24 January 2011

Algebra 2

You know what it is…….

Green and YellowGreen and Yellow

You know what it is…….

Green and YellowGreen and Yellow

You know what it is…….

Green and YellowGreen and Yellow

You know what it is…….

Green and YellowGreen and Yellow

Bellringer:Which of the following fractions is between 2/5 and 4/5?

1. 1/102. 3/93. 6/74. 7/105. 9/10

Agenda:

• Bellringer / Homework Check• Multiplying Binomials Using Box Method• Student Practice• Multiplying Binomials Using FOIL Method• Student Practice• Journal / Reflection• Homework

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

Make a 2x2 square box

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

Write the first binomial across the top x +4

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

Write the second binomial going down x +4x

-3

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

Multiply x*x x +4x x2

-3

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

Multiply x*4 x +4x x2 4x

-3

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

Multiply -3*x x +4x x2 4x

-3 -3x

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

Multiply -3*4 x +4x x2 4x

-3 -3x -12

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

List each term inside the box x +4x x2 4x

-3 -3x -12

x2 + 4x – 3x - 12XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24Box Method You can use the box method to

multiply two binomials:

Example 1: (x + 4)(x – 3)

Simplify x +4x x2 4x

-3 -3x -12

x2 + 4x – 3x – 12 = x2 + x - 12XEI.405:Multiply 2 Binomials

Multiply the following binomials:(x – 3)(x – 2)

1 2 3 4 5

20% 20% 20%20%20%

0 of 30

1. x2 – x – 62. x2 – 5x – 63. x2 – 5x + 64. x2 + 5x + 65. x2 + x + 6

Multiply the following binomials:(x + 5)(x – 2)

1 2 3 4 5

20% 20% 20%20%20%1. x2 + 3x – 102. x2 – 7x – 103. x2 – 3x + 104. x2 + 3x + 105. x2 + 7x + 10

0 of 30

Notes: Multiplying Binomials 1/24FOIL

MethodYou can use the FOIL to multiply two binomials.

FOIL stands for:FirstOuterInnerLast

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24FOIL

MethodFirst Outer Inner Last

Example 2: (x – 4)(x – 2)

-Multiply the First term in each set

x2

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24FOIL

MethodFirst Outer Inner Last

Example 2: (x – 4)(x – 2)

-Multiply the Outer term in each set

x2 – 2x

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24FOIL

MethodFirst Outer Inner Last

Example 2: (x – 4)(x – 2)

-Multiply the Inner term in each set

x2 – 2x – 4x

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24FOIL

MethodFirst Outer Inner Last

Example 2: (x – 4)(x – 2)

-Multiply the Last term in each set

x2 – 2x – 4x + 8

XEI.405:Multiply 2 Binomials

Notes: Multiplying Binomials 1/24FOIL

MethodFirst Outer Inner Last

Example 2: (x – 4)(x – 2)

- Combine like terms

x2 – 2x – 4x + 8 = x2 – 6x + 8

Final answer: x2 – 6x + 8XEI.405:Multiply 2 Binomials

What is the product of the First terms?(x + 3)(x + 8)

1 2 3 4

25% 25%25%25%1. x2

2. 3x3. 244. 8x

What is the product of the Outer terms? (x + 3)(x + 8)

1 2 3 4

25% 25%25%25%1. x2

2. 3x3. 244. 8x

What is the product of the Inner terms? (x + 3)(x + 8)

1 2 3 4

25% 25%25%25%1. x2

2. 3x3. 244. 8x

What is the product of the Last terms? (x + 3)(x + 8)

1 2 3 4

25% 25%25%25%1. x2

2. 3x3. 244. 8x

Journal / Reflection

• How do you feel about your performance this first semester?

• How do you feel about the teaching this first semester