Math on the Trail

Cub Scouts · Adventure, Elective

Math on the Trail shows how math helps you plan a hike. You'll measure your walking speed, test your prediction, and think about what slows hikers down. It's a fun way to use numbers outside.

Why it's worth it

Hikers and backpackers use math every trip: how long will this trail take, when do we need to turn around, will we make camp before dark? You'll measure your own walking speed, test your prediction, and plan for a much bigger hike. It's math you can feel in your legs, and it makes you a smarter trip planner.

Start this week

With your adult, find a place to walk a measured quarter mile, like a school track.
Bring a stopwatch or phone timer and a notebook to record your time.
Ask your family how long they think it takes to walk 2 miles, and write down their guesses.

Stay safe

Walk with your adult or den, carry water, and stay off busy roads.

Requirements · 3

Every official requirement and part, numbered to match Scouting America, in plain language. Sign off against the official wording (opens in a new tab).

Requirement 1
Walk 1/4 mile to find your walking pace; use it to predict how long 2 miles would take you
Tip: Use a school track (one lap is often about 1/4 mile) and time yourself. Multiply to predict 2 miles.
For example: If one quarter mile takes you 5 minutes, then 1 mile takes 4 times that (20 minutes), and 2 miles takes 8 times that (40 minutes). Write your prediction before you walk.
Requirement 2
Walk 2 miles and record how long it took
Tip: Walk 2 miles on a flat route with an adult and compare your time to your guess.
For example: Walk your 2 miles with your adult and record your time. Compare it with your guess: did you slow down at the end, stop to tie a shoe, or speed up on a downhill?
Requirement 3
Predict how much time a two-day hike on a 20-mile trail would take you, and list every factor you considered
Tip: Use your 2-mile time to estimate 20 miles. Think about hills, rest breaks, heavy packs, and weather.
For example: If 2 miles takes you 40 minutes, 20 miles would be about 400 minutes of walking, close to 7 hours. Then add time for hills, a heavy pack, rest and lunch breaks, rough trail, and weather.

Talk about it together

How close was your prediction, and why do you think it was off?
What slowed you down the most on your 2-mile walk?
How would you plan a two-day hike so everyone in your group could keep up?
Where else could you use this kind of math?

Helpful reads

Cub Scouts: a guide for families, How Cub Scout ranks and adventures work from kindergarten through fifth grade, what an adult partner does, and how to keep it fun at meetings and at home., Families · Leaders · 4 min read

For leaders & parents

Bring stopwatches or phones and let scouts do the math themselves.
Talk about why real hiking times are usually longer than a flat-ground estimate.

People & places that can help

Local school track or park trail — A measured path makes timing easy.
National Park Service (opens in a new tab) — Trail maps with distances to practice planning.
Khan Academy (opens in a new tab) — Free lessons on rates, multiplying, and word problems.
American Hiking Society (opens in a new tab) — Trail tips and how hikers plan longer trips.

Webelos, Rank · 7 requirements

Tips, examples, and questions are ideas from experienced leaders, not extra requirements. Your unit leader or counselor decides when a requirement is complete.