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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
Math Example: Solving Quadratic Equations with Algebra Tiles--Example 1 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 1 Math Example: Solving Quadratic Equations with Algebra Tiles

Topic

Solving Equations

Description

In this example, we explore solving the quadratic equation x2 + 2x + 1 = 0 using algebra tiles. The visual representation shows how to rearrange the equation into (x + 1)2 = 0, demonstrating the power of algebra tiles in simplifying complex equations. By arranging the tiles, students can physically see the relationship between the terms and understand how they combine to form a perfect square trinomial.

 Quadratic Equations and Functions
Math Example: Solving Quadratic Equations with Algebra Tiles--Example 2 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 2 Math Example: Solving Quadratic Equations with Algebra Tiles

Topic

Solving Equations

Description

This example illustrates the process of solving the quadratic equation x2+ 4x + 4 = 0 using algebra tiles. The visual representation demonstrates how to rearrange the equation into (x + 2)2 = 0, showcasing the power of algebra tiles in simplifying and solving quadratic equations. By arranging the tiles, students can physically see how the terms combine to form a perfect square trinomial, making the solution process more intuitive.

 Quadratic Equations and Functions
Math Example: Solving Quadratic Equations with Algebra Tiles--Example 3 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 3 Math Example: Solving Quadratic Equations with Algebra Tiles

Topic

Solving Equations

Description

This example demonstrates the process of solving the quadratic equation x2 + 6x + 9 = 0 using algebra tiles. The visual representation shows how to rearrange the equation into (x + 3)2 = 0, illustrating the power of algebra tiles in simplifying and solving quadratic equations with larger coefficients. By arranging the tiles into a square, students can physically see how the terms combine to form a perfect square trinomial, making the solution process more intuitive and accessible.

 Quadratic Equations and Functions
Math Example: Solving Quadratic Equations with Algebra Tiles--Example 4 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 4 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 4

Topic

Solving Equations

Description

In this example, we explore solving the quadratic equation x2 - 2x + 1 = 0 using algebra tiles. The visual representation demonstrates how to arrange the tiles into a perfect square, effectively transforming the equation into (-x + 1)2 = 0. This method showcases the versatility of algebra tiles in handling equations with both positive and negative terms, as well as illustrating the completing the square technique.

 Quadratic Equations and Functions
Math Example: Solving Quadratic Equations with Algebra Tiles--Example 5 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 5 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 5

Topic

Solving Equations

Description

This example demonstrates the process of solving the quadratic equation x2 - 4x + 4 = 0 using algebra tiles. The visual representation shows how to arrange the tiles to form a perfect square, illustrating the completing the square method. By organizing the tiles, students can physically see how the terms combine to form the expression (-x + 2)2 = 0, making the solution process more intuitive and accessible.

 Quadratic Equations and Functions
Math Example: Solving Quadratic Equations with Algebra Tiles--Example 6 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 6 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 6

Topic

Solving Equations

Description

This example illustrates the process of solving the quadratic equation x2 - 6x + 9 = 0 using algebra tiles. By modeling tiles on both sides of the equation, students can visually understand the principle of maintaining equality while manipulating the equation. The tiles are arranged into a square to form a perfect square trinomial, demonstrating the completing the square method in a tangible way.

 Quadratic Equations and Functions
Math Example: Solving Quadratic Equations with Algebra Tiles--Example 7 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 7 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 7

Topic

Solving Equations

Description

This example demonstrates the process of solving the quadratic equation x2 + 3x + 2 = 0 using algebra tiles. The visual representation shows how to arrange the tiles into a rectangle, illustrating the factoring method for solving quadratic equations. By organizing the tiles in this way, students can physically see how the terms combine to form the factored expression (x + 2)(x + 1) = 0, making the solution process more intuitive and accessible.

 Quadratic Equations and Functions
Math Example: Solving Quadratic Equations with Algebra Tiles--Example 8 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 8 Math Example: Solving Quadratic Equations with Algebra Tiles--Example 8

Topic

Solving Equations

Description

This example illustrates the process of solving the quadratic equation x2 + 5x + 6 = 0 using algebra tiles. The visual representation demonstrates how to arrange the tiles into a rectangle, showcasing the factoring method for solving quadratic equations. By organizing the tiles in this manner, students can physically see how the terms combine to form the factored expression (x + 3)(x + 2) = 0, making the solution process more concrete and understandable.

 Quadratic Equations and Functions
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 1 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 1 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 1

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 10 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 10 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 10

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 2 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 2 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 2

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 3 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 3 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 3

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 4 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 4 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 4

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 5 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 5 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 5

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 6 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 6 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 6

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 7 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 7 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 7

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 8 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 8 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 8

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 9 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 9 Math Example: Solving Two-Step Equations of the Form ax + b = c--Example 9

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 1 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 1 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 1

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 10 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 10 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 10

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 2 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 2 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 2

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 3 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 3 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 3

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 4 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 4 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 4

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 5 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 5 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 5

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 6 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 6 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 6

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 7 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 7 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 7

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 8 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 8 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 8

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 9 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 9 Math Example: Solving Two-Step Equations of the Form ax - b = c--Example 9

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 1 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 1 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 1

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 10 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 10 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 10

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 2 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 2 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 2

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 3 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 3 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 3

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 4 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 4 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 4

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 5 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 5 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 5

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 6 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 6 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 6

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 7 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 7 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 7

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 8 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 8 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 8

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 9 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 9 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 9

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 1 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 1 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 1

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 10 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 10 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 10

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 2 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 2 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 2

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 3 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 3 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 3

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 4 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 4 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 4

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 5 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 5 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 5

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 6 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 6 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 6

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 7 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 7 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 7

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 8 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 8 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 8

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 9 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 9 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 9

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 1 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 1 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 1

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 2 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 2 Math Example: Solving Two-Step Equations Using the Properties of Equality--Example 2

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

 Solving Two-Step Equations