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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 7: Reasoning about Solving Equations (Part 1)

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 6: -Ax + By = -C Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 6: -Ax + By = -C Closed Captioned Video: 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. . .

Standard Form
Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 7: -Ax - By = C Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 7: -Ax - By = C Closed Captioned Video: 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. . .

Standard Form
Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 8:-Ax - By = -C Closed Captioned Video: Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 8:-Ax - By = -C Closed Captioned Video: 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. . .

Standard Form
Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations

In this video learn the mechanics of solving one-step equations involving addition. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2

In this video learn the mechanics of solving one-step equations involving addition. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations

In this video learn the mechanics of solving one-step equations involving division. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations

In this video learn the mechanics of solving one-step equations involving multiplication. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations

In this video learn the mechanics of solving one-step equations involving subtraction. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2

In this video learn the mechanics of solving one-step equations involving subtraction. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: ax^2 + bx + c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: ax^2 + bx - c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: ax^2 - bx + c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: -ax^2 + bx + c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: ax^2 - bx - c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: -ax^2 + bx - c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: -ax^2 - bx + c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8 Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8

In this video, analyze the steps in solving a quadratic equation with two roots. In this video we work with this version of the quadratic equation: -ax^2 - bx - c = 0. . .

Quadratic Equations and Functions
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 1 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 1 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 1

In this video learn the mechanics of solving a two-step equation involving addition and multiplication. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 10 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 10 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 11 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 11 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 12 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 12 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 12

In this video learn the mechanics of solving a two-step equation involving subtraction and division. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 13 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 13 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 2 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 2 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 3 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 3 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 3

In this video learn the mechanics of solving a two-step equation involving subtraction and multiplication. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 4 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 4 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 5 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 5 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 6 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 6 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 7 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 7 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 8 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 8 Closed Captioned Video: 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. .

Solving Two-Step Equations
Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 9 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 9 Closed Captioned Video: Anatomy of an Equation: Two-Step Equations 9

In this video learn the mechanics of solving a two-step equation involving addition and division. .

Solving Two-Step Equations
Closed Captioned Video: One-Step Equations: Addition Closed Captioned Video: One-Step Equations: Addition Closed Captioned Video: One-Step Equations: Addition

Video Tutorial: One-Step Equations: Addition. In this video, get an overview of one-step equations and how to solve them. In particular, look at one-step addition equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Division Closed Captioned Video: One-Step Equations: Division Closed Captioned Video: One-Step Equations: Division

Video Tutorial: One-Step Equations: Division. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step division equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Multiplication Closed Captioned Video: One-Step Equations: Multiplication Closed Captioned Video: One-Step Equations: Multiplication

Video Tutorial: One-Step Equations: Multiplication. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step multiplication equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Subtraction Closed Captioned Video: One-Step Equations: Subtraction Closed Captioned Video: One-Step Equations: Subtraction

Video Tutorial: One-Step Equations: Subtraction. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step subtraction equations.

Solving One-Step Equations
Closed Captioned Video: Overview of Variables and Equations Closed Captioned Video: Overview of Variables and Equations Closed Captioned Video: Overview of Variables and Equations

In this video segment, get an overview of variables and equations, along with the evolution of algebraic notation.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: TI-Nspire Mini-Tutorial: Creating a Template to Find the Roots of a Quadratic Equation Closed Captioned Video: Quadratic Equation Closed Captioned Video: Quadratic Equation

In this TI Nspire tutorial, the Program Editor is used to create a function for solving a quadratic equation. The function is tested in a Calculator window. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Quadratic Equations with Complex Roots Closed Captioned Video: Quadratics: Quadratic Equations with Complex Roots Closed Captioned Video: Quadratics: Quadratic Equations with Complex Roots

