Percent Increase and Decrease Quiz - Page 2
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Programs & methods
student: HPC: CU 1B: 1.7 Day 2: Modeling with Functions
- Comparing Functions
- Maximizing a quantity
- Mixture Problems
- Percent increase/decrease problems
- Unit Conversions
10th - 12th
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
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
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
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
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
AP PreCalculus 90 Word Wall Bulletin Board Posters Anchor Charts
This AP® PreCalculus Vocabulary Word Wall or Anchor Charts will help your students grasp essential concepts and terminology with colorful visual topic posters. Use as a Word Wall or on a Bulletin Board. Let your classroom walls engage your students and help teach and reinforce important topics. Included are 80 posters with topics for AP PreCalculus with emphasis on visuals and not formulas. The Posters are arranged by unit and the resource also includes 4 Posters which list the topics as d
10th - 12th
PreCalculus
Calculus Notes Bundle: Applications and Techniques of Differentiation Unit
A bundle of calculus notes containing notes on L'Hospital's Rule, implicit differentiation, the first derivative (intervals of increasing/decreasing, critical points) and extrema (relative and absolute), the second derivative (inflection points and concavity) and relating derivatives (f, f', and f"), derivatives in context and applications of derivatives (with rectilinear motion), local linearization, and optimization, all with 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
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
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
Exponential Functions (Unit 2 AP Precalculus)
⭐⭐ This AP Precalculus lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Exponential Functions⭐⭐ ✅ Lesson 2.3 Exponential Functions is a one-day lesson with an emphasis on the College Board standards: 2.3.A Identify key characteristics of exponential functions. ✅ What is included in this resource?⭐ Guided Student Notes ⭐ Google Slides® ⭐ Homework/Practice assignment ⭐ Daily Lesson Quiz (1
10th - 12th, Higher Education
Math, PreCalculus
Describing Polynomial Functions (Graphs)
Allow students practice describing the various features of polynomial functions. describe end behaviordescribe the intervals where the function is increasing and decreasingdescribe the intervals where the function is above and below zero
10th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSA-APR.B.3
, HSF-IF.A.1
, HSF-IF.A.2
+2
Also included in: Polynomial Functions Resource Bundle (PrBL PBL Unit)
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
Trig Equations Practice
Set of 5 problems for solving trig equations. Students are to match the equation to its correct solution. Starts off easy and increases in difficulty. This product can be used a formative assessment, handout practice, or you can have students choose three of the five problems to complete. This way they are choosing their difficulty level. Answers included!
11th - 12th
Other (Math), PreCalculus
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
Laws of Logarithms & Equations Worksheet
Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on exponential & logarithmic functions. It assesses the students on their ability to evaluate logarithmic expressions, use laws of logarithms to expand and combine expressions, and model real life scenarios using logarithmic and exponential equations. This assessment includes a variety of different problems that
10th - 12th
Algebra 2, Calculus, PreCalculus
Also included in: Precalculus Unit 4 - Exponential & Logarithmic Equations
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