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Simplifying Algebraic Expressions and Understanding Functions

In this lesson, we explore the foundational concepts of algebraic expressions and functions. Students will learn how to simplify expressions using the order of operations (PEMDAS) and recognize like terms. We will utilize functional notation and evaluate functions at specific points in their domain. Real-world scenarios will be leveraged to represent information algebraically. Key examples include substituting values into expressions and careful attention to signs during calculations. The lesson concludes with a Glue Factory Worksheet to practice these key concepts.

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Simplifying Algebraic Expressions and Understanding Functions

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  1. 1.4 Simplifying Algebra Expressions 9.2.1.1 Understand the definition of a function. Use functional notation and evaluate a function at a given point in its domain.

  2. Guiding Question: How can you represent everyday information into algebraic form? • Lesson Objective: Simplify and Evaluate Algebraic Expressions. • Key Terms: Order of Operations, Like terms, simplify

  3. Guiding Question: How can you represent everyday information into algebraic form? • Order of Operations (PEMDAS) • Parentheses • Exponents • Multiply/Divide (from left to rt.) • Add/ Subtract (from left to rt.)

  4. Guiding Question: How can you represent everyday information into algebraic form? • Like Terms – 2 terms are alike when they have the same variables (letters) raised to the same exponents. • Ex. 7x2y3 + 8x2y3 • Ex. 7x3y2 + 8x2y3

  5. 1. Y2 – 2xy2 – x for x = 2 and y = 3 • 2. (2g – 1)2 – 2g + g2 for g =3 • 3. 4t – 3s2 + s3 for s = -3 and t = -2 • 4. 3a2b - ab3 + 5 for a = 5, b=2 Guiding Question: How can you represent everyday information into algebraic form? BE CAREFUL WITH THE SIGNS WHEN SUBSTITUTING NUMBERS IN FOR VARIABLES.

  6. Guiding Question: How can you represent everyday information into algebraic form? • Assignment: Glue Factory Worksheet

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