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Math Mammoth Introduction to Functions

Math Mammoth Introduction to Functions book cover
61 pages
(includes answers)

Sample pages (PDF)
Contents
Rate of Change
Linear vs. Nonlinear Functions
Describing Functions 2


Prices & ordering

PDF download USD $4.00

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You will be purchasing the downloads from my authorized reseller Comecero, LLC.


Printed copy $9.00

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Math Mammoth Introduction to Functions is a worktext that covers various introductory topics from the theory of functions, following the Common Core Standards (CCS) for 8th grade (specifically, the standards 8.F.1, 8.F.2, 8.F.3, 8.F.4, and 8.F.5). These topics prepare students for studying functions in great detail in high school math, and even include preparatory ideas for calculus (rate of change).

The first lesson focuses on the basic definition of a function, as a relationship between two sets that assigns exactly one output for each input. It also briefly explains the range and domain of a function, even though those terms are not required in the CCS.

Next, we study the rate of change in the context of linear functions. Students calculate the rate of change from functions given as a table of values or from their graphs. They also encounter nonlinear functions and calculate the rate of change for those in specific intervals.

Then, students learn about the initial value of a function (its value when the input is zero), and learn that the equation y = mx + b defines a linear function. They write and plot equations of that form to model linear relationships. We also spend one lesson looking at linear versus nonlinear relationships.

The following major topic is describing functions. Students analyze a graph and tell whether a function is increasing, decreasing, or constant; linear or nonlinear. They sketch a graph matching a given verbal description, and interpret given graphs of nonlinear functions in a variety of the real-life contexts.

Lastly, students compare properties of two functions represented in different ways (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, distance as a function of time is given as an equation for one airplane, and as a graph for another, and students answer questions concerning the speed and distance of the two airplanes.

The answers are appended.

The PDF version of this book can be filled in on a computer, phone, or tablet, using the annotation tools found in many PDF apps. See more.


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How and where to order

You can buy Math Mammoth books at:

  • Here at MathMammoth.com website — simply use the "Add to cart" buttons you see on the product pages.
  • Rainbow Resource carries printed copies for the Light Blue series books, plus several CDs (Light Blue and Blue series).
  • Homeschool Buyers Club offers download versions of the Light Blue series, plus the Blue series bundle.
  • Homeschool Planet sells the digital versions of the main curriculum and lesson plans to go with them.
  • K5 Learning offers download versions of the Blue series.
  • TPT sells the Light Blue Series downloads, plus topical units.
  • Lulu sells printed copies for most of the Math Mammoth materials (various series).

By purchasing any of the books, 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.


Math Mammoth books are PDF files. I recommend you use Adobe Reader to view them, including if you use a Mac. You can try other PDF viewers, but they may at times either omit or mess up some of the images.
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