits) - increasing/decreasing (using first derivative) - local max/min (first derivative test) - concavity
12th, Adult Education, Higher Education
Calculus, Math Test Prep
Graphing Square Root & Cube Root Functions - Algebra 2 Guided Notes
Give your students a clear and visual approach to Graphing Radical Functions with this structured Algebra 2 Guided Notes Set. These notes guide students through understanding square root and cube root functions, identifying key features, and applying transformations with confidence. Radical Functions Overview — Introduces radical functions and distinguishes between square root and cube root parent functions.Key Features of Radical Graphs — Helps students determine domain, range, end behavior,
9th - 12th, Higher Education
Algebra, Algebra 2
CCSS
HSF-IF.C.7b
, HSF-BF.B.3
Also included in: Radicals & Rational Exponents - Algebra 2 Guided Notes
Graphs of First & Second Derivatives Identify and Match f, f', f''
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
11th - 12th, Higher Education
Calculus, Graphing
Also included in: Calculus Applications of Differentiation Unit Bundle
Calculus 2 Curriculum Bundle
This Calculus 2 Curriculum Bundle includes 58 classroom tested resources which will enhance your lessons and engage your students. My experience has shown that Calculus students succeed with varied lessons and activities and need a curriculum where each day is a new learning experience geared for all types of learners. The resources in this bundle will help you engage all of your students with rigorous and fun activities. Activity-based learning facilitates better understanding and you ca
10th - 12th, Higher Education
Calculus
PERCENT NOTES, REFERENCE & PRACTICE WORKSHEETS- PROPORTION
Find the Part, Whole, and Percent using the proportion method! This is a percent reference/notes sheet that will help students to learn how to do percents using the proportion method. The proportion method is described fully along with examples. Cross multiplication is covered as well.
Included: 2 practice worksheets. One with 20 questions and answer key and the other is as word problem worksheet with 12 questions and answer key AND a solutions page to show each problem and the steps used to
6th - 12th, Adult Education, Higher Education
Basic Operations, Math
Future Value & Retirement Bundle - 2 Lessons + Review + Quiz on Annuities
Teach your students to plan for the future with this ready-to-use bundle covering saving and withdrawing with annuities, using clear math applications that bring personal finance to life. Perfect for Personal Finance, Advanced Math, Algebra II, AQR, or Consumer Math, this bundle includes two complete lessons, a review worksheet, and a quiz — all designed to save you time and engage your students in meaningful financial literacy. What’s Included: Lesson 1: Future Value Formula – Saving with
9th - 12th, Adult Education, Higher Education
Algebra, Financial Literacy, Money Math
CCSS
HSN-Q.A.1
, HSN-Q.A.2
, HSN-Q.A.3
+4
Pi Day Bundle for All Ages: Lesson Plan, Puzzles, Coloring & Quiz for March 14th
Pi Day Bundle for All Ages: Lesson Plan, Puzzles, Coloring & Quiz for March 14thUnleash the excitement of Pi Day with our all-inclusive bundle for all ages! From elementary to high school, this package has something for everyone. Dive into tailored lesson plans, engaging quizzes, and challenging puzzles suitable for various age groups. Spark creativity with coloring pages and keep the fun going with word searches and mazes of varying difficulties. Whether you’re in kindergarten or high school, g
K - 12th, Adult Education, Higher Education
ELA Test Prep, Geometry, Math
Foundations of Algebra Bundle (14 Worksheets, 2 quizzes, and 1 Test)
Start your school year off right with a series of review over the fundamentals which will help all students to be successful during Algebra 1. There are a total of 14 worksheets, 2 quizzes, and 1 test over the foundation worksheets. All products are free so feel free to pick and choose which worksheets work best for you! Topics included in the worksheets are exponents, evaluating, volume, perimeter, Pythagorean Theorem and Applications, fundamental counting principle, interest, discount and tax
6th - 12th, Adult Education, Higher Education
Algebra, Math, Math Test Prep
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