Exploring Area and Perimeter with Algebra Tiles

The video tutorial demonstrates how to use algebra tiles to combine like terms by calculating the area and perimeter of shapes. It begins with an introduction to algebra tiles and their use in representing algebraic expressions. The tutorial then provides two examples of calculating area and perimeter, followed by a challenge problem that involves a more complex perimeter calculation. Throughout the video, the instructor emphasizes the importance of combining like terms and provides strategies for handling different scenarios.

What is the area of the first shape discussed using algebra tiles?

• x^2 + 4x + 6

• x^2 + x + 1

• x^2 + 3x + 2

• x^2 + 2x + 2

How many x tiles are used in the perimeter of the first shape?

• 6

• 5

• 4

• 3

Tags

CCSS.4.MD.A.3

What is the correct expression for the perimeter in the first example?

• 4x + 6

• 3x + 6

• 4x + 5

• 5x + 6

Tags

CCSS.7.EE.A.1

What is the perimeter of the second shape discussed?

• 4x + 6

• 3x + 10

• 4x + 10

• 5x + 10

Tags

CCSS.3.MD.D.8

How many unit tiles are in the area of the second shape?

• 3

• 2

• 1

• 4

Tags

CCSS.3.MD.C.6

How many x tiles are there in the perimeter of the second example?

• 4

• 5

• 6

• 3

Tags

CCSS.3.MD.D.8

What is the area of the shape in the challenge problem?

• x^2 + x + 1

• x^2 + 2x + 2

• x^2 + 3x + 2

• x^2 + 4x + 4

What unique factor affects the perimeter calculation in the challenge problem?

• An additional x squared tile

• An x minus 1 adjustment

• A missing unit tile

• An extra x tile

In the challenge problem, how many x's are counted in the perimeter after adjustments?

• 6

• 5

• 4

• 3

What is the total count of unit tiles in the perimeter of the challenge problem after adjustments?

• 6

• 5

• 4

• 3