Title: Module 1: Numbers, Conversions & Measurements Learning Objectives
Course: Technical Math for Industry > Section: Module 1.0: Numbers, Conversions & Measurements

Overview and Introduction

This module contains interactive tutorials to help you practice or refresh your math skills on the following topics:

Ratios, Proportions & Percents

Lesson 1 Learning Objectives-Simplifying Ratios and Rates

- Write ratios and rates as fractions in simplest form.
- Find unit rates.
- Find unit prices.

Lesson 2 Learning Objectives-Understanding Proportions

- Determine whether a proportion is true or false.
- Find an unknown in a proportion.
- Solve application problems using proportions.

Percents

Lesson 3 Learning Objectives-Convert Percents, Decimals, and Fractions

- Describe the meaning of percent.
- Represent a number as a decimal, percent, and fraction.

Lesson 4 Learning Objectives-Solving Percent Problems

- Identify the amount, the base, and the percent in a percent problem.
- Find the unknown in a percent problem.

Systems of Measurements

Lesson 5 Learning Objectives-U.S. Customary Units of Measurements

Length

- Define units of length and convert from one to another.
- Perform arithmetic calculations on units of length.
- Solve application problems involving units of length.

Weight

- Define units of weight and convert from one to another.
- Perform arithmetic calculations on units of weight.
- Solve application problems involving units of weight.

Capacity

- Define units of capacity and convert from one to another.
- Perform arithmetic calculations on units of capacity.
- Solve application problems involving units of capacity.

Lesson 6 Learning Objectives-Metric System and Conversions

The Metric System

- Describe the general relationship between the U.S. customary units and metric units of length, weight/mass, and volume.
- Define the metric prefixes and use them to perform basic conversions among metric units.

Converting within the Metric System

- Perform arithmetic calculations on metric units of length, mass, and volume.

Using Metric Conversions to Solve Problems

- Solve application problems involving metric units of length, mass, and volume.

Lesson 7 Learning Objectives-Temperature Scales

- State the freezing and boiling points of water on the Celsius and Fahrenheit temperature scales.
- Convert from one temperature scale to the other, using conversion formulas.

Exponents, Roots, Powers of 10 & Scientific Notation

Lesson 8 Learning Objectives-Understanding Exponents

Understanding Exponents and Square Roots

- Evaluate expressions containing exponents.
- Write repeated factors using exponential notation.
- Find a square root of a perfect square.

Order of Operations

- Use the order of operations to simplify expressions, including those with parentheses.
- Use the order of operations to simplify expressions containing exponents and square roots.

Lesson 9 Learning Objectives-Intro to Roots and Rational Exponents

Roots

- Find principal square roots and their opposites.
- Approximate square roots and find exact roots with a calculator.

Squares, Cubes, and Beyond

- Simplify square roots.
- Find cube roots.
- Simplify expressions with odd and even roots.

Rational Exponents

- Convert radicals to expressions with rational exponents.
- Convert expressions with rational exponents to their radical equivalent.
- Use the laws of exponents to simplify expressions with rational exponents.
- Use rational exponents to simplify radical expressions.

Lesson 10 Learning Objectives-Radical Equations

Solving Radical Equations

- Solve equations containing radicals.
- Recognize extraneous solutions.
- Solve application problems that involve radical equations as part of the solution.

The lessons are designed to be self-paced and accomplished at your own pace.

If you have taken the Math Readiness Quiz, you will understand where your math strengths and weakness are and can tailor your learning to just the topics and modules you need. You may review the material as many times as you need and take the quizzes as many times as needed to increase your proficiency in the math concept.