## Module-Lessons

V. Expressions # Modules

Algebra1 – Getting Ready for Algebra

A1.1 – Defining Sets and Real Numbers

• Elements of a Set
• Subsets
• Disjoint of Two Sets
• Empty Set
• Union of Sets
• Natural Numbers, Whole Number, Integers
• Rational Numbers
• Irrational Numbers
• Number Line
• Conclusion

A1.2 – Simplifying Expressions with Integers

• Subtracting Integers
• Multiplying Integers
• Dividing Integers
• Conclusion

A1.3 – Simplifying Expressions with Rational Numbers

• Operations with Fractions
• Multiplying Fractions
• LCD
• Subtracting Fractions
• Dividing Fractions
• Subtracting Decimals
• Multiplying Decimals
• Dividing Decimals
• Conclusion

A1.4 – Simplifying Expressions with Exponents and Roots

• Exponential Expressions
• Zero Exponent
• Positive Bases
• Negative Bases to Even Powers
• Negative Bases to Odd Powers
• Square Roots and Cube Roots
• Conclusion

A1.5 – Applying the Order of Operations

• Order of Operations without Grouping Symbols or Exponents
• Order of Operation without Grouping Symbols
• Order of Operations Using All Steps
• Order of Operations with Two Levels of Nested Groups Symbols
• Conclusion

Algebra2 – Writing and Simplifying Algebraic Expressions

A2.1 – Using the Language of Algebra

• Variable
• Algebraic Expression
• Term
• Monomials
• Coefficients
• Polynomials
• Special Polynomial
• Degree of a Monomial
• Degree of a Polynomial
• Conclusion

A2.2 – Translating Word Phrases into Algebraic Expressions

• Expressions with One Operation
• Exponents
• More than One Operation
• Conclusion

A2.3 – Identifying Algebraic Properties

• Commutative Property of Multiplication
• Associative Property of Multiplication
• Zero Property of Multiplication
• Identity Property of Multiplication
• Multiplicative Inverse
• Distributive Property
• Conclusion

A2.4 – Combining Like Terms

• Term and Coefficient