# Ratios and Percents

A ratio is a comparison of any two quantities. It can be written as a to b, a: b or a/b.

In Grade 5, we explored the connections between fractions and decimals. Here, in grade 6, we will learn how to connect fractions and decimals with ratios and percents. We can name a number as a fraction, ratio, percent or decimal. For example, the fraction 5/10 can be written as the percent 50%, the decimal 0.50 or the ratio 5:10.

In this lesson, we will learn part-to-part ratio, part-to-total ratio, how to identify the different types of ratios, ratios and fractions, simplify ratios, equivalent ratios, ratios and percents.

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More Lessons for Grade 6

## Part-to-Part Ratio

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak. For every vote candidate A received, candidate C received nearly three votes.

In this lesson you will learn to identify part-to-part ratios by using a diagram.
In this lesson you will learn to visualize a part-to-part ratio using pictures.

## Part-to-Total Ratio

In this lesson you will learn to identify part-to-total ratios by using a diagram.
In this lesson you will learn to visualize a part-to-total ratio using pictures.

## Identify Types of Ratios

In this lesson you will learn to identify all types of ratios (part-to-part, part-to-total, rate) by using a diagram.
In this lesson you will learn to classify ratios (part-to-part, part-to-total, rate) by using a decision tree.

In this lesson you will learn to write different ratios to describe a picture by thinking about parts and totals.
In this lesson you will learn to convert between part-to-part and part-to-total ratios by drawing a picture.

## Ratios and Fractions

In this lesson you will learn how ratios and fractions are similar and different by analyzing a picture.
In this lesson you will learn the differences between fractions and ratios by examining the definition of each using diagrams.
A part-to-part ratio is never be a fraction. A part-to-total ratio can be a fraction.

## Simplify Ratios

In this lesson you will learn to simplify ratios by finding patterns in a picture.
Eddie baked cookies with 4 cups of chocolate chips and 8 cups of sugar. What is the ratio of chocolate chips to sugar?
Express a ratio in the simplest form
In this lesson, we will learn how to write a ratio and express it in simplest form by counting and comparing objects.

## Equivalent Ratios

Equivalent ratios are similar to equivalent fractions.
Find equivalent ratios.
Find equivalent ratios using ratio tables.

## Ratios and Percents

Percent is a ratio. Percent should be viewed as a part-to-whole ratio that compares a number to a whole divided into 100 equal parts.

We can use a hundredths grid to represent percents by shading in the desired portion of the grid. E.g., to represent and model 25%, we could use a hundredths grid to shade 25 blocks out of 100. This will help students to understand and see the connection among fractions, decimals, percents and ratios as 25 blocks shaded out of 100 could be seen as 25/100 or 1/4, 25:100 or 1:4, 0.25 or 25%

In this lesson you will learn to define percents by using ratios.

In this lesson you will learn to visualize percents by using 10x10 grids.
In this lesson you will learn to compare ratios by using ratio tables and percents.
Susan correctly answered 21 out of 25 questions on her history quiz. On her science quiz she correctly answered 17 out of 20 questions. On which quiz did she do better?

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