Tuesday, December 23, 2008

Happy Holidays

Aim:
Review general Algebra Regent Questions.


Homework: Complete the 40 questions worksheet. If you were absent and would like a copy,send me an email: BLeong3@schools.nyc.gov

Monday, December 22, 2008

Aim: How do we review general topics?

Homework: Complete class worksheet.

Thursday, December 18, 2008

Aim: Test Review on Solving quadratic equations and fractional equations
Announcement: Test on Friday, Dec. 19

ME12/ME92

Homework: Do all problems on todays test review handout. Check answers with the Answer Key.

Test Topics will include units on Factoring and Algebraic Fractions and will include:

Factoring

  1. GCF, DOTS, & Trinomial (reverse FOIL)
  2. Factoring completely
  3. Identify a quadratic equations: ax² + bx + c = 0 or ax² + bx = 0 or ax² = 0 or x (x + b) = c
  4. Evaluate a quadratic equation by factoring and solve for x

Algebraic Fractions

  1. Evaluate operations (multiple,divide,add, and subtract) algebraic fractions.
  2. evaluate operations with monomial,binomial & trinomial algebraic fractions

Wednesday, December 17, 2008

Aim: Test review on how to multiply & divide algebraic fractions.
ME12/ME92
Homework: Complete class review sheet.

Please visit previous days for lesson reviews and practice exercises.

Monday, December 15, 2008

Aim: How do we combine algebraic fractions ? II

Announcement: Test on Friday, Dec. 19
Test Topics will include units on Factoring and Algebraic Fractions and will include:

Factor: GCF, DOTS, & Trinomial (reverse FOIL),Factoring completely

  1. Identify a quadratic equations: ax² + bx + c = 0 or ax² + bx = 0 or ax² = 0 or x (x + b) = c
  2. Evaluate a quadratic equation by factoring and solve for x 4
  3. Evaluate operations (multiple,divide,add, and subtract) algebraic fractions.
  4. Evaluate operations with monomial,binomial & trinomial algebraic fractions

Homework: Handout side 2 - all problems.

Lesson Review :Click below http://www.regentsprep.org/Regents/math/fractions/addsubt.htm

Practice Exercise:

http://www.regentsprep.org/Regents/math/fractions/Paddsubt1.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV5/addsubt.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV5/Pad

Saturday, December 13, 2008

Announcement: Test on Friday, Dec. 19
Unit on Factoring:
  • factor the different kind of factoring using GCF, DOTS, & reverse FOIL
  • factor completely
  • identify a quadratic equations: ax² + bx + c = 0 or ax² + bx = 0 or ax² = 0 or x (x + b) = c
  • evaluate a quadratic equation by factoring and solve for x
Unit on Algebraic Fractions:
  • evaluate operations (multiple,divide,add, and subtract) algebraic fractions.
  • evaluate operations with monomial,binomial & trinomial algebraic fractions






Friday, December 12, 2008

Aim: How to Add & Subtract Algebraic Fractions when the denominators are different?
ME12/ME92
Homework: Use textbook Page 554 / #4 - #18 even numbers

Lesson Review: Read textbook Page 552 - 554
Click below for lesson summary: http://www.regentsprep.org/Regents/math/fractions/addsubt.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/fractions/Paddsubt1.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AV5/addsubt.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AV5/Paddsubt1.htm

Thursday, December 11, 2008

ME12/ME92

Aim: How do we add and subtract algebraic fractions with a common denominator?

Homework:Complete handout side # 2 all problems.

Lesson Review:Remember that a rational expression is a fraction. The objective in this lesson is to combine t two algebraic fractions and reduce the answer to the most simplifed form.These expressions can be monimials or polynomials in factored or unfactored form.
THE 4 STEP PROCEDURE IS AS FOLLOWS:
1. Check for common denominator
2. Combine the numerators over the common denominator of only one fraction
3. Cancel terms or factor if possible
4. Reduce and cancel like terms.

Click below for lesson summary: http://www.regentsprep.org/Regents/math/fractions/addsubt.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/fractions/Paddsubt1.htm

Wednesday, December 10, 2008

Aim: How do we divide algebraic expressions?

ME12/ME92
Homework:Complete handout even # problems.
.
Lesson Review:Remember that a rational expression is a fraction. The objective in this lesson is to divide two algebraic fractions and reduce the answer to the most simplifed form.These expressions can be monimials or polynomials in factored or unfactored form.

THE 3 STEP PROCEDURE FOR DIVIDING IS AS FOLLOWS:
1. Keep the first fraction
2. Change the sign of the operation to multiplication
3. Flip(riciprocal) the 2nd fraction
4. Follow the 4 steps used for multiplying

THE 4 STEP PROCEDURE FOR MULTIPLYING IS AS FOLLOWS:
1. Factor the numerator of each fraction if possible.
2. Factor the denominator of each fraction if, possible.
3. Reduce like terms in the numerator and denominator by dividing the factors OR cross cancelation.where possible.
4. Multiply the remaining terms in the numerator and in the denominator.
Lesson Review:
http://www.regentsprep.org/Regents/math/fractions/multdivide.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/fractions/Pmultd

Tuesday, December 9, 2008

Aim: How do we multiply/divide rational polynomial expressions II ?

ME12/Me92
Homework:
Complete handout even # problems.

Lesson Review:
Remember that a rational expression is a fraction. The objective in this lesson is to multiply two algebraic fractions and reducing the answer TO the most simplifed form.
These expressions can be monimials or polynomials in factored or unfactored form.

THE 4 STEP PROCEDURE FOR MULTIPLYING IS AS FOLLOWS:
1. Factor the numerator of each fraction if possible.
2. Factor the denominator of each fraction if, possible.
3. Reduce like terms in the numerator and denominator by dividing the factors OR cross cancelation.where possible.
4. Multiply the remaining terms in the numerator and in the denominator.

If the operation between the two fractions is division,
1.Keep the first fraction as is.
2. Change the operation to multiplication
3. Invert (flip) the fraction and follow the 4 steps for multiplication

LESSON REVIEW LINKS
http://regentsprep.org/Regents/math/fractions/multdivide.htm
Practice Exercise:
http://regentsprep.org/Regents/math/fractions/Pmultdiv.htm

Monday, December 8, 2008

ME12/ME92

Homework:
Complete handout even # problems.

Lesson Review: Remember that a rational expression is a fraction. The objective in this lesson is to multiply two algebraic fractions and reducing the answer in the most simplifed form.
These expressions can be monimials or polynomials in factored or unfactored form.

THE 4 STEP PROCEDURE FOR MULTIPLYING IS AS FOLLOWS:
1. Factor the numerator of each fraction if possible.
2. Factor the denominator of each fraction if, possible.
3. Reduce like terms in the numerator and denominator by dividing the factors where possible.
4. Multiply the remain terms in the numerator and in the denominator.

If the operation between the two fractions is division,
1. Keep the first fraction as is.
2.Change the operation to multiplication.
3.Invert (flip) the fraction and follow the 4 steps for multiplication

Click below for Lesson Review
http://regentsprep.org/Regents/math/fractions/multdivide.htm

Practice Exercise:
http://regentsprep.org/Regents/math/fractions/Pmultdiv.htm

Friday, December 5, 2008

ME12/ME92

Aim: How do we simplify rational expressions?

Homework:
Complete handout even # problems. Answers are provided by Theresa in 8th period. Click on Aim above for answers.

Lesson Review: Remember that a rational expression is a fraction. The objective in this lesson is to simplify by reducing, fractions that have factorable expressions in the numerator and denominator. These expressions can be monimials or polynomials.

THE 3 STEP PROCEDURE FOR SIMPLIFYING IS AS FOLLOWS:

1. Factor the numerator if possible.

2. Factor the denominator, if possible

3. Reduce like terms in the numerator and denominator by dividing the factors where possible.

Click below for Lesson Review http ://www.regentsprep.org/Regents/math/ALGEBRA/AV4/Ldiv.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV4/Pdiv.htm

Video Mini Lesson
video
THERESAAA :] said...

Theresa Kong.

1] 6x/7
2] 1/r
3] 4p/7
4] 4n/3
5] -5n/2
6] 1/2n sq.
7] 2
8] 9/2(a-1)
9] 1/3x
10] a-1/8
11] 1/v-5
12] 1/x-1
13] 3/3x+2
14] v-10/v-8
15] x+2/x-3
16] x-9/x+4
17] b-4/b-7
18] v+5/v-3
19] 2(n-1)/3n-10
20] v-7/v+2
21] 3v sq./v+6
22] x(x+6)/2(x-3)
23] v-3/4
24] 9/x-1
25] x+10/2x(x-4)
26] 3(r-3)/r+7

Thursday, December 4, 2008

ME12/ME92
Aim:How do we solve more word problems that are modeled with a quadratic equation ?

Homework: Handout: Complete word problems on side one and even problems on side two.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/LFacEq.htm
Practice Exercise: http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/PFacEq.htm
Video Review:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431091.html

Wednesday, December 3, 2008

Aim: How to use quadratic equation to solve verbal problems?

ME12/92

HW Assignment: Do side 2 # 5 to # 9

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/LFacEq.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/PFacEq.htm

Tuesday, December 2, 2008

Aim: Continue to Solve Quadratic Equation by Factoring.

ME12/92

HW assignment: Do all even numbers beginning with 2 and ending with 22.

Lesson Review: See previous day

Practice Review: See previous day