Show students how to find permutations using technology. The following are steps to find using the permutation option on the TI-84 graphing calculator: 1. Enter the integer (9) on the Home screen. 2. Select the MATH menu. 3. Scroll to PRB. 4. Select option 2: nPr. 5. Enter 4 and press ENTER. Exercises 10–15 (7 minutes) Students should work in small groups (2 or 3 students per group). Allow about 7 minutes for them to complete Exercises 10–15. Exercise 13 requires students to reason abstractly and quantitatively as they determine how repetition affects the number of outcomes. Encourage students to write the permutation formula and show the substitution. Some of the answers require the use of scientific notation. You many need to remind students of the notation and how the calculator displays the results. One common student error is that they do not see the displayed for scientific notation. The screen shot below shows the results for . Some students may record the answer as instead of . When students have finished answering the questions, discuss the answers. Exercises 10–15 If is , find . How many different ways can the numbered pool balls be placed in a line on the pool table? Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets. How many ways can the eight cookbooks be arranged on the shelf? or How many distinct -letter groupings can be made with the letters from the word champion if letters may not be repeated?
Show students how to find permutations using technology. The following are steps to find using the permutation option on the TI-84 graphing calculator: 1. Enter the integer (9) on the Home screen. 2. Select the MATH menu. 3. Scroll to PRB. 4. Select option 2: nPr. 5. Enter 4 and press ENTER. Exercises 10–15 (7 minutes) Students should work in small groups (2 or 3 students per group). Allow about 7 minutes for them to complete Exercises 10–15. Exercise 13 requires students to reason abstractly and quantitatively as they determine how repetition affects the number of outcomes. Encourage students to write the permutation formula and show the substitution. Some of the answers require the use of scientific notation. You many need to remind students of the notation and how the calculator displays the results. One common student error is that they do not see the displayed for scientific notation. The screen shot below shows the results for . Some students may record the answer as instead of . When students have finished answering the questions, discuss the answers. Exercises 10–15 If is , find . How many different ways can the numbered pool balls be placed in a line on the pool table? Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets. How many ways can the eight cookbooks be arranged on the shelf? or How many distinct -letter groupings can be made with the letters from the word champion if letters may not be repeated?