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

Aim: How do we review general topics?

Aim: How do we review general topics?

Homework: Complete class worksheet.

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

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.

Aim: How do we solve fractional equations with fractional coefficients?

Aim: How do we solve fractional equations with fractional coefficients?

Notice: Test 6 on December 19

Homework: 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

Aim: How do we combine algebraic fractions ? II

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

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

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

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 divide algebraic expressions?

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

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

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

Aim: How do we multiply/divide monomial rational 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 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

ME12/ME92

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

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

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

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

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

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 do we factor a trinomial where a>1?

Homework: Complete side one - all problems on handout

ME12/92

Lesson Review:
http://www.regentsprep.org/Regents/math/factor/Ltri2.htm
.org/Regents/math/ALGEBRA/AV6/Ltri1.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/LtriComplete.htm
Practice Exercises:
http://www.regentsprep.org/Regents/math/factor/PracFact3

ME12/92 Aim: How do we factor completely ll?

ME12/92 Aim: How do we factor completely ll?

Notice: Extra Credit Quiz Tomorrow

Publish Post

Homework: Handout - complete side one.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/LtriComplete.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/P

Aim: ME 12 How do we factor trinomials of the form ax^2 +bx +c where a is = 1?

Notice: First Quarter assessment Test Schedule on Monday November 24

Aim: ME 12 How do we factor trinomials of the form ax^2 +bx +c where a is = 1?

Homework: Handout, Work on Review Sheet for Quarter Assessment Test. Do all questions.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/Ltri1.htm
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact2.htm
Mini video lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431070.html
http://www.phschool.com/atschool/academy123/html/bba

Aim: ME 92 How do we factor completely?

Homework: Do Test Review Sheet all problems

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/LtriComplete.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/

Attention for ME12 & ME92 - Quarter Assessment exam will be on Monday,Nov. 24th. Review sheet will be given out on Thursday & Friday. In addition,students should review previous tests & classnotes.

Aim ME 12 How do we factor the difference between two perfect squares?

Aim ME 12 How do we factor the difference between two perfect squares?

ME 12
Homework: Handout, side 2, all questions

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/Lfactps.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact1.htm

Mini Video Lesson:
http://www.phschool.com/atschool/academy123/html/bbapple

Aim: ME 92 How do we factor trinomials of the form ax^2 +bx +c where a is = 1? II

ME92
Homework: Handout, both sides, even #'s only.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/Ltri1.htm
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact2.htm
Mini video lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431070.html
http://www.phschool.com/atschool/academy123/html/bbapp

Tuesday, November 18, 2008

Aim: ME 12 Aim: How do we factor an algebraic expression using the Greatest Common Factor( GCF) Method ?

ME12
Homework: Handout sheet

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/Lfaccom.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact4.htmhttp://teachers.henrico.k12.va.us/math/HCPSAlgebra1/Documents/8-2/FactoringGCF.ppthttp://teachers.henrico.k12.va.us/math/HCPSAlgebra1/Documents/8-2/FactoringGCF.ppt
Video Mini Lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431063.html

Aim: ME 92 How do we factor trinomials of the form ax^2 +bx +c where a is = 1?

ME92
Homework: Handout, both sides, even #'s only.
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431070.html
Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/Ltri1.htm
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact2.htm
Mini video lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431070.html
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431071.html

Quarter Exam

Flash news: Quarter assessment is on Monday, Nov. 24th.
Come to class everyday to prepare for it.

