This video will connect students' understanding of integer exponents to the new concept of rational exponents. This video can be shown to a whole class or imported to a student learning system, like Google Classroom. There is a practice quiz available after the video.

Content Standard(s):

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

1. Explain how the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for an additional notation for radicals using rational exponents.

Unpacked Content

Evidence Of Student Attainment:

Students:

Explain how the meaning of rational exponents follows from extending the properties of integer exponents.

Use rational exponent notation to represent radicals.

Teacher Vocabulary:

Exponent

Root

Rational Exponent

Radical -nth root

Rational exponent

Knowledge:

Students know:

Techniques for applying the properties of exponents.

Skills:

Students are able to:

Correctly perform the manipulations of rational exponents by analyzing and applying the properties of integer exponents.

Use mathematical reasoning and prior knowledge of integer exponents rules to develop rational exponent notation for radicals.

Understanding:

Students understand that:

The properties of exponents apply to rational exponents as well as integer exponents.

Diverse Learning Needs:

Essential Skills:

Learning Objectives: ALGI. 1.1: Define exponent, integer, rational number, and radicals.
ALGI. 1.2: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values.
ALGI. 1.3: Use notation for radicals in terms of rational exponents.
ALGI. 1.4: Apply the properties of integer exponents to generate equivalent numerical expressions.
ALGI. 1.5: Know the properties of integer exponents.
ALGI. 1.6: Write numerical expressions involving whole-number exponents.
ALGI. 1.7: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.

Prior Knowledge Skills:

Demonstrate difference of scientific notation symbol between paper and calculator.

Discuss the real-world application of scientific notation (very large or very small quantities).

Recall properties of exponents.

Recall how to write numbers in scientific notation.

Demonstrate that when dividing powers of like bases; subtract the exponents (Property of quotient of powers).

Restate exponential numbers as repeated multiplication.

Define exponent, integer, rational number, and radical.

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, integer exponents, khan academy, rational exponents