Foundations for Algebra
4.0 (3 ratings)
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Foundations for Algebra

Learn the basics needed to be successful for Algebra One and beyond
4.0 (3 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
124 students enrolled
Created by Brian McLogan
Published 1/2013
English
Price: Free
Includes:
  • Full lifetime access
  • Access on mobile and TV
What Will I Learn?
  • Understand the basic Properties of Real Numbers
  • Understand how to Classify and Order Real Numbers
  • Understand how to apply Distributive Property
  • Understand how to translate Algebraic Expressions
View Curriculum
Requirements
  • Understanding of real numbers
Description

In this math course I will set up everything you will need to know to be prepared for algebra one. We will not only work through what you need to know but I will also show you how to solve certain problems so that you can have confidence when solving the problems on your own. This course should be taken before taking Algebra One to ensure that you have the correct and solid background needed to thrive in Algebra One.

Who is the target audience?
  • Pre-Algebra Students
  • Algebra Students
  • Remedial Students
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Curriculum For This Course
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Properties of Real Numbers
8 Lectures 00:00
What are equivalent expressions?
ImportContent

What is the associative property of addition and multiplication
ImportContent

What is the Commutative Property of Multiplication
ImportContent

What is the Commutative Property of Addition
ImportContent

What is the zero property of multiplication

What is the multiplication property of -1
ImportContent

What is the Identity Property of Addition
ImportContent

What is the Identity Property of Multiplication
ImportContent

Why do we need to know this?
ImportContent

Review: I still don't get it

Why are the associative and communative properties useful

How do the rules for finding the sign of a product compare to the rules of the quotient
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Classifying Real Numbers
17 Lectures 00:00
What is the definition of a square root?
ImportContent

What is a radical?
ImportContent

What is a radicand?
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What is a perfect Square?
ImportContent

Simplify perfect square roots
ImportContent

Approximating square roots
ImportContent

Evaluating square roots of rational numbers
ImportContent

Why: do I need to know this?

Is every number under a radical sign an irrational number?

What is the difference between finding the square root of a perfect square and the square root of a non perfect square

What is the difference between a perfect square and a number that is not one?

What are Whole Numbers
ImportContent

What are Irrational Numbers
ImportContent

What are Rational Numbers
ImportContent

What are Integers
ImportContent

What are Natural Numbers
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Classifying mulitple real numbers
ImportContent

Why do we have to know this?
ImportContent

What is an inequality

Graph and order from least to greatest ex1
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Graph and order from least to greatest ex2
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Graph and order from least to greatest ex3
ImportContent
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Operations With Real Numbers
16 Lectures 00:00
What are multiplicative inverses?
ImportContent

What are additive inverses?
ImportContent

What is the reciprocal
ImportContent

Adding real numbers ex 1
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Adding real numbers ex 2
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Adding real numbers ex 3
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Adding real numbers ex 4
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Adding real numbers ex 5

Adding real numbers ex 6

Subtracting real numbers ex 1
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Subtracting real numbers ex 2
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Subtracting real numbers ex 3
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Subtracting real numbers ex 4
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Subtracting real numbers ex 5

Subtracting real numbers ex 6

Multiplying real numbers ex 1
ImportContent

Multiplying real numbers ex 2
ImportContent

Multiplying real numbers ex 3
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Dividing real numbers ex 1
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Dividing real numbers ex 2
ImportContent

Dividing real numbers ex 3

I still don't get it
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Distributive Property
21 Lectures 00:00
What is the distributive property?
ImportContent

Simplifying expressions using distributive property ex 1
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Simplifying expressions using distributive property ex 2
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Simplifying expressions using distributive property ex 3
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Simplifying expressions using distributive property ex 4
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Simplifying expressions using distributive property ex 5
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Simplifying expressions using distributive property ex 6
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Rewriting fraction expressions using distributive property ex 1
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Rewriting fraction expressions using distributive property ex 2
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Distributive property with a negative one ex 1
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Distributive property with a negative one ex 2
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Distributive property with a negative one ex 3
ImportContent

Distributive property with a negative one ex 4
ImportContent

Combining like terms with distributive property ex 1
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Combining like terms with distributive property ex 2
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Combining like terms with distributive property ex 3
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Combining like terms with distributive property ex 4
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Combining like terms with distributive property ex 5
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Combining like terms with distributive property ex 6
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Combining like terms with distributive property ex 7
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Combining like terms with distributive property ex 8
ImportContent

I still don't get it
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Translating Expressions
17 Lectures 00:00
What is an algebraic expression?
ImportContent

What is a term?
ImportContent

What is a variable?
ImportContent

Translating expressions with addition ex 1
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Translating expressions with addition ex 2
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Translating expressions with addition ex 3
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Translating expressions with addition ex 4
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Translating expressions with addition ex 5
ImportContent

Translating expressions with division ex 1
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Translating expressions with division ex 2
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Translating expressions with subtraction ex 1
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Translating expressions with subtraction ex 2
ImportContent

Translating expressions with subtraction ex 3
ImportContent

Translating with expressions with multiplication ex 1
ImportContent

Translating with expressions with multiplication ex 2
ImportContent

Translating with expressions with multiplication ex 3
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Translating aLgebraic expressions to sentences
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I still don't get it
About the Instructor
Brian McLogan
4.8 Average rating
36 Reviews
908 Students
8 Courses
Current Active High School Math Teacher

I am a high school that is on a mission to improve math education. I was that student that sat in the back of class frustrated with the boredom of class and the lack of understanding. I made the decision to become a math teacher to make a difference in others lives. I knew that with the struggles I had I could relate well to students that struggled with math. With a weak math background I set out to get a degree in mathematics. In was a difficult journey and I worked very hard not just to pass my math classes but to have an understanding of what I was doing. I learned a lot about myself, mathematics and what it takes to be successful in class through my time at college. I want to pass along my experience to you the student so that may have your own success with mathematics.