Unit 7: Radical Expressions and Equations
Algebra II
2 Weeks
Essential Questions
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To simplify the nth root of an expression, what must be true about the expression?
When you square each side of an equation, is the resulting equation equivalent to the
original?
How are a function and its inverse function related?
Enduring Understandings
1. Corresponding to every power there is a root.
2. You can combine like radicals using properties of real numbers.
3. You can write a radical expression in an equivalent form using a fractional (rational)
exponent instead of a radical sign.
4. Solving a square root equation may require that you square each side of the equation.
This process can introduce extraneous solutions.
Content
Students will know…
Topics (Pearson):
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(6-1) Roots and Radical Expressions
(6-2) Multiplying and Dividing Radical Exp.
(6-4) Rational Exponents
(6-5) Solving Square Root Equations
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Properties of real numbers apply to
radical expressions.
Correlation between rational exponents
and nth roots.
Extraneous solutions
Equations can be solved when radicals
are present by multiplying by the
inverse power.
Unit 7: Radical Expressions and Equations
Algebra II
2 Weeks
21st Learning Expectations
Students will be able to…
 Employ mathematical problem solving skills effectively.
 Make decisions and solve problems in independent and collaborative settings.
21st Century Learning Skills
Students will be able to…
 ML #1 – Make sense of problems and persevere in solving them.
 ML #2 – Reason abstractly and quantitatively.
Connecticut State Standards
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CC.9-12.A.REI.2 Solve simple rational and radical equations in one variable, and give
examples showing how extraneous solutions may arise.
Objectives
Students will be able to…
 Simplify radical expressions.
 Apply the properties of equality and exponents to solve equations involving radicals.
 Determine the domain of a radical function to check for extraneous solutions.
Assessments
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Quiz EU1 – Simplifying Radical Expressions
Quiz EU2 – Multiplying and Dividing Radicals
Quiz EU3 – Rational Exponents
Quiz EU4 – Solving Radical Equations
Unit Test – Radical Expressions and Equations
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Unit 7: Radical Expressions and Equations
Algebra II
2 Weeks
Resources
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Charles, R., Hall, B., Kennedy, D., Bass, L., Johnson, A., Murphy, S., et al. (2012).
Algebra 2: Common Core. Boston: Pearson.
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