Factoring Expressions and GCF Concepts

The lesson covers module 4, lesson 11 on factoring expressions. It introduces the concept of 'factored form' and reviews the previous lesson on expanding expressions. The teacher provides a detailed example of factoring the expression 4D + 12E, explaining each step, including finding the greatest common factor and simplifying the expression. The lesson concludes with instructions for students to write down any questions for discussion in the next class.

What is the definition of a factored form in mathematics?

• An expression that is a sum of terms

• An expression that is a product of two or more expressions

• An expression that is a difference of terms

• An expression that is a quotient of two expressions

In the expression 20a/b, how can 20 be expanded?

• 5 times 4

• 2 times 10

• 4 times 5

• 3 times 7

What is the first step in factoring the expression 4D + 12E?

• Find the greatest common factor

• Simplify the expression

• Find the least common multiple

• Expand the expression

Which of the following is a factor of both 4 and 12?

• 2

• 3

• 5

• 7

After finding the GCF, what is the next step in factoring 4D + 12E?

• Add the terms

• Subtract the terms

• Expand the terms

• Divide the terms

What do you do with the GCF after expanding the terms?

• Multiply it with the expression

• Add it to the expression

• Subtract it from the expression

• Eliminate it and place it outside the parentheses

What is the final factored form of the expression 4D + 12E?

• 2(D + 6E)

• 4(2D + 3E)

• 4(D + 3E)

• 2(2D + 6E)

Why is it important to factor expressions?

• To make them harder to understand

• To make them more complex

• To simplify calculations and solve equations

• To increase the number of terms

What should you do if you have questions about the lesson?

• Write them down and discuss them later

• Forget about them

• Ask immediately

• Ignore them

What is the purpose of collapsing the expression back down?

• To make it more complex

• To return it to its simplest form

• To change its meaning

• To add more terms