"Marabyn" Teacher Support

Marabyn Archived PoW || Student Version

Marabyn is no longer the current ESCOT Problem of the Week. The student version allows teachers to use the problem with their students without giving the students access to the archived answers. Teachers can use the link to the archived problem to get ideas of student thinking.

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The Marabyn problem requires students to recommend a distance for someone to travel on a bus and a walking time to complete the journey home. The complicating factor is that there is a given window of time for Marabyn to complete her journey.

In the second part of the problem students are required to generalize their answer using the distance formula.

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Alignment to the NCTM Standards - Grades 6-8
Number & Operations
- understand numbers, ways of representing numbers, relationships among numbers, and number systems

Algebra
- use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships
- model and solve contextualized problems using various representations, such as graphs, tables, and equations

Measurement
- solve simple problems involving rates

Problem Solving
- solve problems that arise in mathematics and in other contexts

Reasoning and Proof
- make and investigate mathematical conjectures

Communication
- communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
- use the language of mathematics to express mathematical ideas precisely.

Connections
- recognize and apply mathematics in contexts outside of mathematics.
Possible Activities:
Pre-Activity
Suggested by Susan Socha: As a class, group or individual activity have the students respond to these questions:
1. How fast was the bus traveling in km/hr? How fast in mph?
2. How fast was Marabyn walking in km/hr? How fast in mph?
3. Why is the slope of the bus line steeper than the slope of Marabyn's line?
4. How long would it take Marabyn to walk home from school if she missed the bus?
5. How long would it take Marabyn to get home if she stayed on the bus all the way to her house?
6. As Marabyn's walking time increases, will the distance she walks from getting off the bus to home increase or decrease?
7. Use the equation that you found to predict:
-- If Marabyn got off the bus after 12 km, how long would it take her to walk home?
-- If Marabyn took 18 minutes to walk home, how long was she on the bus?
- The MovingMan Project by Lisa Denise Murphy
Directions are here and also the recommendation to use Internet Explorer if using a Macintosh.
- Distance, rate, and time - Math.com
- Calvin & Hobbes by Bill Watterson (Algebra Comics)

Post-Activity
- Translate a distance-rate-time problem - an interactive javascripted exercise

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Related Lessons Online:
Problems Posed in Ask Dr. Math
- Two Trains

Library of Math Forum Problems of the Week
- Middle School: Distance-Rate-Time

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Resources to use with students:
- Distance, Rate, and Time

Vocabulary
- distance
- function
- rate
- speed
- time

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Other Resources
- Distance and Scale Activity - NASA
- Distance, Rate, Time Activity - Suzanne Alejandre
- The Math Forum: A Tour of Measurement
- Technology Integrated Experiences - Jeanette Parrella
- Time/Rate word problems - Mathstories.com

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