Percent Increase and Decrease Quiz
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Calculus: Extrema and Inflection - Matching Activity
In this pair / small group activity, students apply what they know about extrema and inflection. Students are given a description of four functions' increasing / decreasing behavior and must determine which descriptions* of each function's first and second derivatives must be true.
* Example descriptions on the "answer cards":
f ’’ (x) is negative on (-2, 7)
f ’ (-2) = 0 and f ’’ (-2) < 0
f has a relative min at x = 7
f ’ (x) changes from neg to pos at x = 7
The file includes instruct
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
Pi Day Trivia Activity: Graph Analysis Using 1st Derivative (editable)
Students will use the 1st derivative to answer 20 graph analysis questions in each section . The correct graph analysis answers will lead to the correct answers to trivia questions related to pi. Sections include: finding critical numbersfinding intervals of increase and/or decreasefinding relative extremafinding absolute extrema
11th - 12th
Calculus
Calculus - Derivatives - Power Rule Stations
This is a set of 11 stations for practicing the Power Rule in calculus. It is assumed that students know the properties of derivatives (addition rule, subtraction rule, coefficient rule) but no other differentiation techniques are needed (NO PRODUCT RULE, NO QUOTIENT RULE, NO CHAIN RULE). Variations include rewriting radicals as powers, rewriting with negative exponents, using derivatives to find equations of tangent lines, using tables to evaluate derivatives, as well as application problems i
11th - 12th
Calculus
Limits and Piecewise Functions
This worksheet asks the student to graph a piecewise function in four pieces. The function includes linear and quadratic equations and has discontinuity.
The students are then asked to find five different limits including a limit from the right and the limit as x approaches a value not shown on the graph.
This document is great for group work, a quiz, or going through an example with the class.
11th - 12th, Higher Education
Calculus, Math
Rational Functions
Operations (add, subtract, multiply and divide) rational expressions and functions. Solving rational equations. Word problem involving rational functions. This packet includes two sets of the quiz. I pair students in the class. The questions are not same but similar. So they can coach the other student but cannot copy from the other person. Great co-operative learning activity. It is great to hear how students explain the problem to their partner. It is also to catch where they are struggling an
9th - 12th
Algebra 2, Calculus, PreCalculus
Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE
This is a brief, editable quiz for a Pre-Calculus Class and covers Real Numbers, Number Relations, Functions, Mathematical Patterns, and Arithmetic Sequences. Answer Key Included.
10th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
Constructing a Unit Circle on Geometer's Sketchpad
Guided instructions to create an animated unit circle on Geometer's Sketchpad. Students will create the unit circle and the reference triangle. They will animate a point on the circle to see what happens as the arc length increases.
Can be used to create trigonometric functions on GSP.
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
Precalculus Final Exam (40 Questions)
Precalculus Final Exam 40 questions Multiple Choice Questions -Open Ended Questions Topics Covered: The formal rules of algebra Functions Graphs Polynomial functions The roots, or zeros, of a polynomial The slope of a straight line Linear functions: The equation of a straight line Synthetic division Roots of polynomials of degree greater than 2 Inverse functions Logarithms Logarithmic and exponential functions Multiplication of sums My Quizzes: 4th Grade Word Problems Quiz (10 Q)Equations and
8th - 12th, Adult Education, Higher Education
Calculus, Math
Discovering the Product Rule by Exploring a Rectangle's Area (Calculus Activity)
I designed this activity as an opportunity for a calculus student to build an intuitive understanding of why the product rule works. While completing this activity, students develop their intuition by exploring a familiar topic (the area of a rectangle). During this activity, students are led to make the following observations: 1. When the length of a rectangle increases, and the width stays the same, the increase in area equals the increase in length times the width. 2. When the width of a rec
10th - 12th, Higher Education
Calculus, Math
Also included in: Discovering Differentiation Rules Activity Bundle
Calculus - Limits Card Sort Activity
A pairs / small group activity for students to practice what they know about limits.
Each group gets a formula for a piecewise-defined function and 18 cards. They must determine which six cards are true for their function. As an extension, groups who finish can be assigned a set of six of the remaining cards and create a function that has those properties.
The file contains detailed instructions as well as an answer key. Each card has a letter written on it, which allows teachers to quickly
10th - 12th
Calculus, Math, PreCalculus
Also included in: Calculus AB Resources (discounted bundle)
Calculus Interactive Notebook 3: Curve Sketching Aids
This table of contents covers the properties in my 3rd Calculus chapter on Curve Sketching which I give the students on the first day of the unit. There are actually two lists, a Table of Contents with my foldables and a Table of Contents with all the properties I cover in this chapter. I uploaded the table of contents in WORD so you can edit it to fit your needs.
My "Interactive Notebook" which I call a Little Black Book (because it is a black marbled composition book) is predominantly a conc
12th
Calculus
Also included in: Calculus Interactive Notebook Bundle: AB
Planet Exploration Series - Mercury: Derivatives of Exponentials (Editable)
Students will find the derivative for 15 exponential functions. The correct derivatives will reveal answers to questions about the planet Mercury. Problem Types: Exponential functions base eExponential functions other bases Product ruleQuotient ruleThe focus is derivatives of exponentials. The cross-curricular components are science (and to a lesser extent) literacy.
12th
Calculus
Chain Rule Spring 2013 (Editable)
I wrote this worksheet for my IB/Precalculus students so they could see how to apply the chain rule to determine the derivative of a composition of functions. The questions are worded in triples: once to find the derivative of the first function, once for the derivative for the second function, and then for the composition of functions.
I use this activity within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review pro
10th - 12th
Calculus, Math, PreCalculus
Differential Equations Word Scramble for a Calculus Course
Word scramble covering the vocabulary that will be introduced when discussing Differential Equations with students in a Calculus Course. There are 21 words total. The word bank can be removed to make the assignment more challenging.
9th - 12th
Calculus, Math
Also included in: Calculus Word Scramble Bundle for Distance Learning
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