intensive math-algebra i mini-lesson ma.912.a.4.3

Intensive Math-Algebra I Mini-Lesson MA.912.A.4.3

Benchmark MA.912.A.4.3 Factor polynomials expressions

This benchmark will be assessed using MC items.

Students will:Factor polynomials expressions which may include greatest common factor, difference of two squares, and trinomials

Content Limits:• All monomials in items will have, at most, two variables.• Coefficients must be integers.• In items requiring first factoring the GCF and then factoring the remaining

polynomials, the remaining polynomials must have a maximum degree of two. • In items that require simplifying algebraic ratios, the following factoring methods may

be used: GCF, difference of two squares, and/or trinomials.

Response Attributes:• Items that include rational expressions should state restrictions to the

domain or note that the value of the denominator is not equal to zero.• Distractors of rational expression items will not include expressions that are

equivalent to the correct answer.

Intensive Mathematics - Algebra 1

Benchmark MA.912.A.4.3 I can …• Factor polynomials expressions

Vocabulary • Trinomial• Polynomial• Greatest Common

Factor (GCF)• Difference of

Squares• Squares of

Binomials

Textbook pages: 474-475,480,486,and 492

Intensive Mathematics - Algebra 1

Intensive Mathematics - Algebra 1

Benchmark MA.912.A.4.3

Textbook page: 500 and 501

Example # 1

Example # 2

Intensive Mathematics - Algebra 1

Benchmark MA.912.A.4.3

Practice: Page 503: 14-19, 27-31

Textbook page: 501 and 502

Example # 3

Example # 4

Benchmark MA.912.A.4.3 Example # 5

Example # 6

Intensive Mathematics - Algebra 1

Textbook page: 506 and 507

Benchmark MA.912.A.4.3 Example # 7

Factor out the GCF

Practice: Page 509: 17 - 24

Intensive Mathematics - Algebra 1

Textbook page: 508

Benchmark MA.912.A.4.3

Example # 8

Intensive Mathematics - Algebra 1

Textbook page: 512

Benchmark MA.912.A.4.3

Example # 9

Intensive Mathematics - Algebra 1

Textbook page: 513

Intensive Mathematics - Algebra 1

Benchmark MA.912.A.4.3 Example # 10

Example # 11

Practice: Page 513: 18-23; Page 514: 24-26; Page 515: 52

Textbook page: 513 and 514

Intensive Mathematics - Algebra 1

Benchmark MA.912.A.4.3

Small Group Practice

Review

1. Which answer choice shows the expression below, factored completely?

2. Which answer choice shows the expression below, factored completely?

Intensive Mathematics - Algebra 1

Review

3. Which answer choice shows the expression below, factored completely?

4. Which answer choice shows the expression below, factored completely?

Intensive Mathematics - Algebra 1

Review

5. Which answer choice shows the expression below, factored completely?

6. Which answer choice shows the expression below, factored completely?

Intensive Mathematics - Algebra 1

Review

7. Which answer choice shows the expression below, factored completely?

8. Which answer choice shows the expression below, factored completely?

Intensive Mathematics - Algebra 1

Review

9. Which answer choice shows the expression below, factored completely?

10.Which answer choice shows the expression below, factored completely?

Intensive Mathematics - Algebra 1

Mini - AssessmentMA.912.A.4.3

Intensive Mathematics - Algebra 1

3)5( nn

3)5( nn

3)5( nn

3)5( nn

Mini - AssessmentMA.912.A.4.3

Intensive Mathematics - Algebra 1

•

•  •

A.

B.

C.

D.

F.

G.

H.

I.

)1)(4( mm

)1)(4( mm

)2)(2( mm

)1)(4( mm

Mini - AssessmentMA.912.A.4.3

•

Intensive Mathematics - Algebra 1

)1216( yy

)68(2 yy

)34(4 2 yy

)34(4 yy

•

•

A.

B.

C.

D.

F.

G.

H.

I.

by )4( x)4( x

)4( x by

by

by

)4( x

)2( x )8( x

)2( x )8( x

Mini - AssessmentMA.912.A.4.3

Intensive Mathematics - Algebra 1

5. Miami High School band members are raising money for a trip to Orlando. Their fund raiser is to sell pizzas that they create and freeze. The sponsor wrote the expression below to help calculate their total expenses.

ntncnp )(

Where:p = cost of one pizza crust and saucec = cost for cheese for one pizzat = cost for toppings for one pizzan = number of pizzas

Which of the following expressions is equivalent to the expression above?

A.

B.

C.

D.

)( tcpn

tcpn )(

tcpn )(3

)( tcpn 3

Home LearningMA.912.A.4.3

Intensive Mathematics - Algebra 1

Factor Polynomials Using the GCFFactoring Quadratic Expressions

Review Videos

Home LearningMA.912.A.4.3

Intensive Mathematics - Algebra 1