Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topics |
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VIDEO: Algebra Nspirations: Functions and Relations, 1 | VIDEO: Algebra Nspirations: Functions and Relations, 1
TopicFunctions and Relations DescriptionThis section defines relations and functions, emphasizing domain, range, and dependent versus independent variables. Using examples like USB flash drive pricing, it illustrates tabular, graphical, and mapping representations. Key concepts include ordered pairs, Cartesian plane, and scatter plots. The TI-Nspire is utilized to model relationships and introduce functional analysis. |
Applications of Functions and Relations and Relations and Functions | |
VIDEO: Algebra Nspirations: Functions and Relations, 2 | VIDEO: Algebra Nspirations: Functions and Relations, 2
TopicFunctions and Relations DescriptionIn this Math Lab explore domain-to-range mappings for functions and relations. Relevance to the Topic: This video is an essential resource for understanding Functions and Relations. By exploring the concepts and examples in this video, students will gain insights into the practical applications and theoretical underpinnings of Functions and Relations. It builds a strong foundation for future learning. |
Applications of Functions and Relations, Conic Sections and Relations and Functions | |
VIDEO: Algebra Nspirations: Functions and Relations, 3 | VIDEO: Algebra Nspirations: Functions and Relations, 3
TopicFunctions and Relations DescriptionBuilding on the prior section, this video elaborates on function rules and notation, graphing diverse functions such as linear, quadratic, and step functions. Key terms include domain, range, and vertical line test. Applications highlight real-world uses like analyzing study hours and grades. Technology aids in demonstrating increasing and decreasing functions visually. |
Applications of Functions and Relations, Relations and Functions and Geometric Constructions with Circles | |
VIDEO: Algebra Nspirations: Functions and Relations, 4 | VIDEO: Algebra Nspirations: Functions and Relations, 4
TopicFunctions and Relations DescriptionIn this Math Lab use toothpicks to create unit squares and square arrays. Explore the functional relationship between length of the side of the square and the total number of toothpicks. |
Applications of Functions and Relations, Conic Sections and Relations and Functions | |
VIDEO: Algebra Nspirations: Inequalities | VIDEO: Algebra Nspirations: Inequalities
Used in just about any industry, inequalities, like equations, are fundamental building blocks of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video explores inequalities--concepts, properties, solutions, and notations--connects them to real-world contexts, and uses the TI-Nspire to make the algebra meaningful. The focus of this program is on linear inequalities in one and two variables. Concepts explored: Equations, inequalities. |
Applications of Equations and Inequalities and Inequalities | |
VIDEO: Algebra Nspirations: Inequalities, 1 | VIDEO: Algebra Nspirations: Inequalities, Segment 1
In this Investigation we explore linear inequalities in one variable. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Inequalities. |
Applications of Equations and Inequalities and Inequalities | |
VIDEO: Algebra Nspirations: Inequalities, 2 | VIDEO: Algebra Nspirations: Inequalities, Segment 2
In this Math Lab we look at compound inequalities. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Inequalities. |
Applications of Equations and Inequalities and Inequalities | |
VIDEO: Algebra Nspirations: Inequalities, 3 | VIDEO: Algebra Nspirations: Inequalities, Segment 3
In this Investigation we look at linear inequalities in two variables. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities. |
Applications of Equations and Inequalities and Inequalities | |
VIDEO: Algebra Nspirations: Inequalities, 4 | VIDEO: Algebra Nspirations: Inequalities, Segment 4
In this Math Lab we look at graphical solutions to linear inequalities. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Inequalities. |
Applications of Equations and Inequalities and Inequalities | |
VIDEO: Algebra Nspirations: Linear Functions | VIDEO: Algebra Nspirations: Linear Functions
In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 1 | VIDEO: Algebra Nspirations: Linear Functions, Segment 1
In this Investigation we look at linear models for objects moving at a constant speed. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Linear Functions. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 2 | VIDEO: Algebra Nspirations: Linear Functions, Segment 2
In this Math Lab we explore slope in the context of the steepness of staircases. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Linear Functions. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 3 | VIDEO: Algebra Nspirations: Linear Functions, Segment 3
In this Investigation we look at a linear regression for carbon dioxide emission data. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Linear Functions. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 4 | VIDEO: Algebra Nspirations: Linear Functions, Segment 4
In this Math Lab we explore a linear model through a data-gathering activity. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Linear Functions. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Logarithms | VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions
This video begins with the historical invention of logarithms that forever changed the world of computation‚ until the advent of calculators more than 300 years later. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it proceeds to derive the properties of logs, examine logarithmic functions and graphs, and finally explore the well-known Richter logarithmic scale. Concepts explored: functions and inverse functions, logarithms, exponential functions, logarithmic functions. |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Logarithms, 1 | VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 1
In this Investigation we look at properties of logarithms. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Logarithms, 2 | VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 2
In this Math Lab we look at patterns among different logarithm calculations. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Logarithms, 3 | VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 3
In this Investigation we look at logarithmic functions and graphs. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Logarithms, 4 | VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 4
