Chapter 9 Test Info

Chapter 9 Test
B2 - Test Tuesday
B4 - Test Friday
A2 - Test Monday
A3 - Test Monday

Chapter 9 Test - KNOW...

Monomials
-multiplying
-dividing

Scientific Notation

Polynomials
-Adding & Subtracting
-Multiplying

December 8th (B) and 9th (A)

9.7 Multiplying Polynomials
F.O.I.L. Method - to multiply two binomials, find the sum of the products.

First
Outside
Inside
Last

Assignment: p. 539 (#14-22) (30-34) - last homework assignment!

December 6th (B) and 7th (A)

NOTE: Counting today, there are 5 class days remaining until Semester Tests!

9.5 Adding and Subtracting Polynomials

You can only add and subtract things that are the same.
What makes terms the same?
1) same variables
2) same exponents

Assignment:
p. 525, #21-38

December 2nd (B) and 3rd (A)

9.3 Scientific Notation

A number in Scientific Notation is written in the form:
C x 10^n
**Requirements
~C must be between 1 and 10 (1 is less than or equal to C is
less than 10)
~N is an integer (...-2, -1, 0, 1, 2,...)

n is how many places to move the decimal
positive - right
negative - left

Assignment:
p. 509, #18 - 34

November 30th (B) and December 1st (A)

Corrected HW assignment p. 499 #16-31
Completed HW Quiz (#1-7 - cross off #2 and #6)

YOU CAN MAKE ARRANGEMENTS WITH MR. SCHWARTZ TO MAKE CORRECTIONS ON THE CHAPTER 8 TEST.

9.2 DIVIDING MONOMIALS

3 Rules:

1. Quotient of Powers
a^m/a^n = a^m-n

2. Zero Exponents
a^0 = 1

3. Negative Exponents
a^-n = 1/a^n

Reminder: ^ means to the exponent of...
/ - divide

Assignment: p. 504 (#14-28)

November 23rd (B) and 29th (A)

9.1 Multiplying Monomials

I can...
*Multiply Monomials
*Simplify expressions involving powers of monomials

Three rules:

Product of Powers
a^m x a^n = a ^m+n

Power of a Power
(a^m)^n = a^m x n

Power of Product
(ab)^m = a^m x b^m

note: exponents begin with ^

Assignment: P. 499 (#16-31)

Happy Thanksgiving!!

I hope everyone has a wonderful break! Eat lots of turkey and pie and come back ready to go for the last 3 weeks of the semester!

WHAT TO KNOW FOR THE UPCOMING TEST

B-Day Test: Friday, 11-19-10
A-Day Test: Monday, 11-22-10

**Solving Systems of Equations by:
-graphing
-substitution
-elimination

**Solving Systems of Inequalities by:
-graphing

^MAKE A NOTES SHEET FOR THE TEST.
^On the Test you can use:
^Notes sheet and old quizzes.

A GOOD REVIEW FOR THE TEST:
Questions on page 488
#12-15
#20-24
#30-31
#34-35
#42-43

November 17th (B) and 18th (A)

Review on Solving Systems of Inequalities by graphing
Homework Quiz

November 15th (B) and 16th (A)

8.5 Systems of Inequalities
MUST BE SOLVED BY GRAPHING

Step 1 - Graph Each Inequality
a) Solve for y
b) Graph line
1. b - begin
2. m - move
REMEMBER: greater than and less than is a dotted line AND greater than&equals and less than&equals is a solid line
c) Shade the TRUE side (the answer will be the shaded area that has been shaded TWICE)

Step 2 - Look for the OVERLAP
-That intersection is the solution (as shown by the graph)

Assignment: p. 485 (#19 - 29)

November 11th (B) and 12th (A)

Review solving System of Linear Equations by using
Elimination

Homework Quiz (may use notes, past assignments and
calculator)

No Homework

November 9th (B) and 10th (A)

Continue Solving Equations by Elimination
Assignment: p. 479 (#19-23)

November 5th (B) and 8th (A)

Assignment: Extra Practice Sheet
Do #3,4,7.8.9. and 10
Pick any two from #1,2,5 & 5

November 3rd (B) and 4th (A)

8.4 Elimination with Multiplication

Step #1 - Check to make sure that each equation is in the same form (Ax + By = C- standard form).
(Note: y = mx + b works also, but standard form is preferred.)
Step #2 - Decide which variable you are going to eliminate
Step #3 - Multiply (if necessary) to get x or y terms the same and solve.
Step #4 - Plug the solved value into one of your equations and find the other variable.
Step #5 - Check your solution.

Assignment: Extra Practice Worksheet

November 1st (B) and 2nd (A)

8.3 Solving systems by Elimination

Steps:

1. Put equations into same form: Standard form is highly suggested -> Ax + By = C
Make sure Equation #1 and #2 are in Standard Form.

