Section D Section D Checkpoint

Problem 1

A rectangular garden is 11 yards long and 9 feet wide. How many square feet is the area of the garden? Explain or show your reasoning.

Show Solution
Solution

297 square feet. Sample response: I know that 11 yards is 33 feet so the area is 9×339 \times 33 feet. I know 9×3=279 \times 3 = 27 and 9×30=2709 \times 30 =270 and 27+270=29727 + 270= 297.

Show Sample Response
Sample Response

297 square feet. Sample response: I know that 11 yards is 33 feet so the area is 9×339 \times 33 feet. I know 9×3=279 \times 3 = 27 and 9×30=2709 \times 30 =270 and 27+270=29727 + 270= 297.

Problem 2

Tyler scored 126 points in 9 basketball games.

  1. If Tyler scored the same number of points each game, how many points did he score in each game? Explain or show your reasoning.
  2. Diego scored 5 more points than Tyler did in each game. How many points did Diego score in the 9 games? Explain or show your reasoning.
Show Solution
Solution
  1. 14 points. Sample response: I know that 10×9=9010 \times 9 = 90 and 4×9=364 \times 9 = 36 and 90+36=12690 + 36 = 126. So I added 10 and 4.
  2. 171 points. Sample response: 126+(9×5)=126+45=171126 + (9 \times 5) = 126 + 45 = 171.
Show Sample Response
Sample Response
  1. 14 points. Sample response: I know that 10×9=9010 \times 9 = 90 and 4×9=364 \times 9 = 36 and 90+36=12690 + 36 = 126. So I added 10 and 4.
  2. 171 points. Sample response: 126+(9×5)=126+45=171126 + (9 \times 5) = 126 + 45 = 171.