Math 6 Unit 6 Lesson 14

Unit 6 Lesson 14

Evaluating Expressions with Exponents

Let's find the values of expressions with exponents.

Agenda:

Activity 14.1- Revisiting the Cube

Activity 14.2- Calculating Surface Area

Activity 14.1: Revisiting the Cube

Based on the given information, what other measurements of the square and cube could we find.

Open Ended

Using this image, we are going to answer the following questions.

But first.... let's talk vocab!

Fill in the Blanks

What is the side length of the square?

(number answer)

Fill in the Blanks

What is the area of the square?

(number answer)

Multiple Choice

What is the area of the square written in exponential form?

(EXPONENT answer)

• $3^2$

• $3^4$

Fill in the Blanks

What is the volume of the cube?

(number answer)

Hint: Volume=l*w*h

Fill in the Blanks

What is the volume of the cube in exponential form?

(EXPONENTIAL answer)

Hint: Volume=l*w*h

Exponent= repeated multiplication

(can be typed using [shift]+[6] to get ^ for the exponent

Example: 2^4 = 2*2*2*2)

Fill in the Blanks

What is the surface area of the cube?

(number answer)

Hint: Surface Area= area of all sides combined

Fill in the Blanks

What is the surface area of the cube in exponential form?

(EXPONENTIAL answer)

Hint: Surface area= area of all sides combined

Exponent= repeated multiplication

(can be typed using [shift]+[6] to get ^ for the exponent

Example: 2^4 = 2*2*2*2)

ANSWERS

What patterns do you notice?

Activity 14.2

Calculating Surface Area

Let's take a minute to think about this...

We are going to take a closer look at both methods before you decide on who you agree with

What is Surface Area?

Surface area of cube is the sum of areas of all the faces of cube, that covers it.

JADA's Method

NOAH's Method

Multiple Choice

Who do you agree with?

• Jada

• Noah

Let's see which is the way to calculate the Surface Area of a cube!

Let's Practice!

Discussion

Poll

How do you feel about calculating Surface Area?