Illustrative Math Alignment: Grade 8 Unit 3

In this Slide Show, learn how to graph quadratic functions in vertex form using sliders for the values of h and k. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, linear functions in slope-intercept form are graphed using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, learn how to graph quadratic functions in standard form using the TI-Nspire CX. Note: The download is a PPT file.

In this Slide Show, learn about the slope-intercept form.

Library of Instructional Resources

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This interactive crossword puzzle tests knowledge of key terms on the topic of linear functions.

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Use this Jeopardy-style math game to review linear functions. This Jeopardy game has a bank of hundreds of questions for thousands of unique game experiences. To see the complete set of Math Games and Puzzles, click on this link.

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In this drag-and-drop game, match the coordinates with the equation of the line that crosses these points. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match f(x) with f(a) for a given value of a. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match f(x) with f(a) for a given value of a. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match the linear function in slope-intercept form with its description. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match the linear function in standard form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match the linear equation in point-slope form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match the coordinates to the slope of the line that passes through the two points. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

Improve math skills and have fun at the same time with our selection of interactive games and activities that teach the concept of slope. These entertaining games make learning enjoyable and engaging, helping young learners understand this mathematical process better.

Use this math game to review linear functions in slope-intercept form.

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Use this math game to review Linear Functions. This is a Memory-style game in which students must remember the location of pairs of identical images.

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Use this math game to review graphs of linear functions in slope-intercept form. Students are shown a "treasure map" coordinate grid and several numbered "gems". Find the right combination of gems to identify the graph of the equation shown and score 50 points; otherwise, lose 20 points.

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

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

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

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

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

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Topic

Functions

Description

This clip art illustrates a linear function graph. Linear functions are the simplest type of function, represented by a straight line. They always pass the vertical line test, confirming their status as functions.

Linear functions are fundamental in mathematics and have widespread applications in various fields. They model constant rates of change and are often used as approximations for more complex relationships. The graph's slope represents the rate of change, while the y-intercept shows the initial value.

Topic

Exponential Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the exponential function y = 1 * 2x. The table lists coordinates for x values from -2 to 2, showing how the y values grow exponentially. The corresponding graph visually represents this rapid growth, with points plotted at (-2, 0.25), (-1, 0.5), (0, 1), (1, 2), and (2, 4).

Topic

Exponential Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = 1 * 2-0.3x. The image provides both a table of values and a graph plotted on a coordinate plane, with points labeled for x values ranging from -2 to 2. This representation helps students visualize the behavior of a decreasing exponential function with a fractional exponent.

Topic

Exponential Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the exponential function y = -0.4 * 2-0.6x. The image presents both a table of values and a graph plotted on a coordinate plane, with points labeled for x values from -2 to 2. This representation helps students visualize the behavior of a decreasing exponential function with a negative coefficient and a fractional exponent.

Topic

Exponential Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = -0.5 * 2-x. The image provides both a table of values and a graph plotted on a coordinate plane, with points labeled for x values ranging from -2 to 2. This representation helps students visualize the behavior of a decreasing exponential function with a negative coefficient and a negative exponent.

Topic

Exponential Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the exponential function y = -1 * 2-0.5x. The image presents both a table of values and a graph plotted on a coordinate plane, with points labeled for x values from -2 to 2. This representation helps students visualize the behavior of an increasing exponential function with a negative coefficient and a fractional negative exponent.

Topic

Exponential Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = 0.5 * 2x. The image provides both a table of values and a graph plotted on a coordinate plane, with points labeled for x values ranging from -2 to 2. This representation helps students visualize the behavior of an increasing exponential function with a fractional coefficient.

Topic

Exponential Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the exponential function y = 1 * 20.7x. The image presents both a table of values and a graph plotted on a coordinate plane, with points labeled for x values from -2 to 2. This representation helps students visualize the behavior of an increasing exponential function with a fractional positive exponent.

Topic

Exponential Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = 0.4 * 20.9x. The image provides both a table of values and a graph plotted on a Cartesian plane, with points labeled for x values ranging from -2 to 2. This representation helps students visualize the behavior of an increasing exponential function with a fractional coefficient and a fractional exponent.

Topic

Exponential Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the exponential function y = 0.6 * 2-x. The image presents both a table of values and a graph plotted on a coordinate plane, with points labeled for x values from -2 to 2. This representation helps students visualize the behavior of a decreasing exponential function with a fractional coefficient and a negative exponent.

Topic

Exponential Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = -1 * 20.8x. The image provides both a table of values and a graph plotted on a coordinate plane, with points labeled for x values ranging from -2 to 2. This representation helps students visualize the behavior of a decreasing exponential function with a negative coefficient and a fractional positive exponent.

Topic

Exponential Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the exponential function y = 1 * 10x. The image presents both a table of values and a graph plotted on a coordinate plane, with points labeled for x values from -2 to 2. This representation helps students visualize the behavior of an increasing exponential function with a base of 10.

Topic

Exponential Functions

Description

This example presents the exponential function y = 4 * 2x through a table of x-y coordinates and its corresponding graph. The table shows five key points: (-2, 1), (-1, 2), (0, 4), (1, 8), and (2, 16). These points are then plotted on a graph, demonstrating how the function grows exponentially as x increases.

Topic

Exponential Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = 4 * 10x. The image provides both a table of values and a graph plotted on a coordinate plane, with points labeled for x values ranging from -2 to 2. This representation helps students visualize the behavior of an increasing exponential function with a coefficient greater than 1 and a base of 10.

