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6 th Grade Mathematics Unit 3: : Expressions Excerpts from Georgia Department of Education Webinar August 28, 2012 [email protected] August 2012 Warm-Up Which of the following expressions are equivalent? Why? If an expression has no match, write two equivalent expressions to match it. a. 2(x + 4) b. 8 + 2x c. 2x + 4 d. 3(x + 4) – 4 – x e. (x + 4) + (4 + x) Answers: a. 2(x + 4) = 2x + 8 b. 8 + 2x = 2x + 8 c. 2x + 4 = 2x + 4 d. 3(x + 4) – 4 – x = 3x + 12 – 4 – x = 2x + 8 e. (x + 4) + (4 + x) = (x + x) + (4 + 4) = 2x + 8 [email protected] August 2012 What’s the main idea of Unit 3? • Develop a deep understanding with reading, writing, and evaluating expressions in which letters stand for numbers and with expressions involving whole number exponents. • Develop a deep understanding with applying the properties of operations to generate and identify equivalent expressions. [email protected] August 2012 Concepts & Skills to Maintain from Previous Grades Use parentheses, brackets, or braces in numerical expressions and evaluate expressions with these symbols Write and interpret numerical expressions Generate two numerical patterns using two given rules Interpret a fraction as division Perform operations with whole numbers, fractions, and decimals Website to help with the above: www.aaamath.com [email protected] August 2012 Enduring Understandings from this Unit Variables can be used as unique unknown values or as quantities that vary. Exponential notation is a way to express repeated products of the same number. Algebraic expressions may be used to represent and generalize mathematical problems and real life situations Properties of numbers can be used to simplify and evaluate expressions. Algebraic properties can be used to create equivalent expressions Two equivalent expressions form an equation. [email protected] August 2012 Examples & Explanations 1. [email protected] August 2012 2. Sadie = 2(l + w) = 2(30 + 75) = 210 Eric = 2l + 2w = 2(30) + 2(75) = 210 [email protected] August 2012 The student edition for Unit 3 can be found at https://www.georgiastandards.org/C ommon-Core/Pages/Math-6-8.aspx On the left side, please look under mathematics, 6 – 8. Then, the right side has a pull-down menu to access the units. Additional parent guides will be posted to the parent resource page on http://www.hallco.org/boe/index.ph p (right had menu) as they become available. [email protected] August 2012