Rational Numbers End of Module Assessment Task

End-of-Module Assessment Task A STORY OF RATIOS Name 6•3 Date 1. Mr. Kindle invested some money in the stock market. He tracks his gains and losses using a computer program. Mr. Kindle receives a daily email that updates him on all his transactions from the previous day. This morning, his email read as follows: Good morning, Mr. Kindle, a. Yesterday’s investment activity included a loss of $800, a gain of $960, and another gain of $230. Log in now to see your current balance. Write an integer to represent each gain and loss. Description Loss of $800 Gain of $960 Gain of $230 b. Integer Representation -800 960 230 Mr. Kindle noticed that an error had been made on his account. The “loss of $800” should have been a “gain of $800.” Locate and label both points that represent “a loss of $800” and “a gain of $800” on the number line below. Describe the relationship of these two numbers when zero represents no change (gain or loss). Module 3: Rational Numbers End-of-Module Assessment Task A STORY OF RATIOS c. 6•3 Mr. Kindle wanted to correct the error, so he entered −(−$800) into the program. He made a note that read, “The opposite of the opposite of $800 is $800.” Is his reasoning correct? Explain. 2. At 6:00 a.m., Buffalo, NY, had a temperature of 10℉. At noon, the temperature was −10℉, and at midnight, it was −20℉. Temperature in degrees Fahrenheit a. Write a statement comparing −10℉ and −20℉. b. Write an inequality statement that shows the relationship between the three recorded temperatures. Which temperature is the warmest? Module 3: Rational Numbers 199 End-of-Module Assessment Task A STORY OF RATIOS 6•3 c. Explain how to use absolute value to find the number of degrees below zero the temperature was at noon. d. In Peekskill, NY, the temperature at 6:00 a.m. was −12℉. At noon, the temperature was the exact opposite of Buffalo’s temperature at 6:00 a.m. At midnight, a meteorologist recorded the temperature as −6℉ in Peekskill. He concluded that “For temperatures below zero, as the temperature increases, the absolute value of the temperature decreases.” Is his conclusion valid? Explain and use a vertical number line to support your answer. 3. Choose an integer between 0 and −5 on a number line, and label the point 𝑃𝑃. Locate and label each of the following points and their values on the number line. a. Label point 𝐴𝐴: the opposite of point 𝑃𝑃. b. Label point 𝐵𝐵: a number less than point 𝑃𝑃. c. Label point 𝐶𝐶: a number greater than point 𝑃𝑃. d. Label point 𝐷𝐷: a number halfway between P and the integer to the right of point 𝑃𝑃. Module 3: Rational Numbers End-of-Module Assessment Task A STORY OF RATIOS 6•3 4. Julia is learning about elevation in math class. She decided to research some facts about New York State to better understand the concept. Here are some facts that she found.       Mount Marcy is the highest point in New York State. It is 5,343 feet above sea level. Lake Erie is 210 feet below sea level. The elevation of Niagara Falls, NY, is 614 feet above sea level. The lobby of the Empire State Building is 50 feet above sea level. New York State borders the Atlantic Coast, which is at sea level. The lowest point of Cayuga Lake is 435 feet below sea level. a. Write an integer that represents each location in relationship to sea level. b. Explain what negative and positive numbers tell Julia about elevation. Module 3: Rational Numbers