ALGEBRA 2; AGENDA; DAY 48; MON. Oct. 31, 2011 BENCH WARMER:Find the determinant of the 3 x 3 matrix...

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ALGEBRA 2; AGENDA; DAY 48; MON. Oct. 31, 2011

• BENCH WARMER:Find the determinant of the 3 x 3 matrix

• OBJECTIVE: FINDING THE DETERMINANT AND USING CRAMER’S RULE WITH THREE VARIABLE EQUATIONS.

• ACTIVITIES: PAGE 221 [QUIZ SECTION] (McDougal’s Littell)

• HOME LEARNING: Check out “Homework video tutors” students resources.

ALGEBRA 2; AGENDA; DAY 49; TUE. NOV. 01, 2011

• BENCH WARMER: Find the values for x and y using Cramer’s rule: 2x + 4y = -5

• 3x - 3y = 11

• OBJECTIVE: Using calculator to multiply 3 x 3 matrices, finding determinants, and solve 3 variable equations.

• ACTIVITIES: Using McDougal Littell textbook and calculator to solve matrices.

• HOME LEARNING: Worksheet

ALGEBRA 2; AGENDA; DAY 50; WED. NOV. 02, 2011

• BENCH WARMER: Find the values for x and y using Cramer’s rule: 3x +2y = 0

• 2x – y + 2z = 3• 5y + 6z = 0

• OBJECTIVE: Find the inverse of a matrix. Using the calculator to solve inverse of a matrix.

• ACTIVITIES: See McDougal’s Textbook for activities.

• HOME LEARNING: WORKSHEET

ALGEBRA 2; AGENDA; DAY 51; THUR. NOV. 03, 2011

• Pop quiz: MATRICES; • BENCH WARMER: Find the inverse of the matrix:

• OBJECTIVE: Find the determinant, inverse matrix, and using Cramer’s Rule to solve for variables.

• ACTIVITIES: QUIZ; McDougal Littell Bk. Pg. 945 # 20, 22, 26, 30, 32, 34, 40, 44, 46, & 47

• HOME LEARNING: CHECK “Homework video tutor” from students resources section.

ALGEBRA 2; AGENDA; DAY 52; FRI. NOV. 04, 2011

• BENCH WARMER: Find the inverse of the matrix:

• OBJECTIVE: Review, finding the determinant, inverse matrix, and using Cramer’s Rule to solve for variables.

• ACTIVITIES: Discuss problems from Pg. 945, 20, 22, 26, 30, 32, 34, 36, 40, 46, 47; [See worksheet]

• HOME LEARNING: View “Home work tutor” on Chapter 4.1 transformation

ALGEBRA 2; AGENDA; DAY 53; MON. NOV. 07, 2011

• BENCH WARMER: Evaluate when x = -1, 0, 2.• • OBJECTIVE: Describe parts of a quadratic

function, and then graph.• ACTIVITIES: Collect worksheet on Matrices.

Students view Home work video tutor. Notes on the graph of a quadratic function.

• Pg. 199, # 8 – 36 (even)• HOME LEARNING: Class work (complete).

23 5;2 xy x

263( 7)y x

GRAPHING QUADRATIC FUNCTIONS

• A quadratic function has the form • Where a is not equal to 0. The graph of a quadratic

function is U-shaped and is called a parabola. The parabola opens up if a > 0 and opens down if a < 0. The parabola is wider than the graph of and narrower than the graph of

• The x-coordinate of the vertex is –b/2a.• The axis of symmetry is the vertical line • x=-b/2a.

2bx cy ax

21if ay x

GRAPHING QUADRATIC FUNCTIONS

• VERTEX & INTERCEPT FORMS OF A QUADRATIC FUNCTION.

• VERTEX FORM: The vertex is (h, k), The axis of symmetry is x = h.

• INTERCEPT FORM: The x-intercept are p and q. The axis of symmetry is halfway between (p, 0) and (q, 0).

• For both forms, the graph opens if a > 0 and opens down if a < 0.

( ) ky a x h

( )( )y a x p x q

• BENCH WARMER: Identify the characteristic of the graph. y= a(x – h)^2 + k

• OBJECTIVE: Complete worksheet on Quadratic functions.

• ACTIVITIES: Worksheet on Quadratic function (Teacher was absent)

• HOME LEARNING: Practice Lesson 4.1

• BENCH WARMER: Identify the characteristic of the graph. y= 2(x – 4)^2 + 5

• OBJECTIVE: Describe and graph the transformation of a quadratic function.

• ACTIVITIES: McDougal Littell bk. Pg. 254 #32-36 (even) & 38 – 49 (all) Worksheet; Lesson 4.1

• HOME LEARNING: Worksheet; Lesson 4.1.

