# Unit 10 Quadratic and Factoring - DOC

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```					Chapter 10, Lesson 4                                                                                            Completed
       To solve quadratic equations by factoring                         National Standards        State Standards
NAEP 2005 A4a,            P.E. A1.1.D
Vocabulary: Zero-Product Property                                             NAEP 2005 A4c,            P.E. A1.5.C
Technology: ExamView CD-ROM, PresentationEXPRESS                              ADP J.3.5,                P.E. A 1.5.D
CD-ROM, TeacherEXPRESS CD-ROM, Interactive                      ADP J.5.3
Textbook, SuccessTracker, www.PHSchool.com
Pacing:       50 minutes

1. Plan: Math Background and Lesson Resources                                         Targeted Resources
Another way of stating the Zero-Product Property is to say that zero is the             Chapter 10 Math Background
only factor that yields a product of zero. Thus, if a product is zero, at least
Chapter 10 Where You Can
one of the factors must be zero.
Use the Lesson Resources
10–4 Basic Algebra Lesson
Plan

2. Teach: Bell Ringer Practice (5 minutes)                                            Targeted Resources
Check Skills You'll Need                                                                10–4 Daily Skills Check
Algebra 1
For intervention, direct students to:
PresentationExpress with
QuickTake Presenter
Solving Two-Step Equations
CD–ROM
Lesson 3-1: Example 1
Extra Skills and Word Problem Practice, Ch. 3
2
Factoring Trinomials of the Type ax + bx + c
Lesson 9-6: Examples 1, 2
Extra Skills and Word Problem Practice, Ch. 9

3. Teach: Lesson Content (30 minutes)                                                 Targeted Resources
Use the Key Concepts, Examples 1, 2, 3 and 4 and Quick Checks
10–4 Daily Notetaking Guide
L3
Example 1: Teaching Tip
Encourage students to rewrite the quadratic equation in Example 1 in                    Algebra 1
standard form to help them see how Examples 1 and 2 are related.                        PresentationExpress with
QuickTake Presenter
CD–ROM
Graphing Calculator
Procedure 10: Graphing
TI–83/84 Plus Activity:
Graphs, Solutions, and
Factors (10-4)

4. Teach: Differentiated Instruction                                                  Targeted Resources
Some students may have difficulty visualizing how the diagram in                        Notetaking Guide L1
Example 4 is used to form a box. Have them take a rectangular piece of
10–4 Guided Problem
paper, cut out 3 in. squares from each corner, and fold the edges to form       Solving
an open-top box.                                                                10–4 Reteaching L2
learning style: tactile
10–4 Enrichment L4
Below Level                                                                     ExamView Question Bank
Review factoring polynomial expressions with students. In particular,           Spanish ExamView Question
remind them how the signs of b and c affect the factors of the expression.      Bank
learning style: verbal

Ask: What is the importance of the term or in the statement of the zero
product property?
learning style: verbal

English Language Learners (ELL)
To ensure students understand the problem in Exercise 44, have them
explain the meaning of the phrase “124 one-foot-square paving stones”
and describe how they will solve the problem.
learning style: verbal

5. Teach: Closure (5 minutes)                                                   Targeted Resources
Ask students to explain the process of solving a quadratic equation by
factoring.

6. Practice: Assignment Guide                                                   Targeted Resources
Objective 1                                                                     10–4 Practice L3
Core: 1-43
Challenge 44-47                                                                 10–4 Spanish Practice
Test Prep 48-53                                                                 10–4 Student Edition
Mixed Review 54-61                                                              Answers on Transparency
Homework Quick Checks                                                           Comprehension (10–4)
To check students’ understanding of key skills and concepts, go over            10B: Spanish Reading
Exercises 10, 30, 32, 33, 34.                                                   Comprehension (10–4)
Exercises 9–20
Encourage students to check their answers by either graphing or
substituting.

Error Prevention!
Exercises 15–20
Remind students to begin by writing the quadratic equations in standard
form.

7. Assess: Lesson Quiz (10 minutes)                                             Targeted Resources
Use this lesson quiz to assess students' mastery and understanding of           10–4 Lesson Quiz
the math skills and concepts taught in this lesson.
10–4 Online Lesson Quiz
Alternative Assessment                                                          Algebra 1
Have students write their own open-top box problem using Example 4 as           PresentationExpress with
a guide. Tell them to draw a pattern and label it using a variable. Have        QuickTake Presenter
them write the expressions and solve to find the dimensions of the box.         CD–ROM
Then encourage students to create the box from a sheet of paper.                ExamView Question Bank
Spanish ExamView Question
Bank

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