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```					Chapter 9, Lesson 7                                                                                           Completed
Factoring Special Cases
       To factor perfect-square trinomials                             National Standards        State Standards
       To factor the difference of squares                                ADP J.1.4                 P.E. A1.2.E

Vocabulary: perfect-square trinomial
Technology: ExamView CD-ROM, PresentationEXPRESS
CD-ROM, TeacherEXPRESS CD-ROM, Interactive
Textbook, SuccessTracker, www.PHSchool.com
Pacing:       55 minutes

1. Plan: Math Background and Lesson Resources                                       Targeted Resources
Recognizing special cases for factoring trinomials significantly shortens             Chapter 9 Math Background
the process. These special cases involve a process that is the inverse of
Chapter 9 Where You Can
the patterns used to multiply in Lesson 9-4.
Use the Lesson Resources
9–7 Basic Algebra Lesson
Plan

2. Teach: Bell Ringer Practice (5 minutes)                                          Targeted Resources
Check Skills You'll Need                                                              9–7 Daily Skills Check
Algebra 1
For intervention, direct students to:
PresentationExpress with
QuickTake Presenter
More Multiplication Properties of Exponents
CD–ROM
Lesson 8-4: Example 3
Extra Skills and Word Problem Practice, Ch. 8

Multiplying Special Cases
Lesson 9-4: Example 1
Extra Skills and Word Problem Practice, Ch. 9

3. Teach: Lesson Content (30 minutes)                                               Targeted Resources
Objective 1: Factoring Perfect-Square Trinomials                                      9–7 Additional Examples
Use the Key Concepts, Examples 1 and 2 and Quick Checks
9–7 Daily Notetaking Guide
L3
Example 2: Teaching Tip
2
Write 9g + 12g + 4 on the board. Ask a student volunteer to explain and               Algebra 1
show on the board how to determine that the expression is a perfect                   PresentationExpress with
square trinomial.                                                                     QuickTake Presenter
CD–ROM
Objective 2: Factoring the Difference of Squares                                      Online Active Math: Common
Use Examples 3, 4 and 5 and Quick Checks                                              Factor Activity (9–7)
Hands–On Activity 22:
Example 3: Error Prevention                                                           Special Products
2
Many students will want to write the factor as (x – 8) since the sign in the
2
expression is negative. Write the expression as x + 0x – 64. Ask
students what types of numbers have a sum of 0. Stress that the signs in
the factors must be different to have 0 as the coefficient of the middle
term in the trinomial.

Example: 4: Visual Learners
Encourage students to make a poster listing the special cases and
describing how to factor them. Have students provide examples for each
special case. Students may wish to color code the variables and/or signs.
If students made the posters described in the Alternative Assessment for
Lesson 9-5, they may wish to continue with the same color pattern.

Example: 5: Math Tip
There are some cases where students can factor successfully and then
remove the GCF, but not always. It is always safer to remove the GCF
first.

4. Teach: Differentiated Instruction                                              Targeted Resources
Have students highlight terms that are the product of two identical factors.      Notetaking Guide L1
Then have them explain whether and what sort of special case each
9–7 Guided Problem Solving
bi/trinomial might be.
learning style: verbal                                                            9–7 Reteaching L2
9–7 Enrichment L4
Below Level                                                                       ExamView Question Bank
Assure students that the method of lesson 9-6 also can be used, but that          Spanish ExamView Question
they will save time and effort if they first consider the possibility of a        Bank
perfect square.
learning style: verbal

2
Ask students to explain in their own terms why x – 64 can be factored
2
but x + 64 cannot be factored.
learning style: verbal

English Language Learners (ELL)
Have students model the expression using tiles. Ask: What is the length
of each side of the model? What shape do the tiles form? Help students
connect the square shape of the model and the term “perfect square
trinomial.”
learning style: visual

5. Teach: Closure (5 minutes)                                                     Targeted Resources
Ask students to name and give examples of two types of special cases
they learned to factor in this lesson.

6. Practice: Assignment Guide                                                     Targeted Resources
Objective 1                                                                       9–7 Practice L3
Core: 1-12, 37, 46-54
Objective 2                                                                       9–7 Spanish Practice
Core: 13-36, 38-45, 55                                                            9–7 Student Edition Answers
on Transparency
Test Prep 67-72                                                                   Symbols (9–7)
Mixed Review 73-91                                                                9C: Spanish Reading/Writing
Math Symbols (9–7)
Homework Quick Checks
To check students’ understanding of key skills and concepts, go over
Exercises 8, 32, 37, 48, 54.
Error Prevention!
Exercise 35 Some students may factor out 6 as the GCF. Point out that a
variable can also be a common factor and that here the GCF is 6r.

7. Assess: Lesson Quiz (10 minutes)                                          Targeted Resources
Use this lesson quiz to assess students' mastery and understanding of        9–7 Lesson Quiz
the math skills and concepts taught in this lesson.
9–7 Online Lesson Quiz
Alternative Assessment                                                       Algebra 1
Have each student write a short essay explaining the ways to recognize       PresentationExpress with
and factor the special cases in this lesson.                                 QuickTake Presenter
CD–ROM
ExamView Question Bank
Spanish ExamView Question
Bank

8. Assess: Checkpoint Quiz (5 minutes)                                       Targeted Resources
Use this Checkpoint Quiz to assess students' knowledge of mathematics        Checkpoint Quiz 2 (9–7)
learned in this chapter.
Spanish Checkpoint Quiz 2
(9–7)
ExamView Question Bank

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