In this Math Lab we look at an application of logarithms involving astronomy. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. |
Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations and Graphs of Exponential and Logarithmic Functions | |
VIDEO: Algebra Nspirations: Quadratic Functions | VIDEO: Algebra Nspirations: Quadratic Functions
In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. The teacher's guide provides all keystrokes shown in the video, as well as providing support for TI-84 users. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically. |
Applications of Quadratic Functions and Graphs of Quadratic Functions | |
VIDEO: Algebra Nspirations: Quadratic Functions, 1 | VIDEO: Algebra Nspirations: Quadratic Functions, Segment 1
In this Investigation we explore quadratic functions and their graphs. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Quadratic Functions. |
Applications of Quadratic Functions and Graphs of Quadratic Functions | |
VIDEO: Algebra Nspirations: Quadratic Functions, 2 | VIDEO: Algebra Nspirations: Quadratic Functions, Segment 2
In this Math Lab we explore how changing values of b affect the graph of a quadratic function. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Quadratic Functions. |
Applications of Quadratic Functions and Graphs of Quadratic Functions | |
VIDEO: Algebra Nspirations: Quadratic Functions, 3 | VIDEO: Algebra Nspirations: Quadratic Functions, Segment 3
In this Investigation we use a quadratic model to explore the path of a rocket into space. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities. |
Applications of Quadratic Functions and Graphs of Quadratic Functions | |
VIDEO: Algebra Nspirations: Quadratic Functions, 4 | VIDEO: Algebra Nspirations: Quadratic Functions, Segment 4
In this Math Lab we look at a quadratic model for a rocket descending toward the Moon's surface. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Inequalities. |
Applications of Quadratic Functions and Graphs of Quadratic Functions | |
VIDEO: Algebra Nspirations: Rational Functions | VIDEO: Algebra Nspirations: Rational Functions and Expressions
After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Nspirations: Rational Functions, 1 | VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 1
In this Investigation we look at an application of rational functions: Boyle's Law. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 1 and 2 are grouped together. |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Nspirations: Rational Functions, 2 | VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 2
In this Math Lab we explore rational and irrational numbers. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Nspirations: Rational Functions, 3 | VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 3
In this Investigation we look at graphs of rational functions. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Nspirations: Rational Functions, 4 | VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 4
In this Math Lab we look at equivalent rational functions. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. |
Rational Expressions and Rational Functions and Equations | |
VIDEO: Algebra Nspirations: Solving Systems of Equations | VIDEO: Algebra Nspirations: Solving Systems of Equations
Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems. |
Applications of Linear Systems and Solving Systems of Equations | |
VIDEO: Algebra Nspirations: Solving Systems of Equations, 1 | VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1
In this Investigation we solve a linear system. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. |
Applications of Linear Systems and Solving Systems of Equations | |
VIDEO: Algebra Nspirations: Solving Systems of Equations, 2 | VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 2
In this Math Lab, we explore the break-even point for a business. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. |
Applications of Linear Systems and Solving Systems of Equations | |
VIDEO: Algebra Nspirations: Solving Systems of Equations, 3 | VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 3
In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. |
Applications of Linear Systems and Solving Systems of Equations | |
VIDEO: Algebra Nspirations: Solving Systems of Equations, 4 | VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4
In this Math Lab we explore the graphical solution of a nonlinear system. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. |
Applications of Linear Systems and Solving Systems of Equations | |
Video Tutorial: Ratios, Video 1 | Video Tutorial: Ratios: What Are Ratios?
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 2 | Video Tutorial: Ratios: Ratios with Three Items
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 3 | Video Tutorial: Ratios: Fractional Ratios
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 4 | Video Tutorial: Ratios: Ratios and Fractions
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 5 | Video Tutorial: Ratios: Visual Models for Ratios
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 6 | Video Tutorial: Ratios: Numerical Models for Ratios
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 7 | Video Tutorial: Ratios: Equivalent Ratios
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 8 | Video Tutorial: Ratios: Rates This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 9 | Video Tutorial: Ratios: Unit Rates
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 10 | Video Tutorial: Ratios and Proportions: What are Proportions?
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 11 | Video Tutorial: Ratios and Proportions: Solving Proportions
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 12 | Video Tutorial: Ratios and Proportions: Scale Drawings
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 13 | Video Tutorial: Ratios and Rates: Rates from Data
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 14 | Video Tutorial: Ratios and Rates: Rates and Slopes of Lines
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 15 | Video Tutorial: Ratios and Rates: Converting Measurement Units
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates | |
Video Tutorial: Ratios, Video 16 | Video Tutorial: Ratios, Proportions, and Percents: Calculating Percents
This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos. What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection. Let's look at an example. |
Ratios and Rates |