Lesson 1.2 Powers and Exponents

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Presentation transcript:

Lesson 1.2 Powers and Exponents Essential Question: How do you use powers to describe repeated multiplication?

Before we start…

What is a power? An expression that represents repeated multiplication of the same factor.

What are the parts of a power? A power can be written in a form using two numbers, a base and an exponent. The exponent represents the number of times the base is used as a factor.

Area and Volume Exponents are used in the formulas for the area of a square and the volume of a cube. In fact, the words squared and cubed come from the formula for the area of a square and the formula for the volume of a cube.

Find the area of the square.

Find the area of the square.

Ice Sculpture An artist uses a cube shaped block of ice to make an ice sculpture for a competition. Find the volume of the ice block.

Aquariums An aquarium has a square base with a side length of 15 inches. You fill the aquarium with water to a height of 15 inches. Find the volume of the water in the aquarium.

School Cancellation School has been cancelled for the next day School Cancellation School has been cancelled for the next day. You call and tell 3 friends the news. Each of your 3 friends calls 3 of their friends. Complete the table. How many calls have been made after stage 8? Stage Calls made, as a power Value of power 1 3 1 3 2 3 2 9 4 5

How do you use powers to describe repeated multiplication?

Ticket Out the Door Evaluate the expression on a piece of paper (put your name on it) and place it in the box on your way out…