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

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Appendix D: Differentiation of Problems

Standard Level of Difficulty

These problems are the same as found in Appendix A and all students would be expected to solve one-step and two-step multiplication problems using these values.

Option A: Name Brand uniforms that cost $32 each.

Option B: Decent uniforms, but not as fancy, that cost $24 each.

Option C: T-shirts with school logos for $8 each.

Moderate Level of Difficulty

Prices of each item may include cents that are multiples of 25.

Option A: Name Brand uniforms that cost $31.50 each.

Option B: Decent uniforms, but not as fancy, that cost $21.75 each.

Option C: T-shirts with school logos for $6 each.

Higher Level of Difficulty

This situation is the most realistic; where price points are broken down to the cent in order to determine the best deal.

Option A: Name Brand uniforms that cost $31.58 each.

Option B: Decent uniforms, but not as fancy, that cost $22.86 each.

Option C: T-shirts with school logos for $7.92 each.

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