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
Key Features & Function Transformations Practice Worksheet - NC Math 3 Aligned
This resource, for Algebra through Pre-Calculus (used in NC Math 3), covers key features of functions and function transformations. The first 3 questions ask students to identify the parent function and then find the key features of each (quadratic, exponential, and absolute value function). The remaining questions focus on transformations of functions represented multiple ways including as an equation and a graph. The solution key is included in this 4 page resource. This practice includes: Ke
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7
, HSF-IF.C.7a
+4
Expansive Sequences and Series Lesson
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
9th - 12th
Calculus, Math, PreCalculus
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
Parabola Cheat Sheet
This is a handout for Algebra 2 students that highlights parabolas and all of their properties. It includes domain, range, intercepts, increasing/decreasing intervals, min/max, axis of symmetry, vertex, focus, directrix, and examples of each form. This is intended to be used as a study aid during the parabola unit.
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSA-APR.B.3
, HSF-IF.B.4
, HSF-IF.C.7c
+2
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
Alg 2 - Unit 2 - Functions (part 2)
This packet continues to explore and deepen the understanding of functions and their characteristics (domain and range, decreasing, increasing and constant, max and min); operations with functions; piece-wise functions with graphing; difference quotient; and applications of functions (word problems). An interesting and challenging packet, it includes a detailed solution key and it is appropriate for Algebra 2 and Pre-Calculus. It could also be used for group work, for practice or for assessment.
9th - 12th
Algebra 2, Graphing, PreCalculus
Also included in: Alg 2 - Unit 2 Bundle: FUNCTIONS
Key Characteristics of Functions Summary
This MS PPT includes a review of the following 8 basic characteristics for functions. 1. Domain & Range 2. Increasing, Decreasing and Constant Intervals 3. End Behavior 4. Positive and Negative Intervals 5. Maximum and Minimum (Extrema) Values 6. X and Y Intercepts 7. Symmetry 8. MultiplicityThe 48 slides included in this slidepack are very detailed and highly animated. Multiple slides are included for each topic and various function gra
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.C.7a
+3
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
Transformations of Parent Functions ENTIRE UNIT BUNDLE
This bundle is for use during a Transformations of Parent Functions unit. This bundle includes: Introduction of the 7 parent functions & quiz Guided notes of transformations3 Homework worksheets (increasing difficulty)1 Matching Activity1 Paper Assessment1 Paperless Google Form AssessmentTransformations in this bundle could include: Translations -- horizontal & verticalReflections -- over x-axis & y-axisEnlargements -- stretches & compressionsParent Functions in this bundle could include: Cons
9th - 12th
Algebra, Algebra 2, PreCalculus
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
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