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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

Linear Expressions, Equations, and Functions

Linear Expressions
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

Linear Expressions, Equations, and Functions

Linear Expressions
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, Segment 1: Introduction.

Linear Expressions, Equations, and Functions

Linear Expressions
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, Segment 3: Oil Exploration.

Linear Expressions, Equations, and Functions

Linear Expressions
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, Segment 4: Exercise.

Linear Expressions, Equations, and Functions

Linear Expressions
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

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.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

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.

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, Segment 1: Introduction.

We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

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 and Applications of 3D Geometry
VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids VIDEO: Geometry Applications: 3D Geometry, 2 VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids

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.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

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, 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, Segment 3: Cylinders

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.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

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, 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