Aim ME 12 How do we mulitply and polynomial by a polynomial

ME12

Homework: Complete all questions, side 2 of handout worksheet.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/Lfaccom.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact4.htm

Mini Video Lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431063.html

Aim: ME 92 How do we factor the difference between two perfect squares/

ME 92
Homework: Complete handout worksheet, do Problems #2 to 14 even numbers

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/Lfactps.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact1.htm

Mini Video Lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431078.html

Notice All Classes:Test4 on Friday November 14.
ME 12 Test topics will include but not limited to the following:
Multiplying and dividing monomials
Mulitplying and dividing polynomials by monomials
Scientific Notation conversion and operations
Simplifying or evaluating algebraic expressions
Solving equations with variables on single or both sides, evaluating expressions, + inequaltiy equations + others.
Review previous test

ME 92Topics included are:
Multiplying and dividing monomials
Multiplying and dividing a polynomial by a monomial
Multiply binomial by binomial (FOIL)
Factoring using the GCF method
Basic algebra : equation solving, evaluating expressions, adding and subtracting monomials and polynomials , inequality equations + others.
Review previous test

ME12 AIM: How to read,write and calculate with Scientific Notation?

HW: Side 2 - Do even number questions

Lession Review:

http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/page1.htmhttp://www.regentsprep.org/Regents/math/ALGEBRA/AO2/page2.htmhttp://www.regentsprep.org/Regents/math/ALGEBRA/AO2/ScientificLesson.htm



Practice Exercise : http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/page5a.htmhttp://www.regentsprep.org/Regents/math/ALGEBRA/AO2/PracScientific.htmhttp://www.regentsprep.org/Regents/math/ALGEBRA/AO2/PracScientific.htm



Video Mini Lesson:

http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431039.htmlhttp://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431040.htmlhttp://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431041.htmlhttp://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431042.htmlhttp://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-434694.html





ME92: How to recognize greatest common factor and factor a binomial or polynomial by undoing the distributive property?



HW: Side 2 - Do even numbers from #2 - # 30

Lesson Review: http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/Lfaccom.htm

Practice Exercise: http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact4.htmhttp://teachers.henrico.k12.va.us/math/HCPSAlgebra1/Documents/8-2/FactoringGCF.ppt

Video Mini Lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431063.html

Aim: ME12 How do we divide a polynomial by a monomial?

Notice All Classes:Test4 on Friday November 14.

ME 12 Test topics will include but not limited to the following:

1. Multiplying and dividing monomials
2. Mulitplying and dividing polynomials by monomials
3. Scientific Notation conversion and operations
4. Simplifying or evaluating algebraic expressions
5. Solving equations with variables on single or both sides, evaluating expressions, + inequaltiy equations + others.
6. Review previous test

ME 92Topics included are:

• Multiplying and dividing monomials
• Multiplying and dividing a polynomial by a monomial
• Multiply binomial by binomial (FOIL)
• Factoring using the GCF method
• Basic algebra : equation solving, evaluating expressions, adding and subtracting monomials and polynomials , inequality equations + others.
• Review previous test

Lesson Review
http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/page1.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/page2.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/ScientificLesson.htm
Practice Exercise
http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/page5a.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/PracScientific.htm

Video Mini Lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431039.html
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431040.html
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431041.html
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431042.html
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-434694.html

Friday, November 7, 2008

Aim: ME12 How do we divide a polynomial by a monomial?

TEST 4 NOTICE All Classes: Friday Nov 14, 2008

Class: ME 12
Homework: Handout even # problems

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

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

Acuity Test for New York City Board of Ed

Aim: ME 12/ ME 92 How do we divide a Polynomial by monomial and how do we handle exponents?

Aim: ME 12/ ME 92 How do we divide a Polynomial by monomial and how do we handle exponents?

ME12/92
Homework: Complete handout sheet

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV4/Ldiv.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/LExp.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/rule_pdiv.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/LExp.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AV4/Pdiv.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/PracExpShort.htm

Video mini lessons
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431037.html
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-p

ME12 Aim: How do we multiply monomials and powers of powers?

ME12
HW: Do Side 2

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/rule_pmu.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/rule_pow.htm
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/PExp.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/PracExp.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO5/Papply.htm

Video Lesson:
www.teachertube.com/view_video.php


ME92 Aim: How do we multiply a polynomial by monomial?

ME92
HW: Complete Worksheet

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV3/PracMon.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AV3/multMon.htm
.