• BENCH WARMER: Write the quadratic function in standard form. Y =1/2(x+2)^2 -3

• OBJECTIVE: Describe transformation of quadratic functions, graph quadratic functions, and write quadratic functions given vertex and point.

• ACTIVITIES: Worksheet lesson 4.1• HOME LEARNING: TEST on Tuesday 11/15/11: Watch

“homework video tutor”

• BENCH WARMER: [1]. Write the quadratic function in standard form. Y =2(x+2)(X – 4). [2]. Use inverse matrix to solve for “x” & “y”. (i)2x – 5y = -12; (ii) -x + 4y = 9

• OBJECTIVE: Model data with quadratic functions.

• ACTIVITIES: Discuss problems 1-3; Pg. 212 # 7 - 22

• HOME LEARNING: Complete activity on www.quia.com; ( Test on Tuesday. 11/15/11)

• BENCH WARMER: What is the domain and range of the Quadratic function;

• y = -(x – 3)^2+4• TEST: CHAPTER 3.6 – 4.2• OBJECTIVE: Solve systems of equations using

inverse matrices and graph quadratic function, finding vertices, axis of symmetry etc.

• ACTIVITIES: CHAPTER 3.6, 4.1 & 4.2 TEST• HOME LEARNING: PG. 213 # 23 - 30

• BENCH WARMER: Factor the expressions; • (i) 8x – 56; (ii) 4x^2 – 12x ; (iii) 9x^2 – 27:• FACTORING QUADRATIC EXPRESSIONS

• OBJECTIVE: Find common and binomial factors of quadratic functions. Factor special quadratic expressions.

• ACTIVITIES: Notes on factoring quadratic functions; Pg. 221 # 14 – 58 (even)

• HOME LEARNING: Pg. 221 # 39 – 57 (odd)

• BENCH WARMER: Simplify the Radical

• OBJECTIVE: Solve quadratic equations by factoring and graphing.(Using calculator)

• ACTIVITIES: Collect Pg. 221 # 14 – 58 (even) Class work; Pg. 229 # 10 - 34 (even)

• HOME LEARNING: WORKSGEET (McDougal Littell)5.2

ALGEBRA 2; AGENDA; DAY 61; FRI. NOV. 18, 2011

• BENCH WARMER: • OBJECTIVE: Solve quadratic equations by

factoring and graphing.• ACTIVITIES: Discuss Pg. 229 # 10– 34; • Complete worksheet. [Chapter 5.2]• HOME LEARNING: Complete online test.

www.quia.com [Quadratic functions]; Good Luck!!! TEST GRADE (4 POINTS)

• BENCH WARMER: • Tell the ‘domain’ and the ‘range’ of given function.

• OBJECTIVE: Writing equations from roots. Complete equations by completing the square.

• ACTIVITIES: Page 232 # 3 – 8; 12 – 17• Pg. 237 #12 - 27• HOME LEARNING: WWW.QUIA.COM

[Complete activity]

24( 5)y x

• BENCH WARMER: Write the equations in vertex form from the given intercepts form;

• y =-(x – 4)(x - 2)• OBJECTIVE: Complete equations by

completing the square. Rewrite functions by completing the square.

• ACTIVITIES: Pg. 237 # 18 – 45 (all)• HOME LEARNING: Pg. 238 # 46 – 61 (all)

• BENCH WARMER: Given the roots 6 and -3 write the quadratic equation.

• OBJECTIVE: Reinforce completing the square activities. Rewrite functions by completing the square.

• ACTIVITIES: Worksheet Lesson 4.6• HOME LEARNING: HAPPY THANKSGIVING

• BENCH WARMER: Simplify the Radical• THE QUADRATIC FORMULA• OBJECTIVE:• Solve Quadratic Equations using the Quadratic

Formula; Determine solutions.

• ACTIVITIES: Collect worksheet; Notes on quadratic formula & Discriminants. Pg. 245 # 12 – 38 (even)

bb acx

• BENCH WARMER: Solve the equation by completing the square.

• COMPLEX NUMBERS: a + bi; [a= real part, bi= imaginary part]

• OBJECTIVE: Identify, graph, and perform operations with complex numbers.

• ACTIVITIES: Notes from Problems 1 - 6; Pg. 253 # 8 – 32 (even)

28 20 0xx

• BENCH WARMER: Solve the quadratic equation by completing the square;

• OBJECTIVE: Identify, graph, and perform operations with complex numbers.

