1.2 translate story problems ink.notebook Page 24 Page 25 Page 26 1.2 Translate Story Problems Lesson Objectives Standards Page 27 1.2 cont. Translate Story Problems Press the tabs to view details. 1
Standards Lesson Notes Lesson Objectives Standards Lesson Notes A.SSE.1 A.SSE.1 A.SSE.2 A.SSE.2 A.SSE.2 I will translate key terms into algebraic operations I will interpret the rate in an algebraic expression I will rewrite a verbal expression into an algebraic expression I will rewrite a verbal expression into an algebraic inequality I will rewrite a verbal expression into an algebraic equation A.SSE.1 Interpret expressions that represent a quantity in terms of its context. a. Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.2 Use the structure of an expression to identify the ways to rewrite it. Press the tabs to view details. Press the tabs to view details. My Definition: amount per something amount that is applied over and over again Example: 3x + 4 the 3 10-2x the - 2 Rate Characteristics: number in front of the variable (repeated addition) Counterexample: A number by itself like 3 or - 4 My Definition: 2 math expressions that are set equal to each other Example: 3 + 4 = 7 2x + 3 = 11 x - 5 = 2x + 1 Equation Characteristics: * must have an equal sign * whatever you do to one side, you must do to the other side of the equal sign Counterexample: y - 7 x 2-16x + 8 12 4x + 1 > 2 2
My Definition: Uses 1 of the 4 symbols <, >, <, > Example: Characteristics: used in story problems that must come out to only whole number answers Inequality Counterexample: Complete each table. Study the pattern and write a VARIABLE EXPRESSION in the last entry that shows the pattern of how the number in the first column is related to the number in the second column. 1. 2. 3. 2x + 1 < 4 3x > 12 5 + x = 2 (equation) 3x - 1 (expression) Use the following problems to complete a table. In the last entry write a variable expression. 4. Jason is going to a new dance club. It costs $8.00 at the door and $1.25 for each soft drink he buys. Make a table showing the total money Jason would spend if he bought 0, 1, 2, 3, 4, 5, 6, or n soft drinks while he was at the club. 3
1.2 translate story problems ink.notebook 5. A new arcade has opened up and you have a coupon that will give you two free games and then $0.50 for all other games played. Find the cost if you play 3, 4, 5, 6, org games. 6. Using toothpicks make triangles in a row. (see figure) Keep track of how many toothpicks you used in the table. Look for a pattern. 4
1.2 translate story problems ink.notebook 7. In previous problems we wrote the expressions below. Each of these expressions included a rate of change factor. Identify the rate number in each expression. a) $.50(g 2) arcade with two free games b) $8 + n($1.25) dance club fee plus soft drinks 8. A phone call to Mexico costs $.23 per minute. Under a special calling plan, your first 30 minutes are free. Write a variable expression for the amount you would pay for calls to Mexico totaling m minutes. (Assume m > 30.) m = minutes pay = 9. Lumber for bookshelves costs $1.30 per linear foot, and there is a $10 milling charge, no matter how many feet you buy. Write a variable expression for the cost of the lumber for bookshelves, based on the number of linear feet you buy. f = linear feet cost = 5
On Your Whiteboards a) A jetliner cruises at an altitude of 35,000 ft. During the initial phases of its decent, the plane loses 250 ft of altitude per minute. Write a variable expression for the altitude, based on the number of minutes after the plane begins its decent. m = minutes after decent altitude = b) A tablespoon of peanut butter contains 5 g of protein. A slice of whole wheat bread contains 3 g of protein. Write a variable expression for the amount of protein in a peanut butter sandwich made with n tablespoons of peanut butter and two pieces of whole wheat bread. n = # of tablespoons of peanut butter c) Billy went to a farm to pick strawberries. He was charged $4 to gain access to their fields and then $2 per pint of strawberries. Billy thinks that 4p + 2 represents the price based on the number of pints he picked. Is he correct? EXPLAIN. If not, what is the correct algebraic expression? total protein = 6
On the Worksheet Homework Complete each table. Study the pattern and write a VARIABLE EXPRESSION in the last entry that shows the pattern of how the number in the first column is related to the number in the second column. 2. Complete each table. Study the pattern and write a VARIABLE EXPRESSION in the last entry that shows the pattern of how the number in the first column is related to the number in the second column. 3. 7
4. A library charges $0.05 fine for each day a book is overdue. Find the fine for a book overdue 3, 4, 5, 6, 7, or d days. 5. Using toothpicks make squares in a row. (see figure) Keep track of how many toothpicks you used in the table. Look for a pattern. 6. A tablespoon of peanut butter contains 5 g of protein. A slice of whole wheat bread contains 3 g of protein. Write a variable expression for the amount of protein in a peanut butter sandwich made with n tablespoons of peanut butter and two pieces of wholewheat bread. 7. An amusement park ride called the Octopus takes 15 seconds to extend its tentacles and each revolution takes 24 seconds. Write a variable expression for your total time on the Octopus, based on the number of revolutions. n = # of tablespoons of peanut butter total protein = r = # of revolutions total time = 8
8. Sue Jung has 2300 frequent flier miles, and her credit cards gives her 2 frequent flier miles for every dollar she charges on the card. Write a variable expression for the number of frequent flier miles Sue Jung will have after charging d dollars on her credit card. 9. A jetliner cruises at an altitude of 35,000 ft. During the initial phases of its decent, the plane loses 250 ft of altitude per minute. Write a variable expression for the altitude, based on the number of minutes after the plane begins its decent. m = minutes after decent d = dollars on credit card frequent flier miles = altitude = 10. Tim buys a water pitcher for $12 and matching glasses for $2.50 each. Write a variable expression for the amount he pays, based on the number of glasses he buys. g = number of glasses total cost = 11. The table below shows the height of a corn plant each day after it first appeared above the ground. Write a variable expression for the height of the corn plant d days after it first appeared above the ground. 3 cm 4.5 cm... 1 day 2 days 3 days... d days? 9
12. Use the health club ad. Write a variable expression for the amount you would pay to join Northside Fitness, based on the number of months you belong to the club. Answers: 1) 15, 20, 22, n + 2 3) 3, 2, 1, 1, 2 5) 4, 7, 10, 13, 16, 22, 3n + 1 7) 15 + 24r 9) 35000 250m 11) 1.5d 10