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In this lesson, students will learn how to evaluate algebraic expressions and the concept of exponents. They will practice substituting values for variables, performing operations, and simplifying expressions. Students will answer questions in their journals, such as how to evaluate expressions when given specific values and understand repeated multiplication using powers. The objective is for students to become proficient in evaluating algebraic expressions and utilizing exponents. Guided practice and homework from the textbook will reinforce these concepts.
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Do Now 9/7/10 • Copy HW in your planner. • Text p. 5-7, #4-52 multiples of 4 • In your journal, answer the following question. How do you evaluate algebraic expressions and powers? Then solve the example, when n = 4.
Objective • SWBAT evaluate algebraic expressions and use exponents
Section 1.1 “Evaluate Expressions” VARIABLE a letter used to represent one or more numbers. y a e t k s m
13n= 133 To EVALUATE AN ALGEBRAIC EXPRESSION- substitute a number for each variable, perform the operations and simplify, if necessary. Substitute 3 for n. = 39 Multiply.
62 9 a. 3 9 n Evaluate the expression when n =3. = Substitute 3 for n. = 3 Divide. b.n–1= 3–1 Substitute 3 for n. = 2 Subtract. Evaluate the expression when y =2. c.6y= Substitute 2 for y. = 12 Multiply. d.y+4= 2+4 Substitute 2 for y.. = 6 Add.
POWER an expression that represents repeated multiplication. 4 Product 2 EXPONENT Words two to the fourth power BASE
3. d4 whend = 1 1 1 1 1 4 ( ) 1 3. d4 = 3 3 3 3 3 3 =8 8 8 = 1 = 81 GUIDED PRACTICE Evaluate the expression. 1. x3 whenx = 8 2. k3 whenk = 2.5 1. x3 = 83 2. k3 =2.53 = (2.5)(2.5)(2.5) = 15.625 = 512
Homework • Text p. 5-7, #4-52 multiples of 4