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Traffic Light L22. R22 9-24-13. Learning Goal: I will… What I already know about translating words into mathematical expressions... PROOF OF LEARNING: guided practice Reflection. 7.EE.1, 7.EE.2 Translate Words into Math
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Traffic Light L22 R22 9-24-13 Learning Goal: I will… What I already know about translating words into mathematical expressions... PROOF OF LEARNING: guided practice Reflection 7.EE.1, 7.EE.2 Translate Words into Math Lesson Objective: Students will be able to translate words into mathematical expressions.
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R22 • add 3 to a number • a number plus 3 + • the sum of a number and 3 n + 3 • 3 more than a number • a number increased by 3 • subtract 12 from a number • a number minus 12 • the difference of a number and 12 - x – 12 • 12 less than a number • a number decreased by 12 • take away 12 from a number • a number less than 12
Translate Words into Math a 6 or ÷ 6 a Course 2 R22 •2 times a number • 2 multiplied by a number 2m or 2 · m + • the product of 2 and a number • 6 divided into a number ÷ • a number divided by 6 • the quotient of a number and 6
2-8 Translate Words into Math Course 2 When solving real-world problems, you may need to determine the action to know which operation to use. Put parts together Add Multiply Put equal parts together Subtract Find how much more Separate into equal parts Divide
PRE-ALGEBRA LESSON 1-1 Identify each expression as a numerical expression or a variable expression. For a variable expression, name the variable. a. 7 3 numerical expression Variable expression; t is the variable. b. 4t
Write a variable expression for each word phrase. 1. the total of h and 56 2. three less than d 3.p decreased by three 4.a divided by 7 h + 56 d – 3 p – 3 a ÷ 7 1-1
PRE-ALGEBRA LESSON 1-1 Words 29¢ times number of pens Let p = number of pens. p 29 Expression • Write a variable expression for the cost of p pens priced at 29¢ each. The variable expression 29 • p, or 29p, describes the cost of p pens.
PRE-ALGEBRA LESSON 1-3 x 36 x 36 180 36 =Evaluate for x = 180. The Omelet Café buys cartons of 36 eggs. a. Write a variable expression for the number of cartons the Café should buy for x eggs. b. Evaluate the expression for 180 eggs. a.x eggs b. 180 eggs = 5Divide. The Omelet Café should buy 5 cartons to get 180 eggs. 1-3
PRE-ALGEBRA LESSON 1-3 Words $16 for each pizza plus $2 delivery charge Let p = number of pizzas. • Expression 16 p + 2 The One Pizza restaurant makes only one kind of pizza, which costs $16. The delivery charge is $2. Write a variable expression for the cost of having pizzas delivered. Evaluate the expression to find the cost of having two pizzas delivered. Evaluate the expression for p = 2. 16 • p + 2 = 16 • 2 + 2 = 32 + 2 = 34 It costs $34 to have two pizzas delivered. 1-3
Traffic Light L22 Guided Practice Write each phrase as an algebraic expression. 1. 18 less than an number 2. the quotient of a number and 21 3. 8 times the sum of x and 15 4. 7 less than the product of a number and 5 x – 18 x 21 8(x + 15) 5n – 7
5. The county fair charges an admission of $6 and then charges $2 for each ride. Write an algebraic expression to represent the total cost after r rides at the fair. 6 + 2r
Sample EOG Question: The expression $1.25p + $3.50 can be used to calculate the total charge for faxing p pages at Kinko’s. How much would it cost to fax 8 pages? $12.50 $4.75 $13.50 $10.00
Sample EOG Question: The distance to the beach is fifty miles more than twice the distance to the mountains. If m represents the distance to the mountains, which expression represents the distance to the beach? A. 50mB. 2m + 50C. 50m + 2D. 100m + 50
Reflection: Make up your own example using words. Translate your words into an algebraic expression. Homework: “Variables and Expressions” and “A Variable Maze”