Mr. R.’s World of Math

cycling hills exemplar

Lesson: Cycling Hills Exemplar
Grade Level: 3-5
Skills: number sense, addition, subtraction

Problem:
You decide to ride your bicycle to school because it’s great exercise and also great for the environment! On the way to school there’s a big hill. You pedal up, but it’s very tough. the hill is 80 feet long! It takes you 1 minute to travel 10 feet up the hill, how long will it take you to travel up the entire hill?

Challenge 1: The next day you go up the same hill, but you get so tried that each minute you go up 10 feet, you also roll down 5 feet. How many minutes would it take you to travel up the entire 80-foot hill?

Challenge 2: On the third day of biking to school you travel up the same hill again, but this time you’re so exhausted that each minute you go up 10 feet, you roll down 9 feet. How many minutes would it take you to get to the top of the 80-foot hill?

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