Teacher Notes
X
TIMS Challenge
This item can be assigned as a Problem of the Week.
The man ate 8 grapes on the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day.
8 + 14 + 20 + 26 + 32 = 100 grapes.
Students may use many different strategies and tools to solve this problem: trial and error, working backward, some version of algebraic reasoning, or others.
Encourage students to use the Math Practices page in the Reference section of their Student Guides to organize their work. In particular, remind students to show how they checked for reasonableness [MPE3] and checked their calculations [MPE4].
Meeting Individual Needs
Use this problem to challenge students to not only find a correct answer, but to find efficient solutions, to explain them so others can clearly understand them, and to show how they know their answers are reasonable and correct.
D. Grapes
A man ate 100 grapes in five days. On the second day he ate six more grapes than on the first day. On each of the next three days he ate six more grapes than he did on the day before. How many grapes did he eat on the first day? (Hint: The answer is not 76 grapes).
Answer the question and show the steps you took to solve it. Include strategies you tried that did not work. Use a separate sheet of paper.
Use the Math Practices page in the Reference section of the Student Guide to help you organize your work and explain your strategies. Be sure to show or tell how you know your answer is reasonable and correct.