• ACTIVITIES:PG. 254 # 48 – 69• HOME LEARNING: WORKSHEET; EXTRA

PRACTICE: Chapter 4

26 7 0xx

ALGEBRA 2; AGENDA; DAY 68; THUR. DEC. 01, 2011

• BENCH WARMER: Solve the quadratic equation;

• TEST; QUADRATIC FUNCTIONS

• OBJECTIVE: Find solutions for the zeros, x-intercepts by factoring and graphing.

• ACTIVITIES: TEST; CHAPTER 4.4 – 4.8• HOME LEARNING: Complete Extra Practice

worksheet..

212 4 016 xx

ALGEBRA 2; AGENDA; DAY 69; FRI. DEC. 02, 2011

• BENCH WARMER: Tell the domain and range of the quadratic function;

• OBJECTIVE: Perform operations with complex numbers.

• ACTIVITIES: WORKSHEET Practice 4.8• HOME LEARNING: Complete extra Practice.

See agenda for worksheet.•

28 20xx

ALGEBRA 2; AGENDA; DAY 70; MON. DEC. 05, 2011

• BENCH WARMER: Solve the equation:

• QUADRATIC INEQUALITIES & SYSTEMS

• OBJECTIVE: Solve and graph systems of linear and quadratic equations. Solve and graph systems of quadratic inequalities.

• ACTIVITIES: Discuss worksheet 4.8; Prentice Hall book Pg. 262 # 8 – 24 (even)

1 3313x

ALGEBRA 2; AGENDA; DAY 71; TUE. DEC. 06, 2011

• BENCH WARMER: write each quotient as a complex number:

• OBJECTIVE: Solve and graph systems of linear and quadratic equations. Solve and graph systems of quadratic inequalities.

• ACTIVITIES: Discuss Pg. 262 # 8 – 28; Pg. 263 # 37 – 51 (all)

• HOME LEARNING: QUIA.COM Activity.

ALGEBRA 2; AGENDA; DAY 72; WED. DEC. 07, 2011

• BENCH WARMER: ; Y = X - 5

• OBJECTIVE: Review quadratic functions; • ACTIVITIES: Discuss EXTRA PRACTICE

worksheet. • **[Complete Review worksheet]• HOME LEARNING: Review worksheet

25XY X

ALGEBRA 2; AGENDA; DAY 73; THUR. DEC. 08, 2011

• EARLY RELEASE DAY: [7:20 – 8:04 AM]• BENCH WARMER: Find the absolute conjugate

and value of the complex number: 3 + 5i.• OBJECTIVE: Graph, factor, complete the

square, apply quadratic formula and apply complex numbers of quadratic functions.

• ACTIVITIES: Chapter 4 test.• Home Learning: Quia.com activity

ALGEBRA 2; AGENDA; DAY 74; FRI. DEC. 09, 2011

• BENCH WARMER: Simplify the expression; • (2 + 3i)(4 – 2i)• OBJECTIVE: Solve quadratic functions;

Complete EXTRA PRACTICE worksheet. • ACTIVITIES: Complete and correct EXTRA

PRACTICE worksheet.• HOME LEARNING: Complete quia.com

activity.

ALGEBRA 2; AGENDA; DAY 75; MON. DEC. 12, 2011

• BENCH WARMER: Find the absolute value of the complex number: 1 – 6i

• OBJECTIVE: Classify polynomials by degrees; Describe end behavior of polynomial function.

• ACTIVITIES: Notes on types of polynomials. Video presentation, Pg. 281: discuss problems 1 – 4; Worksheet 5.1; ELL Support.

• HOME LEARNING: W/S; 5.1 “Think About a Plan”

STANDARD FORM OF A POLYNOMIAL FUNCTION & END BEHAVIOR;

• The standard form of a polynomial function arranges the terms by degree in descending numerical order. The degree of a polynomial function affects the shape of its graph and determines the maximum number of turning points, or places where the graph changes direction. It also affects the end behavior, or the directions of the graph to the far left and to the far right. [See page 282 example]

ALGEBRA 2; AGENDA; DAY 76; TUE. DEC. 13, 2011

• BENCH WARMER: Find the conjugate of the complex number: 2 – 8i, then multiply the complex number and its conjugate.

• OBJECTIVE: Classify polynomials; Graph polynomial functions and describe end behavior.

• ACTIVITIES: Worksheet 5.1• HOME LEARNING: Worksheet 5.1

ALGEBRA 2; AGENDA; DAY 77 ; WED. DEC. 14, 2011

• BENCH WARMER: Simplify the complex number.

• OBJECTIVE: Classify polynomials; Using the difference to determine the degree. Graph polynomial functions and describe end behavior.

