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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 7

Exponents and Scientific Notation

Lesson 1: Exponent Review

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Interactive Math Game, Math Riddles--Expressions and Equations Interactive Math Game: Math Riddles--Expressions and Equations Interactive Math Game: Math Riddles--Expressions and Equations

In this Math Riddles Game, have your students review vocabulary around the topic of expressions and equations. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Numerical and Algebraic Expressions
Equations Word Search Puzzle Interactive Word Search Puzzle: Equations Interactive Word Search Puzzle: Equations

Review key vocabulary on the topic of equations with this interactive and printable word search puzzle.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 1 Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 1 Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 1

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 2 Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 2 Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 2

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 3 Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 3 Math Clip Art--Equations and Inequalities--Equation Models--Balance Scale 3

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 1 Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 1 Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 1

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 2 Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 2 Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 2

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 3 Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 3 Math Clip Art--Equations and Inequalities--Equation Models--Balanced Equation 3

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Left Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Left Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Left

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Right Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Right Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 1 Right

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Left Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Left Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Left

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Right Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Right Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 2 Right

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Left Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Left Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Left

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Right Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Right Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation 3 Right

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Left Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Left Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Left

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Right Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Right Math Clip Art--Equations and Inequalities--Equation Models--Unbalanced Equation Right

This is part of a collection of math clip art images about equations and inequalities.

Applications of Equations and Inequalities
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Laws of Exponents: Example 1 Math Example--Exponential Concepts--Laws of Exponents: Example 1 Math Example--Exponential Concepts--Laws of Exponents: Example 1

Topic

Exponents

Description

This example demonstrates the simplification of an expression using the laws of exponents. The problem involves simplifying x2 * x3, which results in x5 by applying the law of exponents for multiplication. This step-by-step solution helps students understand how to combine like terms with exponents.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 10 Math Example--Exponential Concepts--Laws of Exponents: Example 10 Math Example--Exponential Concepts--Laws of Exponents: Example 10

Topic

Exponents

Description

This example focuses on simplifying an expression with both positive and negative exponents. The problem involves simplifying x3 * x(-5) * x(-3), which results in x(-5) or 1/x5. This demonstrates how positive and negative exponents interact when multiplying terms with the same base, and how the result can be expressed as a fraction.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 11 Math Example--Exponential Concepts--Laws of Exponents: Example 11 Math Example--Exponential Concepts--Laws of Exponents: Example 11

Topic

Exponents

Description

This example demonstrates the simplification of an expression with both positive and negative exponents, including a zero exponent. The problem involves simplifying x(-10) * x10 * x(-2), which results in x(-2) or 1/x2. This showcases how positive and negative exponents interact when multiplying terms with the same base, and how zero exponents affect the result.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 12 Math Example--Exponential Concepts--Laws of Exponents: Example 12 Math Example--Exponential Concepts--Laws of Exponents: Example 12

Topic

Exponents

Description

This example focuses on simplifying an expression with multiple negative exponents. The problem involves simplifying x(-1) * x(-5) * x(-3), which results in x(-9) or 1/x9. This demonstrates how negative exponents interact when multiplying terms with the same base, and how the result can be expressed as a fraction with a positive exponent in the denominator.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 13 Math Example--Exponential Concepts--Laws of Exponents: Example 13 Math Example--Exponential Concepts--Laws of Exponents: Example 13

Topic

Exponents

Description

This example demonstrates the simplification of an expression involving division with exponents. The problem involves simplifying x3 / x2, which results in x. This showcases how exponents behave when dividing terms with the same base, illustrating the subtraction of exponents in division.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 14 Math Example--Exponential Concepts--Laws of Exponents: Example 14 Math Example--Exponential Concepts--Laws of Exponents: Example 14

Topic

Exponents

Description

This example demonstrates the simplification of an expression involving division with negative exponents. The problem involves simplifying x(-5) / x6, which results in x(-11) or 1/x11. This showcases how negative and positive exponents interact when dividing terms with the same base, and how the result can be expressed as a fraction.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 15 Math Example--Exponential Concepts--Laws of Exponents: Example 15 Math Example--Exponential Concepts--Laws of Exponents: Example 15

Topic

Exponents

Description

This example illustrates the simplification of an expression involving division with both positive and negative exponents. The problem involves simplifying x8 / x(-4), which results in x12. This demonstrates how positive and negative exponents interact when dividing terms with the same base, and how the result can yield a larger positive exponent.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 16 Math Example--Exponential Concepts--Laws of Exponents: Example 16 Math Example--Exponential Concepts--Laws of Exponents: Example 16