Practice Exercise:
http://www.regentsprep.org/Regents/math/polymult/PracPow.htm

Video Lesson:
http://www.teachertube.com/v.php?viewkey=15

ME12 Aim: How to Solve Inequality Applied Problems?

ME12
HW: Worksheet Questions #6 & #8

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/CompoundLinequal.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/PracIneqD.htm


ME92 Aim: Review Day
No HW

ME12 Aim: How do we solve multistep inequalities?

ME12
Homework: Complete handout Side 2.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/LSolvIn.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/PSolvIn.htm

Video Lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-430715.html

ME92: Aim: How do we mulitply monomials?

ME 92
Homework: Handout worksheet, both side.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV3/PracMon.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AV3/multMon.htm
.

Practice Exercise:
http://www.regentsprep.org/Regents/math/polymult/PracPow.htm

Video Lesson:
http://www.teachertube.com/v.php?viewkey=151ef85e617f5aa3867a

ME12/ME92 Test Today

ME12/ME92 Review for Test #3

See previous postings for topics

Aim: ME 12 How do we solve and graph one step inequalities?

Aim: ME 92 How do we divide and work with monomials with zero,and negative exponents?

TEST 3 Wednesday, October 29
See October 23, post for test topics

ME 12
Homework: Handout side 2

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/LSolvIn.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/PSolvIn.htm

ME92
Homework: Complete handout - Review Sheet

Lesson Review:
http://regentsprep.org/Regents/math/exp/LExp.htm

Practice Exercise:

Announcement - Next Test on Oct. 29th, Wednesday

Test Topics For ME12
1. Using Rate times Time equal Distance word problems
2. Find number of coins word problems
3. Find Ratios & Solve Proportion word problems
4. Find Percent of a number including Finding percent decrease or increase
5. Solve one-step inequalities and graph
6. Previous topics such as Solving equations & Consecutive Integer problems

Test Topics for ME92

1. Find Ratios & Solve Proportion word problems
2. Find Percent of a number including Finding percent decrease or increase
3. Solve one-step,two-steps inequalities , compound inequalities and graph inequalities
4. Solve word problems with inequalities
5. Multiply & Divide monomials by monomials
6. Previous topics such as Solving equations & Consecutive Integer problems

ME12 Aim: How do we solve more difficult percent problems?

HW: Complete even number questions on lesson handout sheet and practice exercise below.

Lesson Review

http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent.htm

Practice Exercise:http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracPer.htm

ME92 Aim: How to Multiply or Square Monomials?

HW: Do side 2 of worksheet and/or practice exercises below

Lesson Review:
http://www.algebra-online.com/multiplying-monomials-1.htm
http://www.teachertube.com/view_video.php?viewkey=151ef85e617f5aa3867a


Practice Exercises:
http://www.studyzone.org/mtestprep/math8/g/8multmonop.cfm
http://www.studyzone.org/mtestprep/math8/g/8multmonoquiz.cfm

ME12 Aim: How to solve precent increase or decrease problems?

HW: Complete side 2 of worksheet or do practice exercises below.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent2.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracPer.htm
http://www.kutasoftware.com/FreeWorksheets/Percent%20C

ME92 Aim: How to solve compound inequality equations?

HW: Complete side 2 of worksheet or do practice exercises below.

Lesson Review:

http://www.algebra-online.com/solving-compound-inequalities-1.htm

Practice Exercises:

http://www.regentsprep.org/regents/math/ALGEBRA/AE8/Pinequalompound.htm

ME12: How to Find Percent of a Number?

HW: Complete Worksheet by doing the even numbered questions or do practice exercises below.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/

ME92 Aim: How to solve verbal inequality equations?

