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

CONTENTS OF CURRICULUM UNIT 17.05.10

  1. Unit Guide
  1. Introduction
  2. Demographics
  3. Objectives
  4. Unit Content
  5. Teaching Strategies
  6. Classroom Activities
  7. Sample Problem Sets
  8. Teacher and Student Resources
  9. Appendix
  10. Bibliography

Exploring Kinematic Proportional Relationships

Zachary J. Meyers

Published September 2017

Tools for this Unit:

Appendix

Standards

NGSS Standard Integration

The unit will incorporate standards from the Next Generation Science Standards (NGSS) in Unit I and II. The focus will be primarily on the nature of motion and the factors that influence an object’s speed, velocity, and acceleration.

Disciplinary Core Ideas

  • Newton’s second law accurately predicts changes in the motion of macroscopic objects. (HS-PS2-1) I
  • If a system interacts with objects outside itself, the total momentum of the system can change; however, any such change is balanced by changes in the momentum of objects outside the system. (HS-PS2-2) (HS-PS2-3) I
  • Momentum is defined for a particular frame of reference; it is the mass times the velocity of the object (HS-PS2-2) I

Crosscutting Concepts

  • When investigating or describing a system, the boundaries and initial conditions of the system need to be defined and their inputs and outputs analyzed and described using models. (HS-PS3-4) I.

Science & Engineering Practices

  • Use mathematical representation of phenomena to describe explanations. (HS-PS2-2) I
  • Analyze data using tools, technologies, and/or models (e.g., computational, mathematical) in order to make valid and reliable scientific claims or determine an optimal design solution. (HS-PS2-1)

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