Illustrative Math Alignment: Grade 6 Unit 1

Expressions and Equations

Lesson 3: Staying in Balance

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and addition shows solving -x + (-5) = 71 by performing inverse operations to isolate x, using addition and division by -1. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and addition demonstrates solving -2x + (-8) = 22 through inverse operations, specifically addition and division, to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction shows solving the equation 2x - 3 = 7 by isolating x through inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction demonstrates solving the equation -3x - (-12) = -42 by isolating x through inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction illustrates solving the equation 3x - 4 = 14 by isolating x with inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction demonstrates solving the equation -2x - 4 = 8 by isolating x using inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction explains solving the equation -x - 5 = 17 by isolating x with inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction shows solving the equation -7x - 6 = 43 by isolating x with inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction illustrates solving the equation 6x - (-2) = 38 by isolating x using inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction demonstrates solving the equation 10x - (-6) = 76 by isolating x through inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction explains solving the equation -x - (-5) = 71 by isolating x through inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation involving multiplication and subtraction shows solving the equation -2x - (-8) = 22 by isolating x with inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: x/5 + 3 = 7. The solution is detailed with inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: -x/3 + (-12) = -42. The solution follows each step using inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: x/4 + 4 = 14. It includes each step to isolate the variable using inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: -x/3 + 4 = 8. The solution uses inverse operations to isolate x with careful handling of the negative sign. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: -x/6 + 5 = 17. The solution details each inverse operation step to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: -x/7 + 6 = 43. The solution carefully applies inverse operations to solve for x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: x/6 + (-2) = 38, showing each step to isolate x through inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: x/10 + (-6) = 76. Each inverse operation is shown to solve for x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: -x/9 + (-5) = 71. The solution includes each inverse operation needed to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and addition: -x/2 + (-8) = 22, detailing the inverse operations step-by-step to solve for x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: x / 5 - 3 = 7 using two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: -x / 3 - (-12) = -42 with two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: x / 4 - 4 = 14 with a two-step inverse operation approach. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: -x / 3 - 4 = 8 through inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: -x / 6 - 5 = 17 using two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: -x / 7 - 6 = 43 using inverse operations to isolate the variable. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: x / 6 - (-2) = 38 with a two-step approach using inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: x / 10 - (-6) = 76 by performing two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: -x / 9 - (-5) = 71 using two inverse operations to isolate the variable. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 Topic Solving Equations Description An example of solving a two-step equation with division and subtraction: -x / 2 - (-8) = 22 by performing two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations.	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 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 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 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 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 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 5	Math Example: Solving Two-Step Equations with Algebra Tiles--Example 5 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 algebra tiles used to solve the equation 2x - 2 = -4. The tiles are manipulated to find the solution x = -1. 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 6	Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6 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 algebra tiles used to solve the equation 2x - (-2) = -4. The tiles are manipulated to find the solution x = -3. In this example, the process involves modeling tiles on both sides of the equals sign, converting subtraction of a negative into addition, and creating zero pairs to isolate the variable.	Solving Two-Step Equations
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7	Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7 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 algebra tiles used to solve the equation -x + 1 = 4. The tiles are manipulated to find the solution x = -3. In this example, the process involves modeling tiles on both sides of the equals sign, creating zero pairs, and replacing each side with corresponding opposite tiles.	Solving Two-Step Equations

Illustrative Math Alignment: Grade 6 Unit 1

Expressions and Equations

Lesson 3: Staying in Balance

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