In this real-world application of ratios, students will learn what a ratio is, including ratios with three terms. They will see different ways of writing ratios, including fractions in simplest form. 

a:b     $\frac{a}{b}$     a to b

Two short videos introduce the concept of ratios and each video includes real-world examples of ratios. Then several formative assessments are used to test for understanding.  

Students then look at the application of ratios to the mixing of concrete at a construction site, starting with a video then followed by an assessment.

This lesson can be assigned to individual students or teams of students. The lesson can be completed in about 20 minutes. 

Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river’s length to its straight-line distance tell us? In this segment the geological forces that account for a river’s motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-variables-and-equations-segment-3-river-ratios

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-river-ratios

In this Brief Review, the addition and subtraction of rational numbers is explored. Note: The download is an MP4 file.

In this Brief Review, applications of rational numbers are explored. Note: The download is an MP4 file.

In this Brief Review, division of rational numbers is explored. Note: The download is an MP4 file.

In this Brief Review, multiplying rational numbers is explored. Note: The download is an MP4 file.

In this Brief Review, rational numbers are defined. Note: The download is an MP4 file.

Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river’s length to its straight-line distance tell us? In this segment the geological forces that account for a river’s motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Ratios: Fraction-Percent Conversion. In this video learn how to convert percents to fractions to simplify percent operations. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Adding Rational Numbers. In this video students learn to add rational numbers. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Comparing and Ordering Rational Numbers. In this video students learn how to compare and order rational numbers using various techniques. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Dividing Rational Numbers. In this video students learn to divide rational numbers. A Video Transcript is available for this tutorial at this link: Link Note: The download is an MP4 file. Related Resources To see the complete collection of Videos on this topic, click on this link: https://bit.ly/3eZIU07

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Multiplying Rational Numbers. In this video, students learn to multiply rational numbers. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Numerical Expressions with Rational Numbers. In this video, students simplify various numerical expressions that use rational numbers. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Rational Numbers and Absolute Value. In this video, students continue their exploration of rational numbers by investigating absolute value. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Rational Numbers and Exponents. In this video, students explore the use of rational numbers as exponents with different expressions. A Video Transcript is available for this tutorial at this link: Link Note: The download is an MP4 file. Related Resources To see the complete collection of Videos on this topic, click on this link: https://bit.ly/3eZIU07

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Rational Numbers and Irrational Numbers. In this video, students learn to distinguish rational numbers from irrational numbers. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Rational Numbers on a Number Line. In this video, students explore rational numbers on a number line. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Rational Numbers on the Cartesian Coordinate System. In this video, students learn to graph rational-number-based coordinates on a Cartesian Coordinate plane. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Subtracting Rational Numbers. In this video, students learn to subtract rational numbers. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers. In this video, students simplify various variable expressions that use rational numbers. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Rational Numbers: What Are Rational Numbers? In this video, students learn the basic definition of rational numbers and look at real-world applications of them. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Ratios and Proportions: Scale Drawings. In this video, we look at the properties of similar figures and use proportions to find lengths of corresponding sides. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Ratios and Proportions: Solving Proportions. In this video, we solve proportion problems algebraically. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Video Tutorial: Ratios and Proportions: What are Proportions?. In this video, we solve proportion problems using equivalent ratios. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link