Percent Increase and Decrease Quiz - Page 3
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Programs & methods
Key Features of Function Graphs
20 function graphs from piecewise, polynomials, to rational functions are available for your students to explore: domain, range, increasing/decreasing/constant intervals, intercepts, positive/negative intervals, and average rate of change. These are key features that every Algebra 2 and college preparatory student must know.
10th - 12th, Higher Education
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.5
Combining Function, Inverse Function, and Transformation
This is a 2-page summary worksheet on combining functions (including composition), inverse functions, properties of function (domain, range, increasing/decreasing intervals), and transformation of functions.
It is packed with graphing exercises in transformation.
This would be good for a study guide for a pre-calculus/algebra 2 test on functions or a quick review of functions in a beginning calculus class.
9th - 12th, Higher Education
Algebra 2, PreCalculus
CCSS
HSF-BF.B.3
, HSF-BF.B.4
Graphing and Interpreting Extrema
This worksheet has two problems, one polynomial and one piece-wise, and has students determine domain and range, even and odd, max and min, increasing and decreasing for each problem.
11th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7a
Also included in: Pre-Calculus Unit 1: Functions
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
student: HPC: CU 1A: 1.2 Day 2: Functions and their properties
- Continuity of Functions
- Removable and nonremovable discontinuity
- Identifying points of discontinuity
- Finding Local Maximum and Minimums
- Identifying Intervals where function is increasing, decreasing, and constant
- Determining Boundedness of a Function
10th - 12th
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
Functions Chapter Test Review
This is the review I give to my students to prepare for their chapter test in pre-calculus Topics covered are: 1.) Domain and Range, increasing decreasing, constant intervals, bounded functions, extrema, discontinuities, and end behavior 2.) Implied domain of functions 3.) Transformations of functions 4.) Piecewise Functions 5.) Operations of functions 6.) Inverse of functions
10th - 12th, Higher Education
Math, Other (Math), PreCalculus
Analyzing Functions
Here are four examples (with a key) for analyzing functions based on: 1. x and y intercepts 2. relative maximums and minimums 3. positive and negative 4. increasing and decreasing 5. domain and range 6. end behavior
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
, HSF-IF.C.7a
Parent Graphs and Attributes Notes INB
With this product you get two pages of notes that cover 7 parent graphs and their attributes. The attributes include domain, range, interval of increase and decrease, and x and y intercepts. There are 7 parent functions: Linear, Quadratic, Absolute Value, Cubic, Square Root, Rational, and Exponential (not specific for base) This is great for students to fill out throughout the year or could be a great review at the end of the year when all functions are covered. Don't forget to leave feedback
10th - 12th
Algebra 2, Math, PreCalculus
Also included in: Complete (and growing) Algebra Notes and Foldables for INB
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
Introductory Unit for Pre-Calculus Review Worksheet
This 4 page worksheet covers all of the material in a standard intro unit for Pre-Calc: linear equations, graphing linear equations, function identification, domain and range, extrema of functions (max, min, increasing, decreasing, constant), piece-wise functions, transformations of functions, operations on functions, combinations of functions and inverse of functions.
9th - 12th
Algebra 2, PreCalculus
CCSS
HSA-CED.A.2
, HSF-IF.A.1
, HSF-IF.C.7a
+4
Also included in: Pre-Calculus Unit 1: Functions
Characteristics of Graphs | Mystery Code Activity
Characteristics of Graphs - Mystery Code Activity Students will practice identifying characteristics of graphs including domain, range, x- and y-intercepts, extrema (minimum, maximum, point of inflection), increasing and decreasing intervals, end behavior, points and types of discontinuity (jump, removable, and infinite) and shapes of basic parent functions with this “Mystery Code Activity”. Characteristics of graphs are described on the mystery code paper. Students choose the graph (there are
9th - 12th
Math, PreCalculus
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
Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions
Help your AP Precalculus students explore rates of change in polar functions in a hands-on, visual way! This introductory activity focuses on Topic 3.15: Increasing and Decreasing on Polar Functions, guiding students through table completion, graphing, and color-coded analysis to deepen understanding of function behavior. Students will: ✔ Complete a table of values for a polar function. ✔ Graph the function on the coordinate plane ✔ Plot the function on a polar grid ✔ Highlight intervals wit
10th - 12th
Algebra 2, 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
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
Calculus Summer Assignment
Self-executing lessons are ideal for sub-plans, as supplemental material for "flipped" classrooms, or for any teacher wanting to leverage their limited instructional time. The learning of basic notation and rules is accomplished via pattern recognition. This self-executing lesson will get precalculus students started learning calculus over the summer so that next year begins smoothly. It would be particularly useful for calculus teachers needing to accelerate the pacing of their curriculum. DA
10th - 12th
Calculus, PreCalculus
Key Features of Functions Task Cards (Basic Level)
Key Features of Functions Task Cards (Basic Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering ea
10th - 12th, Higher Education
Algebra 2, Calculus, PreCalculus
Key Features of Functions Task Cards (Expert Level)
Key Features of Functions Task Cards (Expert Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering e
11th - 12th, Adult Education, Higher Education
Calculus, 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
Derivative Product and Quotient Rules WORKSHEET | Digital and Print
Calculus students will strengthen their skills with this ready-to-go worksheet, where they find derivatives using the product rule and quotient rule. This comprehensive worksheet includes a variety of exercises that progressively increase in difficulty, allowing students to practice applying the product and quotient rules to various functions. The worksheet comes with an answer key for the convenience of the teacher, and for a digital and self-checking experience, a Google Forms version is a
11th - 12th, Higher Education
Calculus, Math, PreCalculus
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