Writing Inequality Statements for Real World Scenarios 1.

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Writing Inequality Statements for Real World Scenarios 1

Warm Up Agenda 2 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. No more than 12 cars. b. At least 12 candies. c. Fewer than 12 cats. d. More than 12 coins. 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.”

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

Agenda 4 It costs \$13 per person to skate and eat pizza. Launch 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. 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. The cake costs \$50. C = \$13n + \$50

Agenda 5 It costs \$13 per person to skate and eat pizza. Launch 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. 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. The cake costs \$50. C = \$13n + \$50

Agenda 6 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? \$13n + \$50 = \$200 Does this equation represent the situation described? Mini-Lesson: Writing Inequalities Think, Write, Pair, Share: Write a quick answer. Take turns answering the question (1 min). Think, Write, Pair, Share: Write a quick answer. Take turns answering the question (1 min). It costs \$13 each to skate and eat. The cake costs \$50.

Agenda 7 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. \$13n + \$50 = \$200 Mini-Lesson: Writing Inequalities But the situation says it “cannot be more than” \$200. Does this symbol represent the idea “cannot be more than? 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.

Agenda 8 This statement can be represented as an inequality. \$13n + \$50 ≤ \$200 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. 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.

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

Guided Practice 10 Agenda 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).

Guided Practice 11 Agenda 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 only bring a present that costs under \$15. a. C < \$15 b. C ≤ \$15 c. C > \$15d. C ≥ \$15 a. C < \$15 How could you rewrite this question so that the answer is B? Ex. 2) You don’t want your friends to spend a lot of money on presents so you tell them to bring a present that costs no more than \$15. “no more than” includes \$15 b. C ≤ \$15

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

Independent Practice 13 Agenda 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.

Review 14 Agenda 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 ≥ ≤ ≤<

Review 15 Agenda 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. OR Multiply \$18 by the number of students to get the total cost of all the lunches and the museum admissions. Why are both answers correct?

Review 16 Agenda 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.

Review 17 Agenda 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

Assessment: Exit Ticket 18 Agenda 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