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ALG II Agenda 9712 Ch14&6.notebook 1 September 12, 2012 Aug 299:58 AM Algebra II Agenda For 9/07/12 Heads-Up! ALWAYS BRING YOUR TEXTBOOK AND NOTEBOOK TO CLASS! What are we learning for today? Homework Review (15 Minutes) Start Lesson on Rewriting Formulas and Equations (Ch 1 Section 4) @ Rewrite Formulas and Equations - Simplifying by Combining Like Terms Quiz (7 Problems in 15 Minutes) @ Peer-Grading the Quiz (2 Minutes) @ Help your group correct their Quiz Mistakes (3 minutes) Start Lesson on Solving Linear Inequalities (Ch 1 Section 6)

Algebra II Agenda For 9/07/12 · Algebra II Agenda For 9/07/12 Heads-Up! Using the Restroom! Group Roles! - Calculators, RED/BLUE Pens, Submitting Assignments. TO USE THE RESTROOM,

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  • ALG II Agenda 9712  Ch14&6.notebook

    1

    September 12, 2012

    Aug 299:58 AM

    Algebra II Agenda For 9/07/12Heads-Up!

    ALWAYS BRING YOUR TEXTBOOK AND NOTEBOOK TO CLASS!

    What are we learning for today?Homework Review (15 Minutes)Start Lesson on Rewriting Formulas and Equations (Ch 1 Section 4)

    @ Rewrite Formulas and Equations- Simplifying by Combining Like Terms

    Quiz (7 Problems in 15 Minutes)@ Peer-Grading the Quiz (2 Minutes)@ Help your group correct their Quiz Mistakes (3 minutes)

    Start Lesson on Solving Linear Inequalities (Ch 1 Section 6)

  • ALG II Agenda 9712  Ch14&6.notebook

    2

    September 12, 2012

    Aug 299:58 AM

    Algebra II Agenda For 9/07/12Heads-Up!

    Using the Restroom!Group Roles! - Calculators, RED/BLUE Pens, Submitting Assignments.

    TO USE THE RESTROOM, Please inform me that you are leaving! When you leave you may be missing a quiz or important material and its difficult to make it up. So again, check with me first before going tothe restroom.

    GROUP ROLES! Each class as you arrive, one table will be responsible for making sure ALL the calculators are back (24 calculators), ALL the Red and Blue Pens (20 of each) are back, and for collecting assignments from each table.

    This helps us save time. And your teacher appreciates the extra help.

  • ALG II Agenda 9712  Ch14&6.notebook

    3

    September 12, 2012

    Aug 299:58 AM

    Algebra II Agenda For 9/07/12Heads-Up!

    HOW I WOULD LIKE TO SEE YOUR WORK!

    Welcome to Algebra II, if you didn't have to show your work before, you do now. I know it may be difficult for some of you (if you think it is easy so far), but know

    NO WORK NO CREDIT!

    Especially with number lines, I would like to see a number line labeled completely from setup to the given values.

    10 2 3 4 5 6 7 8 9 1012345678910

    -9 -5.5-43 √5 7.1

  • ALG II Agenda 9712  Ch14&6.notebook

    4

    September 12, 2012

    Aug 309:57 AM

    Homework Check!Ch1 - S2 - pg. 13 #27-31 odds, and #37-49 odds

  • ALG II Agenda 9712  Ch14&6.notebook

    5

    September 12, 2012

    Aug 309:57 AM

    Homework Check!Ch1 - S3 - pg. 21-22 #3-39 odds, #43-47 odds, and #51-54 all

    =  8 3 

    =  4 3 

  • ALG II Agenda 9712  Ch14&6.notebook

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    September 12, 2012

    Aug 309:57 AM

    Homework Check!Ch1 - S3 - pg. 21-22 #3-39 odds, #43-47 odds, and #51-54 all

    x = 6

    = 8= 15

    x = 4= 9

    = 116 =

    x = 2 x = 5

    = 36 = = 8

    = 5

  • ALG II Agenda 9712  Ch14&6.notebook

    7

    September 12, 2012

    Sep 79:55 AM

    LCD: 7 * 9 = 63Note: When we find the LCD, we find it ALL fractions

    What do we have to do to solve this problem?Find the Least Common Denominator (LCD)

