Factoring and Greatest Common Factor

In this lesson, Mr. Hul introduces the concept of writing products as sums and sums as products. The lesson covers the distributive property, explaining how to handle non-like terms and the importance of factoring. Students learn to find the greatest common factor (GCF) and apply these concepts through various exercises and practice problems. The lesson emphasizes understanding the process of factoring and using algorithms to simplify expressions.

What is the main focus of Lesson Four?

• Writing products as sums and sums as products

• Solving quadratic equations

• Understanding geometric shapes

• Learning about probability

Which property is used to express a product as a sum?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

Why can't you combine terms that are not like terms?

• They are in different dimensions

• They are in different equations

• They have different variables or powers

• They have different coefficients

What is the first step in factoring an expression?

• Finding the greatest common factor

• Adding all terms

• Dividing by the smallest term

• Multiplying all terms

What is ID's algorithm used for?

• Finding the greatest common factor

• Finding the least common multiple

• Calculating square roots

• Solving linear equations

What is the greatest common factor of 15 and 20?

• 5

• 20

• 3

• 15

What is the result of factoring 5 out of 15?

• 3

• 5

• 15

• 1

What is the result of factoring 5 out of 30?

• 1

• 30

• 6

• 5

What is the result of factoring 5 out of 20?

• 1

• 4

• 20

• 5

What is the result of factoring 5 out of 15x?

• 3x

• 5x

• 15x

• x