In this episode of Algebra Applications, two real-world explorations are developed: Biology. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder. Geology. Why do rivers meander instead of traveling in a straight line? In this segment the geological forces that account for a river’s motion are explained.

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

An overview of the key topics to be covered in the video.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-variables-and-equations-segment-1-introduction

Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-variables-and-equations-segment-2-honey-production

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

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

Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course – linear and quadratic – in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Variables, equations, functions, formulas, linear functions and equations, quadratic functions and equations, solving equations graphically.

This video includes a video transcript: https://media4math.com/library/video-transcript-algebra-nspirations-variables-and-equations

This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-nspirations-teachers-guide-variables-and-equations

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-variables-and-equations

In this Investigation we get a historical overview of equations.

This video is Segment 1 of a 2 segment series related to Variables and Equations. To access Variables and Equations, Segment 2, click the following link: 

• https://www.media4math.com/library/algebra-nspirations-variables-and-equations-segment-2

A Video Transcript for Variables and Equations, Segments 1 and 2 is available via the following link: 

• https://www.media4math.com/library/video-transcript-algebra-nspirations-variables-and-equations-part-1

 

In this Math Lab a hands-on activity has students comparing the diameter of a circle and its circumference.

This video is Segment 2 of a 2 segment series related to Variables and Equations. To access Variables and Equations, Segment 1, click the following link: 

• https://www.media4math.com/library/algebra-nspirations-variables-and-equations-segment-1

A Video Transcript for Variables and Equations, Segments 1 and 2 is available via the following link: 

• https://www.media4math.com/library/video-transcript-algebra-nspirations-variables-and-equations-part-1

In this Investigation we solve linear and quadratic equations.

This video is Segment 3 of a 4 segment series related to Variables and Equations. Segments 3 and 4 are grouped together. To access Variables and Equations, Segment 4, click the following link:

• https://www.media4math.com/library/algebra-nspirations-variables-and-equations-segment-4

A Video Transcript for Variables and Equations, Segments 3 and 4 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-variables-and-equations-part-2

In this Math Lab we look at an area model for expanding the product of two binomials.

This video is Segment 4 of a 4 segment series related to Variables and Equations. Segments 3 and 4 are grouped together. To access Variables and Equations, Segment 3, click the following link:

• https://www.media4math.com/library/algebra-nspirations-variables-and-equations-segment-3

A Video Transcript for Variables and Equations, Segments 3 and 4 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-variables-and-equations-part-2

In this video segment, get an overview of variables and equations, along with the evolution of algebraic notation.

Video Tutorial: One-Step Equations: Addition. In this video, get an overview of one-step equations and how to solve them. In particular, look at one-step addition equations.

A Video Transcript is available for this tutorial at this link: Link

Note: The download is an MP4 file.

Related Resources

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Video Tutorial: One-Step Equations: Subtraction. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step subtraction equations.

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/2ARwUPl

Video Tutorial: One-Step Equations: Multiplication. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step multiplication equations.

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/2ARwUPl

Video Tutorial: One-Step Equations: Division. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step division equations.

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/2ARwUPl

In this Brief Review, addition and subtraction of numerical expressions are explored. Note: The download is an MP4 file.

In this Brief Review, multiplication of numerical expressions is explored. Note: The download is an MP4 file.

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

In this Brief Review, order of operations is explored. Note: The download is an MP4 file.

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

In this Brief Review, 11 worked-out examples show how to use of order of operations. Note: The download is an MP4 file.

In this Brief Review, a variable is defined. Note: The download is an MP4 file.

In this Brief Review, we look at how to represent variables algebraically. Note: The download is an MP4 file.

In this Brief Review, we look at how to represent variables with algebra tiles. Note: The download is an MP4 file.

In this Brief Review, we define a variable expression. Note: The download is an MP4 file.

In this Brief Review, we explore how to evaluate variable expressions. Note: The download is an MP4 file.