Aim: How do we factor an algebraic expression ax2+ bx + c when a is not equal to1 ?

Homework: Complete handouts; both sides

Aim Test 6 Review

ANNOUNCEMENT : TEST 6 TOMORROW

Topics to be covered as a minimum:

• Identifying a GCF
• Factoring GCF
• Factoring the difference between PERFECT SQUARES
• Factoring a Quadratic Expressions of the form ax^2 + bx + c when a = 1
• Factoring completely
• Solving equations
• Translation problems
• Solving a fraction equation

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

Homework: Complete Handout side 1 #'s 5 to 21,
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

Aim: ME 92 How do we factor the difference of perfect squares completely?

Homework: 1) Hand out sheet, Circled #'s only.
Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/LtriComplete.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact6.htm

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

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Homework: Complete side 2 of 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.htm

http://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: Test 5 Review

Notice All Classes:Test 5 on Thursday December 10 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, + others
ME12/92Homework: Handout, complete both sides.

Aim: ME 12 How do we perform operations with numbers in scientific notation format?

Notice All Classes: Test 5 Friday See previous posts for topics to included on test

ME12
Homework: Complete handout shee tabove and textbook problems pg 196 #'s 6, 7, 14, 20, 21, 23, 27, 35, 44.

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


PracticeLessons:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/page5a.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO2/PracScientific.htm

Aim 1st Quarterly Test Review Answer Key

Thursday, November 19, 2009

QUARTERLY TEST NOTICE
NOTICE: Quarterly test will be administered next Tuesday, November 24. Topics to be included but not limited to are as follows;
Motion problems
Coin problems
Consecutive integer problems
Solving and graphing inequalities
Solving e quations
Ratio Problems
Percent problems
Percent change problems
Properties of numbers
Adding and subtracting polynomials

QUARTERLY TEST NOTICE

NOTICE: Quarterly test will be administered next Tuesday, November 24. Topics to be included but not limited to are as follows;

1. Motion problems
2. Coin problems
3. Consecutive integer problems
4. Solving and graphing inequalities
5. Solving e quations
6. Ratio Problems
7. Percent problems
8. Percent change problems
9. Properties of numbers
10. Adding and subtracting polynomials

Aim: Review all motion problems

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%20Time%20Word%20Problems.

Lesson Review:

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

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

Homework: Handout sheet side 2

Lesson Review:

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%20Time%20Word%20Problems.pdf

Homework: Handout sheet all problems

Lesson Review:

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%20Time%20Word%20Problems.pdf

Homework:Complete handout side 2 above plus, textbook pg. 139/ # 35,and 37 and pg. 132/#'s 4,25,33 and

post test review handout above.

Lesson Review:
Remember that the number of coins times the value of each coin in cents, is = total value of the coins in cents.

Example:
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 (x is always = to the coin in the problems that follows the word "than" or "as") then, 4x is = to the 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 $2.20 cents which is the same as 220 cents after we multiply $2.20 times 100 cents.

Now we write the equation: Dimes + Quarters = $2.20
x + 4x = $2.20 Now I can't add a dime and a quarter without converting then to cents, so:

(10)x + 25(4x) = $2.20 (100)
1 0 x + 100x = 220
110x= 220
x= 2 , so there are 2 dimes.
Therefore 4x quarters is 4(2) which = 8 quarters.
Practice Exercises:
http://mathforum.org/dr.math/faq/faq.coins.html
http://www.purplemath.com/modules/coinprob.htm
http://www.onlinemathlearning.com/coin-problems.html

Aim: Test # 3 Review Sheet 2 ANSWER KEY

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Homework; Complete Test Review Sheet # 2 (Answers on sheets above)

Test # 3 Tomorrow

Topics to be included are:

Percent problems

Percent change problems

Solving and graphing one step, two step inequalities

Solving inequalties with fractional terms

Solving ratio and proportion problems

Solving consecutive, even and odd integers problems

Equation solving

Properties of real numbers

Adding and subtracting polynomials

AIM: TEST 3 REVIEW

NOTICE: Test #3 this Thursday, November 5.