    keep or make the largest variablepositive

    2763

    14 28639w w- = +63 63

    2763

    14 28639w w- = +63 63

    27w - 14 = 28w + 9-27w -27w

    once the denominators are the same, we can cross them out

    - 14 = w + 9-9-9

    - 23 = ww = - 23

    What is a perimeter?Try this: Let's say we have 

    3

    1

    2

    Then the Perimeter is the total length of all sides.

    P = 1 + 2 + 3

    So how does this apply to our problem?

    P = total length of ALL sides26 = (14  2x) + (2x + 1) + (3x  1)

    26 = 14  2x + 2x + 1 + 3x  126 = 3x + 1414 14

    12 = 3x33

    4 = xx = 4

    Looking Over the Homework

  • ALG II Agenda 9712  Ch14&6.notebook

    8

    September 12, 2012

    Sep 45:46 PM

    #1 #2

    #3

    #4 #5

    4x -3x2

  • ALG II Agenda 9712  Ch14&6.notebook

    9

    September 12, 2012

    Sep 104:10 PM

    Three steps#1. Solve for y.

    #2. Plug in value for x.

    #3. Check your work.

    Check your work.

    9x - 4y = 7 When solving for y, we would like to get it in this form:y = mx + b

    x = -5

    9x - 4y = 7confirming left side =right side

    -9x -9x-4y = -9x + 7-4 -4

    y = 9 74x - 4

    y = 9 74(-5) - 4

    y = -45 74 - 4y = -524 = -13

    9(-5) - 4(-13) = 7-45 + 52 = 7

    7 = 7

  • ALG II Agenda 9712  Ch14&6.notebook

    10

    September 12, 2012

    Sep 104:11 PM

  • ALG II Agenda 9712  Ch14&6.notebook

    11

    September 12, 2012

    Sep 104:12 PM

    6y (2 + (-3))=

    (2 + x)y(2 + x)

    (2 + x)6=

    2y + xy = 6

    #1. Solve for y.We have to factor.What do we factor? Answer: terms in common

    Sometimes we have to rewrite equations, we have the case appear with TWO of the same variables.

    Looking at our problem, notice we have two y's

    2y + xy = 6THIS IS NEW AND CAN BE REALLY TOUGH! MAKE GOOD NOTES!How do we solve a problem like this?

    2y + xy = 6y(2 + x) = 6

    Factoring can be hard. Its reverse distributing. If you aren't sure if you distributed correctly, redistribute your factors.

    y(2 + x) = 6 2y + xy = 6=>Check it by redistributing

    Returning to the original problem. Here comes the hardest part. To solve for y you have to divide by (2 + x) on both sides

    y (2 + x)6=

    You are not use to doing that, but its not new. Don't believe me? Look at Problem #21.

    xy - 3x = 40+3x +3x

    xy = 3x + 40x x

    3x + 40xy =

    If we solved for the following problem, we divide by x to find our solution, therefore the problem above is only taking what we know one step further

    #2. Plug in for your variable. x = -3

    6y (-1)=

    y = -6

    #3. Check it. Plug variable values back into original equation.2y + xy = 62(-6) + (-3)(-6) = 6

    x = -3, y = -6

    -12 + 18 = 66 = 6

  • ALG II Agenda 9712  Ch14&6.notebook

    12

    September 12, 2012

    Sep 104:12 PM

    Guided Practice Problems pg 28 #8-13.

    y=6x+7

  • ALG II Agenda 9712  Ch14&6.notebook

    13

    September 12, 2012

    Sep 104:13 PM

  • ALG II Agenda 9712  Ch14&6.notebook

    14

    September 12, 2012

    Sep 104:13 PM

  • ALG II Agenda 9712  Ch14&6.notebook

    15

    September 12, 2012

    Sep 104:13 PM

    Guided Practice Problems pg 26 #3-7.

