### R.1 Fractions, Introduction to Exponents and Roots, and Rules of Order

1: Simplifying, Multiplying, and Dividing Fractions

This video covers:

*The steps of how to simplify/reduce single fractions

*Steps to multiply and divide multiple fractions

*Different ways that multiplication can be notated (written)

Vocabulary words: Numerator, Denominator, Improper Fractions, Reciprocals

Examples:

2: Adding and Subtracting Fractions

This video covers:

*Steps of how to add and subtract fractions using the least common denominator

*Introducing the analogy of jealous kids in the candy store

Vocabulary words: Prime, Prime Factorization, Least Common Denominator (LCD)

Examples:

3: Complex Fractions

This video covers:

*The definition of complex fractions

*How to convert whole numbers into fractions.

*Working through two methods to simplify/reduce complex methods.

*Method 1's goal: one fraction divided by one fraction.

*Method 2, the "Magic Trick" method, converts all fractions into the same least common denominators (LCD) to cancel out all of the denominators.

Vocabulary words: Complex Fractions

Examples: Simplifying the complex fraction using both methods.

4: Introduction to Exponents and Roots

This video covers:

*The basics of how to simplify exponents and roots.

*Working with exponents involving whole numbers, fractions, and negatives.

*Simplifying square and cube roots involving whole numbers, fractions, and negatives.

*Why you cannot take an even root of a negative number.

Vocabulary words: Base, Power, Exponent, Root, Radicals

Examples:

5: Rules of Order - Part 1

This video covers:

*How to simplify math problems with multiple operations/steps.

*Spelling out the acronym PEMDAS, which summarizes the correct order.

*Common mistakes seen in examples.

*The correct format to work all math problems: copy every single thing from step to step, working the problems down (rather than across).

Vocabulary words: Nested Parenthesis,

Examples:

6: Rules of Order - Part 2

This video covers:

*Finishing all the examples that were introduced in part 1.

*Another common mistake seen in examples.

Examples:

#### Graphing Calculator Tutorials:

(1) Introduction to the TI-83 and TI-84 graphing calculator

(2) Simplifying and converting fractions

(3) Simplifying Exponents/Powers

(4) Simplifying Radicals/Roots

(5) Multiple Operations