Percent Increase and Decrease Quiz
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Increasing and Decreasing Functions Guided Notes and Triple Match Activity
This Increasing and Decreasing Functions Guided Notes and Triple Match Task Card Activity will engage your students while they practice determining the intervals where the function is increasing and decreasing, a key property of functions. The notes also demonstrate where a function is constant. What's Included? Guided Notes with examples for students to complete12 Graphs of Functions, designed to be analyzed easily. 12 cards with intervals for increasing 12 cards with intervals for decreas
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
, HSF-IF.C.7
Increasing, Decreasing, and Constant Interval Foldable
A fun foldable to teach or review finding intervals on which a function increases, decreases, or is constant.
8th - 12th, Adult Education, Higher Education
Algebra 2, PreCalculus
Also included in: Functions Bundle
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 ✨
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
Also included in: Characteristics of Exponential Functions Bundle
Piecewise Functions Applications & Word Problems Practice Worksheet #1-CW + Quiz
This resource, for Algebra through Pre-Calculus, covers piecewise functions applications and word problems. The 8 practice problems increase in difficulty as the worksheet continues; this is worksheet #1. There is also a 4 question exit ticket included. Three versions of the same file are provided and labeled as Exit Ticket, Quick Check, and Quiz to fit a variety of classroom needs. The color coded solution key is included in this 10 page PDF resource. This practice worksheet #1 includes: Questi
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.C.7b
Functions Intervals of Increase or Decrease
Students will determine the intervals of increase and decrease for the functions provided as well as graph the functions and determine the relative maximum and minimums. This worksheet packet comes with a homework page at the end with four functions where students will use their calculator to determine the intervals of which the functions are increasing, decreasing, or constant.
9th - 12th
Algebra, Graphing, PreCalculus
Analyzing Graphs of Functions
This is a one-page foldable when printed front and back. The right margin cuts off so that it will fit into a composition notebook for an interactive notebook. This foldable has spaces for definitions for the following concepts:
Increasing
Decreasing
Constant
Positive
Negative
End Behavior
Absolute Maximum
Relative Maximum
Absolute Minimum
Relative Minimum
X-Intercept
Y-intercept
Average Rate of Change
These definitions are then followed by two examples with graphs. As of right now, the key i
7th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
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
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
CURVE SKETCHING SUMMARY SHEETS
This is a four page document summarizing sketching polynomial,radical and rational functions. They include domain and range, intercepts, symmetry, intervals of increase or decrease, local maxima or minima, intervals of concavity, points of inflection, vertical, horizontal, slant and parabolic asymptotes. All of my math summary sheets (15) can be found in one PDF file.
9th - 12th
Calculus, Math Test Prep, PreCalculus
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
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
Also included in: Algebra 1 Curriculum
Parent Function Introduction Absolute Value Notes
I am going to be trying to implement sketch notes this year. This is my first go to introduce the graph and characteristics of the absolute value function.
One worksheet to define the absolute value equation, set up the table, graph the function and find the characteristics of absolute value including:
x-intercepts
y-intercept
Domain
Range
Vertex
Intervals of increasing
Intervals of decreasing
End Behavior LHS
End Behavior RHS
9th - 12th
Algebra 2, Math Test Prep, PreCalculus
Graphing Polynomial Graphs | TI-84 Calculator Reference Sheet and Practice
These Polynomial Graphs Reference and Practice Sheets are a step-by-step guide on how to find the minimum, maximum, zeros, y-intercept, and intervals of increase and decrease for a polynomial function. This activity helps improve students’ understanding of the TI-84 Plus CE graphing calculator without repeating yourself over and over again. Add these calculator sheets to your lessons, and watch students’ confidence and accuracy improve as they independently work through polynomial graphs. WHAT
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7c
, MP5
Also included in: Polynomial Functions and Graphs Activities | Review Worksheets
Polynomial Graphs | TI-Nspire Calculator Reference Sheet and Practice
These Polynomial Graphs Reference and Practice Sheets are a step-by-step guide on how to find the minimum, maximum, zeros, y-intercept, and intervals of increase and decrease for a polynomial function. This activity helps improve students’ understanding of the TI-NSPIRE graphing calculator without repeating yourself over and over again. Add these calculator sheets to your lessons, and watch students’ confidence and accuracy improve as they independently work through polynomial graphs. WHAT’S
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7c
, MP5
Real World Critical Points of Relations: Domain Range,Increase Decrease
4 Real World situations with pictures, that students use to determine the critical values and intervals of relationships. Topics include: Domain and Range Intervals a Relation Increases and/ or Decreases Intervals where a relation is positive or negative Evaluating Functions
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.5
Parent Functions Key Properties and Graphs Foldable Notes
This Parent Functions Graphic Organizer is a great way for your students to learn about or review the graphs and key properties of 16 Basic functions. Students determine domain, range, increasing and decreasing intervals, relative maximum and minimums, intercepts and more.This concise foldable will help your students organize and study and will become a "go to" reference for a long time. The trifold even includes its own envelope template for notebook storage. FUNCTIONS INCLUDE Identity f
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+7
Also included in: Algebra 2 Activity Bundle with Foldables
Piecewise and Absolute Value Functions Lesson 6 of 7
I designed these lessons to teach my students about piecewise and absolute value functions (the 6th in a series of 7). This lesson focuses on describing a piecewise graph using increasing, decreasing, constant, continuous, and discontinuous. This lesson also reviews how to solve for a variable given a formula.