HW: Page 159-160 / # 11 to 15 and #21 to 23

Lesson Review:
Brian wants to ride the Ultramonster roller coaster. He observes the sign at the entrance that says riders must be at least forty-six inches tall to ride the roller coaster. Since Brian was at the doctor's office yesterday he remembers they said he was

three and a half feet tall. Is he tall enough to ride the Ultramonster?

http://math.com/school/subject2/lessons/S2U1L4GL.html
http://www.math-videos-online.com/inequality-word-problem.html
http://answers.yahoo.com/question/index?qid=20071117173633AA718ep

Practice Exercises:
http://www.algebralab.org/practice/practice.aspx?file=Word_Inequalities.xml

ME12 Aim: How to Write Ratios & Solve proportion problems?

HW: Page 213/ # 3, 8, 9, 13, 16 and Page 215/ # 9, 11

Lesson Review:
http://www.purplemath.com/modules/ratio.htm
http://www.mathleague.com/help/ratio/ratio.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracRatio.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracProp.htm

ME92 Aim: How to solve one or more steps inequality equations?

HW: Complete side 2 of worksheet or do the practice exercises below.

Lesson review:

http://www.purplemath.com/modules/ineqlin.htm

Practice Exercises:

http://kutasoftware.com/FreeWorksheets/Graphing%20Inequalities.pdf
http://kutasoftware.com/FreeWorksheets/Two-Step%20Inequalities.pdf

ME12 Aim: Additional Coin Problems

HW: Complete Side 2 of worksheet

Lesson Review:

Nathalie has five times as many nickels than dimes. If she has a total of $3.15, how many nickels does she have?

Let x represent the number of dimes and 5x represent the number of nickels.
Let $3.15 = 315 cents
Then the total value : 10x + 25(5x) = 315
which simplifies to : 10x + 125x = 315
which simplifies to: 135x = 315
which simplifies to: x = 3

Solutions: 3 dimes and 5(3) = 15 nickels


Practice Exercises:
http://www.youtube.com/watch?v=M4-xobpf3EM

ME92 How to Graph and solve an inequality equation?

HW: Complete side 2 of worksheet or do the practice exercises below.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/LSolvIn.htm
http://www.onlinemathlearning.com/algebra-inequalities.html


Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/PSolvIn.htm

ME12 Aim: What are the values of Coins and how to find how many of them?

HW: Pg. 139/ #35 and Pg. 141/ #42 and complete class worksheet

Lesson Review:
Keep in Mind
Number of coins x Value of each coin in cents = Total value of the coins in cents


Bill has 4 times as many quarters as dimes. In all he has $2.20. How many coins of each type does she have?

Solution: Let x= number of dimes and 4x = number of quarters
The value of a dime is 10 cents and the value of a quarter is 25 cents
The total value of all the coins is 220 cents.
Write the equation: 10x + 25(4x) = 220
10x + 100x = 220
110x = 220
x= 2
Answers: 2 dimes and 4(2) = 8 quarters

http://mathforum.org/dr.math/faq/faq.coins.html
http://www.purplemath.com/modules/coinprob.htm


Practice Exercises:
http://www.onlinemathlearning.com/coin-problems.html#coin

ME92: How to calculate Percent Increase or Decrease ?

HW: Page 232/ #40, 43 and Complete side 2 of worksheet

Lesson Review: General Rule = Difference in price/ original price times 100

During a sale, the price of a dress decreased from $48 to $32. What was the per cent of the decrease in price?
First find the difference in price. $48 - $32 = $16

To find the percent we divide the $16 by the original price of $48 and then multiply by 100 to get the perent. 16/48 times 100 = .333 times 100 = 33.3 %

Practice Review:

http://kutasoftware.com/PreAlgWorksheets/Finding%20Percent%20Change.pdf

ME12/92 Aim: Review Day

End of first quarter: Hand in your extra credit project & test corrections.
PSAT Test day - special schedule

No Homework

ME12 Aim: How to solve Distrance,Rate and Time Problems?

