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.
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Math Example--Quadratics--Calculating the Discriminant: Example 10 | Calculating the Discriminant: Example 10TopicQuadratics DescriptionThis example illustrates a quadratic with two real roots. The discriminant being positive indicates that there are two real solutions to the equation. This scenario helps students recognize the significance of repeated roots and their graphical representation. For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection. |
Quadratic Formula |
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Math Example--Quadratics--Calculating the Discriminant: Example 2 | Calculating the Discriminant: Example 2TopicQuadratics |
Quadratic Formula |
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Math Example--Quadratics--Calculating the Discriminant: Example 3 | Calculating the Discriminant: Example 3TopicQuadratics DescriptionThis example demonstrates a quadratic equation with one distinct real root, highlighting the relationship between the coefficients and the resulting discriminant. By calculating the discriminant, students can identify the nature of the roots, which is crucial for solving quadratics effectively. Skills involved include algebraic manipulation and understanding the graphical implications of roots. For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection. |
Quadratic Formula |
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Math Example--Quadratics--Calculating the Discriminant: Example 4 | Calculating the Discriminant: Example 4TopicQuadratics DescriptionThis example illustrates a quadratic with two real roots. The discriminant being positive indicates that there are two real roots. This scenario helps students recognize the significance of repeated roots and their graphical representation. For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection. |
Quadratic Formula |
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Math Example--Quadratics--Calculating the Discriminant: Example 5 | Calculating the Discriminant: Example 5TopicQuadratics DescriptionThis example demonstrates a quadratic equation with no distinct real roots, highlighting the relationship between the coefficients and the resulting discriminant. By calculating the discriminant, students can identify the nature of the roots, which is crucial for solving quadratics effectively. Skills involved include algebraic manipulation and understanding the graphical implications of roots. For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection. |
Quadratic Formula |
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Math Example--Quadratics--Calculating the Discriminant: Example 6 | Calculating the Discriminant: Example 6TopicQuadratics DescriptionThis example illustrates a quadratic with a double real root. The discriminant being zero indicates that there is exactly one real solution to the equation. This scenario helps students recognize the significance of repeated roots and their graphical representation. For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection. |
Quadratic Formula |
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Math Example--Quadratics--Calculating the Discriminant: Example 7 | Calculating the Discriminant: Example 7TopicQuadratics DescriptionIn this example, the quadratic equation results in two roots, demonstrating the cases where the discriminant is positive. This provides insights into scenarios where quadratic equations intersect the x-axis twice. Skills in algebra are focused on interpreting complex solutions and their geometric implications. For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection. |
Quadratic Formula |
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Math Example--Quadratics--Calculating the Discriminant: Example 8 | Calculating the Discriminant: Example 8TopicQuadratics DescriptionThis example illustrates a quadratic with two real roots. The discriminant being positive indicates that there are two real solutions to the equation. This scenario helps students recognize the significance of two roots and their graphical representation. For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection. |
Quadratic Formula |
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Math Example--Quadratics--Calculating the Discriminant: Example 9 | Calculating the Discriminant: Example 9TopicQuadratics DescriptionThis example demonstrates a quadratic equation with two distinct real roots, highlighting the relationship between the coefficients and the resulting discriminant. By calculating the discriminant, students can identify the nature of the roots, which is crucial for solving quadratics effectively. Skills involved include algebraic manipulation and understanding the graphical implications of roots. For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection. |
Quadratic Formula |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 10 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 10
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 3
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 30
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 31
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 32
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 33
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 34
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 35
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 36
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 37
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 38
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 4
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 40
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 5
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 6
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 7
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 8
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9 | Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 9
This is part of a collection of math examples that focus on ratios, proportions, and percents. |
Proportions |
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Math Example--Solving Equations--Solving Equations Using Angle Properties: Example 1 | Solving Equations Using Angle Properties: Example 1TopicEquations DescriptionThis example demonstrates solving equations using angle properties, specifically focusing on supplementary angles. Supplementary angles are two angles that add up to 180 degrees. In this case, we have one known angle of 135° and an unknown angle x. To solve such equations, we use the fundamental property of supplementary angles: their sum equals 180°. |
Applications of Equations and Inequalities and Definition of an Angle |
