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c. d.
Problem Statement
Priya is walking down a long hallway. She walks halfway, and stops. Then, she walks half of the remaining distance, and stops again. She continues to stop every time she goes half of the remaining distance.
a. What fraction of the length of the hallway will Priya have covered after she starts and stops two times?
b. What fraction of the length of the hallway will Priya have covered after she starts and stops four times?
c. Will Priya ever reach the end of the hallway, repeatedly starting and stopping at half the remaining distance? Explain your thinking.
Solution
a. b.
c. Answers vary
Problem Statement
Here is an image of a triangle showing how it changes with each step:
The large outside triangle has an area of 1 square unit. Express all answers in square units.
a. Write an expression representing the total area of the white triangle in the rst step.
b. Write an expression representing the total white area of the second step and evaluate it.
c. Write an expression representing the total white area of the third step and evaluate it. d. Write an expression representing the total white area of the fourth step and evaluate it.
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Teacher Guide Algebra