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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 17: Scaling One Dimension

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
VIDEO: Algebra Nspirations: Functions and Relations, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, 3

Topic

Functions and Relations

Description

Building 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: Linear Functions, Segment 1 VIDEO: Algebra Nspirations: Linear Functions, 1 VIDEO: Algebra Nspirations: Linear Functions, 1

Topic

Linear Functions

Description

This video explores linear functions, emphasizing their applications in motion contexts like airplane altitude. Key topics include slope, y-intercept, and function representation using tools like the TI-Nspire. Vocabulary includes linear function, slope-intercept form, and dependent variable. Applications include predicting motion scenarios.

Applications of Linear Functions
VIDEO: Algebra Nspirations: Linear Functions, Segment 2 VIDEO: Algebra Nspirations: Linear Functions, 2 VIDEO: Algebra Nspirations: Linear Functions, 2

Topic

Linear Functions

Description

In this Math Lab explore the slopes of staircases. Compare the slope of a staircase when walking it in a straight path and compare it to the slope of a staircase walked in a staggered path.

In this video, students explore the mathematical concept of linear functions, gaining a deeper understanding of its applications. The video emphasizes how this concept helps in problem-solving and real-world scenarios, bridging the gap between abstract mathematics and practical application.

Applications of Linear Functions
VIDEO: Algebra Nspirations: Linear Functions, Segment 3 VIDEO: Algebra Nspirations: Linear Functions, 3 VIDEO: Algebra Nspirations: Linear Functions, 3

Topic

Linear Functions

Description

This video applies linear functions to environmental data analysis, predicting carbon dioxide levels using regression models. Key terms include regression, scatter plot, and slope. Applications highlight global warming trends and their impact using predictive analytics.

Applications of Linear Functions
VIDEO: Algebra Nspirations: Linear Functions, Segment 4 VIDEO: Algebra Nspirations: Linear Functions, 4 VIDEO: Algebra Nspirations: Linear Functions, 4

Topic

Linear Functions

Description

In this Math Lab explore water pressure by comparing the height of a column of water and the length of the corresponding jet of water.

In this video, students explore the mathematical concept of linear functions, gaining a deeper understanding of its applications. The video emphasizes how this concept helps in problem-solving and real-world scenarios, bridging the gap between abstract mathematics and practical application.

Applications of Linear Functions
VIDEO: Geometry Applications: 3D Geometry VIDEO: Geometry Applications: 3D Geometry VIDEO: Geometry Applications: 3D Geometry

Topic

3D Geometry

3-Dimensional Figures and Applications of 3D Geometry
VIDEO: Geometry Applications: 3D Geometry, Segment 1: Introduction. VIDEO: Geometry Applications: 3D Geometry, 1 VIDEO: Geometry Applications: 3D Geometry, 1

Topic

3D Geometry

Description

This 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
VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids VIDEO: Geometry Applications: 3D Geometry, 2 VIDEO: Geometry Applications: 3D Geometry, 2

Topic

3D Geometry

Description

This 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
VIDEO: Geometry Applications: 3D Geometry, Segment 3: Cylinders VIDEO: Geometry Applications: 3D Geometry, 3 VIDEO: Geometry Applications: 3D Geometry, 3

Topic

3D Geometry

Description

This 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
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Absolute Value Functions VIDEO: Ti-Nspire Mini-Tutorial, Video 7 VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Absolute Value Functions

In this Nspire CX tutorial absolute functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. Note: This video does not include audio.

Special Functions
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Standard Form with Sliders VIDEO: Ti-Nspire Mini-Tutorial, Video 10 VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Standard Form with Sliders

In this TI-Nspire CX tutorial learn how to graph quadratic functions in standard form using sliders for the values of a, b, and c.

Graphs of Quadratic Functions
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Vertext Form with Sliders VIDEO: Ti-Nspire Mini-Tutorial, Video 11 VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Vertext Form with Sliders

In this TI-Nspire CX tutorial learn how to graph quadratic functions in vertex form using sliders for the values of h and k.

Graphs of Quadratic Functions
VIDEO: TI-Nspire CX Mini-Tutorial: Linear Functions and Their Inverses VIDEO: Ti-Nspire Mini-Tutorial, Video 12 VIDEO: TI-Nspire CX Mini-Tutorial: Linear Functions and Their Inverses

In this Nspire CX tutorial linear functions in slope-intercept form are graphed using sliders. Then the inverse functions are graphed. Their symmetry about the graph of y = x is explored.

Functions and Their Inverses
VIDEO: TI-Nspire CX Mini-Tutorial: Parallel and Perpendicular Lines VIDEO: Ti-Nspire Mini-Tutorial, Video 14 VIDEO: TI-Nspire CX Mini-Tutorial: Parallel and Perpendicular Lines

In this TI-Nspire CX tutorial explore the properties of parallel and perpendicular lines. Use a slider to define the slope and then graph parallel and perpendicular lines linked to this slider. Note: This video does not contain audio.

Parallel Lines and Perpendicular Lines
Worksheet: 2D-3D Shapes Worksheet: 2D-3D Shapes, Worksheet 4 Worksheet: 2D-3D Shapes, Worksheet 4

This is part of a collection of math worksheets on the topic of 2D and 3D geometry.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
3-Dimensional Figures
WorksheetThumbnail.jpg Worksheet: Crossword Puzzle--Parallel and Perpendicular Lines Worksheet: Crossword Puzzle--Parallel and Perpendicular Lines

This is part of a collection of math worksheets that are crossword puzzles of math vocabulary.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Parallel Lines and Perpendicular Lines
Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Slope-Intercept Form
Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Slope-Intercept Form
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Function

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Inequalities
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Inequalities
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Inequalities
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Inequalities