Illustrative Math Alignment: Grade 8 Unit 7

Exponents and Scientific Notation

Lesson 3: Powers of Powers of 10

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Math Example--Exponential Concepts--Laws of Exponents: Example 9	Math Example--Exponential Concepts--Laws of Exponents: Example 9 Topic Exponents Description This example demonstrates the simplification of an expression with multiple negative exponents and one positive exponent. The problem involves simplifying x(-6) * x(-5) * x7, which results in x(-4) or 1/x4. This showcases 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--Solving Equations--Solving Equations with Angle Measures 2--Example 1	Solving Equations with Angle Measures 2--Example 1 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10	Solving Equations with Angle Measures 2--Example 10 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2	Solving Equations with Angle Measures 2--Example 2 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3	Solving Equations with Angle Measures 2--Example 3 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4	Solving Equations with Angle Measures 2--Example 4 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5	Solving Equations with Angle Measures 2--Example 5 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6	Solving Equations with Angle Measures 2--Example 6 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7	Solving Equations with Angle Measures 2--Example 7 Topic Equations Description This example demonstrates solving equations involving angle measures in a kite. A kite has two pairs of adjacent congruent angles. In this case, we have angles represented as (x+50)°, (x+50)°, (y+20)°, and y°. To solve this problem, we apply two key principles: the sum of angles in a quadrilateral is 360°, and the sum of the angles of a triangle is 180°. You can use the triangle equation to solve for y. Once you determine the value for y, you can use that to find x using either the triangle or the quadrilateral equation. In the solution shown, the triangle equation is used.	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8	Solving Equations with Angle Measures 2--Example 8 Topic Equations Description This example illustrates solving equations involving angle measures in a kite. The kite has two known angles of 70° and 40°, and two unknown angles represented as (x+y)°. To solve this problem, we look at the triangles formed by one of the diagonals of the kite and use the triangle equation. First solve for x with the top triangle. Once you find x, use that value to solve for y in the bottom triangle. You could also use the quadrilateral equation to solve for y.	Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9	Solving Equations with Angle Measures 2--Example 9 Topic Equations	Solving Multistep Equations and Applications of Quadrilaterals
MATH EXAMPLES--Teacher's Guide: Laws of Exponents	MATH EXAMPLES--Teacher's Guide: Laws of Exponents This Teacher's Guide provides an overview of the 24 worked-out examples on the laws of exponents. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Laws of Exponents
Math in the News: Issue 6--The BP Oil Spill, a Year Later	Math in the News: Issue 6--The BP Oil Spill, a Year Later 4/25/11. In this issue we discuss the BP oil spill one year after the spill. In particular we look at how damaging oil spills are to marine life and to oxygen levels in the water. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Data Analysis
Math in the News: Issue 77--Voyager Breaks Free	Math in the News: Issue 77--Voyager Breaks Free September 2013. In this issue we look at Voyager 1's amazing milestone: Leaving our Solar System and entering interstellar space. This provides an excellent opportunity to explore large numbers using scientific notation. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Numerical Expressions and Variable Expressions
VIDEO: Overview of Variables and Equations	VIDEO: Overview of Variables and Equations What Is a Variable? A variable is a symbol, usually a letter, that can stand for different things.	Variable Expressions, Applications of Equations and Inequalities and Variables and Unknowns
Paper-and-Pencil Quiz: Equations with Fractions (Easy)	Paper-and-Pencil Quiz: Equations with Fractions (Easy) This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Fractions (Hard)	Paper-and-Pencil Quiz: Equations with Fractions (Hard) This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Fractions (Medium)	Paper-and-Pencil Quiz: Equations with Fractions (Medium) This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Percents (Easy)	Paper-and-Pencil Quiz: Equations with Percents (Easy) This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Hard)	Paper-and-Pencil Quiz: Equations with Percents (Hard) This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Medium)	Paper-and-Pencil Quiz: Equations with Percents (Medium) This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Solving Percent Equations
Paper-and-Pencil Quiz: Laws of Exponents (Easy)	Paper-and-Pencil Quiz: Laws of Exponents (Easy) This is part of a collection of math quizzes on the topic of the Laws of Exponents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Laws of Exponents
Paper-and-Pencil Quiz: Laws of Exponents (Hard)	Paper-and-Pencil Quiz: Laws of Exponents (Hard) This is part of a collection of math quizzes on the topic of the Laws of Exponents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Laws of Exponents
Paper-and-Pencil Quiz: Laws of Exponents (Medium)	Paper-and-Pencil Quiz: Laws of Exponents (Medium) This is part of a collection of math quizzes on the topic of the Laws of Exponents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	Laws of Exponents
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 01	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 02	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 03	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 04	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 05	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 06	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 07	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 08	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 09	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 10	Description Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see other resources related to this topic, click on the Resources tab above. Quizlet Library To see the complete Quizlet Flash Card Library, click on this Link to see the collection.	Applications of Quadratic Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 01	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 02	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 03	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 04	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 05	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 06	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 07	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 08	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 09	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations by Factoring, Set 10	Solve quadratic equations by factoring in this 20-flash card set. The values of the quadratic equation terms are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/3cwZzXj	Factoring Quadratics and Quadratic Equations and Functions
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 01	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 02	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 03	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 04	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 05	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula
Quizlet Flash Cards: Solving Quadratic Equations Using the Quadratic Formula, Set 06	Solve quadratic equations by using the quadratic formula in this 20-flash card set. The values of the quadratic equation terms are in the range -15 to 15. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related Resources To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/2Ub2fn5	Quadratic Equations and Functions and Quadratic Formula