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Preview of Precalculus Unit 2 Lesson 3 - Increasing & Decreasing Functions

Precalculus Unit 2 Lesson 3 - Increasing & Decreasing Functions

Unit 2 of this Precalculus curriculum is called Functions. Unit 2 Lesson 3 is on increasing & decreasing functions. In this lesson, we cover how to: Determine the intervals on which a function is increasing Determine the intervals on which a function is decreasing Determine the intervals on which a function is constant Find the average rate of change over a given interval Identify local extremaThe objectives of the lesson are also clearly stated on the first page of the guided notes so the stude
Preview of Increasing and Decreasing vs Growth and Decay of Exponential Functions Notes

Increasing and Decreasing vs Growth and Decay of Exponential Functions Notes

Do you want a lesson on increasing & decreasing vs growth & decay of exponential functions? This lesson is ready to use and has everything you need! In this lesson your students will learn how to identify if an exponential function is exponential growth or exponential decay and if the exponential function is increasing or decreasing. Students will learn the difference between increasing/decreasing and exponential growth/decay. This lesson includes: ✨ 1 page of guided notes ✨ 1 page of practice ✨
Preview of Increasing and Decreasing Intervals

Increasing and Decreasing Intervals

Bundle of resources for a lesson on Increasing and Decreasing Intervals. Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to problem setsThe layout is very straightforward (no visua
Preview of Increasing and Decreasing Intervals of Functions (Desmos Graphing Calculator)

Increasing and Decreasing Intervals of Functions (Desmos Graphing Calculator)

Students use the desmos graphing calculator to graph 3 different functions and state where each function is increasing and decreases as well as the corresponding intervals.
Preview of Expansive Sequences and Series Lesson

Expansive Sequences and Series Lesson

Created by
Kendon Black
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
Preview of Characteristics of Polynomial Functions Notes

Characteristics of Polynomial Functions Notes

Created by
Dana Kick
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!
Preview of Analyzing Functions Notes and Worksheet

Analyzing Functions Notes and Worksheet

Guided notes and a follow up worksheet on where a graph of a function is increasing, decreasing, constant, piecewise functions, difference quotient and determining whether functions are even/odd/neither functions. Answer key included.
Preview of Characteristics and Attributes of Functions (Algebra 2 - Lesson 2)

Characteristics and Attributes of Functions (Algebra 2 - Lesson 2)

Notes and assignment over characteristics and attributes of functions for Algebra 2. This lesson goes over intervals where a function is increasing, decreasing, positive and negative. Identifying a function's domain and range is also required. This is typically a difficult lesson for Algebra 2 on-level students and may require 2 days to go over. TUTORIAL VIDEO included (no prep to you!) and can be found on my YouTube Channel: Mandy’s Math World - the video is on the Foundations for Functions
Preview of Graph Terminology - Guided Notes

Graph Terminology - Guided Notes

Created by
Rebecca Philyaw
This item is a set of guided notes used when teaching high school students how to read the graph of a function and determine domain, range, increasing, decreasing, global and local maximums and minimums, etc. I have typically used this when reviewing functions with my Pre-calculus classes. The student version and the teacher version are included.
Preview of Parent Functions Graphs Properties Transformation Assignment Digital plus Print

Parent Functions Graphs Properties Transformation Assignment Digital plus Print

Created by
Joan Kessler
Now you can assess your students' skills with the 12 Basic (Parent) Functions with ease. This digital resource which can be used as an Quiz, HW, or Paperless worksheet is designed with Google Forms™ which means it is NO PREP for you. The assignment will be graded automatically for you. Also included in a Printable version. There are 12 graphs which are transformations of the 12 basic functions. The functions are Constant, Identity, Square (Quadratic), Cube, Square root, Cube root, Recipr
Preview of Grade 12 Advanced Functions/Pre-Calculus • 1.3 Properties of Graphs

Grade 12 Advanced Functions/Pre-Calculus • 1.3 Properties of Graphs

This lesson is a continuation of Grade 11 review, as students analyze the characteristics of the 7 parent functions. Students will review the following properties: domain & range, intervals of increase/decrease, symmetry, continuity, and end behaviour. By the end of this lesson, students should not only be able to describe the parent functions by these characteristics, but can draw a function based on a given list of characteristics. This digital download also contains teacher solutions, and
Preview of Functions and Their Properties Advanced Math/Pre Calculus  Mini Lesson

Functions and Their Properties Advanced Math/Pre Calculus Mini Lesson

This SmartBoard mini lesson includes determining if a relation is a function, function notation, implied vs relevant domain, findng the domain and range of a function, continuity and types of discontinuity, increasing and decreasing functions, boundedness, local extrema, even and odd functions, identifying asymptotes,and using limit notation,
Preview of Parent Functions & Graphs Lesson | Warm-Up | Guided Notes | Homework

Parent Functions & Graphs Lesson | Warm-Up | Guided Notes | Homework

Build student engagement and participation as you teach functions. This Parent Functions and Graphs Lesson covers graphs of linear, absolute value, quadratic, and greatest integer functions by analyzing continuity, intercepts, local minima and maxima, intervals of increase and decrease, end behavior, asymptotes, domain and range in a creative, comprehensive, and clear way. Scaffolding is embedded right into the guided notes that students complete while you teach. Students remain motivated to pr
Preview of Analyzing Key Features of Functions Foldable