HW: Get you extra credit & test corrections done.
Complete side 2 of worksheet
Lesson Review: D = RT
Example problem: How far can a man drive out into the country at the average rate of 40 mph and return over the same road at the average rate 30 mph if he travels a total of 7 hours?
Need to find T then substitute in RT to find distance in D=RT

Tout + T back = 7 hrs and Distance out is same as the Distance back

Tout + Tback = 7hrs.
Let Tout = X
X +Tback = 7hrs
subtract X from both sides:
Tback = 7hrs - X
So: T out = X and T back = 7-X

Dout = RT = 40mph x X
Dback = RT 30mph x (7-X)
If Dout = Dback
Then 40X = 30 (7-X)
40X = 210 -30X
40X + 30X =210
70X = 210
X=3 hrs
Dout = RT = 40(3) = 120 miles
as a check Dout should = Dback
Dback = RT = 30 (7-x) = 30(7-3) = 30(4) = 120 miles

Opposite motion problems: Remember that Distance is = to the rate or speed times the time D = RT in all of the following problems D is replace by the values of RT when known or by one of the values and a variable either R or T.


Example: Two cars start from the same point at the same time and travel in opposite directions. The slow car travels at 28 mph,and the fast car travels at 35 mph.
In how many hours will the cars be 252 miles apart?
Given is R for each car and the total distance travelled by both cars going in opposite directions.
Find T, the time, in hours travelled that each car travelled.

Solution: Start by defining a Let Statement:
Let x = the number of hours traveled by each car. Both cars are travelling for the same time T.
Let Slow car distance be D1 and fast car distance be D2

For Car 1 D1 = R1T For Car 2 D2 = R2T

D1 + D2 = Total Distance Now substituting RT for distances D1 and D2

R1T + R2T = Total Distance
28mph x X + 35mph x X = 252 miles
28X + 35X = 252 miles.
63X = 252
X= 4 hrs


Practice Exercise:
http://kutasoftware.com/FreeWorksheets/Distance%20Rate%

ME92 Aim: Continue with Solving Verbal Percent Questions

HW - Textbook Page 231-232 / #28 - 31 and 41

Lesson Review: Read in your textbook the examples on pages 239-230.

Practice Exercises: http://kutasoftware.com/FreeWorksheets/Percent%20Problems.pdf

For ME12 Aim: How to calculate with D = RT formula?

Homework: Do side 2 of handout- All questions.

Lesson Review:

Example: Two cars start from the same point at the same time and travel in opposite directions.
The slow car travels at 28 mph,and the fast car travels at 35 mph. In how many hours will the cars be 252 miles apart?

Let h = the number of hours traveled by each car.
First fill in the rate and time for each car.
Then represent the distance for each car.
(mph) (hr) (mi)
Rate times Time equal Distance
Slow car 28 times h = 28h
Fast car 35 times h = 35h
The total distance traveled is 252 miles
28h + 35h = 252
63h = 252
h = 4 Solution is 4 hours

Practice Exercise:
http://kutasoftware.com/FreeWorksheets/Distance%20Rate%20Time%20Word%20Problems.pdf

For ME92 Aim: How do we work with percent problems?

Homework: Complete handout sheet

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracPer.htm

Tuesday, October 7, 2008

Aim: Review for Test #2

Test 2 Tomorrow. See test topics posted in the previous 3 days posts.

Homework: Complete and study topics of test 2 review sheet.

Aim: How do we work with ratios and proportions?

Homework: Handout, side 2, All questions
Post answers here for extra credit (click on Comments field below to post).

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lratio.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lprop.htm

Practice exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracRatio.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/p

Aim: How do we solve consecutive odd or even integers?

HW: Side 2 of Worksheet - All questions

Lesson Review: For consecutive odd or even integers, also always start with a Let Statement and
increment by 2:
Example
Let:
1st # = x
2nd # = x+2
3rd # = x+4
4th # = x+6
Then translate a verbal problem into an algebraic equation and solve.

Aim: How do we solve consecutive integer problems ?

Aim: How do we solve consecutive integer problems ?

