Illustrative Math Alignment: Grade 7 Unit 5
Rational Number Arithmetic
Lesson 1: Interpreting Negative Numbers
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Rational Concepts--Graphing Integers and Rational Numbers--Example 8 | Math Example--Rational Concepts--Graphing Integers and Rational Numbers--Example 8
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Numerical Expressions |
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Math Example--Rational Concepts--Graphing Integers and Rational Numbers--Example 9 | Math Example--Rational Concepts--Graphing Integers and Rational Numbers--Example 9
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Numerical Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 1 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 1
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 10 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 10
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 2 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 2
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 3 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 3
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 4 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 4
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 5 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 5
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 6 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 6
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 7 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 7
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 8 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 8
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 9 | Math Example--Rational Concepts--Rational Approximations of Irrational Numbers--Example 9
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 1 | Math Example--Rational Concepts--Rational vs Irrational--Example 1
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 10 | Math Example--Rational Concepts--Rational vs Irrational--Example 10
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 2 | Math Example--Rational Concepts--Rational vs Irrational--Example 2
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 3 | Math Example--Rational Concepts--Rational vs Irrational--Example 3
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 4 | Math Example--Rational Concepts--Rational vs Irrational--Example 4
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 5 | Math Example--Rational Concepts--Rational vs Irrational--Example 5
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 6 | Math Example--Rational Concepts--Rational vs Irrational--Example 6
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 7 | Math Example--Rational Concepts--Rational vs Irrational--Example 7
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 8 | Math Example--Rational Concepts--Rational vs Irrational--Example 8
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Math Example--Rational Concepts--Rational vs Irrational--Example 9 | Math Example--Rational Concepts--Rational vs Irrational--Example 9
This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions. |
Rational Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 01 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 02 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 03 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 04 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 05 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 06 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 07 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 08 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 09 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 10 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 01 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 02 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 03 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 04 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 05 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 06 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 07 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 08 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 09 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Quizlet Flash Cards: Subtracting Rational Numbers, Set 10 | Subtract rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3gT8TIq |
Subtract Multiple-Digit Numbers |
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Video Definition 1--Rationals and Radicals--Addition of Rational Expressions | Video Definition 1--Rationals and Radicals--Addition of Rational Expressions
TopicRationals and Radicals DescriptionAddition of rational expressions involves combining rational expressions to create a new rational expression, often requiring a common denominator. Examples include 1 / x + 1 / 2x = 3 / 2x and 1 / (x + 1) + 1 / (x - 1) = 2x / (x2 - 1). This term introduces the concept of combining rational expressions, which is fundamental to operations involving fractions with polynomial expressions. |
Rational Functions and Equations |
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Video Definition 1--Rationals and Radicals--Addition of Rational Expressions (Spanish Audio) | Video Definition 1--Rationals and Radicals--Addition of Rational Expressions (Spanish Audio)
TopicRationals and Radicals |
Rational Functions and Equations |
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Video Definition 10--Rationals and Radicals--Geometric Mean | Video Definition 10--Rationals and Radicals--Geometric Mean
TopicRationals and Radicals DescriptionThe geometric mean is the nth root of the product of n terms. Examples include the geometric mean of 3 and 12, √(3 × 12) = 6, and the geometric mean of 3, 4, and 12, ∛(3 × 4 × 12) ≈ 5.24. Geometric mean connects multiplication and roots, commonly used in statistics, geometry, and proportional reasoning. |
Radical Expressions |
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Video Definition 10--Rationals and Radicals--Geometric Mean (Spanish Audio) | Video Definition 10--Rationals and Radicals--Geometric Mean (Spanish Audio)
TopicRationals and Radicals DescriptionThe geometric mean is the nth root of the product of n terms. Examples include the geometric mean of 3 and 12, √(3 × 12) = 6, and the geometric mean of 3, 4, and 12, ∛(3 × 4 × 12) ≈ 5.24. Geometric mean connects multiplication and roots, commonly used in statistics, geometry, and proportional reasoning. This video includes Spanish audio and can be used with multilingual learners. |
Radical Expressions |
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Video Definition 11--Rationals and Radicals--Graphs of Radical Functions | Video Definition 11--Rationals and Radicals--Graphs of Radical Functions
TopicRationals and Radicals DescriptionGraphs of radical functions have a characteristic shape where the domain is limited to values resulting in a positive radicand. For y = √x, the domain is x >= 0, and the range is y >= 0. This highlights the inherent properties of square root functions. Introduces the concept of radical graphs and their domain/range constraints, setting a foundation for graph behavior analysis. |
Radical Functions and Equations |
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Video Definition 11--Rationals and Radicals--Graphs of Radical Functions (Spanish Audio) | Video Definition 11--Rationals and Radicals--Graphs of Radical Functions (Spanish Audio)
TopicRationals and Radicals |
Radical Functions and Equations |
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Video Definition 12--Rationals and Radicals--Graphs of Rational Functions | Video Definition 12--Rationals and Radicals--Graphs of Rational Functions
TopicRationals and Radicals DescriptionGraphs of rational functions often feature asymptotes, which are lines the graph approaches but never touches. For example, f(x) = 1 / x has vertical and horizontal asymptotes at x = 0 and y = 0, respectively. The domain and range exclude zero. Explains the unique characteristics of rational function graphs and the significance of asymptotes in defining their behavior. |
Rational Functions and Equations |
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Video Definition 12--Rationals and Radicals--Graphs of Rational Functions (Spanish Audio) | Video Definition 12--Rationals and Radicals--Graphs of Rational Functions (Spanish Audio)
TopicRationals and Radicals DescriptionGraphs of rational functions often feature asymptotes, which are lines the graph approaches but never touches. For example, f(x) = 1 / x has vertical and horizontal asymptotes at x = 0 and y = 0, respectively. The domain and range exclude zero. Explains the unique characteristics of rational function graphs and the significance of asymptotes in defining their behavior. |
Rational Functions and Equations |
