Make It Real Learning
Calculus I - real-life math workbook
46 pages
(10 activities)
Price: $4.99 PDF download
Free Sample (PDF):
High School Students: Working with Rates of Change
You will be purchasing the downloads from my authorized reseller Comecero, LLC.
Introduction
The Make It Real Learning Calculus I workbook focuses on real-world situations that may be effectively analyzed using derivatives and other rates of change. This book suits best high school or first-year college calculus courses.
From analyzing the growth of an infant to maximizing the volume of a package, learners get to use mathematics in meaningful ways. Each activity integrates real world information, companies, and issues (e.g. US Postal Service, AIDS, movie ticket prices, rates of change in then number of high school students), not just "realistic" data.
There are multiple ways to use the activities of the book in a teaching environment. The activities are an excellent tool for stimulating mathematical discussions in a small group setting. Due to the challenging nature of each activity, group members are motivated to brainstorm problem solving strategies together. The interesting real world contexts motivate them to want to solve the problems. The activities may also be used for individual projects and class-wide discussions.
As a ready-resource for teachers, the workbook also includes completely worked-out solutions for each activity. To make it easier for teachers to assess student work, the solutions are included on a duplicate copy of each activity.
The mathematical objectives of the activities fall within the standards of the National Council of Teachers of Mathematics.
Calculus I Activity List
| Activity Title | Mathematical Objectives |
|---|---|
|
Growing Money: Using Partial Derivatives |
Find and evaluate the first partial derivatives of a multivariable
function Interpret the practical meaning of partial derivatives |
|
High School Students: Working with Rates of Change |
Find and evaluate the derivative of a polynomial Use technology to determine relative extrema Estimate an inflection point from a graph Calculate and interpret the meaning of rates of change |
|
Infant Growth Rates: Using Derivatives |
Calculate the derivative of logarithmic and cubic functions Evaluate derivatives and interpret the meaning of the results Recognize the relationship between the slope of a graph and its derivative |
|
Living with AIDS: Working with Derivatives |
Interpret the practical meaning of the concavity of a graph Determine the sign of the first and second derivatives from a graph Find and evaluate the first and second derivatives of a quadratic function Estimate the derivative at a given value from a table |
|
Movie Ticket Prices: Using Calculus to Analyze Change |
Find, graph, and interpret the meaning of the derivative Shade the region representing the definite integral Calculate the area of a region represented by a definite integral Interpret the meaning of a definite integral Use an integral to find the average value of a function |
|
PreK - Grade 8 Students: Working with Rates of Change |
Find and evaluate the derivative of a cubic function Use the derivative to determine the slope of a function Estimate the coordinates of an inflection point from a graph Find the coordinates of an inflection point from an equation |
|
Shipping Packages: Optimizing Functions with Calculus |
Create a graphical representation of a verbal description Create a volume equation and calculate its derivative Determine the box dimensions that maximize volume |
|
Shipping Packages #2: Optimizing Functions with Calculus |
Create a graphical representation of a verbal description Create a volume equation and calculate its derivative Determine the box dimensions that minimize a volume function |
|
Shipping Packages #3: Optimizing Functions with Calculus |
Create a graphical representation of a verbal description Create a volume equation and calculate its derivative Determine the tube dimensions that maximize volume |
|
Wind Chill Temperature: Using Calculus with Multivariable Functions |
Evaluate a multivariable function at a given point Find and interpret the meaning of the first partial derivatives |
Free samples!
Download these free samples from Make It Real Learning series:
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Samples from Activity Library, Volume II
Sample of States by the Numbers series: North Dakota
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You will be purchasing the download from my authorized reseller Comecero, LLC.
By purchasing any of the Make It Real Learning workbooks, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.
In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.
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