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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 1

Expressions and Equations

Lesson 4: Practice Solving Equations and Representing Situations with Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
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 with Algebra Tiles--Example 1 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 1 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 1

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image depicts solving 2x + 2 = 4 using algebra tiles, showing steps including modeling, creating zero pairs, and dividing to find x. In this example, the caption emphasizes the importance of using model tiles to visualize the equation.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 10 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 10 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 10

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image illustrates solving the equation -2x - 1 = 5 with algebra tiles. It shows steps: modeling both sides, turning subtraction into addition of a negative, creating zero pairs, and replacing with opposite tiles to solve for x = -3. This process combines multiple concepts seen in previous examples.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 2 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 2 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 2

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image illustrates the equation 2x + 1 = 5 with algebra tiles. It shows how to solve for x by modeling, adding opposite tiles, and dividing the remaining tiles. In this example, the caption emphasizes the importance of using model tiles to visualize the equation.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 3 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 3 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 3

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows a visual representation of the equation 3x + 1 = 4 using algebra tiles. It demonstrates the steps to solve for x by modeling, creating zero pairs, and dividing. In this example, the caption emphasizes the importance of using model tiles to visualize the equation.

 Solving Two-Step Equations
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 4 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 4 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 4

Topic

Solving Equations

Description

This example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. This image represents solving 2x - 2 = 4 with algebra tiles, converting subtraction into addition of negatives, and solving for x through zero pairs and division. In this example, the caption emphasizes the importance of using model tiles to visualize the equation.

 Solving Two-Step Equations