Use the following Media4Math resources with this Illustrative Math lesson.
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Video Transcript: Algebra Tiles: What Are Algebra Tiles? | Video Transcript: Algebra Tiles: What Are Algebra Tiles?
What Are Algebra Tiles?Numerical Models |
Algebra Tiles--Expressions and Equations |
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Video Transcript: Geometry Applications: 3D Geometry | Video Transcript: Geometry Applications: 3D Geometry
This is the transcript for the video of same title. Video contents: In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids. These stair-step structures provide a unique opportunity to also explore sequences and series. In the second application we look at the Shanghai Tower as an example of cylindrically shaped structures. |
3-Dimensional Figures and Applications of 3D Geometry |
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Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction | Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction
This is the transcript for the video of same title. Video contents: We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures. This is part of a collection of video transcript from the Geometry Applications video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
3-Dimensional Figures and Applications of 3D Geometry |
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Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids | Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids
This is the transcript for the video of same title. Video contents: Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series. |
3-Dimensional Figures and Applications of 3D Geometry |
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Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders | Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders
This is the transcript for the video of same title. Video contents: The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series. |
3-Dimensional Figures and Applications of 3D Geometry |
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Video Transcript: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders | Video Transcript: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring the Slope-Intercept form Using Sliders. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Slope-Intercept Form |
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Video Transcript: TI-Nspire Mini-Tutorial: Finding the Slope of a Line Connecting Two Points | Video Transcript: TI-Nspire Mini-Tutorial: Finding the Slope of a Line Connecting Two Points
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Finding the Slope of a Line Connecting Two Points. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Slope |
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Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality | Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphing a Linear Inequality. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Inequalities |
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Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders | Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphing a Linear Inequality Using Sliders. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Inequalities |
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Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Quadratic Function | Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Quadratic Function
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphing a Quadratic Function. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Graphs of Quadratic Functions |
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Video Tutorial: Algebra Tiles 1 | Video Tutorial: Algebra Tiles 1
TopicExpressions and Equations DescriptionThe video introduces algebra tiles as tactile and visual models used to represent integers, variables, variable expressions, and equations. It describes six types of tiles, including yellow tiles for positive integers, green tiles for variables and their squares, and red tiles for their negative counterparts. Key vocabulary includes positive integers, variables, x-squared, and negative quantities. The video explains how to use combinations of tiles to model algebraic numbers and expressions. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 10 | Video Tutorial: Algebra Tiles 10
TopicExpressions and Equations DescriptionThis video covers multi-step equations with multiple operations and variables on both sides. Examples include equations like 2x - 2 = x + 4 and 2x + 4 = x - 5. It demonstrates simplifying equations and isolating variables. Key vocabulary includes multi-step equations, operations, simplification, and variables. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 11 | Video Tutorial: Algebra Tiles 11
TopicExpressions and Equations DescriptionThis video explains how to model quadratic equations, such as x2 + 2x + 1 = 0, using algebra tiles. It demonstrates how x-squared tiles, x tiles, and integer tiles represent the equation visually. Key vocabulary includes quadratic equations, x-squared, and zero pairs. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 12 | Video Tutorial: Algebra Tiles 12
TopicExpressions and Equations DescriptionThe video covers the addition of integers using algebra tiles, including examples like 4 + 5 and 4 + (-5). It highlights concepts like zero pairs for simplifying expressions and arranging tiles to model sums. Key vocabulary includes addition, zero pairs, and integers. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 13 | Video Tutorial: Algebra Tiles 13
TopicExpressions and Equations DescriptionThis video demonstrates subtracting integers with algebra tiles, using methods like the take-away model and rewriting subtraction as addition. Examples include 6 - 3 and 3 - 6. Key vocabulary includes subtraction, zero pairs, and take-away model. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 14 | Video Tutorial: Algebra Tiles 14