Topics to be included are:

Percent problems

Percent change problems

Solving and graphing one step, two step inequalities

Solving inequalties with fractional terms

Solving ratio and proportion problems

Solving consecutive, even and odd integers problems

Equation solving

Properties of real numbers

Adding and subtracting polynomials

Test reviews are above (click on sheets to enlarge)

Aim: How Do We Solve Linear Inequalities?

Homework: Complete odd # problems on handout

Lesson Review:

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

Practice Exercise;

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

Aim: How do we solve more difficult percent problems?

Homework: Complete odd #'s only

on lesson handout sheet.

Review:http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent.htmPractice
Exercise:http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracPer.htm

Aim; How do we solve all types of consecutive integer problems/

Homework

:Sheet

1"Consecutive integer problems, all problems both sides

For consecutive only integers
Aways 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

Video Mini Lesson
Posted by Mr.Napoli at 1:20 PM 2 comments

Aim: Test 2 Review

HomeWork; 1) Complete Test 2 Review Sheet #2

Note: Test #2 Next Thursday, October 15th

Test will cover the following topics;

• Solving 1 and 2 step equations
• Solving equations with distributive properties
• Combining like terms and adding and subtracting polynomials
• Properties of Real Numbers
• Solving verbal problems using equations
• Solving Literal Equations

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

Homework: Handout Lesson Review: 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: What is bivariate and univariate data?

Homework: Complete Handout Sheet



Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AD1/unidat.htm


Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AD1/unidat.htm

Aim: Test #13 Review

NOTICE: TEST THIS FRIDAY MAY 22, 2009 Review sheets attached>>>>>>>>>>

Topics to be included are:

• Venn Diagrams
• Probability
• Counting principle
• Solving equations
• Quantitative and Qualitative data identification
• Identifying functions
• Interval Set Notation

Aim: How do we solve AND and OR probability problems?

Homework: Complete handout both sides

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/APR8/LProbAO.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/APR8/PracAND.htm

Aim: How do we solve a system of linear quadratic equations?

Homework: Complete test review sheets 1 and 2. Answers are attached

NOTICE: Test 11 on Friday Nov 1.

Topics to be included are;

1. Solving systems of linear equations by substitution and elimination

2. Solving systems of linear inequalities

3. Solving systems of linear quadratic equations by graphing.

4. Graphing a parabola and determining the axis of symmetry and turning point.

5. Core algebraic problems

Aim How do we apply solutions of simultaneous to word problems?

Homework: Complete problems on the handout sheet. Answers are attached.

Lesson Review:

http://www.regentsprep.org/Regents/math/ALGEBRA/AE3/AlgSysAdd.htm

Practice Exercises:

http://www.regentsprep.org/Regents/math/ALGEBRA/AE3/PracWord.htm

Aim: How do we solve quadratic equations using the zero property method?

Homework: Worksheet handout side 2 all 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 Mini Lesson

Aim: How do we study for the midyear test?

NOTICE: MIDYEAR TEST THIS THURSDAY JANUARY 22, 2009

TEST WILL INCLUDE BUT NOT BE LIMITED TO THE FOLLOWING TOPICS:

Area, surface areas and volume of shapes.

• Factoring
• Solving quadratic equations using the zero product rule
• Solving fraction equations
• Operations with algebraic expressions, ie, adding. subracting, division, multiplication
• Solving and graphing inequalities
• Properties of numbers
• Consecutive integers

Aim: How do we find the volume of solid shapes?

Homework: Complete all problems on handout work sheet

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AS2/Solids2.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AS2/PracSol.htm

Aim: How do we find the surface areas of geometric shapes.

Homework: Finish all handout problems not completed in class.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AS2/Solids2.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AS2/PracSol.htm

Aim: How do we find the perimeter and area of trapezoids and polygons?

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

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AS1/RefARea.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AS1/Area1.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AS1/PracArea.htm

AIm: How do we find, perimeter and area of shapes

Homework: Handout even #'s both sides


Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AS1/RefARea.htm

http://www.regentsprep.org/Regents/math/ALGEBRA/AS1/Area1.htm
Practice Exersise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AS1/PracPer.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AS1/PracArea.htm