Writing Inequality Statements for Real World Scenarios 1

Writing Inequality Statements for Real World Scenarios 1

Warm Up OBJECTIVE: SWBAT write inequalities for real-world problem scenarios. LANGUAGE OBJECTIVE: SWBAT translate and use the language of inequalities including phrases such as “no more than” and “at least.” Write each inequality statements #1-4 in your notebook. Then write the letter and phrase on the right that it represents. 1. C 12 2. C 12 3. C 12 4. C 12 a. b. c. d. No more than 12 cars. At least 12 candies. Fewer than 12 cats. More than 12 coins. Agenda 2

Launch It costs 13 per person to skate and eat pizza. The cake costs 50. You are going to have some total number of guests, n, attending your party, skating and eating. What is the equation for calculating the cost? 3 students will be randomly selected to share their equations. Agenda 3

Launch It costs 13 per person to skate and eat pizza. The cake costs 50. C 13n 50 Think, Pair, Share: Lefty: Tell Righty how to calculate the cost for 1 guest. Righty: Tell Lefty how to calculate the cost for 2 guests. Agenda 4

Launch It costs 13 per person to skate and eat pizza. The cake costs 50. C 13n 50 How does this equation work? I multiply the number of people times 13 to get the cost to skate and eat. I add 50 to that cost to get the total cost. Agenda 5

Mini-Lesson: Writing Inequalities It costs 13 each to skate and eat. The cake costs 50. Your mom tells you that the cost of the skating and the cake cannot be more than 200. 13n 50 200 Does this equation represent the situation described? Think, Write, Pair, Share: Write a quick answer. Take turns answering the question (1 min). Agenda 6

Mini-Lesson: Writing Inequalities It costs 13 each to skate and eat. The cake costs 50. Your mom tells you that the cost of the skating and the cake cannot be more than 200. Does this symbol 13n 50 200 represent the idea “cannot be more than? This equation says that if you multiply the number of guests times 13 and add the 50 for the cake it will equal exactly 200. But the situation says it “cannot be more than” 200. Agenda 7

Mini-Lesson: Writing Inequalities It costs 13 each to skate and eat. The cake costs 50. Your mom tells you that the cost of the skating and the cake cannot be more than 200. 13n 50 200 This statement can be represented as an inequality. An inequality is used because the cost does not have to be exactly 200. But the cost must be less than or equal to 200. Keep in mind that n can be any of several different numbers and the statement is still true. Agenda 8

Mini-Lesson: Writing Inequalities Inequalities The inequality symbols you can use are: Less than Less than or equal to Greater than Greater than or equal to Let’s practice selecting the appropriate symbol to represent different situations at the party. Agenda 9

Guided Practice Pick the correct symbol for each statement to best represent the situation. Ex 1.) You tell your mother that the party won’t be fun unless there are at least 10 friends attending. a. n 10 b. n 10 c. n 10 d. n 10 The number of guests, n, must be more than 10 or at least 10 (equal to 10). Agenda 10

Guided Practice Pick the correct symbol for each statement to best represent the situation. Ex. 2) You don’t want your friends to spend a lot of money on presents so you tell them to bring only bring a a present that costs under no more 15. than 15. a. C 15 b. C 15 c. C 15 d. C 15 “no more How couldthan” you rewrite includes this 15 question so that the answer is B? Agenda 11

Guided Practice Which inequality statement best represents this situation? Ex. 3) You want a DJ to play at your birthday party for 2 more than 2 hours. or more hours. a. t 2 b. t 2 c. t 2 d. t 2 “more How could than” you does rewrite not include this question 2 hours. so that the answer is c? Agenda 12

Independent Practice You will use what you have learned here to write and solve more equations and inequalities on your own. You will have 15 minutes to work on the class work problems. Then we will review the work. Agenda 13

Review Students will be selected at random to share their answers. Use the symbol names below. Greater than Greater than or equal to Less than Less than or equal to Agenda 14

Review Some of the students from East Boston Academy are taking a trip to a museum. The cost for lunch is 6 each and admission to the museum is 12 per student. How would you calculate the cost of the trip for n number of students. Explain each step. Why are both answers correct? Multiply the 6 by the number of students to get the total cost of all the lunches. Multiply 12 by the number of students to get the total cost of all the museum admissions. Add them together. OR Multiply 18 by the number of students to get the total cost of all the lunches and the museum admissions. Agenda 15

Review Some of the students from East Boston Academy are taking a trip to a museum. The cost for lunch is 6 each and admission to the museum is 12 per student. How would you calculate the cost of the trip for n number of students. Explain each step. Multiply the 6 by the number of students to get the total cost of all the lunches. Multiply 12 by the number of students to get the total cost of all the museum admissions. Add them together. Agenda 16

Review Some of the students from East Boston Academy are taking a trip to a museum. The cost for lunch is 6 each and admission to the museum is 12 per student. 3. Write an equation for the total cost C of the museum trip for n number of students. C 6s 12s OR C 18s 4. The East Boston Academy has a budget of 500 for each field trip. 6s 12s 500 OR 18s 500 Agenda 17

Assessment: Exit Ticket You have a budget of 600 to pay for a health club membership. The YMCA costs 35 a month but also has a one-time only joining fee of 100. Which inequality statement shows this relationship? A. 35m 100m 600 B. 35m 100 600 C. 135m 600 D. 35m 100 600m Agenda 18