Understanding the Binomial Cube

Celada introduces the lesson by recapping the previous topic on the binomial cube. She explains the names and dimensions of the cube's parts, focusing on how to write them algebraically. The lesson progresses to deriving the formula for (A + B) cubed, detailing the components involved. Celada concludes by previewing the next lesson, which will cover inputting numerator values for variables A and B.

What was the focus of the previous lesson mentioned in the introduction?

• How to calculate the volume of a cube

• How to remove parts of the binomial cube

• How to use the control of air

• How to assemble the binomial cube

What is unique about the dimensions of the binomial cube?

• All sides are different

• Only the height is different

• All sides are equal

• Only the width is different

How is 'a cubed' represented in the binomial cube?

• As a line

• As a cube

• As a square

• As a rectangle

What is the correct representation for a piece with dimensions a squared and B?

• B squared A

• A B squared

• A squared B

• B cubed

Which piece is referred to as 'B cubed' in the binomial cube?

• The piece with all dimensions equal to B

• The piece with dimensions a squared and B

• The piece with dimensions a and B squared

• The piece with dimensions a cubed

How many 'a squared B' pieces are there in the binomial cube?

• Four

• Three

• Two

• One

What is the algebraic expression for (a + b) cubed?

• a cubed + 3a squared B + 3a B squared + B cubed

• a cubed + 2a squared B + 2a B squared + B cubed

• a cubed + 3a squared B + 2a B squared + B cubed

• a cubed + 2a squared B + 3a B squared + B cubed

How many 'a B squared' pieces are there in the binomial cube?

• Three

• One

• Two

• Four

What will be the focus of the next lesson?

• Assembling the binomial cube

• Calculating the volume of a cube

• Inputting numerator values for variables

• Understanding the control of air

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