Closed Captioned Video: Ratios: What Are Ratios?

Topic

Ratios

Description

This video introduces the concept of ratios, which describe relationships between quantities. Key concepts include writing ratios in different forms (e.g., 2:3, 2/3, and 2 to 3) and simplifying ratios. It also covers part-to-part ratios and part-to-whole ratios using examples like sports balls and colored shapes. Applications include categorizing objects and exploring numerical relationships in sets.

This video introduces the concept of ratios, which describe relationships between quantities. Key concepts include writing ratios in different forms (e.g., 2:3, 2/3, and 2 to 3) and simplifying ratios. It also covers part-to-part ratios and part-to-whole ratios using examples like sports balls and colored shapes. Applications include categorizing objects and exploring numerical relationships in sets. It is relevant to the topic of Ratios as it provides foundational knowledge and real-world examples. Ratios are mathematical expressions that compare two quantities, helping students understand proportional relationships.

Teacher's Script: "Today, we will explore a new math concept called ratios. This video provides an engaging introduction by showing how ratios appear in everyday life and how to write them. Pay close attention to the examples as they will help you understand the connections between numbers in different contexts."

For a complete collection of videos related to Ratios click on this link: Video Tutorials: Ratios Collection.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. Let's look at an example.

Here is a collection of coins. The ratio of pennies to dimes can be expressed as a ratio, and a ratio can be written in three different, but equivalent ways.

When expressed as fractions, ratios can then be rewritten as fractions in simplest form.

For some groupings, you can write a ratio that includes three terms.

Ratios usually include similar types of objects. Here is a collection of different types of balls.

Rates are a special type of ratio. Rates involve different types of quantities. Here is an example of a rate involving cost and weight.