Topic

Exponents

Description

This example focuses on simplifying an expression with negative exponents in both the numerator and denominator. The problem involves simplifying x(-7) / x(-5), which results in x(-2) or 1/x2. This demonstrates how negative exponents interact when dividing terms with the same base, and how the result can be expressed as a fraction.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 17 Math Example--Exponential Concepts--Laws of Exponents: Example 17 Math Example--Exponential Concepts--Laws of Exponents: Example 17

Topic

Exponents

Description

This example demonstrates the simplification of an expression involving multiplication and division with exponents. The problem involves simplifying (x2 * x3) / x4, which results in x. This showcases how exponents behave when multiplying and dividing terms with the same base, illustrating the addition and subtraction of exponents in a single expression.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 18 Math Example--Exponential Concepts--Laws of Exponents: Example 18 Math Example--Exponential Concepts--Laws of Exponents: Example 18

Topic

Exponents

Description

This example focuses on simplifying an expression involving multiplication and division with both positive and negative exponents. The problem involves simplifying (x-3 * x5) / x6, which results in x-4 or 1/x4. This demonstrates how positive and negative exponents interact when multiplying and dividing terms with the same base, and how the result can be expressed as a fraction.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 19 Math Example--Exponential Concepts--Laws of Exponents: Example 19 Math Example--Exponential Concepts--Laws of Exponents: Example 19

Topic

Exponents

Description

This example demonstrates the simplification of an expression involving multiplication and division with both positive and negative exponents. The problem involves simplifying (x6 * x-10) / x2, which results in x-6 or 1/x6. This showcases how positive and negative exponents interact when multiplying and dividing terms with the same base, and how the result can be expressed as a fraction.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 2 Math Example--Exponential Concepts--Laws of Exponents: Example 2 Math Example--Exponential Concepts--Laws of Exponents: Example 2

Topic

Exponents

Description

This example focuses on simplifying an expression with negative exponents using exponent rules. The problem involves simplifying x(-3) * x4, which results in x1 or simply x. This demonstrates how positive and negative exponents interact when multiplying terms with the same base.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 20 Math Example--Exponential Concepts--Laws of Exponents: Example 20 Math Example--Exponential Concepts--Laws of Exponents: Example 20

Topic

Exponents

Description

This example demonstrates the simplification of an expression involving multiplication and division with both positive and negative exponents. The problem involves simplifying (x5 * x9) / x-6, which results in x20. This showcases how positive and negative exponents interact when multiplying and dividing terms with the same base, and how dividing by a negative exponent can lead to a larger positive exponent.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 21 Math Example--Exponential Concepts--Laws of Exponents: Example 21 Math Example--Exponential Concepts--Laws of Exponents: Example 21

Topic

Exponents

Description

This example focuses on simplifying an expression involving multiplication and division with negative exponents. The problem involves simplifying (x(-3) * x(-5)) / x5, which results in 1/x13. This demonstrates how negative exponents interact when multiplying and dividing terms with the same base, and how the result can be expressed as a fraction with a positive exponent in the denominator.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 22 Math Example--Exponential Concepts--Laws of Exponents: Example 22 Math Example--Exponential Concepts--Laws of Exponents: Example 22

Topic

Exponents

Description

This example demonstrates the simplification of an expression involving multiplication and division with both positive and negative exponents. The problem involves simplifying (x6 * x(-7)) / x(-9), which results in x8. This showcases how positive and negative exponents interact when multiplying and dividing terms with the same base, and how dividing by a negative exponent can lead to a positive result.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 23 Math Example--Exponential Concepts--Laws of Exponents: Example 23 Math Example--Exponential Concepts--Laws of Exponents: Example 23

Topic

Exponents

Description

This example focuses on simplifying an expression involving multiplication and division with both positive and negative exponents. The problem involves simplifying (x(-5) * x9) / x(-6), which results in x10. This demonstrates how positive and negative exponents interact when multiplying and dividing terms with the same base, and how dividing by a negative exponent can lead to a larger positive exponent.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 24 Math Example--Exponential Concepts--Laws of Exponents: Example 24 Math Example--Exponential Concepts--Laws of Exponents: Example 24

Topic

Exponents

Description

This example demonstrates the simplification of an expression involving multiplication and division with negative exponents. The problem involves simplifying (x(-2) * x(-6)) / x(-8), which results in 1. This showcases how negative exponents interact when multiplying and dividing terms with the same base, and how they can cancel out to yield a result of 1.

Laws of Exponents
Math Example--Exponential Concepts--Laws of Exponents: Example 3 Math Example--Exponential Concepts--Laws of Exponents: Example 3 Math Example--Exponential Concepts--Laws of Exponents: Example 3

Topic

Exponents

Description

This example demonstrates the simplification of an expression resulting in a negative exponent. The problem involves simplifying x5 * x(-6), which results in x(-1) or 1/x. This showcases how positive and negative exponents interact and how the result can be expressed as a fraction.

Laws of Exponents