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+3
Calculus Derivative Tests, Related Rates, IVT, MVT, EVT for Graphic Organizer
This AP® Calculus derivative graphic organizer is a great way for students to easily access the information needed to solve related rate problems, know when to use the first and second derivative tests and understand the differences between intermediate value theorem, extreme value theorem and mean value theorem. All three include a partially filled out sample. Leaves room for sample problems and specific classroom formulas, notes, etc. Surface area and volume formulas folding graphic orga
9th - 12th
Calculus, Math, PreCalculus
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
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+6
Parent Functions Notes
A handout to guide students as they take notes on each of 6 parent functions: Quadratic, Linear, Exponential, Rational, Square Root and Absolute Value. Each function has a space to describe its name, intercepts, domain and range, symmetry, end behavior, increasing and decreasing behavior, a table of values and a graph. A Word document version is provided so you can adapt this handout to suit your needs.
9th - 12th
Algebra, Algebra 2, PreCalculus
Logarithmic Functions Transformations Scaffolded Notes
This product contains scaffolded notes for logarithmic transformations. It includes: basic properties of logs,common log,natural log,transformations (vertical & horizontal translation, vertical & horizontal stretching & compression, and reflections),graphing,domain & range,y-intercept, andand increasing & decreasing.The preview contains all student pages and one teacher page for your perusal. I hope you are able to use this product for the betterment of your students and it makes your life easie
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.C.7e
, HSF-BF.B.3
Also included in: Exponential & Logarithmic Functions Bundle
Algebra 2 Key Features Functions Guided Notes Lesson Practice x y intercept
Are you a High School Math Teacher looking for a set of Guided Notes for Key Features that include: hands-on Math Lab exploration, interactive discussion prompts and exit ticket? In this resource: x and y intercept/s, minimum & maximum values, increasing and decreasing intervals as well as end behavior. Students will explore multiple representations (tables, equations, and graphs) while staying challenged — no watered-down fluff here. What’s Included: Math Lab Exploration → hands-on opener t
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.5
, HSF-IF.B.6
+6
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
9th - 12th
Algebra, Algebra 2, PreCalculus
Piecewise and Absolute Value Functions Lesson 7 of 7
I designed these lessons to teach my students about piecewise and absolute value functions (the 7th in a series of 7). This lesson focuses on reviewing drawing basic geometric ideas (lines, rays, bisectors, etc), describe a graph using domain, range, maximum, minimum, intervals of increasing and intervals of decreasing, using a word description to draw a function and then writing the equation of that function, given a function and writing the inverse, and graphing an absolute value function and
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+3
Applications of Derivatives: Maximum Velocity of a Cough
This is created to be an in class assignment graded assignment, which will take approximately 25 minutes depending on the skill levels of the students. The answer key/scoring guidelines are attached at the end of the worksheet. The worksheet should be used after Increasing and Decreasing Functions and the First Derivative Test are taught.
9th - 12th, Higher Education
Calculus, Math, PreCalculus
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