Understanding Perimeter and Area with Binomials

Mrs. Angel introduces the concept of binomials and their application in calculating the perimeter and area of rectangles. The lesson covers basic definitions and reviews how to calculate perimeter and area. Through examples, students learn to handle binomials in these calculations using methods like double distribute and the box method. The video concludes with a recap and a challenge problem for students to solve.

What is a binomial expression?

• An expression with one term

• An expression with four terms

• An expression with two terms

• An expression with three terms

How do you calculate the perimeter of a rectangle with binomial expressions?

• Divide the length by the width

• Multiply the length and width

• Add the lengths and widths

• Subtract the width from the length

What is the first step in the double distribute method for finding the area?

• Divide the binomials

• Subtract the binomials

• Multiply each term in the first binomial by each term in the second

• Add the binomials

In the double distribute method, what do you do after distributing the first term?

• Distribute the second term

• Add the results

• Subtract the results

• Divide the results

What is another name for the box method?

• Square method

• Triangle method

• Circle method

• Window method

How does the box method help in finding the area?

• By dividing the rectangle into smaller squares

• By multiplying the perimeter

• By subtracting the width from the length

• By adding the lengths and widths

What is the result of combining like terms in the expression x^2 + 2x + 5x + 10?

• x^2 + 2x + 5x

• x^2 + 5x + 10

• x^2 + 10x + 10

• x^2 + 7x + 10

What is the area of a rectangle with sides x + 2 and x - 3 using the box method?

• x^2 + 5x - 6

• x^2 + x - 6

• x^2 - x - 6

• x^2 - 5x - 6

What should you do if both length and width have two terms when calculating area?

• Subtract them

• Divide them

• Add them directly

• Use extra parentheses and multiply

Which method can be used to simplify expressions with binomials?

• Neither method

• Only double distribute

• Only box method

• Both double distribute and box method