Understanding Percent

Learning Topics: 

Introduction, writing fractions as percents and decimals as percents, writing percents as decimals and percents as fractions, percents less than 1 or greater than 100.

This page lists the Learning Objectives for all lessons in Unit 4.


Meaning of Percent

The student will be able to:

  • Define ratio and percent.
  • Describe the relationship between ratios, fractions, decimals and percents.
  • Identify the decimal equivalent of a percent.
  • Identify the fractional equivalent of a percent.
  • Label percentages with the symbol %.
  • Apply percent concepts to complete five interactive exercises.

Writing Fractions as Percents

The student will be able to:

  • Define numerator, denominator and equivalent fraction.
  • Convert a fraction to a percent using equivalent fractions.
  • Convert a fraction to a percent using division.
  • Describe the methods for converting a fraction to a percent.
  • Predict the next fraction given a sequence of percents and their fractional equivalents.
  • Apply fraction-to-percent conversion procedures to complete five interactive exercises.

Writing Decimals as Percents

The student will be able to:

  • Convert decimals with varying place values to percents.
  • Describe the method for converting a decimal to a percent.
  • Explain the connection between place value and decimal-to-percent conversions.
  • Apply decimal-to-percent conversion procedures to complete five interactive exercises.

Writing Percents as Decimals

The student will be able to:

  • Convert whole-number and decimal percents to decimal numbers.
  • Describe the procedure for converting a percent to a decimal.
  • Explain the connection between place value and percent-to-decimal conversions.
  • Connect percents and decimals with money.
  • Apply percent-to-decimal conversion procedures to complete five interactive exercises.

Writing Percents as Fractions

The student will be able to:

  • Define greatest common factor.
  • Convert whole-number and decimal percents to fractions.
  • Describe the greatest common factor method for reducing fractions to lowest terms.
  • Describe the procedure for writing a percent as a fraction in lowest terms.
  • Apply percent-to-fraction conversion procedures to complete five interactive exercises.

Percents Less Than 1 or Greater than 100

The student will be able to:

  • Examine percents less than 1 and percents greater than 100.
  • Examine examples in which percents less than 1 are converted to decimal numbers.
  • Examine examples in which percents greater than 100 are converted to decimal numbers.
  • Examine examples in which percents less than 1 are converted to fractions in lowest terms.
  • Examine examples in which percents greater than 100 are converted to fractions in lowest terms.
  • Convert a percent less than 1 to a decimal, and to a fraction in lowest terms.
  • Convert a percent greater than 100 to a decimal, and to a fraction in lowest terms.
  • Recognize that a percent less than one may include a leading zero.
  • Recognize that the leading zero reminds us that this number is between 0 and 1 percent. 
  • Apply conversion procedures to complete five interactive exercises.

Practice Exercises

The student will be able to:

  • Examine ten interactive exercises for all topics in this unit.
  • Determine which concepts and procedures are needed to complete each practice exercise.
  • Compute answers by applying appropriate formulas and procedures.
  • Self-assess knowledge and skills acquired from this unit.

Challenge Exercises

The student will be able to:

  • Evaluate ten interactive exercises with word problems for all topics in this unit.
  • Analyze each problem to identify the given information.
  • Identify the concepts and procedures needed to find the missing value.
  • Apply percent conversion concepts to complete each exercise.
  • Synthesize all information presented in this unit.

Solutions

The student will be able to:

  • Examine the solution for each exercise presented in this unit.
  • Identify which solutions need to be reviewed.
  • Compare solutions to completed exercises.
  • Identify and evaluate incorrect answers.
  • Amend and label original answers.
  • Identify areas of strength and weakness.
  • Decide which concepts, formulas and procedures need to be reviewed from this unit.