Number Line
A visualization tool used to analyze and compare the elements of the real number set (ℜ). The number line is a graph of all the numbers from smallest to largest.
Addition
The operation of addition represents the action of merging, or combining multiple values (addends) into a sum.
Subtraction
The opposite operation of addition. In subtraction we decrease a value by a given amount.
Multiplication
Represents the repeated operation of addition. Instead of adding the same value repeatedly, we can instead multiply it by the number of times it was added.
Division
The opposite operation of multiplication, in division we break a value down into 2 factors. Using one factor, we divide the value by it to yield the other (the quotient).
Absolute Values
An operation which finds the magnitude of a given value (b). The magnitude is simply the positive quantity of the value (ie drop the negative).
Powers
Represents the repeated operation of multiplication by the same value. The power is the base value (b) multiplied by itself n number of times (the exponent).
Roots
The opposite of the power operation. Instead we find the root (r), which when multiplied by itself n number of times gives us the base (b).
Order of Operations
The order in which the operations are performed.
Writing Mathematics
How to write various basic mathematical statements.
References and Resources
Basic Math and Pre-Algebra
- Jerry Bobrow PhD (2001)
Publisher: Cliff Notes
Call Number: QA39.3 .B63
ISBN-10: 0764563742
Cliff Notes: Grade 6 Common Core Math Review
- Sarah McCune PhD (2015)
Publisher: Cliff Notes
Call Number: QA135.6 .M392
ISBN-13: 9780544373327
Math for the ACT (2nd Edition)
- Bob Miller (2013)
Publisher: Research and Education Association
Call Number: QA43 .M4935
ISBN-13: 9780738610962
Cracking the ACT (2018 Edition)
Publisher: The Princeton Review (2017)
Call Number: LB2353.48 .C73 ; Q378.16 C
ISBN-13: 9781524710743
GRE Prep Plus 2023
Publisher: Kaplan (2022)
Call Number: LB2367.4 .G7383
ISBN-13: 9781506282039
Algebra 2: The Easy Way (2nd Edition)
- Meg Clemens, Glenn Clemens (2019)
Publisher: Barron's
ISBN-13: 9781438012148
College Algebra (3rd Edition)
- Murray R. Spiegel PhD, Robert E. Moyer PhD (2006)
Publisher: Schaum's
Call Number: QA157 .5725
ISBN-13: 9780071635394
Mathematical Handbook for Scientists and Engineers
- Granino Korn, Theresa Korn (1968)
Publisher: Dover
Call Number: QA40 .K598
ISBN-10: 0486411478
Precalculus (4th Edition)
- Robert Blitzer (2010)
Publisher: Pearson
Call Number: QA154.3 .B586
ISBN-13: 9780321559845
College Algebra and Trigonometry (7th Edition)
- Margaret L. Lial, John Hornsby Jr., David I. Schneider (1997)
Publisher: Addison-Wesley
ISBN-10: 0673980464
The Words of Mathematics
- Steven Schwartzman (1994)
Publisher: Mathematical Association of America
Call Number: QA5 .S375
ISBN-10: 0883855119
Paul's Online Notes
- Paul Dawkins (2003-2022)
Publisher: Lamar University
https://tutorial.math.lamar.edu/
ChiliMath
https://www.chilimath.com/
LibreTexts Mathematics: Bookshelf
https://math.libretexts.org/Bookshelves
Elements of Algebra
- Leonard Euler
Publisher: Wayback Machine - University of Birmingham Mathematics
https://web.archive.org/web/20110611025755/http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ElementsAlgebra.html#tth_sEc1.2
Encyclopedia of Mathematics
https://encyclopediaofmath.org/wiki/Main_Page
Girls' Angle Bulletin
http://www.girlsangle.org/page/bulletin.php