TopicExpressions and Equations DescriptionThe video explains integer division using algebra tiles with examples like 6 ÷ 3 and -6 ÷ 3. It also covers scenarios with remainders, such as 7 ÷ 3. Key vocabulary includes division, remainders, and integers. Relevance: This video ties into the topic of Expressions and Equations by providing students with a hands-on approach to understanding the concepts of algebra. Algebra tiles serve as a visual and tactile way to model mathematical operations, helping students internalize these ideas effectively. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 15 | Video Tutorial: Algebra Tiles 15
TopicExpressions and Equations DescriptionThis video focuses on modeling integer multiplication with algebra tiles. Examples include 6 • 3, -6 • 3, and -6 • -3. Rectangular arrays of tiles are used to visualize products. Key vocabulary includes multiplication, rectangular arrays, and integers. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 16 | Video Tutorial: Algebra Tiles 16
TopicExpressions and Equations DescriptionThe video explains how to simplify variable expressions like (x + 3) + (x + 1) using algebra tiles. It demonstrates combining like terms and using zero pairs for simplification. Key vocabulary includes simplifying, variable expressions, and zero pairs. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 17 | Video Tutorial: Algebra Tiles 17
TopicExpressions and Equations DescriptionThis video explains solving one-step equations like x + 2 = 4 and x ÷ 2 = 4 with algebra tiles. It covers addition, subtraction, multiplication, and division operations. Key vocabulary includes one-step equations, zero pairs, and operations. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 19 | Video Tutorial: Algebra Tiles 19
TopicExpressions and Equations DescriptionThis video covers multi-step equations, such as 3x + 2 = x + 4, using algebra tiles. It demonstrates how to isolate variables through a multi-stage process involving addition and subtraction. Key vocabulary includes multi-step equations, isolation, and operations. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 2 | Video Tutorial: Algebra Tiles 2
TopicExpressions and Equations DescriptionThis video explains modeling positive integers using algebra tiles, focusing on the yellow tiles representing positive integers. Examples demonstrate different tile arrangements modeling integers like 6 and 8, emphasizing that arrangement does not affect the value represented. Key vocabulary includes positive integers, tiles, and arrangements. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 3 | Video Tutorial: Algebra Tiles 3
TopicExpressions and Equations DescriptionThis video covers the use of red tiles to model negative integers. It demonstrates counting tiles to represent integers like -10 and -8 and shows that arrangement does not alter the integer modeled. Key vocabulary includes negative integers, tiles, and arrangement. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 4 | Video Tutorial: Algebra Tiles 4
TopicExpressions and Equations DescriptionThis video introduces the concept of zero pairs, where opposite tiles, like +1 and -1, cancel each other out. It explains how to simplify tile groups using zero pairs and provides examples with both integers and variables. Key vocabulary includes zero pairs, integers, and simplification. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 5 | Video Tutorial: Algebra Tiles 5
TopicExpressions and Equations DescriptionThe video demonstrates using green tiles to model variables and their squares. Examples include expressions like 2x and 3x2. Negative variables and squares are also modeled using red tiles. Key vocabulary includes variables, x2, positive tiles, and negative tiles. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 6 | Video Tutorial: Algebra Tiles 6
TopicExpressions and Equations DescriptionThis video explains how to model expressions like 2x + 3 or -3x + 5 using algebra tiles. Examples include both positive and negative tiles for variables and integers, as well as more complex expressions with x-squared. Key vocabulary includes variable expressions, integers, x-squared, and tiles. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 7 | Video Tutorial: Algebra Tiles 7
TopicExpressions and Equations DescriptionThe video demonstrates modeling equations with algebra tiles, using a vertical bar to represent the equals sign. Examples include linear equations like x + 2 = -2 and quadratic equations like x-squared + x + 2 = 2. Key vocabulary includes equations, quadratic, integers, and variables. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Algebra Tiles 8 | Video Tutorial: Algebra Tiles 8
TopicExpressions and Equations DescriptionThis video focuses on modeling one-step equations using algebra tiles. Examples include equations involving addition, subtraction, multiplication, and division, such as x + 2 = 4 or x ÷ 9 = 10. Key vocabulary includes one-step equations, operations, integers, and variables. |
Algebra Tiles--Expressions and Equations |
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Video Tutorial: Properties of Equality | Video Tutorial: Properties of Equality
In this video, learn about the properties of equality that are the core of the equation-solving process. They'll learn about true properties for each of the four operations. Only subscribers to Media4Math Library can download these resources. |
Applications of Equations and Inequalities |
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Video Tutorial: What Are Identities? | Video Tutorial: What Are Identities?
In this video, students expand their knowledge of properties of equations with a focus on identities. Students will see how to use identities to solve equations, in particular certain quadratic equations. |
Applications of Equations and Inequalities and Quadratic Equations and Functions |
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Video Tutorial: What Is an Equation? | Video Tutorial: What Is an Equation?