2. Determine which variable to eliminate.

3. ADD or SUBTRACT

Note: If the two terms you are trying to eliminate have the same sign: SUBTRACT.
If the two terms you are trying to eliminate have different signs: ADD.

4. Solve!

Assignment: p. 473, #15-29 odds - skip #23

October 26th (B) and 27th (A)

Went over Assignment: 8-2 (#1-8) TOTALLY on the board

Also, gave students three more GREAT examples of how to Solve a System of Equations by Substitution

Assignment: 8-2 Practice Worksheet (#2,4,6,8,10, and 12)

October 22nd (B) and 25th (A)

8.2 Substitution

-- keeps it balanced!
--the two values must be equal!

Substitute means:
1. to put (something in place of another)
2. to take the place of; replace
3. to replace (one or more elements) with other elements

STEPS TO SOLVE A SYSTEM OF EQUATIONS BY SUBSTITUTION:

1. Solve ONE equation for ONE of the variables (Solve for x or y)
2. Substitute (replace) value of that variable into the OTHER equation
3. Solve that equation for the remaining variable
4. Find the value of the remaining variable (substitute again using equation from step 1)

Assignment: 8-2 Study Guide (#1-8)

October 20th (B) and 21st (A)

Review:

As a class we worked on identifying the terms in an equation, and how to "move" the terms from one side of the equal sign to the other (opposite). Four VERY explicit examples were discussed, shown on the Promethian Board, and analyzed.


Assignment: p. 459 (#33-38)

October 18th (B) and 19th (A)

8.1 Systems of Equations

System of Equations - Set of equations with the same variables.

It's solution is an ordered pair of number that make both equations true.

***WE CAN FIND THE SOLUTION BY GRAPHING AND LOOKING FOR INTERSECTIONS

Three types of solutions:

1. One Solution (where the two lines meet)
2. Parallel lines - NO Solution
3. Same line - Infinite - Many Solutions

Assignment: Worksheet 8.1 (#1-6)

October 13th (B) and 14th (B)

Chapter 7 TEST today

Over Sections 7.1, 7.2, 7.3 and 7.8

October 8th (A) and 11th (B)

Homework questions
Homework Quiz

Assignment: p. 440 (#26-30)

Next class: Test over 71.-7.2, 7.3, and 7.8

Chapter 7 Test:
Solving Inequalities
Set-builder Notation
Graphing on a number line
Replacement set
Graphing 2-variable inequalities

You can make one sheet of notes to take into the test. You can use your homework quizzes too.

For extra practice at home:
p. 444
#12-15 (7.1)
#18-21 (7.2)
#24-29 (7.3)
#48-64 (7.8)

1st Quarter missing work is due by Wednesday, 10-13-10 by 3:15.

October 6th (A) and 7th (B)

7-8 Graphing Inequalities in 2 Variables

*** treat like equations

I can...
*graph an equality on a coordinate plane

Steps:
1) Solve for y.
2) Graph the line.
3) Shade - Choose a test point and test it!

Remember:
LESS THAN or GREATER THAN is a dashed line Less than/equal to; or greater than/equal to; is a solid line

Assignment: 7-8 Study Guide and 7-8 Practice

October 4th (A) and 5th (B)

PowerPoint Notes
Text: 436-441
7-8/Worksheet (#1-6)

September 30th (A) and October 1st (B)

HOMEWORK QUIZ

Inequality Puzzle Activity.

September 28th (A) and 29th (B)

7.3 Solving More Inequalities

I can...
*solve an inequality with variables on both sides
*find a solution set given a replacement set

Review from Chapter 5
To solve, with variables on both sides:
1) Simplify (distribute, exponents, like terms)
2) Get variable terms on one side
3) SOLVE!

Replacement Set: A set of numbers from which values for the variable may be chosen.
*Simply limiting our choices.

Assignment: Page 402, (#16-44 EVENS)

September 22nd (A) and 23rd (B)

7.1-7.2 Solving Inequalities

I can...
*solve an equality using +, -, x, /
*graph solutions on a number line
*give solutions using Set-builder notation

Properties of Inequalities
1) You can add or subtract the same number from both sides.
2) You can multiply or divide by the same POSITIVE number on both sides.
#) You can multiply or divide by the same NEGATIVE number on both sides AND change the direction of the symbol.

Assignment: p. 388 (#17-32) and p. 396 (#20-21)

September 22nd (A) and 23rd (B)

7.1 and 7.2 SOLVING INEQUALITIES

I can...
~solve an inequality using +, -, x, /
~graph solutions on a number line
~give solutions using Set-Builder Notation

Properties of Inequalities
1. You can add or subtract the same number from both sides.
2. You can multiply or divide by the same POSITIVE number on both sides.
3. You can multiply or divide by the same NEGATIVE number on both sides AND change the direction of the symbol.

