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Mathematics Governor’s Institute 2003

Problem-in-a-bag Template

 

(Download as Microsoft Word documents: Trent’s Tree Trouble, Cover Page, Extensions, Worksheet, Answers)

 

Title of Project:  Trent’s Tree Trouble

 

Team Members:  Susie Carter, Nicole Creely, John Gebhardt, Merle Reinford, Sue Simatic

 

Grade Level and/or Course:  9-12

 

Concept(s) used: 

Percent, mean, number sense, recursive sequence, minimum/maximum values, and convergence

PA Standard(s) Addressed: 2.2.11 A, 2.5.11 A-B-C-D, 2.8.11 C-D, 2.11.11 A

NCTM Standard(s) Addressed: 

Algebra Standard-

understand patterns, relations, and functions

use mathematical models to represent and  understand quantitative relationships

analyze change in various content

 

Problem Solving and Communication

Introduction/applications: 

Trent has recently bought a nursery business in his hometown.  The previous nursery owner told Trent that one type of tree he plans to      sell, the Colorado Blue Spruce, is a popular type.  He needs to make   some important decisions about inventory in the next few days to maintain sufficient stock.

 

Questions:  What is the optimal wholesale restock number to maintain a consistent inventory?

 

Model:  Inventory control

 

Resources and Material (estimated cost): graphing calculator with sequencing capabilities, Handouts (Cover page, Worksheets, Extension)

 

Procedures & Activities:

Calculate monthly stock with a given set of data.  Optimize restock value to meet customer demand.  Analyze future inventory trends.

Answers/Rubric:  See attached solutions

 

Accommodations/Adaptations

 

ESL:  Teacher assistance with reading and students working in pairs.

 

Special Ed: 

Calculators available for use, students working in pairs, structured data tables set up and given

Enrichment:  Research inventory control models for local businesses

           

 

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