# Content Showcase: Video Tutorial Library

## Media4Math's Video Tutorial Library is a collection of videos on key topics in pre-algebra and algebra. Each video includes several worked-out examples that clearly explain the key concept.

### This is a growing collection of resources, so keep coming back!

Title Thumbnail Image Description Curriculum Topics

## VIDEO: Geometry Applications: Triangles ### In this program we explore the properties of triangle. We do this in the context of two real-world applications. In the first, we explore the triangular trusses in the Eiffel Tower and in the process learn about key properties of triangles. In the second application, we look at right-triangle-shaped sails on sail boat and why these are the ideal shape for efficient sailing. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-triangles This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-triangles

Applications of Triangles, Definition of a Triangle

## VIDEO: Geometry Applications: Triangles, Segment 1: Introduction ### The Bank of China building in Hong Kong is a dramatic example of triangular support. The notion of triangular trusses is introduced, along with the key concepts developed in the rest of the program. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-triangles-segment-1-introduction

Applications of Triangles, Definition of a Triangle

## VIDEO: Geometry Applications: Triangles, Segment 2: Triangles ### The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-triangles-segment-2-triangles

Applications of Triangles, Definition of a Triangle

## VIDEO: Geometry Applications: Triangles, Segment 3: Right Triangles ### The ancient port city of Corinth in Greece allows us to explore the evolution of sailing. The shapes of sails went from rectangular to triangular. The use of right-triangle-shaped sails changed the nature of sailing. Becoming less reliant on oarsmen and being able to sail under nearly any wind conditions, the sailboat made the conquest of the seas possible. We explore the properties of right triangles that make such sails ideal. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-triangles-segment-3-right-triangles A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-geometry-applications-right-triangles

Applications of Triangles, Definition of a Triangle

## VIDEO: Algebra Nspirations: Data Analysis and Probability ### What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-data-analysis-and-probability A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-data-analysis

Data Analysis, Data Gathering

## VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 1 ### In this Investigation we explore uncertainty and randomness. This video is Segment 1 of a 4 segment series related to Data Analysis and Probability. Segments 1 and 2 are grouped together. To access Data Analysis and Probability, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-data-analysis-and-probability-segment-2 A Video Transcript for Data Analysis and Probability, Segments 1 and 2 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-data-analysis-and-probability-part-1

Data Analysis, Data Gathering

## VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 2 ### In this Math Lab a hands-on probability activity involving coins is explored. This video is Segment 1 of a 4 segment series related to Data Analysis and Probability. Segments 1 and 2 are grouped together. To access Data Analysis and Probability, Segment 1, click the following link: • https://www.media4math.com/library/algebra-nspirations-data-analysis-and-probability-segment-1 A Video Transcript for Data Analysis and Probability, Segments 1 and 2 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-data-analysis-and-probability-part-1

Data Analysis, Data Gathering

## VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 3 ### In this Investigation we look at real-world data involving endangered wolf populations. This video is Segment 3 of a 4 segment series related to Data Analysis and Probability. Segments 3 and 4 are grouped together. To access Data Analysis and Probability, Segment 4, click the following link: • https://www.media4math.com/library/algebra-nspirations-data-analysis-and-probability-segment-4 A Video Transcript for Data Analysis and Probability, Segments 3 and 4 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-data-analysis-and-probability-part-2

Data Analysis, Data Gathering

## VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 4 ### In this Math Lab we explore population data for Texas. This video is Segment 3 of a 4 segment series related to Data Analysis and Probability. Segments 3 and 4 are grouped together. To access Data Analysis and Probability, Segment 3, click the following link: • https://www.media4math.com/library/algebra-nspirations-data-analysis-and-probability-segment-3 A Video Transcript for Data Analysis and Probability, Segments 3 and 4 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-data-analysis-and-probability-part-2

Data Analysis, Data Gathering

## VIDEO: Algebra Nspirations: Variables and Equations ### 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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Algebra Nspirations: Variables and Equations, Segment 1 ### 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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Algebra Nspirations: Variables and Equations, Segment 2 ### 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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Algebra Nspirations: Variables and Equations, Segment 3 ### 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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Algebra Nspirations: Variables and Equations, Segment 4 ### 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

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Overview of Variables and Equations ### In this video segment, get an overview of variables and equations, along with the evolution of algebraic notation.

