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 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
IB Math Analysis & Approaches SL Notes - Unit 5 Calculus
These are handwritten notes for the fifth topic of the new Analysis & Approaches SL (AASL / A & A SL) course, for first exams in 2021. The HL course will contain this content, with some additional calculus subtopics. There will also be significant overlap with the A & I Topic 5. I wrote and sold notes for the old IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. If you want a preview, try the first topic of course notes f
10th - 12th
Calculus, Math, PreCalculus
Also included in: IB Math Analysis & Approaches SL - Complete Notes
IB Math Applications & Interpretation SL Notes - Unit 5 Calculus
This resource has handwritten notes for the fifth topic of the new Applications and Interpretations SL course, for first exams in 2021. There will be significant overlap with the A & A Topic 5, and this is a subset of A & I HL Topic 5. I wrote and sold notes for the current IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. My hope is that you will have a look at this free download, and if it seems like it would be helpful, p
10th - 12th
Calculus, Math, PreCalculus
Also included in: IB Math Applications & Interpretation SL - Complete Notes
IB Math Analysis & Approaches HL Notes - Unit 5 Calculus
These are handwritten notes for the fifth topic of the new Analysis & Approaches HL (AAHL / A & A HL) course, for first exams in 2021 - calculus. This has the 11 subtopics that are included in SL, plus an additional 8 subtopics for HL. There will also be significant overlap with the A & I Topic 5. I wrote and sold notes for the old IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. If you want a preview, try the first topi
11th - 12th
Calculus, PreCalculus
Also included in: IB Math Analysis & Approaches HL - Complete Notes
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
Precalculus: Function Basics
Guided notes for functions review for beginning of a precalculus course. Topics discussed include increasing, decreasing and constant functions, Even and Odd functions, Definition, graphing and evaluating piecewise functions, and the difference quotient. Contains blank notes for students to use and a filled out copy I use for myself in class with examples worked out.
11th - 12th
Algebra 2, Math, PreCalculus
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
Calculus Notes: The First Derivative and Extrema
A set of Calculus notes with an intro to the first derivative, including intervals of increasing/decreasing, relative extrema, and absolute extrema, as well as appropriate practice problems.
10th - 12th
Calculus, Math, PreCalculus
Properties of Functions and Function Library
This is an intense 28 page packet that covers topics and examples for the basics of functions
domain and range
continuity
intervals of increase and decrease
extrema
symmetry
asymptotes
x and y intercepts
end behavior
and then the following function families
linear
quadratic
cubic
square root
cube root
absolute value
reciprocal
exponential
logs
sine
cosine
greatest integer
all functions have a place for a sketch, table of values, function behavior (inc/dec/constant), end behavior, symmetry, domai
10th - 12th
Algebra 2, Calculus, PreCalculus
1.3 Function Analysis Notes
These notes will help students learn how to analyze functions. Characteristics covered include: Continuity Boundedness Mins/Maxs (Local and Absolute) Symmetry X-Intercepts Y-Intercept Intervals of Increasing/Decreasing/Constant End Behavior (in limit notation)
10th - 12th
Algebra 2, Math, 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
Functions Unit - Extrema
Looking for a lesson about the extrema of functions? Here you go! in this lesson students will learn: definition of maximum and minimumdefinition of increasing and decreasingabsolute vs relative max/minhow to Identify on a graphyou will receive a notes page that students can follow along with, a practice page that can be used for homework, and an answer key for both. This lesson was written for a general level Precalculus class but could be used in other classes.
11th - 12th
Algebra 2, PreCalculus
Unit 1 Honors Precalculus Reference Sheet (Functions & Graphs)
Great tool for studying for unit 1 test! 1.1 Introduction to Precalculus - factoring, exponent rules, how to use graphing calculator 1.2 Functions & Their Properties - domain, range, increasing/decreasing/constant, bounds, even/odd, continuity, extrema, intercepts 1.3 Parent Functions & Transformations 1.4 Composition of Functions - combining, composition, decomposition 1.5 Inverse Functions - solving & graphing
10th - 12th
Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+7
Graph Behavior & Average Rate of Change Foldable AP Pre-Calculus
This foldable is designed to help students make connections between the Average Rate of Change (AROC) and graph behavior. Students will explore how positive, negative, increasing, and decreasing AROC's impact the shape and direction of a graph. They will also answer targeted questions to deepen their understanding of graph behavior and how it relates to AROC. Perfectly complements AP Pre-Calculus 1.3 – Rates of Change in Linear and Quadratic Functions. And this foldable is editable in Canva! Wha
11th - 12th, Higher Education
Math, PreCalculus
Functions and Their Properties
This is notes that discuss the definition of a function and properties of functions. A worksheet and a key which include problems finding domain, range, local extrema, asymptotes, and intervals where the function increases, decreases or is constant.
CCSS: F.IF.4, F.IF.5
10th - 12th
Algebra 2, PreCalculus
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
Graphing Sine & Cosine Using Exact Values (radians)
Students use the exact values of Sine and Cosine on the Unit Circle (in radians only) to discover the curves. There are questions about domain, range, midline, max/min, period, concavity, and intervals of increasing and decreasing.
10th - 12th
Algebra 2, Other (Math), PreCalculus
Also included in: Graphing All Six Trig Functions - Plotting Points Discovery
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
Characteristics of Function Graphs Guided Notes & Worksheet End of Year Review
Help your students master key features of function graphs with these notes and practice activities! Perfect for review before finals or after testing.In this resource, students will explore all the important characteristics of function graphs, including: zeros maximums & minimums (both global and local) turning points average rate of change increasing & decreasing intervals domain, range, and end behavior What’s included: 3 pages of vocabulary notes to introduce and review key terms 4
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.5
, HSF-IF.B.6
+2
Also included in: Graph It, Analyze It: Domain, Range & Function Behavior Bundle
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
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
Also included in: Characteristics of Exponential Functions Bundle
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