Upper Elementary:
Question: Chloe gets on her bike at home and rides 2 miles north to the post office. From there, she rides 3 miles west to the library. Then, she rides 4 miles south to the park, then 5 miles east to the farmer's market. Finally, Chloe rides her bike 2 miles north to her friend Daniel's house. How far away is Daniel's house from Chloe's house? In what direction?
Answer: 2 miles east
Solution: Instead of solving this mentally, students can use a coordinate plane and put Chloe’s house on the origin. The post office is at (0, 2). The library is at (–3, 2). The park is at (–3, –2). The farmer’s market is at (2, –2). Finally, Daniel’s house is at (2, 0), which is 2 miles to the right, or east, of Chloe’s house.