Test #2 on Wednesday Oct 8: Will include

• Adding and subtracting monomials and polynomials
• Solving 1 and two step equations with variables on one and two sides
• Solving Literal equations
• Solving verbal problems with equations
• Solving consecutive integer problems
• Solving consecutive even and odd integer problems
• Ratio and proportion problems
  

Homework: Side 2 "Consecutive integer problems, all problems

Post answers here for extra credit (click on Comments field below to post).
Lesson review: For consecutive integers, always start with a Let Statement and
increment by 1:
Example
Let:
1st # = x
2nd# = x+ 1
3rd #= x + 2
4th # = x + 3 set of numbers
Then translate a verbal problem into an algebraic equation and solve

For consecutive odd or even integers, also always start with a Let Statement and
increment by 2:
Example
Let:
1st # = x
2nd # = x+2
3rd # = x+4
4th # = x+6
Then translate a verbal problem into an algebraic equation and solve

Monday, September 29, 2008

Aim: How do we solve verbal problems modeled with algebraic equations II?

Note: Test #2 Next Wednesday, October 8th
Homework: Complete handout sheet, all problems.


PracticeExercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE1/PAlgTrans.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PTransSolvEq.htm

AIM: How do we solve verbal modeled with an equation?

Homework: Complete handout sheet, all problems.
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE1/PAlgTrans.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PTransSolvEq.htm

Aim: What are literal equations and how do we solve them?

HW: Textbook Page 143/ # 4 to 20 even numbers

Lesson Review:http://www.regentsprep.org/Regents/math/ALGEBRA/AE4/litless.htm

Practice Exercise:http://www.regentsprep.org/Regents/math/ALGEBRA/AE4/litPrac.htm

Aim: How to solve variables on both sides of the equal sign?

HW: Textbook - Page 132 / # 4, 6, 14, 16, 18, 24, 28, 38

Lesson Reviews: Hint-Use Additive inverse of variable term first

http://www.purplemath.com/modules/solvelin2.htm

Practice Exercises:

http://www.kutasoftware.com/FreeWorksheets/Multi-Step%20Equations.pdf

Aim: How to Solve An Equation by combining like terms or using the distributive property first?

HW: Page 127/ #4 - 24 Even Numbers and Do side 2 of worksheet for extra credit.

Lesson Reviews:

http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/LSolvEq.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PSolvEq.htm

Aim: How to add and subtract polynomials?

HW: In the textbook, Page 172 / #4 - 22 even numbers only

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/slike.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sp_add.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sp_subt.htm


Practice Exercises:

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sprac_a.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sprac_s.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sprac_m.htm

Test Today

No H.W. - Have a good weekend.

If you are absent today, you can take the test on Monday provided that you bring in a note from your parent explaining your absence.

See the list of topics below.

Aim: Study Topics for Test #1

Test on Friday, Sept. 19, 2008

HW: Study all classnotes and homeworks. You can go to each Lesson on this website and do the practice exercises.

• Aim: How to use the distributive property to simplify the expression?
  
• Aim: How to solve equations by two or more steps?...
• Aim: How to solve equations by one step?
• Aim: What are the Properties of Real Numbers?
• Aim: What is an open sentence?
• Aim: How do we translate algebraic expressions?
• Aim: How do we evaluate algebraic expressions?
• Aim: How do we multiple & divide signed numbers?
• Aim: How Do We Add & Subtract Signed Numbers?

Good Luck tomorrow.

Aim: How to use the distributive property to simplify expressions?

HW: Do even numbers from both sides of today's worksheet.

Lesson Review: Use the Distributive Property 5(x + 3 ) + 2
Then combine like terms 5x + 15 + 2 = 5x + 17
http://www.regentsprep.org/Regents/math/polyadd/slike.htm

Practice exercises:
http://www.regentsprep.org/Regents/math/polyadd/sprac_m.htm

Test 1 is on Friday, September 19.