  • ALG II Agenda 9712  Ch14&6.notebook

    16

    September 12, 2012

    Aug 309:57 AM

    • Tonight's Homework - Due on Tuesday!

    Ch1 - S4 - pg. 30-31 #7-13 odds, #21-25 odds, and #18-19 allCh1 - S6 - pg. 44-45 #3-13 odds, #17-33 odds, and #37-51 oddsCh1 - S7 - pg. 55-56 #3-31 odds, #35-39 odds, and #43-61 all

    REMEMBER, YOU MUST SHOW ALL WORK!

  • Attachments

    Syllabus_LSantiago Algebra II.docx

    Aiken  Ninja Challenge for Algebra I  System of Linear Equations.pptx

    Alexander M. Patch American High School

    Algebra II- Course Syllabus

    2011-2012

    Teacher: L. Santiago

    Room: 429

    E-mail: [email protected]

    I. Course Description

    The purpose of this course is to continue the study of algebra and to provide the foundation for applying algebraic skills to other mathematical and scientific fields.

    The content should include, but not be limited to, the following:

    · Structure and properties of the complex number system,

    · arithmetic and geometric sequences and series,

    · relations, functions and graphs extended to polynomial, exponential, and logarithmic functions -varied solution strategies for linear equations, inequalities, and systems of equations and inequalities -varied solutions strategies, including the quadratic formula, for quadratic equations -conic sections and their applications,

    · data analysis, including measures of central tendency and dispersion -probability, permutations, and combinations.

    II. Assessment

    A) Grades will be determined on a point system. Students will receive points for every test, quiz, homework and classwork. To find your grade you add up the total point you received and divide by the total points will be your grade in the class.

    B) (Scale:A: 90-100B: 80-89C: 70-79D: 60-69F: 59 and below )Students are allowed to retake quizzes once and make test corrections for half of their missing points.

    C) Students will be graded on:

    · Homework and class work

    · Test and Quizzes

    · Projects and Special Assignments

    · State Grading Scale:

    III. Materials

    Textbook, only pencils, notebook or loose leaf paper, graph paper and other materials.

    IV. Expectations: B e HERE, Be PREPARED, Be RESPECTFUL, Be on TASK, Be HONEST

    · Be in your seat and working when the bell rings, and remain in your seat until the dismissal bell rings.

    · Bring all supplies and workbooks to class each day. (In your locker does not count.)

    · Follow all directions the first time they are given.

    · Be respectful. This includes your attitude, your behavior, and your comments.

    · No food or drink other than water is allowed in class.

    · All Patch High School rules found in the Student Code of Conduct apply.

    V. Quality Work:

    · Is complete. That is, all problems are completed or at least attempted.

    · The supporting work for each problem is shown completely.

    · The work is done neatly.

    · The work is done accurately.

    VI. Late Work

    · Students with excused absents will have the same number of days they were absent plus one extra day to turn in their assignments/projects without loosing points.

    · Late work will receive less credit than work turned in on time.

    · Late work will not be accepted after Chapter is completed.

    VII. Extra help and Parent Contact

    · To get help: Before school from 7:45- 8:00am, during Seminar with a Seminar Pass only and after school from 2:40- 3:30 pm.

    · Parent conferences are to be scheduled through the Guidance Counselor.

    NOTE: This Syllabus is subject to change.

    As a student, I have read the above and understand what is expected of me in Mrs. Santiago class and I agree to make every effort to complete to my highest potential all requirements for this class.

