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 G: Academic Standards

East Side Union High School District Essential Learning Outcomes

Students will be able to understand the use of variables, inequalities, linear equations, and linear inequalities given a story context and use units as a tool for understanding problems.

Correlation to Common Core Mathematics Standards

The primary goal of this unit is to provide students with the practice and development of problem solving skills within a personalized context. This addresses the standards: Defining quantities and interpreting expressions (N.Q.2, A.SSE.1) and Interpreting expressions and using units to understand problems (A.SSE.1, N.Q.1).

As students reason through problems and provide justification for their work, they will address the standards: Explaining each step in the process of solving an equation (A.REI.1) and Using units as a way to understand problems (N.Q.1)

If choosing to use the extension of scenarios, additional standards will be addressed, including:

Writing inequalities to fit a context (A.REI.1, A.REI.3)

Reasoning about inequalities and the properties of inequalities (A.REI.1, A.REI.3)

Solving linear inequalities and representing the solution (A.REI.1, A.REI.3)

An introduction to representing constraints with systems of inequalities (A.CED.3)

Writing and solving equations in two variables (A.CED.2, A.CED.4)

Writing and graphing linear inequalities in two variables (A.CED.2, A.REI.12)

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