# Understanding Percent

**Learning Objectives** for all Understanding Percent 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.