In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations. |
Applications of Equations and Inequalities |
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VIDEO: 3D Geometry Animation: Antiprisms 2 | VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids
This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important. — CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these figures. Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms. |
3-Dimensional Figures |
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VIDEO: Algebra Applications: Inequalities, 1 | VIDEO: Algebra Applications: Inequalities, 1
TopicTopic: Inequalities |
Applications of Equations and Inequalities and Inequalities |
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VIDEO: Algebra Applications: Inequalities, 2 | VIDEO: Algebra Applications: Inequalities, 2
TopicTopic: Inequalities DescriptionThis video models an inequality to explain how floodgates in Venice prevent flooding during storms. The key concept is the activation threshold, where the water level exceeds a critical value. Vocabulary includes inequality, threshold, variable, and model. Using a TI-Nspire, the video demonstrates creating a random variable for water levels and a function to evaluate if floodgates should activate. It illustrates real-world applications in engineering and environmental management. |
Applications of Equations and Inequalities and Inequalities |
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VIDEO: Algebra Nspirations: Inequalities, 1 | VIDEO: Algebra Nspirations: Inequalities, 1
TopicInequalities DescriptionThis video introduces inequalities, contrasting them with equations, and discusses their properties and solution methods. Key concepts include graphing solutions, interval notation, and inequality symbols. Applications are contextualized through scenarios like semester grades and fitness ranges. Key terms include inequality, interval notation, and solution set. |
Applications of Equations and Inequalities and Inequalities |
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VIDEO: Algebra Nspirations: Inequalities, 2 | VIDEO: Algebra Nspirations: Inequalities, 2
TopicInequalities DescriptionIn this Math Lab explore compound inequalities on a number line. This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications. Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas. |
Applications of Equations and Inequalities and Inequalities |
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VIDEO: Algebra Nspirations: Inequalities, 3 | VIDEO: Algebra Nspirations: Inequalities, 3
TopicInequalities DescriptionBuilding on Part 1, this video explores systems of inequalities and their geometric representations. Applications include business profit modeling using linear inequalities. Key vocabulary includes half-planes, slope-intercept form, and solution regions. Real-world examples, like yoga studio budgeting, highlight practical uses of inequalities. |
Applications of Equations and Inequalities and Inequalities |
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VIDEO: Algebra Nspirations: Inequalities, 4 | VIDEO: Algebra Nspirations: Inequalities, 4
TopicInequalities DescriptionIn this Math Lab explore graphical solutions to linear inequalities. This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications. Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas. |
Applications of Equations and Inequalities and Inequalities |
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VIDEO: Geometry Applications: 3D Geometry | VIDEO: Geometry Applications: 3D Geometry
Topic3D Geometry |
3-Dimensional Figures and Applications of 3D Geometry |
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VIDEO: Geometry Applications: 3D Geometry, 1 | VIDEO: Geometry Applications: 3D Geometry, 1
Topic3D Geometry DescriptionThis segment introduces Platonic solids, including tetrahedron, cube, and dodecahedron, emphasizing their congruent edges, vertices, and angles. It connects these geometric figures to both natural and man-made structures, setting the stage for exploring 3D geometry applications. This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts. |
3-Dimensional Figures and Applications of 3D Geometry |
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VIDEO: Geometry Applications: 3D Geometry, 2 | VIDEO: Geometry Applications: 3D Geometry, 2
Topic3D Geometry DescriptionThis segment explores pyramids, particularly Mayan and Egyptian structures, to distinguish rectangular and square bases. It discusses the volume of truncated pyramids using proportional relationships and introduces the concept of tiered volume reduction through geometric sequences. This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts. |
3-Dimensional Figures, Pyramids and Applications of 3D Geometry |
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VIDEO: Geometry Applications: 3D Geometry, 3 | VIDEO: Geometry Applications: 3D Geometry, 3
Topic3D Geometry DescriptionThis segment examines cylinders, using the Shanghai Tower as a case study. It highlights how adjustments to height and radius affect volume and surface area, demonstrating these principles with geometric calculations and their architectural applications in energy efficiency. This video offers a comprehensive look at the mathematical concepts behind 3D Geometry. Students will gain insights into practical applications and theoretical understanding of the topic, enhancing their ability to visualize and apply these concepts. |
3-Dimensional Figures, Cylinders and Applications of 3D Geometry |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 68 | VIDEO: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders
In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a linear function in slope-intercept form. This video supports the TI-Nspire Clickpad and Touchpad. |
Slope-Intercept Form |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 72 | VIDEO: TI-Nspire Mini-Tutorial: Finding the Slope of a Line Connecting Two Points
In this TI Nspire tutorial, the Graph window is to find the slope of two points connected by a line. This video supports the TI-Nspire Clickpad and Touchpad. |
Slope |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 78 | VIDEO: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality
In this TI Nspire tutorial, the Graph window is used to graph a linear inequality. This video supports the TI-Nspire Clickpad and Touchpad. |
Inequalities |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 79 | VIDEO: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders
In this TI Nspire tutorial, the Graph window is used to graph a linear inequality in slope-intercept form using sliders. This video supports the TI-Nspire Clickpad and Touchpad. |
Inequalities |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 82 | VIDEO: TI-Nspire Mini-Tutorial: Graphing a Quadratic Inequality
In this TI Nspire tutorial for the TI-Nspire CAS, the Graph Window is used to graph quadratic inequalities. This video supports the TI-Nspire Clickpad and Touchpad. |
Inequalities |
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Worksheet: Solving Two-Step Division/Addition, Division/Subtraction Equations | Worksheet: Solving Two-Step Division/Addition, Division/Subtraction Equations
This is part of a collection of math worksheets on the topic of solving two-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Solving Two-Step Equations |
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Worksheet: Solving Two-Step Multiplication/Addition, Multiplication/Subtraction Equations | Worksheet: Solving Two-Step Multiplication/Addition, Multiplication/Subtraction Equations
This is part of a collection of math worksheets on the topic of solving two-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Solving Two-Step Equations |