N-RN.1.2

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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Formative Assessments
Formative Assessments
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Students are asked to convert numerical expressions from radical to exponential form.
Rational Exponents – 1
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Students are asked to convert numerical expressions from exponential to radical form.
Rational Exponents – 2
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Students are asked to convert a product of a radical and exponential expression to a single power of two.
Rational Exponents – 3
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Assessment Questions
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Videos of Expert Instruction
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Radical expressions can often be simplified by moving factors which are perfect roots out from under the radical sign.
Simplifying Radical Expressions
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Hook/Performance Tasks
Hook/Performance Tasks
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In this example, students use properties of rational exponents and other algebraic concepts to compare and verify the relative size of two real numbers that involve decimal exponents.
Checking a Calculation of a Decimal Exponent
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This makes for a good follow-up task on rational irrational numbers after the students have been acquainted with some of the more basic properties, asking students to reason about rational and irrational numbers (N-RN.3) in a variety of ways. In addition to eliciting several different types of reasoning, the task requires students to rewrite radical expressions in which the radicand is divisible by a a perfect square.
Rational or Irrational?
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This context makes for an interesting application of calculating interest.
How Much Did Peterson Lose By Not Cashing His Check?