Variable Expressions, Applications of Equations and Inequalities, Variables and Unknowns

## VIDEO: Algebra Nspirations: Exponents and Exponential Functions ### Almost everyone has an intuitive understanding that exponential growth means rapid growth. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video builds on students’ intuitive notions, explores exponential notation, and analyzes properties of exponential function graphs, with the help of TI-Nspire features such as sliders and graph transformations. Using exponential functions to model finance applications and a Newton’s law of cooling problem further help students build a solid foundation for these fundamental algebraic concepts. Concepts explored: functions, exponents, exponential functions. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-exponents-and-exponential-functions A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-exponential-functions

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Nspirations: Exponents and Exponential Functions, Segment 1 ### In this Investigation we explore the properties of exponents and exponential graphs. This video is Segment 1 of a 4 segment series related to Exponents and Exponential Functions. Segments 1 and 2 are grouped together. To access Exponents and Exponential Functions, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-exponents-and-exponential-functions-segment-2 A Video Transcript for Exponents and Exponential Functions, Segments 1 and 2 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-exponents-and-exponential-functions-part-1

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Nspirations: Exponents and Exponential Functions, Segment 2 ### In this Math Lab students compare the graphs of quadratics and exponential graph of base 2. This video is Segment 1 of a 4 segment series related to Exponents and Exponential Functions. Segments 1 and 2 are grouped together. To access Exponents and Exponential Functions, Segment 1, click the following link: • https://www.media4math.com/library/algebra-nspirations-exponents-and-exponential-functions-segment-1 A Video Transcript for Exponents and Exponential Functions, Segments 1 and 2 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-exponents-and-exponential-functions-part-1

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Nspirations: Exponents and Exponential Functions, Segment 3 ### In this Investigation we look at exponential growth and decay models. This video is Segment 3 of a 4 segment series related to Exponents and Exponential Functions. Segments 3 and 4 are grouped together. To access Exponents and Exponential Functions, Segment 4, click the following link: • https://www.media4math.com/library/algebra-nspirations-exponents-and-exponential-functions-segment-4 A Video Transcript for Exponents and Exponential Functions, Segments 3 and 4 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-exponents-and-exponential-functions-part-2

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Nspirations: Exponents and Exponential Functions, Segment 4 ### In this Math Lab we look at cooling curves. This video is Segment 4 of a 4 segment series related to Exponents and Exponential Functions. Segments 3 and 4 are grouped together. To access Exponents and Exponential Functions, Segment 3, click the following link: • https://www.media4math.com/library/algebra-nspirations-exponents-and-exponential-functions-segment-3 A Video Transcript for Exponents and Exponential Functions, Segments 3 and 4 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-exponents-and-exponential-functions-part-2

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Nspirations: Functions and Relations ### Functions are relationships between quantities that change. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video explores the definition of a function, its vocabulary and notations, and distinguishes the concept of function from a general relation. Multiple representations of functions are provided using the TI-Nspire, while dynamic visuals and scenarios put them into real-world contexts. Concepts explored: functions, relations, equations, quadratic functions, linear functions, multiple representations. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-nspirations-teachers-guide-functions-and-relations This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-functions-and-relations

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Nspirations: Functions and Relations, Segment 1 ### In this Investigation we explore the definition of a Relation. This video is Segment 1 of a 4 segment series related to Functions and Relations. Segments 1 and 2 are grouped together. To access Functions and Relations, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-2 A Video Transcript for Functions and Relations, Segments 1 and 2 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations-part-1

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Nspirations: Functions and Relations, Segment 2 ### In this Math Lab we look at different mappings to define functions and relations. This video is Segment 1 of a 4 segment series related to Functions and Relations. Segments 1 and 2 are grouped together. To access Functions and Relations, Segment 1, click the following link: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-1 A Video Transcript for Functions and Relations, Segments 1 and 2 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations-part-1

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Nspirations: Functions and Relations, Segment 3 ### In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations. Segments 3 and 4 are grouped together. To access Functions and Relations, Segment 4, click the following link: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-4 A Video Transcript for Functions and Relations, Segments 3 and 4 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations-part-2

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Nspirations: Functions and Relations, Segment 4 ### In this Math Lab a hands-on toothpick activity is used to generate a non-linear function. This video is Segment 4 of a 4 segment series related to Functions and Relations. Segments 3 and 4 are grouped together. To access Functions and Relations, Segment 3, click the following link: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-3 A Video Transcript for Functions and Relations, Segments 3 and 4 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations-part-2

Applications of Functions and Relations, Conic Sections, Relations and Functions