ALEX | Alabama Learning Exchange

Rewriting Roots as Rational Exponents

Classroom Resource Information

Title:

Rewriting Roots as Rational Exponents

URL:

https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:exp/x2ec2f6f830c9fb89:rational-exp/v/rewriting-roots-as-rational-exponents

Content Source:

Other
Khan Academy

Type:

Audio/Video

Overview:

This video will demonstrate how to rewrite expressions with roots and rational exponents. This video can be shown to the whole class or shared through a student learning platform, like Google Classroom. There are two practice quizzes available after the video.

Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 9-12
Algebra I with Probability

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

Unpacked Content

Evidence Of Student Attainment:

Students:

Given expressions involving radicals and rational exponents, use reasoning and properties of exponents to demonstrate that various forms of radicals and roots actually represent the same quantity,

Teacher Vocabulary:

Rational exponent
Power of a power
Product of a power
Power of a product
Zero exponent
Negative exponent
Quotient of a power

Knowledge:

Students know:

Properties of exponents.
The meaning of algebraic symbols such as radicals and rational exponents.

Skills:

Students are able to:

Use mathematical reasoning to justify the equality of various forms of radical expressions.
Correctly perform the manipulations of exponents which apply properties of exponents.

Understanding:

Students understand that:

The properties of exponents are true regardless of the type of numbers being used.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
ALGI. 2.1: Rewrite expressions involving radicals using the properties of exponents.
ALGI. 2.2: Rewrite expressions involving rational exponents using the properties of exponents.
ALGI. 2.3: Recognize the properties of exponents.

Prior Knowledge Skills:

Compute problems with adding and subtracting integers.
Restate exponential numbers as repeated multiplication.
Compute a numerical expression with positive exponents.
Recognize to subtract exponents when dividing terms with like bases (Property of quotient of powers).
Recognize to add exponents when multiplying terms with like bases (Property of product of powers).
Restate zero exponents as 1 (X^o = 1).
Restate negative exponents as positive exponents in the form 1/x^y .
Define exponent, power, coefficient, integers, equivalent, and numerical expression.
Identify perfect squares and square roots.
Recall how to compare numbers.
Identify properties of exponents.
Define square root, expressions, and approximations.
Identify and give examples of rational numbers.
Recognize the mathematical operations of rational numbers in any form, including converting between forms. (Ex. 0.25=1/4 =25%).
Define rational numbers.
Restate exponential numbers as repeated multiplication.
Define exponent.

Alabama Alternate Achievement Standards

AAS Standard:
M.A.AAS.11.1 Determine the value of a quantity that is squared or cubed (limited to perfect squares and perfect cubes).

Tags:

algebra I, expressions, khan academy, radicals, rational exponents

License Type:

Custom Permission Type
See Terms: https://www.khanacademy.org/about/tos
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses

Accessibility

Video resources: includes closed captioning or subtitles

Comments

This resource provided by:

Author:

Hannah Bradley

ALEX Classroom Resource

Rewriting Roots as Rational Exponents