The test is the whole period and will include the following topics:

1. Evaluating algebraic expressions
2. Translation of english statements to algebraic expressions
3. Finding solutions sets for opens sentences for a given domain
4) Defining and recognizing the properties of real numbers.
5) Solve one and two step equations
6) Distribute terms in an expression
7) Combining terms of an an expression

Aim: How to solve equations by two or more steps?

HW: Do all questions on side 2 of worksheet.

Lesson Review: Again, decide on which inverse to use for the first step: additive or multiplicative.
Example 1: 3x + 4 = 10 -----use the additive inverse of +4
- 4 = - 4
then continue 3x = 6----------use the multiplicative inverse by dividing by 3
Solution x = 2

Practive Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PTransSolvEq.htm

Answers to Homeowrk:
side one w/ work
2) 4(1) + 4(9x) = 4 + 36x 4) 2(9m)+ 2(10) = 18m + 20 6)
8(-b) - 4(8) = -8b - 32 8) -6(x) + -6(4) = -6x - 24 10) (-4)(-6p) + (-4)(7) = 24p -28 12) 5(x) + 5(9) = 5x + 45 14) -6(7) + -6(x) = -42 -6x 16) -5(10x) + -5(1) = -50x - 5 18) -8(1) + -8(-5x) = -8 + 40x 20) -5(7a) + -5(-6)= -35a + 30 22) 4(3r) - 4(8) = 12r - 32 24) -10(1) + -10(9x) = -10 -90x\

side two w/o work2) 12r - 20 4) -14x6) 4x + 11 8) 11v 10) 6p 12) -6n - 5 14) 1 + 9n 16) 3n 18) -k 20) -4n22) 2n + 18 24) 19 - 45n 26) -21 + 4m 28) -8n + 23 30) -71n - 29

Aim: How to solve equations by one step?

HW: Do all questions form side 2 -worksheet.

Lesson Review:
Use Additive Inverse or Multiplicative Inverse Rule for first step.

http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/LSolvEq.htm

Practice exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PSolvEq.htm

Aim: What are the Properties of Real Numbers?

HW: Do even numbers

Lesson Review:
http://www.regentsprep.org/Regents/math/realnum/propT2.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AN1/propPrac.htm

Aim: What is an open sentence?

HW: Worksheet - Do all the questions on side 2.

Lesson Review: An open sentence is a mathematical statement that contains two algebraic expressions and a symbol that compares them.

An equation is an open sentence that contains the symbol =. An inequality is an open sentence that contains one of the symbols <, >, less than or equal to, greater than or equal to.

Solutions:When you substitute a number for the variable in an open sentence like x + 2 = 5 or 2y>6, the resulting statement is either true or false. If the statement is True, the number is a solution of the equation or a solution of the inequality.

http://www.regentsprep.org/Regents/math/opensent/Lopensen.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/opensent/PracOpen.htm

Aim: How do we translate algebraic expressions?

HW: Worksheet - Do Even Numbers on side 9/10/08 and Do #9 - 12 on side 2 of new sheet

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV1/LAlgRep.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV1/PAlgRep.htm

Aim: How do we evaluate algebraic expressions?

HW: Worksheet even numbers only

Lesson Review:
A variable is a letter used to represent one or more numbers. The numbers are the values of the variable.
An algebraic expression or variable expression,consists of numbers,variables and operations.
To evaluate an algebraic expression, substitute a number for the variable, perform the operation(s),and simplify the result, if necessary. The resulting number is the value of the expression.

http://www.regentsprep.org/Regents/math/ALGEBRA/AO7/Labsolute.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/orderop/evalPrac.htm

http://www.regentsprep.org/Regents/mhath/ALGEBRA/AO7/pracAbs.htm

Aim: How do we multiple & divide signed numbers?

HW: Handout Multiply & divide : do even numbers only

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP3/Smult.htm
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP3/Smixed.htm

Aim: How Do We Add & Subtract Signed Numbers?

HW : Worksheet Side 2 -Even Numbers

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP3/Sadd.htm
Practice exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP3/Smixed.htm