From Arithmetic to Algebra: Variables, Word Problems, Fractions and the Rules

CONTENTS OF CURRICULUM UNIT 17.05.11

  1. Unit Guide
  1. Introduction
  2. Background and Demographics
  3. Rationale
  4. Mathematical Sequences
  5. Arithmetic (Linear) Sequences
  6. Geometric (Exponential) Sequences
  7. Neither Arithmetic nor Geometric Sequences
  8. Quadratic Sequences
  9. Additional Problems
  10. Appendix
  11. Bibliography
  12. Endnotes

Sequencing Math DNA: Differences, Nth Terms, and Algebraic Sequences

Lawrence Elliott Yee

Published September 2017

Tools for this Unit:

Appendix

District Academic Standards

The unit will address the following focus standards and supporting standards for Math 1, as well as standards from the Integrated Math 2 course. 

ESUHSD Curriculum Unit Focus Standards

Focus standards for this lesson include the following:

F-LEA: Construct and compare linear, quadratic, and exponential models and solve problems

ESUHSD Curriculum Unit Supporting Standards

F-IF-A: Understand the concept of a function and use function notation

F-IF-B: Interpret functions that arise in applications in terms of the context

F-IF-C: Analyze functions using different representations

F-BD-A: Build a function that models a relationship between two quantities (linear & exponential)

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.

I also see the content of this unit being applied to my Math Analysis course, as the first three chapters are devoted to developing the idea of a function and study of polynomial and exponential functions. With a stronger understanding of what is a function and how to analyze polynomials, the students will be better prepared for AP Calculus and AP Statistics.

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