"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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[Activities]
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[Dr. Math]
[Vocab]
[Other Resources]
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.
If you have something to share with us as you use any of the links or suggestions on this page (something you tried and changed or a new idea) we would love to hear from you. Please email us.
Alignment to the NCTM Standards  Grades 68
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:
PreActivity
Suggested by Susan Socha: As a class, group or individual activity have the students respond to these questions:
 How fast was the bus traveling in km/hr? How fast in mph?
 How fast was Marabyn walking in km/hr? How fast in mph?
 Why is the slope of the bus line steeper than the slope of Marabyn's
line?
 How long would it take Marabyn to walk home from school if she missed the
bus?
 How long would it take Marabyn to get home if she stayed on the bus all
the way to her house?
 As Marabyn's walking time increases, will the distance she walks from
getting off the bus to home increase or decrease?
 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)
PostActivity
 Translate a distanceratetime 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: DistanceRateTime
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Resources to use with students:
Ask Dr. Math FAQ
 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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