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Real Numbers

Learn to perform operations with integers (positive and negative numbers).
5.0 (1 rating)
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19 students enrolled
Created by Joe Huston
Last updated 11/2013
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  • 2 hours on-demand video
  • 2 Articles
  • 1 Supplemental Resource
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What Will I Learn?
Differentiate between the different sets of real numbers
Use a number line to identify the value of real numbers
Understand the concepts of absolute value, exponents, and square roots
Know the properties of real numbers
Apply the order of operations (PEMDAS) when simplifying experessions
Evaluate Algebraic Expressions with replacement values
Perform operations (add, subtract, multiply, and divide) with positive and negative numbers (integers)
View Curriculum
  • A scientific calculator would be helpful, but not required.

This course covers algebraic topics including integers and real numbers, number lines, the order of operations, square roots, absolute value, and inequalities. The course curriculum aligns to content that is common to most high school algebra 1 courses as well as college level developmental mathematics. Content is taught through interactive video lectures that include guided practice problems and the associated live action solutions. The curriculum is organized into 2 chapters (sections), containing a total of 19 video lectures that are approximately 10 minutes in length each. The course culminates with end of chapter assessments to check for skills mastery. Answer Keys are included for all assessments. The instructor for this course is a certified math instructor with over 10 years of middle school, high school, and college level teaching experience.

This course is one part of our comprehensive Beginning Algebra course.

Who is the target audience?
  • Middle school, high school, or early college level students
  • Students preparing for a college placement test
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Curriculum For This Course
Expand All 22 Lectures Collapse All 22 Lectures 02:08:50
Welcome to Your Course!
1 Lecture 01:34
Welcome to Your Course!
An Introduction to Real Numbers
11 Lectures 01:23:21

The Real Number Line

An Introduction to Inequalities

Absolute Value

An Introduction to Exponents

An Introduction to Square Roots

Properties of Real Numbers

An Introduction to the Order of Operations

Order of Operations 2

Order of Operations 3

Evaluating Algebraic Expressions
Integers and Integer Arithmetics
8 Lectures 37:19
Adding Integers

Adding Integers (Multistep)

Subtraction of Integers

Subtraction of Integers (Multistep)

Multiplication of Integers

Multiplication of Integers (Multistep)

Division of Integers

Order of Operations (Advanced)
Skills Assessment
2 Lectures 01:19
Skills Assessment: Real Numbers
5 pages

Congratulations on Completing Your Course!
About the Instructor
4.7 Average rating
70 Reviews
880 Students
6 Courses
College Instructional Leader: Mathematics and Sciences

I have been using projects, games, cooperative learning, and interactive activities to teach mathematics at the middle school, high school, and college levels for the last 8 years.

I run a highly interactive classroom that promotes student participation and critical thinking. In a typical class period (my class periods are 100 minutes long), I generally limit my speaking time to two-20 minute sessions. These sessions are broken up by class projects, assignments, and explorative activities that engage the students with the material (often in small group settings).

-State of Florida Star teacher award

-2 x teacher of the month (HS)

-Rookie Teacher of the year (HS)

-High School Student Learning Gains 83%-89% each year

-Foundation Grant 2008, 2009, 2011, 2012

-Lockheed Martin Academy Grant 2006-2008

Florida International University (BBA Finance)

University of Central Florida (MA Math Education)

The Florida State University (Institutional Research Graduate Certificate)

Member of Florida Developmental Education Association

State of Florida Teacher Certification 2006-current (exp 2017)

NCTM Member 2006-2008

Intervention Services of Central Florida 2006 (Mentoring at-risk youth)

Student Achievement Initiative Mentor (2000-2002) Mentoring secondary students at-risk for dropping out of school

Project Speak (Suicide Prevention Program) 2010

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