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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 9: Dealing with Negative Numbers

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: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions Closed Captioned Video: Multiplying Rational Expressions Closed Captioned Video: Multiplying Rational Expressions

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to multiply rational expressions. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

Rational Expressions
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

Topic

Quadratics

Description

This video discusses quadratic equations with complex solutions. Key terms include complex numbers, imaginary unit, and symmetry. Examples demonstrate finding roots for quadratics that don't intersect the x-axis, showcasing their representation on the complex plane.

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

Topic

Quadratics

Description

This video explores quadratic equations with no real solutions, analyzing their discriminant and graphical representation. Key terms are discriminant, roots, and adjustments. Examples include modifying equations to model geometric areas like rectangles and circles.

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

Topic

Quadratics

Description

The video simplifies quadratic equations involving a squared term and limited constants. Key terms are quadratic, square root, and generalization. Applications include finding dimensions of rectangles and triangles from area, and calculating the time for a ball to hit the ground.

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

Topic

Quadratics

Description

This video explains completing the square to solve quadratic equations. Key terms are binomial square, roots, and simplification. It explores the width of a satellite dish, triangle dimensions, and composite figure measurements.

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

Topic

Quadratics

Description

Factoring is explained as a method to solve quadratics expressed as products of binomials. Terms like factor pairs and standard form are covered. Applications include determining dimensions of rectangles, triangles, and squares.

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

Topic

Quadratics

Description

This video demonstrates solving quadratic equations by graphing and finding x-axis intersections. Concepts like parabola, roots, and maximum area are explained. Applications include analyzing football trajectory, rectangle dimensions, and allowable triangle areas.

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

Topic

Quadratics

Description

The use of algebra tiles to model and solve quadratic equations is discussed. Vocabulary includes tiles, square model, and roots. Applications focus on understanding minimum values and graphical interpretations of solutions.

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

Topic

Quadratics

Description

The quadratic formula is introduced as a universal solution method. Vocabulary includes discriminant, quadratic formula, and roots. Examples involve calculating the descent time of a spaceship, parallelogram dimensions, and possible triangle areas.

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

Topic

Quadratics

Description

Quadratic equations with one solution are analyzed through their discriminant. Terms include perfect square, root, and discriminant. Applications highlight minimum areas and dimensions for squares and other geometric figures.

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

Topic

Quadratics

Description

This video explores using the discriminant to determine the number of real roots for quadratics. Terms include discriminant, real roots, and complex roots. Applications involve assessing whether quadratics can model areas of geometric shapes like rectangles and squares.

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?

Topic

Quadratics

Description

This video defines quadratic equations as involving a squared term and focuses on finding their roots. Vocabulary includes quadratic formula, roots, and standard form. Examples cover solving for a rocket's ground time and determining rectangle dimensions based on area, applying graphical and algebraic methods to find solutions.

Graphs of Quadratic Functions and Quadratic Equations and Functions
Closed Captioned Video: Rational Numbers: Adding Rational Numbers Closed Captioned Video: Rational Numbers: Adding Rational Numbers Closed Captioned Video: Rational Numbers: Adding Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Comparing and Ordering Rational Numbers Closed Captioned Video: Rational Numbers: Comparing and Ordering Rational Numbers Closed Captioned Video: Rational Numbers: Comparing and Ordering Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions