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Learning Goal
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Know and apply the properties of integer exponents
Start lessonBegins with Product quotient power rules · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
8.EE.A.1
**8.EE.A.1**: Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2 x 3^-5 = 3^-3 = 1/3^3 = 1/27.
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8.EE.A.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2 x 3^-5 = 3^-3 = 1/3^3 = 1/27.
What you'll learn
- State and apply the product of powers rule (a^m * a^n = a^(m+n)) and the quotient of powers rule (a^m / a^n = a^(m-n)) to simplify expressions with the same base
- Apply the power of a power rule ((a^m)^n = a^(mn)), the power of a product rule ((ab)^n = a^n * b^n), and the power of a quotient rule ((a/b)^n = a^n / b^n) to rewrite expressions in equivalent forms
- Explain why a^0 = 1 for any nonzero base a by extending the pattern of decreasing exponents, and apply this definition to simplify expressions
- Explain why a^(-n) = 1/a^n for any nonzero base a by extending the same pattern, and convert expressions with negative exponents into equivalent expressions with positive exponents
- Combine multiple exponent properties in a single expression to generate equivalent numerical expressions, including expressions that require two or more rules applied in sequence
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
1
Product quotient power rules
✓ Start here2
Zero negative combining properties
Practice
Try it on your own • 4 practice sets
Animated Videos
Short animated explanations of the key idea • 4 animated videos
Multiplying and Dividing Powers with the Same Base
Raising a Power, a Product, or a Quotient to a Power
Zero and Negative Exponents: What the Pattern Forces
Combining Exponent Properties: One Rule per Step
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