Illustrative Math Alignment: Grade 8 Unit 3

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This collection of math examples focuses on Linear Functions in Slope-Intercept Form, providing a comprehensive set of 13 examples to help students master some simple techniques for graphing these types of functions. The examples cover a range of skills and increase in complexity, allowing students to progressively build their understanding of slope-intercept form.

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The collection of definitions on the topic of Slope from Media4Math provides a comprehensive resource for students and educators to explore the concept of slope in mathematics. This collection includes key terms such as "slope-intercept form," "rise over run," and "slope formula," which are fundamental in understanding how slope is used to describe the steepness and direction of a line. These definitions are crucial for students as they form the foundation for more advanced topics in algebra and calculus.

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The collection of definitions on the topic of Linear Functions from Media4Math is an invaluable resource for students and educators alike. This comprehensive set includes essential terms such as slope, y-intercept, linear function, and rate of change. Understanding these terms is crucial for mastering the concept of linear functions, which are foundational in algebra and essential for advanced mathematical studies.

This is a collection of instructional resources that use the Desmos graphing calculator. These are Google Slide Shows. Subscribers can download these as PPT presentation.

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This comprehensive collection of 22 math examples focuses on Linear Equations in Standard Form, providing educators with a valuable resource to enhance their lesson plans. The examples are designed to progressively increase in complexity, covering a wide range of skills related to this fundamental algebraic concept. By utilizing visual models, these examples help simplify and clarify the often challenging aspects of linear equations, making them more accessible to students.

Instructional Videos on the Slope Formula.

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Test your understanding of using the Slope Formula with this selection of quizzes in worksheet format.

Review the following basic information on the slope formula.

Video Tutorial: Linear Functions: Negative Slope, Negative y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a negative y-intercept.

Video Tutorial: Linear Functions: Negative Slope, Positive y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a positive y-intercept.

Video Tutorial: Linear Functions: Negative Slope, Zero y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a zero y-intercept.

Video Tutorial: Linear Functions: Positive Slope, Negative y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a negative y-intercept.

Video Tutorial: Linear Functions: Positive Slope, Positive y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a positive y-intercept.

Video Tutorial: Linear Functions: Positive Slope, Zero y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a zero y-intercept.

Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant I. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant I.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant II. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant II.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant III. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant III.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant IV. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant IV.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrants I and II. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant I and Quadrant II.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant III and Quadrant IV.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant I. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant I.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant II. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant II.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant III. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant III.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant IV. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant IV.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrants I and II. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant I and Quadrant II.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV. In this tutorial, students learn about the slope formula in general and then see an application of it with two points in Quadrant III and Quadrant IV.

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Topic

Linear Functions

Definition

Direct variation describes a linear relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is the constant of variation.

Description

Direct variation is a fundamental concept in linear functions, illustrating how one variable changes proportionally with another. The constant of variation, 𝑘 k, represents the rate of change.

In real-world scenarios, direct variation can model relationships such as speed and distance, where distance traveled varies directly with time at a constant speed. Understanding this concept is crucial in fields like physics and engineering.

Topic

Slope

Definition

Delta x is the change in the x-coordinate in a linear relationship.

Description

The term Delta x is fundamental to understanding slope as it represents the horizontal change in a line’s position. In real-world applications, Delta x can represent the distance traveled over time in physics and engineering contexts.

Topic

Slope

Definition

Delta y is the change in the y-coordinate in a linear relationship.

Description

The term Delta y signifies the vertical change, essential for calculating slope used in graphing and data interpretation. In practical scenarios, Delta y can illustrate changes in temperature over time or the rise in elevation in geography.

Topic

Slope

Definition

Grade is a ratio indicating the steepness of a slope.

Description

The term Grade commonly refers to the angle of elevation or slope expressed as a percentage. In engineering, grades are crucial for designing roads and railways, ensuring safety and efficiency.

Topic

Slope

Definition

Gradient represents the rate of change of a quantity.

Description

The Gradient measures how steep a line is, calculated by the ratio of the rise to run. This concept is significant in fields like physics and economics where gradients can represent relationships between variables.

Topic

Slope

Definition

Negative Slope indicates a decrease in value as x increases.

Description

The Negative Slope signifies that as one variable increases, the other decreases, often used in economics to depict inverse relationships. This term finds relevance in real-world scenarios like demand curves which slope downwards.