Algebra 1 8-7 Complete Lesson: Factoring Special Cases

By Matthew Richardson

Last updated over 3 years ago

26 questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

Solve It! The diagram shows two adjacent squares and their areas. In terms of x, how much taller is the left square than the right?

Problem 1 Got It?

Problem 2 Got It?

Vocabulary: Write a binomial that is a difference of squares.

Problem 3 Got It?

Problem 4 Got It? What is the factored form of the binomial?

Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

Problem 5 Got It?

Reasoning: Identify the rule you would use to factor the expression.

Review Lesson 8-6: Match the binomial factors with each trinomial to identify its factored form.

(6a + 7)
(4a + 3)
(3a - 2)
(2a + 3)
(4a - 7)
(3a - 5)

18a² + 9a - 14
8a² + 18a + 9
12a² - 41a + 35

Review Lesson 8-2: Find the GCF of the terms of the polynomial.
Enter only a monomial.

Vocabulary Review: Identify the operators for each expression on the right.

Use Your Vocabulary: Match events in the left column with a corresponding special case of the event in the right column. Not all events will be used.

a sport
a meal
a field trip
a book
an animal
an assignment

baseball
a term paper
a biography

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Algebra 1 8-7 Complete Lesson: Factoring Special Cases

Solve It! The diagram shows two adjacent squares and their areas. In terms of x, how much taller is the left square than the right?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Vocabulary: Write a binomial that is a difference of squares.

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? What is the factored form of the binomial?

Problem 4 Got It? Reasoning: The expression below contains two perfect squares. Can you use the method in Problem 4 to factor it? Explain your reasoning.

Problem 5 Got It?

Problem 5 Got It?

Reasoning: Identify the rule you would use to factor the expression.

Reasoning: Identify the rule you would use to factor the expression.

Reasoning: Identify the rule you would use to factor the expression.

Review Lesson 8-6: Match the binomial factors with each trinomial to identify its factored form.

Review Lesson 8-2: Find the GCF of the terms of the polynomial.Enter only a monomial.

Review Lesson 8-2: Find the GCF of the terms of the polynomial.Enter only a monomial.

Vocabulary Review: Identify the operators for each expression on the right.

Use Your Vocabulary: Match events in the left column with a corresponding special case of the event in the right column. Not all events will be used.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

Review Lesson 8-2: Find the GCF of the terms of the polynomial.
Enter only a monomial.

Review Lesson 8-2: Find the GCF of the terms of the polynomial.
Enter only a monomial.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.