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Learn to translate between words & algebra, evaluate expressions, and practice key concepts. Build skills to excel in math. Develop language skills to read, write, and converse about algebra. Understand the basics of variables, constants, and operations.
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Homework Corrections A#12 / Ch. 1 Are You Ready? Homework WS 1. a) 9.08 b) 0.14 c) 29.61 d) 2.18 2. a) 0.42 b) 0.25 c) 2.25 d) 0.3648 3. a) 2.05 b) 30.9 4. a) b) 4 c) d) 6 5. a) b) c)
Warm Up • 18 ÷ 3 + 2 4 2. -10(3 + 4) • 4 + (-2) 4. 6 – (-1) • -8 – 3 6. -12 + 7
Page 1 • Lesson Objectives:I will be able to … • Translate between words and algebra • Evaluate algebraic expressions • Language Objectives: I will be able to … • Read, write, and listen about vocabulary, key • concepts, and examples • Listen to words and write related algebraic • expressions
Page 1 A variable is a letter or a symbol used to represent a value that can change. A constant is a value that does not change. A numerical expressioncontains only constants and operations. An algebraic expression may contain variables, constants, and operations.
You will need to translate between algebraic expressions and words to be successful in math. Page 1 Plus, sum, increased by Minus, difference, less than, decreased by Divided by, quotient Times, product, equal groups of
Writing Math These expressions all mean “2 times y”: 2y 2(y) 2•y (2)(y) 2 x y (2)y
Example 1: Translating from Algebra to Words Page 2 Give two ways to write each algebra expression in words. A. 9 + r C. 7m the sum of 9 and r the product of m and 7 9 increased by r m times 7 B. q – 3 D. j 6 the quotient of j and 6 the difference of q and 3 j divided by 6 3 less than q
Your Turn 1 Page 2 Give two ways to write each algebra expression in words. B. A. 4 - n 4 decreased by n the quotient of t and 5 n less than 4 t divided by 5
To translate words into algebraic expressions, look for words that indicate the action that is taking place. Page 1 Put together, combine Find how much more or less Separate into equal groups Put together equal groups
Example 2: Translating from Words to Algebra Page 2 A. John types 62 words per minute. Write an expression for the number of words he types in m minutes. m represents the number of minutes that John types. Think: m groups of 62 words 62 · mor 62m B. Roberto is 4 years older than Emily, who is y years old. Write an expression for Roberto’s age. y represents Emily’s age. y + 4 Think: “older than” means “greater than.”
Your Turn 2 Page 2 Lou drives at 65 mi/h. Write an expression for the number of miles that Lou drives in t hours. t represents the number of hours that Lou drives. 65t Think: number of hours times rate per hour.
Example 3: Evaluating Algebraic Expression Page 3 Evaluate each expression for a = 4, b =7, and c = 2. A. b – c b – c = 7 – 2 Substitute 7 for b and 2 for c. Simplify. = 5 B. ac Substitute 4 for a and 2 for c. ac = 4 ·2 = 8 Simplify.
Your Turn 3 Page 2 Evaluate each expression for m = 3 and p = 9. p ÷ m p ÷ m = 9 ÷ 3 Substitute 9 for p and 3 for m. = 3 Simplify.
Cornell Notes • Fill in the Essential Question: • “How can I translate between words and • algebra and evaluate algebraic expressions?” • Write two or three main ideas from this lesson • in the Notes section. • Write a Question for each main idea. • (The answer to the question should be the • main idea.) • Summarize the answers to your questions in • the Summary section. Page 4
Matching Game • I will call names and each student gets the opportunity to pick two blue cards and see if they are a match.
Homework • Assignment #13 • 1-1 Homework Worksheet
