Problem Solving and the Common Core

CONTENTS OF CURRICULUM UNIT 15.05.10

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Personalization of Problems
  4. Content Objectives
  5. Multiplication and Division One-Step Problem Taxonomy
  6. Equal Groups Problems
  7. Two-Step Multiplication and Division Problems
  8. Algebraic Representations of Word Problems
  9. Project Based Learning Activity
  10. Reading Problems With Intention
  11. Differentiation of Problem Sets
  12. Bibliography
  13. Appendix A: Royals Rise Up! Project Proposals
  14. Appendix B: Example Scenario
  15. Appendix C: Extensions of the Scenarios – Initial Cost
  16. Appendix D: Differentiation of Problems
  17. Appendix E
  18. Appendix F: Project Based Learning Activity Outline
  19. Appendix G: Academic Standards
  20. Notes

Personalizing Problem Solving

Lawrence Elliott Yee

Published September 2015

Tools for this Unit:

Appendix C: Extensions of the Scenarios – Initial Cost

Including initial costs to the scenario will increase the difficult of problems from being one-step multiplication and division problems to two-step problems including all four basic mathematical operations.

Option A: Name brand uniforms cost approximately $38. The company is offering free designing, but $75 shipping of the uniforms.

Option B: Decent uniforms are cheaper and cost approximately $24. There is also $250 set-up cost for designing the new uniforms and shipping the uniforms.

Option C: T-shirts with Overfelt logos for $8 each, no cost for printing set-up or shipping.

Example Questions

The following are example questions based on the modified scenario that includes an initial cost.

How many uniforms can be purchased if we select Option B?

What is the maximum number of uniforms that can be purchased with Option A?

Write an expression that models the cost of n uniforms for Option A/B/C.

How many more uniforms can we purchase with $10,000 from Option A compared to Option B?

How many times more t-shirts can we afford compared to the number of decent brand uniforms?

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