Illustrative Math Alignment: Grade 8 Unit 3

Topic

Slope

Description

Shows how to calculate a positive slope in Quadrant III using the slope formula. Example uses points (-3, -8) and (-2, -2), with a slope of 6. Concepts include rise over run and simplifying fractions.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Topic

Slope

Description

The video discusses finding a negative slope in Quadrant III using the slope formula. Points (-2, -7) and (-6, -5) result in a slope of -1/2. Highlights include simplifying coordinate differences and using the formula.

Topic

Slope

Description

Explains finding a positive slope in Quadrant IV. Demonstrates using points (2, -5) and (4, -1) to calculate a slope of 2. Vocabulary includes rise over run, numerator, and denominator.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Topic

Slope

Description

Demonstrates calculating a negative slope in Quadrant IV. Example points are (9, -3) and (3, -1), with a slope of -1/3. Discusses coordinate differences and formula application.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Topic

Slope

Description

Covers a positive slope with points spanning Quadrants I and II. Example uses (-3, 3) and (3, 6), yielding a slope of 1/2. Discusses rise over run, numerator, and denominator.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Topic

Slope

Description

This video explains the slope formula and applies it to find the positive slope of a line where two points are in Quadrant I. Key concepts include rise over run and calculating differences in coordinates. The example uses points (2, 3) and (6, 7) with the slope calculated as 1. Vocabulary includes rise, run, numerator, and denominator.

In this video students learn about the different types of slope. This includes positive slope, negative slope, zero slope, and no slope. This video provides visualizations of these types of slopes without relying on the slope formula.

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is positive. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is positive. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is zero. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is negative. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is undefined. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

In this video students learn how to calculate the slope of a line, given two coordinates. This is done by measuring the rise and the run and is a precursor to learning to use the slope formula. The video also discusses positive and negative slopes.

Using the context of staircases, this video explores the basic idea of slope. The video defines slope as a ratio and provides examples of calculating slope using the ratio of the rise over the run.

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.

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.

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.

Topic

Linear Functions

Description

In this Math Lab explore the slopes of staircases. Compare the slope of a staircase when walking it in a straight path and compare it to the slope of a staircase walked in a staggered path.

In this video, students explore the mathematical concept of linear functions, gaining a deeper understanding of its applications. The video emphasizes how this concept helps in problem-solving and real-world scenarios, bridging the gap between abstract mathematics and practical application.

In this TI-Nspire CX tutorial, the Graph Window is used to calculate the slope of the line between two points. The text window is used to generate a formula linked to coordinate values. Note: This video does not contain audio.

In this TI-Nspire CX tutorial, the Graph Window and Spreadsheet Window are used to calculate the slope of the line between two points. The coordinates of the points are linked to variables, which are then used in the Spreadsheet Window to calculate the slope. The split-screen, dynamically linked windows allow you to manipulate the points, while getting an updated value for the slope. Note: This video does not include audio.

In this Nspire CX tutorial, randomly create two points in a Spreadsheet Window. Graph them as a scatterplot. Connect the two points using the Line tool, then measure the slope of the line. Creating new random coordinates will yield a new line with a new slope. Note: This video does not include audio.

In this TI-Nspire CX tutorial, use the Geometry tools to construct a line whose measurements for the rise and run can be used to calculate the slope. Note: This video does not contain audio.

In this Nspire CX tutorial learn how to find the slope between two points connected by a line.

In this Nspire CX tutorial linear functions in slope-intercept form are graphed using sliders.

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to create a function to calculate the slope. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Graph window is to find the slope of two points connected by a line. This video supports the TI-Nspire Clickpad and Touchpad.

This is part of a collection of math worksheets that are crossword puzzles of math vocabulary.

The following section provides background on functions and linear functions.

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.

Related Resources

Worksheet Library

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.

Related Resources

Worksheet Library