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Learn and apply the properties of exponents related to multiplication, including product of powers, power of a power, and power of a product. Simplify monomial expressions using these properties.
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Socrative Free App • 1. Go to the app store • 2. Search for the Socrative Student App • It should be a free app • 3. Download the app 4. Put in the following room code: 976da9c3
Learning Targets • Define the terms monomial and constant • Identify monomial and constant expressions • Define & apply the product of powers property • Define & apply the power of a power property • Define and apply the power of a product property • Simplify monomial expressions
Practice: Identification • Identify which of the following are monomials • Of the monomials, which are constants?
Recall: Exponent Definition Exponent/Power Base
Exploration: Talk with your groups Expand the following: a.) Then find EX: Expand , then simplify. What do we notice about our exponents?
Clicker Check In What is your understanding of the Product of Powers property? Click A: Green – Completely Understand Click B: Yellow – Somewhat Understand Click C: Red – Don’t Understand
Exploration: Talk with your groups Expand ___________ *_____________*______________*_____________ a.) Now Simplify the expression! EX: Simplify What do notice about the exponents?
Problem Set 1: Power of a Power EX 1: EX 2:
Clicker Check In What is your understanding of the Product of Powers property? Click A: Green – Completely Understand Click B: Yellow – Somewhat Understand Click C: Red – Don’t Understand
Exploration: Talk with your groups Expand the following: Expand the following: What do we notice about our exponents?
Clicker Check In What is your understanding of the Product of Powers property? Click A: Green – Completely Understand Click B: Yellow – Somewhat Understand Click C: Red – Don’t Understand
Worksheet Chart • Fill out the chart below in your notes. • Write the definitions, an example, and key characteristics to help you organize the differences between the properties
Dice Activity • Take out a separate sheet of paper. • Fold your paper “hot dog” style. • Wait and listen for directions. • Number your paper 1-6. • Come up and get a pair of dice. (2 die per group) • Roll the dice and record the monomial on each die. • Simplify the monomial using our properties. • Repeat. ( You will do this 6 times)
Homework • Complete the 7.1 Homework Packet Worksheet.