    Student Name:_________________________________

    Student Signature:______________________________

    Student /E-mail:___________________________@_______________________

    As a parent/guardian of the student named above, I have read the above and agree to be supportive of my son/daughter. I will help and support them to the best of my ability to meet the high expectations and standards necessary to complete this course successfully.

    Parent/Guardian Name:_________________________

    Parent/Guardian Signature:______________________

    Parent E-mail: ___________________________@________________________

    SMART Notebook

    NINJA CHALLENGE

    Object of the Game:

    Students will be divided into three teams.

    One member from each team will be chosen to compete against each other per round.

    In each round, the challengers must use their impressive skills to solve a problem using a pre-selected method. After a challenger has finished solving the problem, he/she must present their work to the sensei who judges the work for accuracy. To achieve true glory, the solution must be correct upon which he/she must run to the smartboard and hit their respective challenger button.

    Rules of the Game

    Points System:

    Individual Challenges – Speed is not necessarily the key to victory. The challenger with the most accurate solution wins.

    Team Work – While the challengers compete for glory, each of their teams are also completing the problems. That means, everyone in the class must work out the problems at the same time! The team with the most correct responses wins the respective round.

    Pay Careful Attention to the Challenges!

    Some challenges require the challengers to use different methods

    Other challenges require the challengers to use the same method to achieve victory

    Round One: Choose 3 Challengers to Use the Different Methods of Solving Systems of Linear Equations!

    Challenger 1:

    Solve by using the Graphing Method!Challenger 2:

    Solve by using theSubstitution Method!Challenger 3:

    Solve by using Elimination Method!

    Challenger 1

    Challenger 2

    Challenger 3

    Round Two: Choose 3 Challengers to Use the Different Methods of Solving Systems of Linear Equations!

    Challenger 1:

    Solve by using the Graphing Method!Challenger 2:

    Solve by using theSubstitution Method!Challenger 3:

    Solve by using Elimination Method!

    Challenger 1

    Challenger 2

    Challenger 3

    Round Three: Choose 3 Challengers to Solve the System of Linear Equations Using Elimination!

    Challenger 1:

    Solve by using the Elimination Method!Challenger 2:

    Solve by using theElimination Method!Challenger 3:

    Solve by using theElimination Method!

    Challenger 1

    Challenger 2

    Challenger 3

    Round Four: Choose 3 Challengers to Solve the System of Linear Equations Using Substitution!

    Challenger 1:

    Solve by using the Substitution Method!Challenger 2:

    Solve by using theSubstitution Method!Challenger 3:

    Solve by using theSubstitution Method!

    Challenger 1

    Challenger 2

    Challenger 3

    Round Five: Choose 3 Challengers to Solve the System of Linear Equations Using Substitution!

    Challenger 1:

    Solve by using the Substitution Method!Challenger 2:

    Solve by using theSubstitution Method!Challenger 3:

    Solve by using theSubstitution Method!

    Challenger 1

    Challenger 2

    Challenger 3

    Round Six: Choose 3 Challengers to Solve the System of Linear Equations Using Elimination!

    Challenger 1:

    Solve by using the Elimination Method!Challenger 2:

    Solve by using theElimination Method!Challenger 3:

    Solve by using theElimination Method!

    Challenger 1

    Challenger 2

    Challenger 3

    Round Seven: Choose 3 Challengers to Solve the System of Linear Equations Using Elimination!

    Challenger 1:

    Solve by using theElimination Method!Challenger 2:

    Solve by using theElimination Method!Challenger 3:

    Solve by using theElimination Method!

    Challenger 1

    Challenger 2

    Challenger 3

    Final Round: Choose 3 Challengers to Solve the System of Linear Equations Using Elimination!

    Challenger 1:

    Solve by using theElimination Method!Challenger 2:

    Solve by using theElimination Method!Challenger 3:

    Solve by using theElimination Method!

    Challenger 1

    Challenger 2

    Challenger 3

    SMART Notebook

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