algebra ii factoring. welcome to algebra ii smile today we will be learning about factoring we will...
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![Page 1: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/1.jpg)
Algebra IIAlgebra IIFactoringFactoring
![Page 2: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/2.jpg)
Welcome to Algebra IIWelcome to Algebra II• Smile • Today we will be learning about
factoring• We will be using those skills to solve
quadratic application problems• Items needed for class today:
• Smile • Today we will be learning about
factoring• We will be using those skills to solve
quadratic application problems• Items needed for class today:
![Page 3: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/3.jpg)
Agenda for TodayAgenda for Today• Smile • Warm Ups• Section ? Factoring Trinomials• Guided Practice • Computer Applet• Think Pair Share• Assignment
• Smile • Warm Ups• Section ? Factoring Trinomials• Guided Practice • Computer Applet• Think Pair Share• Assignment
![Page 4: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/4.jpg)
Warm UpsWarm Ups
![Page 5: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/5.jpg)
Warm UpsWarm Ups
• List the factor pairs for 30.
• Answers1, 302, 153, 105, 6
• List the factor pairs for 30.
• Answers1, 302, 153, 105, 6
![Page 6: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/6.jpg)
Warm UpsWarm Ups
• List the factor pairs for 24.
• Answers1, 242, 123, 84, 6
• List the factor pairs for 24.
• Answers1, 242, 123, 84, 6
![Page 7: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/7.jpg)
Warm UpsWarm Ups
• Expand the product.• Expand the product.
(2 1)(3 3)x x 2Answer: 6 6 3 3x x x 26 3 3x x
![Page 8: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/8.jpg)
Warm UpsWarm Ups
• Expand the product.• Expand the product.
2(4 5)x 2Answer: 16 20 20 25x x x 216 40 25x x
(4 5)(4 5)x x
![Page 9: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/9.jpg)
Essential Question 5.2Essential Question 5.2
• How do you factor a polynomial?
• Can you determine a GCF?
• Key Terms: Polynomial, Monomial, Binomial, Trinomial, FOIL, 4 Step Method, GCF, Factor
• How do you factor a polynomial?
• Can you determine a GCF?
• Key Terms: Polynomial, Monomial, Binomial, Trinomial, FOIL, 4 Step Method, GCF, Factor
![Page 10: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/10.jpg)
ExamplesExamples
![Page 11: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/11.jpg)
Example 1Example 1
• Factor• Factor 22 7 15x x
Answer: (2 3)( 5)x x
ac=-30 b=-7
-10,3 -10 + 3 = -722 3 10 15x x x
(2 3) 5(2 3)x x x
1. Multiply the a and c terms2. Define factor pairs and sums3. Relace b term with factor pairs4. Factor by grouping
![Page 12: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/12.jpg)
Example 2Example 2
• Factor• Factor 22 7 3x x
Answer: (2 1)( 3)x x
ac=6 b=7
1, 6 1 + 6 = 7
22 6 3x x x (2 1) 3(2 1)x x x
1. Multiply the a and c terms2. Define factor pairs and sums3. Relace b term with factor pairs4. Factor by grouping
![Page 13: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/13.jpg)
Example 3Example 3
• Factor• Factor23 17 10x x
Answer: (3 2)( 5)x x
ac= 30 b=17
15,2 15 + 2 = 1723 2 15 10x x x
(3 2) 5(3 2)x x x
![Page 14: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/14.jpg)
Example 4Example 4
• Factor• Factor28 18 9x x
Answer: (4 3)(2 3)x x
ac=72 b=18
12, 6 12 + 6 = 1828 6 12 9x x x
2 (4 3) 3(4 3)x x x
![Page 15: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/15.jpg)
Guided PracticeGuided Practice
![Page 16: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/16.jpg)
Guided PracticeGuided Practice
• Factor• Factor 25 7 2x x
Answer: (5 2)( 1)x x
ac=10 b=-7
-5, -2 -5 + -2 = -725 5 2 2x x x
5 ( 1) 2( 1)x x x
![Page 17: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/17.jpg)
Guided PracticeGuided Practice
• Factor• Factor 210 19 6x x
Answer: (5 2)(2 3)x x
ac=60 b=-19
-15, -4 -15 - 4 = -19210 15 4 6x x x
5 (2 3) 2(2 3)x x x
![Page 18: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/18.jpg)
Guided PracticeGuided Practice
• Factor• Factor 26 13 5x x
Answer: (3 1)(2 5)x x
ac=-30 b=-13
-15, 2 -15 + 2 = -1326 15 2 5x x x
3 (2 5) 1(2 5)x x x
![Page 19: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/19.jpg)
Guided PracticeGuided Practice
• Factor• Factor 210 11 3x x
Answer: (2 1)(5 3)x x
ac=30 b=-11
-6, -5 -6 -5 = -11210 6 5 3x x x
2 (5 3) 1(5 3)x x x
![Page 20: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/20.jpg)
Guided PracticeGuided Practice
• Factor• Factor 22 5 8x x
Answer: not factorable
ac=-16 b=-5
none ?
![Page 21: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/21.jpg)
Got all that?Got all that?
![Page 22: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/22.jpg)
Computer ActivityComputer Activity
• Get a laptop computer and type in the following url address
•http://www.bhs87.org/math/practice/Factor/FactorApplet.html
• Get a laptop computer and type in the following url address
•http://www.bhs87.org/math/practice/Factor/FactorApplet.html
![Page 23: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/23.jpg)
Think Pair ShareThink Pair ShareGet with your partner and tell
them what each of the vocabulary means
Get with your partner and tell them what each of the
vocabulary means
![Page 24: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/24.jpg)
Essential Question 5.2Essential Question 5.2
• How do you factor a polynomial?
• Can you determine a GCF?
• Key Terms: Polynomial, Monomial, Binomial, Trinomial, FOIL, 4 Step Method, GCF, Factor
• How do you factor a polynomial?
• Can you determine a GCF?
• Key Terms: Polynomial, Monomial, Binomial, Trinomial, FOIL, 4 Step Method, GCF, Factor
![Page 25: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/25.jpg)
AssignmentAssignment
![Page 26: Algebra II Factoring. Welcome to Algebra II Smile Today we will be learning about factoring We will be using those skills to solve quadratic application](https://reader035.vdocuments.us/reader035/viewer/2022070403/56649f2f5503460f94c4893c/html5/thumbnails/26.jpg)
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