Illustrative Math Alignment: Grade 7 Unit 7

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of systems of equations. Such disparate phenomena as profit and loss, secret codes, and ballistic missile shields can be explored through systems of equations.

This is the transcript for the video of same title. Video contents: Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

This is the transcript for the video of same title. Video contents: Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

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This is the transcript for the video of same title. Video contents: A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola.

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, two real-world explorations are developed: Biology. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder. Geology. Why do rivers meander instead of traveling in a straight line? In this segment the geological forces that account for a river??s motion are explained.

This is the transcript for the video of same title. Video contents: An overview of the key topics to be covered in the video.

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This is the transcript for the video of same title. Video contents: Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

This is the transcript for the video of same title. Video contents: Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river's length to its straight-line distance tell us? In this segment the geological forces that account for a river's motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

This is the transcript for the video of same title. Video contents: Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems

This is the transcript for the video of same title. Video contents: In this Investigation we solve a linear system.

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This is the transcript for the video of same title. Video contents: In this Investigation we use matrices and the elimination method to solve a linear system.

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This is the transcript for the video of same title. Video contents: Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course -- linear and quadratic -- in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.

This is the transcript for the video of same title. Video contents: In this Investigation we get a historical overview of equations.

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This is the transcript for the video of same title. Video contents: In this Investigation we solve linear and quadratic equations.

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What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

What Are Algebra Tiles?

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. 

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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.

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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.

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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.

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