NS.7d - Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.
WARM-UP
Use the words greater than, less than, or the same as to describe the following pairs of numbers:
| -14 | is __________________ | 10 |
| 4 | is ____________________ | -9 |
| -31 | is __________________ | 30 |
| -3.5 | is __________________ |3.5 |
| -14 | is __________________ | 10 |
| 4 | is ____________________ | -9 |
| -31 | is __________________ | 30 |
| -3.5 | is __________________ |3.5 |
Word Problems - Pick 3 to solve and then discuss your answers with your partner
MINI LESSON - INDEPENDENT WORK/SHARE OUT/DISCUSSION
1) New York City is having a very cold winter. During the day, it is 0 degrees Fahrenheit. At midnight, it is -10 degrees Fahrenheit, and at 3 a.m. it is -18 degrees Fahrenheit. Write an inequality to compare NYC's nighttime temperatures. Explain the inequality in the context of the situation. Now, take the absolute value of each temperature and compare them. Explain what the absolute value means in the context of the situation.
TEAM CHALLENGE
1) Dave and Nick are friends from college. Since graduation, they have both gained several pounds, and now weigh exactly the same. At New Year's, they decide to start tracking their weight. Each week, they record their weight in a computer program, and it tells them where they are relative to their initial weight. After 8 weeks, Dave's computer reads "-6" and Nick's reads "-8." Write an inequality to compare these numbers. Explain the inequality in the context of the situation. Now, take the absolute value of each number and compare them. Explain what the absolute value comparison means in the context of the problem.