Analyzing Key Features of Functions Foldable

Looking to help your students learn the different aspects of analyzing functions? This foldable is the perfect intro and helps students visually see each characteristic along side a definition. Topics included: Linear/non-linearInterceptsLine SymmetryMaximum(s) and Minimum(s)Positive and Negative IntervalsIncreasing & Decreasing IntervalsDomain & RangeEnd Behavior (the answer key writes end behavior with arrows, like (, ), but you can adapt if using this foldable in a more-advanced course)All e
Preview of Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages

Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages

Created by
Math by Miriam
After you have introduced some basic concepts about polynomial functions and their graph to students, begin introducing them to analyzing the key features of the graph: zeros, turning points, local extrema, intervals where the function is positive & negative, and intervals where the function is increasing & decreasing. These scaffolded notes and practice pages work great for students to understand this complex topic. The only thing students need besides the note or practice page you give th
Preview of Logarithmic & Exponential Functions: Sort & Match Activity

Logarithmic & Exponential Functions: Sort & Match Activity

Looking for an engaging way to help your students master logarithmic and exponential functions? This hands-on mix-and-match activity is perfect for reinforcing key concepts while making learning fun! Students will: • Sort functions and identify their domain, range, zeros, y-intercept, and more. • Analyze positive and negative intervals, and determine increasing and decreasing behaviors. • Complete a cut-and-paste activity to match functions with their corresponding parts and glue them in orde
Preview of Characteristics of Exponential Functions Notes and Practice

Characteristics of Exponential Functions Notes and Practice

Do you need a complete lesson on identifying the characteristics of exponential functions? This lesson is ready to use and has everything you need! In this lesson your students will learn how to identify domain, range, asymptote, and end behavior or exponential functions. Students will also identify if an exponential function is increasing or decreasing and if it exponential growth or exponential decay. This lesson includes: ✨ 1 page of guided notes ✨ 1 page of practice ✨ 1 video lesson ✨ 3 exi
Preview of Pre-Calculus H:  Section 1.2 notes - Characteristics of Functions (w/ TK Sheet)

Pre-Calculus H: Section 1.2 notes - Characteristics of Functions (w/ TK Sheet)

This product includes the following: Fill in the blank copy of Guided notes and its key. The notes can be easily printed for students or downloadable for any device. This lesson is from my Pre-Calculus H Curriculum (in Unit # 1). This lesson includes the following concepts: Defining and applying symmetry and classification of functions.Defining and applying critcal point(s) and increasing/decreasing/constant intervals graphically using interval notationDefining and applying domain and range gra
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 and their Properties Digital plus Printable

Functions and their Properties Digital plus Printable

Created by
Joan Kessler
Are you looking for an end of unit digital assignment or assessment for PreCalculus Unit 1 ? This resource works very well with Unit 1 Functions and Graphs or for any time just to see what your students really know about functions. This NO PREP, self-grading assignment or assessment has 25 multiple choice questions and will challenge even your best students. Use as a review or assessment. Both Digital and Printable versions included. Printable version is free response. Topics include
Preview of Exploring End Behavior and Monotonicity of Functions

Exploring End Behavior and Monotonicity of Functions

Created by
DoctorJH
With the help of the TI-84 or compatible graphing calculator, SWBAT: Identify the end behavior of functions. Determine whether a function is increasing or decreasing on an interval. Includes: Lesson Plan (adapted for Smart Board), Worksheet/Lab and Solutions CCSS IF B.4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship
Preview of Pre-Calculus H:  Section 3.1 notes - Exponential & Logarithmic Functions

Pre-Calculus H: Section 3.1 notes - Exponential & Logarithmic Functions

This product includes the following: Fill in the blank copy of Guided notes and its key. Also included is a Common Powers Notecard Notecard to go with the notes....recommend printing this off in color to make information stand out and so students can use this while doing these notes. The notes (and notecard template) can be easily printed for students or downloadable for any device. This lesson is from my Pre-Calculus H Curriculum (in Unit # 3). This lesson includes the following concepts: Def
Preview of Graphing Tangent and Reciprocal Functions Review and Quiz

Graphing Tangent and Reciprocal Functions Review and Quiz

Created by
Rise and Sine
Graphing Tangent and Reciprocal Trig Functions Study Guide and Quiz will prepare and assess your students’ knowledge! This review will have students graph transformations of tangent, cotangent, secant, and cosecant. Each question is carefully selected so students will use all of the concepts and be thoroughly prepared for the corresponding unit assessment. All the prep work is done for you!  Students will:Demonstrate their understanding of graphing trig functions by:Identifying the equation th
Preview of Factoring & Graphing Polynomials Assessment | Quiz | Test | Review | High School

Factoring & Graphing Polynomials Assessment | Quiz | Test | Review | High School

Created by
LightandLogic
Everything you need to assess polynomial mastery in one package. This resource includes a quiz, unit test, and review materials covering characteristics of polynomial functions, graphing polynomial functions, factoring polynomial expressions, synthetic division, and the factor theorem. Answer keys included for quick grading. 📋 WHAT'S INCLUDED:Quiz (12 Questions Total):6 Multiple Choice5 Short Answer1 Bonus QuestionQuick Answer Key for fast gradingDetailed Solutions with step-by-step workUnit Te
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