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Lesson Menu Five-Minute Check (over Lesson 1–2) CCSS Then/Now New Vocabulary Example 1:Verbal to Algebraic Expression Example 2:Algebraic to Verbal Sentence Key Concept: Properties of Equality Example 3:Identify Properties of Equality Key Concept: Addition and Subtraction / Multiplication and Division Properties of Equality Example 4:Solve One-Step Equations Example 5:Solve a Multi-Step Equation Example 6:Solve for a Variable Example 7:Standardized Test Example
Over Lesson 1–2 5-Minute Check 1 rationals (Q), reals (R) Reals (R), whole (W), natural (N), integers (Z), rational (I) Name the property illustrated by a + (7 + c) = (a + 7) + c. Simplify (2c)(3d) + c + 5cd + 3c 2. Associative Property of Addition 3c cd + c
CCSS Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Mathematical Practices 3 Construct viable arguments and critique the reasoning of others. 8 Look for and express regularity in repeated reasoning.
Then/Now You used properties of real numbers to evaluate expressions. Translate verbal expressions into algebraic expressions and equations, and vice versa. Solve equations using the properties of equality.
Example 1 Verbal to Algebraic Expression 1A. Write an algebraic expression to represent each verbal expression. 7 less than a number. The cube of a number increased by 4 times the same number Three times the difference of a number and 8 the square of a number decreased by the product of 5 and the number.
Example 2 Algebraic to Verbal Sentence A.Write a verbal sentence to represent each equation. 6 = –5 + x..
Concept Name each property of equality. a – 2.03 = a – 2.03 If 9 = x, then x = 9. If x + 4 = 3, then 3 = x + 4. If 3 = x and x = y, then 3 = y.
Concept
Example 4 Solve One-Step Equations A. Solve m – 5.48 = Check your solution.
Example 4 Solve One-Step Equations
Example 5 Solve a Multi-Step Equation Solve 53 = 3(y – 2) – 2(3y – 1).
Example 5 Solve. 25 = 3(2x + 2) – 5(2x + 1)
Example 6 Solve for a Variable Surface area formula
Hwk: P , all, BONUS: Solve for y 1. You must show ALL of your work to receive credit for the Bonus!