TechMAP - The Right Size - Teachers Edition

This module considers measurement, precision, and accuracy in a variety of contexts. Mathematical topics include mean, rounding, significant digits, perimeter, and area. This module provides good preparation for the module titled The Right Package. A supplemental section features 20 related problems from various state high school mathematics exams.

Introduction

The ability to measure accurately is essential to modern society. Think of the things you use every day that rely on accurate measurement. The engine of any vehicle you ride in is made of parts that are built to precise dimensions.A computer contains tiny printed circuits. The electrical voltages in these circuits must be very stable so the computer will work correctly. The plastic cover of a CD player has to be just the right size so that it can snap securely shut.

Many jobs require careful measurement. A cosmetologist must formulate dyes and skin care preparations in the correct proportions. A carpenter measures to ensure that corners are square, walls are vertical, and floors are flat. Food tastes right only if the chef controls the amounts of ingredients. And every stage of a manufacturing process is subject to rigid quality control.



TechMAP

Covering topics from Algebra I to Precalculus, TechMAP modules show high school students real, immediate uses for mathematics.

All students MUST PASS the same standardized tests in order to graduate and succeed. All 22 TechMAP modules show tangible, real-world applications of the material on these exams, driving home required math skills.

The mathematics required by state tests is taught in algebra and geometry courses, but for many students this is not enough. TechMAP modules demonstrate these skills in vocational fields; they help reinforce existing mathematics courses through actual career activities. These modules are self-contained with exercises, teacher notes, handouts, etc., and can be used individually or together. Each module takes one to three weeks of classroom time.

• A builder finds the slope of a roof the same way an
  algebra student finds the slope of a line.
• A farmer selling her wheat must decide between several
  grain elevators in different locations. She uses conic
  sections and parameters on elementary models to make
  her decision.
• An exploration into the packaging industry reveals area
  formulas.
• GPS devices are everywhere today, and our module
  explains how they actually work; students become well-versed
  in spherical geometry, time differences, and codes.
• Carpenters work with shapes and relationships every
  day, and in our modules we explore circle relationships,
  differential equations, linear regression, and more.