Video Tutorial: Quadratic Equations with Complex Roots. In this video students learn how to find the complex roots of certain quadratic equation. This includes cases with simple imaginary number roots and those with complex roots.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Quadratic Equations with No Real Solutions Closed Captioned Video: Quadratics: Quadratic Equations with No Real Solutions Closed Captioned Video: Quadratics: Quadratic Equations with No Real Solutions

Video Tutorial: Quadratic Equations with No Real Solutions. In this video students learn how to detect if a quadratic has no solution. This involves graphical analysis as well as analysis of the discriminant.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Solving a Simple Quadratic Equation Closed Captioned Video: Quadratics: Solving a Simple Quadratic Equation Closed Captioned Video: Quadratics: Solving a Simple Quadratic Equation

Video Tutorial: Quadratics: Solving a Simple Quadratic Equation. In this video, students learn how to solve simple quadratics that can be solved without using the quadratic formula. These equations provide an opportunity to develop the basics of quadratic equations in the context of real-world problems.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square

Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square. In this video, students solve quadratic equations by using the technique of completing the square.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form By Factoring Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form By Factoring Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form By Factoring

Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form By Factoring. In this video, students learn how to use the technique of factoring a quadratic into the product of binomials to solve a quadratic equation. Includes the case of a perfect square.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Graphically Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Graphically Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Graphically

Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form Graphically. In this video, students learn how to use the graph of a quadratic function to determine if a solution to a quadratic equation exists. Several cases are investigated, including the no-solution case.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using Algebra Tiles Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using Algebra Tiles Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using Algebra Tiles

Description

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using the Quadratic Formula Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using the Quadratic Formula Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using the Quadratic Formula

Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form Using the Quadratic Formula. In this video, students learn how to use the quadratic formula to solve quadratic equations. This includes cases where there are solutions and where there are no solutions. Students are introduced to the discriminant.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Solving Quadratic Equations with One Solution Closed Captioned Video: Quadratics: Solving Quadratic Equations with One Solution Closed Captioned Video: Quadratics: Solving Quadratic Equations with One Solution

Video Tutorial: Quadratics: Solving Quadratic Equations with One Solution. In this video, students solve quadratic equations with one solution. These are quadratics that result in perfect squares.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations Closed Captioned Video: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations Closed Captioned Video: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations

Video Tutorial: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations. In this video students, learn how to calculate the discriminant and use it to analyze the quadratic function and determine the number of real roots it has. We cover all three cases: 2 roots, 1 root, no roots.

Graphs of Quadratic Functions, Quadratic Equations and Functions and Quadratic Formula
Closed Captioned Video: Quadratics: What Is a Quadratic Equation? Closed Captioned Video: Quadratics: What Is a Quadratic Equation? Closed Captioned Video: Quadratics: What Is a Quadratic Equation?

Video Tutorial: Quadratics: What Is a Quadratic Equation? In this video, students learn how to solve a quadratic equation using three different techniques. This includes solving by graphing, solving by using the quadratic formula, and solving by factoring. Includes quadratic equations in the context of real-world problems.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Two-Step Equations: Division and Addition Closed Captioned Video: Two-Step Equations: Division and Addition Closed Captioned Video: Two-Step Equations: Division and Addition

Video Tutorial: Two-Step Equations: Division and Addition. In this video, we will solve a two-step equation that involves division and addition.

Solving Two-Step Equations
Closed Captioned Video: Two-Step Equations: Division and Subtraction Closed Captioned Video: Two-Step Equations: Division and Subtraction Closed Captioned Video: Two-Step Equations: Division and Subtraction

Video Tutorial: Two-Step Equations: Division and Subtraction. In this video, we will solve a two-step equation that involves division and subtraction.

Solving Two-Step Equations
Closed Captioned Video: Two-Step Equations: Multiplication and Addition Closed Captioned Video: Two-Step Equations: Multiplication and Addition Closed Captioned Video: Two-Step Equations: Multiplication and Addition

Video Tutorial: Two-Step Equations: Multiplication and Addition. In this video, we will solve a two-step equation that involves multiplication and addition.

Solving Two-Step Equations