Illustrative Math Alignment: Grade 8 Unit 3

In this Slide Show, absolute value functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

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

In this Slide Show, 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.

In this Slide Show, create a template for determining the equation of a line given a point and the slope of the line. 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, we show how to construct the perpendicular bisectors of the three sides of a triangle to show they intersect at a single point. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

<h1>INSTRUCTIONAL RESOURCE: Tutorial: The Point-Slope Form</h1><p>In this Slide Show, learn about thepoint-slope form. </p><h3> This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, <a href="https://www.media4math.com/instructional-resources?field_la_display_tit… on this link.</u></strong></a> </h3>

<h3> Note: The download is a PPT file. </h3><

<h2> Library of Instructional Resources </h3>

This slide show shows the structure of a linear function. In particular, the slide show focuses on: How the parameters of a linear function affect its graph; analyzing a linear function based on its parameters.

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Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. 

Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

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

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

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

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This interactive crossword puzzle tests knowledge of key terms on the topic of the graphs of Parallel and Perpendicular Lines.

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This interactive crossword puzzle tests knowledge of key terms on the topic of the slope intercept form.

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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 the linear equation with the equation of a parallel line through a given point. 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 with the equation of a perpendicular line through a given point. 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

Quadratics

Description

This image features a vintage car in motion with a blurred background, emphasizing speed. It serves as an introduction to the series on speed and acceleration in linear and quadratic functions. The image visually represents the concept of speed through motion blur, making it relatable for students learning about linear functions. By using this image, teachers can engage students with real-world applications of mathematical concepts.

Topic

Quadratics

Description

This image depicts a yellow car alongside a table that shows time in seconds and distance in feet, illustrating a constant speed of 88 ft/sec (60 mph). The table provides a clear example of how linear functions can represent constant speeds. Teachers can use this image to demonstrate the relationship between time, distance, and speed, reinforcing the concept of constant rates within linear functions.

Topic

Quadratics

Description

This image is a variation of the previous image that highlights the common difference as the rate of speed. It builds on the previous example by emphasizing how the common difference (88 ft/sec) serves as the rate in linear equations. This visual representation helps students grasp how mathematical differences translate into real-world speeds.

Topic

Quadratics

Description

This image presents a table with time in seconds and distance in feet, accompanied by a graph illustrating a linear relationship between time and distance. The constant increase of 88 feet per second is depicted as the slope of the Distance-vs-Time linear function graph. This visual aids students in understanding how linear functions can model real-world speed scenarios.

Topic

Quadratics

Description

This image is a variation showing time and distance data with a graph that includes a dotted line labeled "Slower speed." The graph illustrates how different speeds affect the steepness of linear function graphs. This visual comparison helps students see how speed variations are represented mathematically.

Using math clip art allows students to visualize differences in speed through graphical representations, aiding comprehension of linear functions' applications.

Topic

Quadratics

Description

This image shows a graph similar to the previous one but with a steeper dotted line labeled "Faster speed." It visually demonstrates how increased speed results in a steeper slope on a linear function graph. This helps students understand the relationship between speed changes and their graphical representations.

The use of math clip art facilitates learning by providing clear visual examples that connect mathematical concepts to real-world scenarios.

Topic

Quadratics

Description

This image displays a table with time and distance data for two functions, f(x) representing constant speed, and g(x) representing changing speed. Two car icons illustrate these concepts visually. This comparison allows students to explore how different types of motion are modeled mathematically.

The use of math clip art aids in understanding complex concepts by providing relatable visual examples that highlight differences in mathematical functions.

Topic

Quadratics

Description

This image presents time-distance data for functions f(x) with constant increments, showing constant speed, while g(x) shows changing speed with a common ratio. The visual representation helps students understand different mathematical relationships through real-world examples.

The use of math clip art enhances comprehension by clearly illustrating abstract concepts like common differences versus common ratios in mathematical functions.

Topic

Quadratics

Description

This image features a graph comparing linear and non-linear functions, illustrating constant and changing speeds. The visual contrast between the two types of functions helps students understand how different speeds are modeled mathematically. The linear function represents constant speed, while the non-linear function shows acceleration or deceleration.

Math clip art like this is crucial for teaching because it provides visual clarity, helping students differentiate between linear and quadratic functions in real-world contexts.

Topic

Quadratics

Description

This image illustrates a constant speed through a graph that shows a straight line, representing uniform motion. It provides an opportunity for students to see how consistent motion is represented visually in a linear function. The consistent slope indicates constant speed, making it easier for students to connect mathematical concepts with practical applications.

Topic

Quadratics

Description

This image shows a graph and data for a constant speed scenario. The graph helps students understand how different speeds are represented in mathematical models, with linear sections indicating constant speed and curved sections showing acceleration or deceleration.

Math clip art like this is essential for teaching as it visually differentiates between linear and quadratic functions, providing clarity in understanding real-world applications.

Topic

Quadratics

Description

This image includes a Speed-vs-Time graph with an area under the curve highlighted to represent distance traveled over time. The calculation for distance (88 * 4 = 352) is shown, helping students visualize how to determine total distance using graphs.

The use of math clip art enhances learning by providing visual context for abstract concepts like integration in real-world scenarios.

Teacher's Script: "See the shaded area? It represents distance. How do we calculate it? Let's find out."

Topic

Quadratics

Description

This image shows a graph displaying two lines: a horizontal line for constant speed and a slanted line for changing speed. It illustrates how different speeds are represented graphically, helping students understand the concept of acceleration.

The use of math clip art provides clarity by visually differentiating between constant and changing speeds, aiding comprehension.

Teacher's Script: "Look at these lines. How do they show different speeds? Let's explore what these shapes tell us."

Topic

Quadratics

Description

This image includes a table with time (x) and speed (f(x) and g(x)). The graph shows constant and changing speeds, emphasizing the slope. The slope of a Speed-vs-Time graph is called acceleration, which is the rate that speed changes.

The use of math clip art helps students visualize how acceleration is represented graphically, aiding in understanding real-world applications.

Teacher's Script: "Notice the slope of these lines. How does it show acceleration? Let's explore what this means for speed changes."

Topic

Quadratics

Description

This image presents a table with time (x) and speed (g(x)). The graph emphasizes acceleration as the slope, with an equation showing g(x) = 20x. The equation of the linear function is the acceleration (a) times the amount of time.

The use of math clip art clarifies how equations relate to real-world motion, enhancing comprehension.

Teacher's Script: "See how the equation shows acceleration? What does the slope tell us about speed changes?"

Topic

Quadratics

Description

This image features a table with time versus speed data, along with a graph that explains finding distance by calculating the area under a triangular region. To find the distance traveled over a period, calculate the area of the triangular region.

The use of math clip art aids in understanding by connecting theoretical concepts with practical applications.

Teacher's Script: "Notice how we find distance using the triangle area. How does this connect to what we've learned about motion?"

Topic

Quadratics

Description

This image displays a graph with speed versus time, highlighting the equation of the line and the area under it. It emphasizes using these equations when acceleration starts from zero. If you know the acceleration rate of a car that starts from speed zero, use these equations for speed and distance traveled.

The use of math clip art provides visual clarity in understanding how equations model motion from rest.

Teacher's Script: "Notice these equations—how do they help us understand acceleration from rest?"

Topic

Quadratics

Description

This image shows a graph with speed on the y-axis and time on the x-axis. The equations for speed and distance traveled are given as s = a⋅t and d = 1/2at2. The graph illustrates how speed increases linearly, while distance traveled follows a non-linear path.

Math clip art like this helps students understand the difference between linear and quadratic relationships in real-world contexts.