# Comparing Bits & Pieces

## Unit Description

The goal of Comparing Bits and Pieces is to help students deepen their understanding of equivalent fractions and build on this understanding as they explore ratios. They will become skillful at interpreting the different forms of a rational number, at knowing which form is most appropriate for the solution of a given problem, and at writing and interpreting ratios.

## What is a ratio?

A ratio is a relationship between two numbers by division. Ratios can be represented with a colon (:), as a fraction, or with words (to, for every, per). For example, the ratio of girls to boys is 1 to 3, 1 girl for every 3 boys, or 1 girl per 3 boys.

A unit rate is a ratio that has a denominator of one because unit means one. Some examples of unit rates are miles per gallon, price per item, miles per hour, and words per minute.

## What are fractions?

Fraction are part of a whole. Fractions have a numerator and a denominator.

Fraction to Decimal: Create an equivalent fraction with 10 or 100 in the denominator. Read the fraction and write it as a decimal.

Fraction to Percent: Create an equivalent fraction with 100 in the denominator. Write the percent, the number in the numerator.

## What are decimals?

Decimals are part of a whole. Decimals are based on the number ten. Decimals include a decimal point.

Decimal to Fraction: Read the decimal and write the decimal as a fraction. The numerator is the number in the decimal and the denominator is the decimal place value.

Decimal to Percent: Scoop the decimal two places to the right. Write that number as your percent.

## What are percents?

Percents are part of a whole. Percents are ratios that are out of 100. Percents include a percent symbol %.

Percent to Decimal: Scoop the decimal two places to the left. Write your number as a decimal.

Percent to Fraction: Write the percent over 100.

## What are integers?

Integers are whole numbers and their opposites, including zero. Numbers to the right of zero on the number line are increasing positive integers. Numbers to the left of zero on the number line are decreasing negative integers.
What is an Integer? | YouTube Challenge | PBSMathClub