Transitions in the Conception of Number: From Whole Numbers to Rational Numbers to Algebra

CONTENTS OF CURRICULUM UNIT 23.03.07

  1. Unit Guide
  1. Introduction
  2. Student and School Background Information
  3. Content Objectives
  4. Teaching Strategies
  5. Classroom Activities
  6. Resources
  7. Annotated Bibliography
  8. Appendix on Implementing District Standards
  9. Notes

Improving Proportional Reasoning = Improving High School Math Success

Julie Skrzypczak

Published September 2023

Tools for this Unit:

Appendix on Implementing District Standards

MP.2 Reason abstractly and quantitatively.

Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize and the ability to contextualize.

MP.4 Model with mathematics.

Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.

MP.7 Look for and make use of structure.

Mathematically proficient students look closely to discern a pattern or structure.

6.RP.A Ratios and Proportional Relationships: Understand ratio concepts and use ratio reasoning to solve problems.

6.NS.C. The Number System: Apply and extend previous understandings of numbers to the system of rational numbers.

7.RP.A Ratios and Proportional Relationships: Analyze proportional relationships and use them to solve real-world and mathematical problems.

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