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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 19: Estimating a Hemisphere

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
VideoTutorial--LinearFunctions6.jpg Video Tutorial: Linear Functions, Video 6 Video Tutorial: Linear Functions: Negative Slope, Zero y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VIDEO:  Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling

Topic

Linear Functions

Description

Applies linear functions to cycling, calculating hill grades and distances using slope formulas and graphing.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Special Functions and Applications of Linear Functions
VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids 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
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Topic

Linear Functions

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction. VIDEO: Algebra Applications: Linear Functions, 1 VIDEO: Algebra Applications: Linear Functions, 1

Topic

Linear Functions

Description

Introduces linear functions with examples like staircases, explaining slope, intercepts, and applications in real-world scenarios.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration. VIDEO: Algebra Applications: Linear Functions, 3 VIDEO: Algebra Applications: Linear Functions, 3

Topic

Linear Functions

Description

Uses linear regression to analyze US oil consumption trends, projecting future usage and potential impact of Alaskan oil production.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise. VIDEO: Algebra Applications: Linear Functions, 4 VIDEO: Algebra Applications: Linear Functions, 4

Topic

Linear Functions

Description

Models maximum heart rate during aerobic exercise with linear equations, creating exercise charts for various age groups.

Linear functions are fundamental in understanding relationships where one quantity depends linearly on another. This video provides clear examples and context that make the topic relevant and engaging. Linear equations often represent real-world scenarios, from economic trends to scientific measurements, helping students relate the math to everyday life.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Nspirations: Linear Functions, Segment 1 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, Segment 2 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, Segment 3 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, Segment 4 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: 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: 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
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Linear Functions VIDEO: Ti-Nspire Mini-Tutorial, Video 9 VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Linear Functions

In this Nspire CX tutorial linear functions are graphed.

Graphs of Linear Functions
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
WORKSHEET, Word Search Puzzle--Linear Functions, Puzzle 1 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 1 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 1

Solve a word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
WORKSHEET, Word Search Puzzle--Linear Functions, Puzzle 2 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 2 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 2

Solve a word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
WORKSHEET, Word Search Puzzle--Linear Functions, Puzzle 3 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 3 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 3

Solve a word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
WORKSHEET, Word Search Puzzle--Linear Functions, Puzzle 4 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 4 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 4

Solve a word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
WORKSHEET, Word Search Puzzle--Linear Functions, Puzzle 5 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 5 WORKSHEET: Word Search Puzzle--Linear Functions, Puzzle 5

Solve a word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions