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
Tuesday, December 23, 2008
Monday, December 22, 2008
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.
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
- GCF, DOTS, & Trinomial (reverse FOIL)
- Factoring 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
Algebraic Fractions
- Evaluate operations (multiple,divide,add, and subtract) algebraic fractions.
- evaluate operations with monomial,binomial & trinomial algebraic fractions
Wednesday, December 17, 2008
Tuesday, December 16, 2008
Aim: How do we solve fractional equations with fractional coefficients?
Notice: Test 6 on December 19Homework: Handout complete all problems.
Lesson Review:
http://www.regentsprep.org/Regents/math/fractions/Fequations.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/fractions/Pequati
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
- 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 4
- Evaluate operations (multiple,divide,add, and subtract) algebraic fractions.
- 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/PadSaturday, December 13, 2008
Announcement: Test on Friday, Dec. 19
Unit on Factoring:
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
- 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 numbersME12/ME92
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
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/ME92Homework: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/Me92Homework:
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
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
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
Thursday, December 4, 2008
ME12/ME92
Aim:How do we solve more word problems that are modeled with a quadratic equation ?
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
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
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
HW assignment: Do all even numbers beginning with 2 and ending with 22.
Lesson Review: See previous day
Practice Review: See previous day
Monday, December 1, 2008
ME12/ME92
Aim: How to solve quadratic equations using the zero product property?
Homework: Handout side 1 even problems.
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
Aim: How to solve quadratic equations using the zero product property?
Homework: Handout side 1 even problems.
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
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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