Illustrative Math Alignment: Grade 8 Unit 3

Topic

Linear Functions

Description

The term is "Linear Function Table," defined as an input-output table where the output values have a common difference. An example shows a table with x-values increasing by 1 and f(x)-values increasing by 2. This term ties numerical patterns to linear functions, highlighting their consistent rate of change.

Topic

Linear Functions

Description

The term is "Point-Slope Form," defined as a formula used to find the equation of a line in slope-intercept form for a given set of coordinates and slope. The formula is y - y1 = m(x - x1). This term provides a useful tool for transitioning between graph-based data and algebraic representations of linear functions.

Topic

Linear Functions

Description

The term is "The Equation of a Line from Two Coordinates," defined as deriving the equation of a line in slope-intercept form from two given points. The slope is calculated as m = (y2 - y1) / (x2 - x1), and the equation is written as y - y1 = m(x - x1). This term builds the connection between points on a graph and their corresponding linear equation, demonstrating practical derivations.

This is the transcript for the video entitled, Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 1: AX + By = C. In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: AX + By = C. 

The corresponding video is at this Link.

Note: The download is a PDF file.

This is the transcript for the video entitled, Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 2: AX + By = -C. In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: AX + By = -C. 

The corresponding video is at this Link.

Note: The download is a PDF file.

This is the transcript for the video entitled, Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 3: Ax - By = C. In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: AX - By = C. 

The corresponding video is at this Link.

Note: The download is a PDF file.

This is the transcript for the video entitled, Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 4: -Ax + By = C. In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: -Ax + By = C.

This is the transcript for the video entitled, Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 5: Ax - By = -C. In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: Ax - By = -C. 

The corresponding video is at this Link.

Note: The download is a PDF file.

This is the transcript for the video entitled, Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 6: -Ax + By = -C. In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: -Ax + By = -C.

This is the transcript for the video entitled, Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 7: -Ax - By = C. In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: -Ax - By = C.

This is the transcript for the video entitled, Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 8:-Ax - By = -C. In this video tutorial, analyze the steps in converting a linear equation in Standard Form to a linear function in Slope-Intercept Form. In this video we work with this version of the Standard Form: -Ax - By = -C.

This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Addition Equations."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Addition Equations 2."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Division Equations."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Multiplication Equations."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Subtraction Equations."

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This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Subtraction Equations 2."

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This is a video transcript for the video on solving quadratic equations. In this video, we work with this version of the quadratic equation: ax^2 + bx + c = 0.

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This is a video transcript for the video on solving quadratic equations. In this video, we work with this version of the quadratic equation: ax^2 + bx - c = 0.

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This is a video transcript for the video on solving quadratic equations. In this video, we work with this version of the quadratic equation: ax^2 - bx + c = 0.

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This is a video transcript for the video on solving quadratic equations. In this video, we work with this version of the quadratic equation: -ax^2 + bx + c = 0.

To see the complete collection of video transcriptsy, click on this link.

This is a video transcript for the video on solving quadratic equations. In this video, we work with this version of the quadratic equation: ax^2 - bx - c = 0.

To see the complete collection of video transcriptsy, click on this link.

This is a video transcript for the video on solving quadratic equations. In this video, we work with this version of the quadratic equation: -ax^2 + bx - c = 0.

To see the complete collection of video transcriptsy, click on this link.

This is a video transcript for the video on solving quadratic equations. In this video, we work with this version of the quadratic equation: -ax^2 - bx + c = 0.

To see the complete collection of video transcriptsy, click on this link.

This is a video transcript for the video on solving quadratic equations. In this video, we work with this version of the quadratic equation: -ax^2 - bx - c = 0.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 1. In this video learn the mechanics of solving a two-step equation involving addition and multiplication.

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This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 10. In this video learn the mechanics of solving a two-step equation involving addition and division. In this variation, the x-term has a negative coefficient.

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This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 11. In this video learn the mechanics of solving a two-step equation involving addition and division. In this variation, the x-term has a negative coefficient. In this variation, the term on the other side of the equals sign is negative.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 12. In this video learn the mechanics of solving a two-step equation involving subtraction and division.

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This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 13. In this video learn the mechanics of solving a two-step equation involving subtraction and division. In this variation, the x-term has a negative coefficient. In this variation, the term on the other side of the equals sign is negative.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 2. In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the term on the other side of the equals sign is negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 3. In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 4. In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the number on the other side of the equals sign is negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 5. In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the x-term has a negative coefficient.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 6. In this video learn the mechanics of solving a two-step equation involving addition and multiplication. In this variation, the x-term has a negative coefficient and the term on the other side of the equals sign is negative.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 7. In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the x-term has a negative coefficient.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 8. In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. In this variation, the x-term has a negative coefficient and the term on the other side of the equals sign is negative.

This is the transcript for the video entitled, Anatomy of an Equation: Two-Step Equations 9. In this video learn the mechanics of solving a two-step equation involving addition and division.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Negative y-Intercept.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Positive y-Intercept.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Zero y-Intercept.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Negative y-Intercept.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Positive y-Intercept.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Zero y-Intercept.

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This is the transcript that goes with the video segment entitled Video Tutorial: One-Step Equations: Addition.

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This is the transcript that goes with the video segment entitled Video: One-Step Equations: Division.

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This is the transcript that goes with the video segment entitled Video Tutorial: One-Step Equations: Multiplication.

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This is the transcript that goes with the video segment entitled Video: One-Step Equations: Subtraction.

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This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant I.

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This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant II.

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