Assignment:
p. 388 (#17-32) work the first half using a graph/work the second half using Set-Builder Notation
p. 396 (#20-31)

September 20th (A) and 21st (B)

Test Today!

September 14th (A) and 15th (B)

Review #9 - Writing Linear Equations

To write a linear equation, you need -
1) slope
2) y intercept

Assignment: Skills Practice 8-7 (all)

September 10th (A) and 13th (B)

Review #8 - Slope-Intercept Form

Slope-Intercept Form: given the slope m and y-intercept (b) of a line, the slope-intercept form of an equation is: y = mx + b

m = slope
b - y-intercept

Assignment: Skills Practice 8-6 (all)

September 1st(A) and 2nd(B)

Test Today!

August 30th(A) and 31st(B)

Review #5 (Solving Equations with Variables on both sides)

I can...
- solve equations with variables on both sides
- solve equations containing grouping symbols

Step #1 - Simplify Each Side
* Distribute
* Exponents
* Combine like terms

Step #2 - Get all terms containing a variable to one side of the equal sign

Step #3 - SOLVE.

Assignment: Worksheet 7-1 (1-23 odds)

REVIEW
TEST IS OVER:
(A-Day/Sept. 1st and B-Day/Sept. 2nd)
*Add/Subtract Integers
*Absolute Value
*Distributive Property
*Simplifying (Like Terms)
*Order of Operations
*Solving Equations

Aug 26th(A) and 27th(B)

Review #4 (Solving Equations)

I can...
- solve an equation involving more than one operation.

SOLVE - Find the value of my variable "Get the variable one-on-one; one side of the equal sign."

To do: USE Order of Operations
1) Go BACKWARDS through Order of Operations
2) Perform OPPOSITE operations.

Assignment: Practice Worksheet 3-5 ODDS

August 24th(A) and 25th(B)

Review #3 (1.3) ORDER OF OPERATIONS

Remember that ORDER does matter!

Please Excuse My Dear Aunt Sally...

What does that mean?
1st - P = Parenthesis; grouping symbols such as parenthesis, brackets, fraction bar and absolute value.
2nd - E = Exponents
3rd - M = Multiplication
3rd - D = Division
5th - A = Addition
5th - S = Subtraction

In other words: PEMDAS must be the order that is followed.

Remember that Multiplication and Division happen at the same time; whichever comes first, from left to right. Remember that Addition and Subtraction happen at the same time; whichever of the two comes first, from left to right.

Assignment: Worksheet 1-3 Practice #1 - 15

August 20th(A) and 23rd(B)

Review #2 (Section 1.7) THE DISTRIBUTIVE PROPERTY

I can:
Use the distributive property to:
**simplify expressions
**multiply

DISTRIBUTIVE PROPERTY - for all real numbers a, b, and c

a (b+c) = ab + ac
a (b-c) = ab - ac

SIMPLIFY -
*Perform any operations (add, subtract, multiply, divide);
*Combine LIKE TERMS (terms with the same variable(s) to the same power(s)).
*ADD THE COEFFICIENTS

Assignment:
Worksheet 3-1 (#13-35 odds only)
and 3-2 (#13-25 odds only)

August 18th(A) and 19th(B)

Review #1 - Section 2.3 Adding and Subtracting Integers

Upon completion of this section:
I CAN...
- find the absolute value of a number.
- add and subtract integers (including negatives).

ABSOLUTE VALUE - A number's DISTANCE (cannot be negative) from zero on the number line.
- positive value of a number
- symbol: n

Remember: Integers are positive and negative!

RULES:

Adding Integers (2)
- To add integers with the same sign, ADD their ABSOLUTE VALUES and keep the common sign.

- To add integers with different signs, SUBTRACT their ABSOLUTE VALUES and keep the sign of the integer with the larger absolute value.

Subtracting Integers
- To subtract integers, ADD the OPPOSITE
*change 2 signs.

Assignment:

***Skills Practice Sheet #2-2 - COMPLETE: The FIRST COLUMN on the front of the sheet (page 63) and the back of the sheet (page 68)
A-Day is due on Friday, 8-20-10
B-Day is due on Monday, 8-23-10

Course Syllabus (Aug 16th and 17th)

Here is a copy of the Algebra B Course Syllabus .

Welcome Back!

Summer is over and you are fortunate enough to find yourself in Mr. Schwartz's Algebra B class!

I look forward to getting to know you this year, having some fun, laughing, and even learning a little math along the way. On this blog, you will find notes, assignments, and any important information on our class throughout the year listed on a day-by day basis. So if you miss a day of class, you can visit this site and get caught up on everything we covered that day.

If you ever need more help that this site provides, you can visit me in my room (C-14) or contact me via:
E-Mail: aaron.schwartz@north-scott.k12.ia.us
Phone: 285-3323

Lets have a great year!