Unit 5: Algebraic Expressions

After this unit, students will be able to:

• Identify and describe the parts of an algebraic expression, such as coefficients, variables, constants, and exponents.

• Combine like terms in algebraic expressions containing only positive numbers.

• Apply the distributive property to simplify algebraic expressions with only positive numbers.

• Evaluate algebraic expressions using order of operations and substitution.

• Write algebraic expressions based on real-life scenarios and key vocabulary terms.

• Define prime numbers and composite numbers and apply prime factorization using factor trees.

• Represent prime factorization using exponents (e.g., 125 = 5^3).

• Explain the real-world applications of prime factorization, such as cryptography and problem-solving.

Before this unit, students should be familiar with:

• Understanding basic operations (addition, subtraction, multiplication, division)

• Knowledge of the order of operations

• Understanding of variables and constants

• Ability to simplify numerical expressions

• Familiarity with basic algebraic vocabulary such as term, coefficient, variable, constant, and expression.

• Pencils

• Colored pencils or markers

• Algebraic Expressions Guided Notes Unit Bundle

• Algebraic Expression

• Like Terms

• Distributive Property

• Evaluating

• Order of Operations

• Substitution

• Numerical Expression

• Prime Factorization