ALEX | Alabama Learning Exchange

Properties of Exponents

Classroom Resource Information

Title:

Properties of Exponents

URL:

https://www.mathplanet.com/education/algebra-1/exponents-and-exponential-functions/properties-of-exponents

Content Source:

Other
MathPlanet

Type:

Lesson/Unit Plan

Overview:

In this MathPlanet lesson, students will learn the properties of exponents. The students will learn to multiply powers, apply the power of a power property, divide exponents, raise a quotient to a power, and what to do with a negative exponent. This lesson includes a video lesson and can be added to Google Classroom.

Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 7
Accelerated

14. Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions. [Grade 8, 3]

Unpacked Content

Evidence Of Student Attainment:

Students:

Use their understanding of exponents as repeated multiplication to create equivalent expressions and justify integer exponent properties.

Teacher Vocabulary:

Integer Exponent

Knowledge:

Students know:

That whole number exponents indicate repeated multiplication of the base number and that these exponents indicate the actual number of factors being produced.

Skills:

Students are able to:

Develop integer exponent operations in order to generate equivalent expressions through addition, multiplication, division and raising a power by another power with expressions containing integer exponents.

Understanding:

Students understand that:

Just as whole number exponents represent repeated multiplication, negative integer exponents represent repeated division by the base number.
The exponent can be translated (visually. i.e. listing out the factors) to represent the exact number of factors being repeated so that the use of integer exponent operations ("rules") can be proven/make sense.

Diverse Learning Needs:

Mathematics
MA2019 (2019)
Grade: 8

3. Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions.

Unpacked Content

Evidence Of Student Attainment:

Students:

Use their understanding of exponents as repeated multiplication to create equivalent expressions and justify integer exponent properties.

Teacher Vocabulary:

Integer Exponent

Knowledge:

Students know:

that whole number exponents indicate repeated multiplication of the base number and that these exponents indicate the actual number of factors being produced.

Skills:

Students are able to:

Develop integer exponent operations in order to generate equivalent expressions through addition, multiplication, division and raising a power by another power with expressions containing integer exponents.

Understanding:

Students understand that:

just as whole number exponents represent repeated multiplication, negative integer exponents represent repeated division by the base number.
The exponent can be translated (visually, listing out the factors) to represent the exact number of factors being repeated so that the use of integer exponent operations ("rules") can be proven/make sense.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.8.3.1: Define exponent, power, coefficient, integers, equivalent, and numerical expression.
M.8.3.2: Restate negative exponents as positive exponents in the form 1/x² .
M.8.3.3: Restate zero exponents as 1 (x⁰ = 1).
M.8.3.4: Recognize to add exponents when multiplying terms with like bases (Property of product of powers).
M.8.3.5: Recognize to subtract exponents when dividing terms with like bases (Property of quotient of powers).
M.8.3.6: Compute a numerical expression with positive exponents.
M.8.3.7: Restate exponential numbers as repeated multiplication.
M.8.3.8: Compute problems with adding and subtracting integers.

Prior Knowledge Skills:

Define exponent, numerical expression, algebraic expression, variable, base, power, square of a number, and cube of a number.
Compute a numerical expression with exponents, with or without a calculator.
Restate exponential numbers as repeated multiplication.
Choose the correct value to replace each variable in the expression (Substitution).
Calculate the multiplication of single or multi-digit whole numbers, with or without a calculator.
Define integers, positive and negative numbers.
Demonstrate the location of positive and negative numbers on a vertical and horizontal number line.
Give examples of positive and negative numbers to represent quantities having opposite directions in real-world contexts.
Discuss the measure of centering of 0 in relationship to positive and negative numbers.
Discover that the opposite of the opposite of a number is the number itself.
Show on a number line that numbers that are equal distance from 0 and on opposite sides of 0 have opposite signs.

Tags:

divide exponents, exponent, exponents, multiply exponents, properties of exponents

License Type:

Attribution Non-Commercial No Derivatives
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses

Partnered Event:

ALEX Resource Development Summit

Accessibility

Comments

The aim of Mathplanet.com is to spread mathematical knowledge all over the world, completely FREE of charge. Mathplanet offers courses in high school math such as Pre-Algebra, Algebra 1, Algebra 2, and Geometry. They have also prepared practice tests for the SAT and ACT. The educational material is focused on high school maths.

This resource provided by:

Author:	YVETTE AKRIDGE
The event this resource created for:	ALEX Resource Development Summit

ALEX Classroom Resource

Properties of Exponents