# Running Pattern

Practices
Contextualizing and decontextualizing
Noticing and using mathematical structure
Topics
Decimals
Fractions
Patterns
4
5
Use an App
Number Line
1N7M-FZAT
Fractions
4LE5-CPGX

How can different stages of a growing pattern be determined?

Kimiko ran a total of 6 miles in 4 days. Each day, she ran ½ mile more than she had run the day before.

• How many miles did Kimiko run on the first day?
• If Kimiko continues this pattern, how many miles will she run on the eighth day?
How could you get started?
• How could you represent Kimiko’s running?
• How far could Kimiko have run on Day 1? What would that mean for her distance on Day 2?
Ready to explore more?
• Kimiko’s Aunt Leslie ran 25 miles in 5 days. Each day, Aunt Leslie ran 1 ¼ miles more than she had the day before. How far did she run on the first day? If she kept increasing her distance in this way past 5 days, how many days would it take before she ran more than the distance of a marathon (26.2 miles)?
• What if Kimiko started with the same number of miles but doubled the distance she ran each day? How many days would it be until she ran more than 10 miles in a day? More than 50? More than 100?