Topic

Exponential Functions

Description

This math example focuses on creating a table of x-y coordinates and graphing the exponential function y = 1 * 102x. The image displays both a graph and a corresponding table, illustrating the rapid growth of this function. The table includes key points such as (-2, 0.0001), (-1, 0.01), (0, 1), (1, 100), and (2, 10,000), demonstrating how quickly the y-values increase as x increases.

Topic

Exponential Functions

Description

This math example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = 3 * 103x. The image showcases both a graph and a corresponding table, highlighting the extremely rapid growth of this function. The table includes key points such as (-2, 3 * 10-6), (-1, 0.003), (0, 3), (1, 3000), and (2, 3 * 106), illustrating the dramatic increase in y-values as x increases.

Topic

Exponential Functions

Description

This math example focuses on creating a table of x-y coordinates and graphing the exponential function y = -1 * 10-x. The image displays both a graph and a corresponding table, illustrating the behavior of this negative exponential function. The table includes key points such as (-2, -100), (-1, -10), (0, -1), (1, -0.1), and (2, -0.01), demonstrating how the y-values approach zero as x increases.

Topic

Exponential Functions

Description

This math example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = -3 * 10-x. The image showcases both a graph and a corresponding table, highlighting the behavior of this negative exponential function with a coefficient. The table includes key points such as (-2, -300), (-1, -30), (0, -3), (1, -0.3), and (2, -0.03), illustrating how the y-values approach zero from the negative side as x increases.

Topic

Exponential Functions

Description

This math example focuses on creating a table of x-y coordinates and graphing the exponential function y = -1 * 10-2x. The image displays both a graph and a corresponding table, illustrating the behavior of this negative exponential function with a doubled exponent. The table includes key points such as (-2, -10000), (-1, -100), (0, -1), (1, -0.01), and (2, -1 * 10-4), demonstrating how rapidly the y-values approach zero from the negative side as x increases.

Topic

Exponential Functions

Description

This math example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = -3 * 10-2x. The image showcases both a graph and a corresponding table, highlighting the behavior of this negative exponential function with a coefficient and a doubled exponent. The table includes key points such as (-2, -30000), (-1, -300), (0, -3), (1, -0.03), and (2, -3 * 10-4), illustrating how rapidly the y-values approach zero from the negative side as x increases.

Topic

Exponential Functions

Description

This math example focuses on creating a table of x-y coordinates and graphing the exponential function y = -0.4 * 10x. The image displays both a graph and a corresponding table, illustrating the behavior of this negative exponential function with a fractional coefficient. The table includes key points such as (-2, -0.004), (-1, -0.04), (0, -0.4), (1, -4), and (2, -40), demonstrating how the y-values decrease rapidly in the negative direction as x increases.

Topic

Exponential Functions

Description

This math example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = 1 * 100.5x. The image showcases both a graph and a corresponding table, highlighting the behavior of this exponential function with a fractional exponent. The table includes key points such as (-2, 0.1), (-1, 0.316), (0, 1), (1, 3.162), and (2, 10), illustrating how the y-values increase at a slower rate compared to a standard exponential function.

Topic

Exponential Functions

Description

This math example focuses on creating a table of x-y coordinates and graphing the exponential function y = -0.5 * 10-0.3x. The image displays both a graph and a corresponding table, illustrating the behavior of this negative exponential function with a fractional coefficient and a negative fractional exponent. The table includes key points such as (-2, -1.99), (-1, -0.998), (0, -0.5), (1, -0.251), and (2, -0.126), demonstrating how the y-values approach zero from the negative side as x increases.

Topic

Exponential Functions

Description

This example showcases the exponential function y = 1 * 23x through a table of x-y coordinates and its corresponding graph. The table presents five key points: (-2, 0.02), (-1, 0.13), (0, 1), (1, 8), and (2, 64). These points are then plotted on a graph, illustrating the rapid growth of this function as x increases.

Topic

Exponential Functions

Description

This math example demonstrates the creation of a table of x-y coordinates and the graphing of the exponential function y = -0.6 * 10-x. The image showcases both a graph and a corresponding table, highlighting the behavior of this negative exponential function with a fractional coefficient and a negative exponent. The table includes key points such as (-2, -60), (-1, -6), (0, -0.6), (1, -0.06), and (2, -0.006), illustrating how rapidly the y-values approach zero from the negative side as x increases.

Topic

Exponential Functions

Description

This math example demonstrates the exponential function y = -1 * 10-0.7x in both tabular and graphical form. The table provides x-y coordinates for x values ranging from -2 to 2, showing how the function's output changes as x increases. The corresponding graph visually represents this relationship, illustrating the characteristic shape of an exponential decay function.

Topic

Exponential Functions

Description

This math example illustrates the exponential function y = -0.4 * 10x through both a table of values and a graph. The table presents x-y coordinates for x values from -2 to 2, demonstrating how the function's output changes rapidly as x increases. The accompanying graph provides a visual representation of this exponential growth function, highlighting its distinctive shape and behavior.

Topic

Exponential Functions

Description

This math example showcases the exponential function y = 1 * 100.6x through a table of x-y coordinates and a corresponding graph. The table lists values for x ranging from -2 to 2, illustrating how the function's output changes as x increases. The graph provides a visual representation of this exponential growth function, emphasizing its characteristic shape and behavior.

Topic

Exponential Functions

Description

This math example presents the exponential function y = 0.6 * 100.8x through both a table of x-y coordinates and a graph. The table provides values for x ranging from -2 to 2, demonstrating how the function's output changes as x increases. The accompanying graph offers a visual representation of this exponential growth function, highlighting its distinctive shape and behavior.