Area and Surface Area- Day 17

Squares and Cubes

Lesson 17

Objective:

Today I will generalize a process for finding the volume of a cube so that I can find the area of a cube. I know I am successful when I can complete Cool Down 17 to earn a 4.

Perfect Squares

The number 9 is a perfect  square because 3x3= 9.

Open Ended

Find four numbers that are perfect squares and two numbers that are not perfect squares.

Open Ended

A square has side length 7 km. What is its area?

Open Ended

The area of a square is 64 sq cm. What is its side length?

Perfect Cubes

The number 27 is a perfect cube because 3x3x3 = 27

Open Ended

Find four other numbers that are perfect cubes and two numbers that are not perfect cubes.

Open Ended

A cube has a side length 4 cm. What is its volume?

Open Ended

A cube has side length 10 inches. What is its volume?

Open Ended

A cube has side length s units. What is its volume?

Introducing Exponents

Type an exponent like 3^2 this equals 3²

Open Ended

A square has side length 10 cm. Use an exponent to express its area.

Open Ended

The area of a square is 7² sq in. What is its side length?

Open Ended

The area of a square is 81 m². Use an exponent to express this area.

Open Ended

A cube has edge length 5 in. Use an exponent to express its volume.

Open Ended

The volume of a cube is 6³ cm³. What is its edge length?

Open Ended

A cube has edge length s units. Use an exponent to write an expression for its volume.