• ACTIVITIES: Worksheet Practice 5.1• HOME LEARNING: Pg. 286 # 40 – 46

ALGEBRA 2; AGENDA; DAY 78 ; THUR. DEC. 15, 2011

• BENCH WARMER: Solve by factoring;

• OBJECTIVE: Analyze the factored form of a polynomial, write a polynomial function from its zeros.

• ACTIVITIES: Page 293 # 8 – 38 [even]• HOME LEARNING: Pg. 293 # 13 – 37 [odd]

336 0xx

ALGEBRA 2; AGENDA; DAY 79 ; FRI. DEC. 16, 2011

• BENCH WARMER: Solve by factoring;

• OBJECTIVE: Solve the polynomial equations by factoring and graphing.

• ACTIVITIES: Notes on KEY concepts [Pg. 297] Pg. 301 # 10 – 36 [even]

• HOME LEARNING: Happy holidays.

ALGEBRA 2; AGENDA; DAY 80 ; TUE. JAN. 03, 2012

• BENCH WARMER: Factor the following; • [1] ; [2] • OBJECTIVE: Divide polynomials using long

division and synthetic division.• ACTIVITIES: Demonstrate problems 1 – 5; Pg.

308 # 8 – 30 [even]• HOME LEARNING: Pg. 308; 9 – 39 [odd]

364x 3

ALGEBRA 2; AGENDA; DAY 81 ; WED. JAN. 04, 2012

• BENCH WARMER: Use synthetic division; • [1] /(x+3)

• OBJECTIVE: Divide polynomials using long division and synthetic division.

• ACTIVITIES: Worksheet Practice 5.4• HOME LEARNING: Worksheet 5.4

2 6 5 45x x x

ALGEBRA 2; AGENDA; DAY 82 ; THUR. JAN. 05, 2012

• BENCH WARMER: Divide using synthetic division

• OBJECTIVE: To divide polynomials using computer based activities.

• .ACTIVITIES: Quia.com activity; Meet in the media center;

• HOME LEARNING: None

3( 27) /( 3)xx

ALGEBRA 2; AGENDA; DAY 83 ; FRI. JAN. 06, 2012

• BENCH WARMER: Factor.• • OBJECTIVE: Review Polynomial functions, tell

end behavior, graph, divide using long division or synthetic division.

• ACTIVITIES: Pg.311, # 1 – 16;• HOME LEARNING: Copy notes from Pg. 312• Problems 1 & 2.

Rational Root Theorem1

1 1( ) ........ 0

n nLetP x xa x a x a a

be a polynomial with interger coefficients. There are a limited number of possible roots of (Px) = 0;

* Integer roots must be factors of .

p*Rational roots must have reduced form where p is an integ

er factor of and q is an integer factor of .

p 1029 10 0; p =10 and q = 21; so = ;

Factors of 10 = 1, 2, 5, 10.

21 = 1, 3, 7, 21.

1 1 1Possible zeros are; 1, , , ,

3 7 21

Factors of

2 2 2 5 5 5 10 10 10

, , , 2, , , , , , , 5, 103 7 21 3 7 21 3 7 21

ALGEBRA 2; AGENDA; DAY 84 ; MON. JAN. 09, 2012

• BENCH WARMER: Find all the solutions of the equation;

• OBJECTIVE: To solve equations using the Rational Root Theorem contd.

• .ACTIVITIES: Discuss Problems 1 - Pg.316, #9 – 17;

• HOME LEARNING: Complete class work.

3 Solve for x; 343 0125x

ALGEBRA 2; AGENDA; DAY 85 ; TUE. JAN. 10, 2012

• BLOCK SCHEDULE: Periods 1, 3, & 5• BENCH WARMER: Use the Remainder

Theorem and synthetic division to find

• OBJECTIVE: To solve equations using the Rational Root Theorem contd.

• ACTIVITIES: Discuss Problems 1– 5 Pg.316, #18–41;• HOME LEARNING: Practice 5.5

24(2) for P(x) = 3 4 12xP x x

ALGEBRA 2; AGENDA; DAY 86 ; WED. JAN. 11, 2012

• BLOCK SCHEDULE: Periods 2, 4, & 6• FCAT READING TESTING

•NO ALGEBRA 2 CLASS

ALGEBRA 2; AGENDA; DAY 87 ; THUR. JAN. 12, 2012

• BLOCK SCHEDULE: Periods 1, 3, & 5• BENCH WARMER: Write a polynomial function

with rational coefficients so that P(x) =0 has the given root; 2i.

• OBJECTIVE: To use the Fundamental Theorem of Algebra to solve polynomial equations with complex solutions.

• ACTIVITIES: Discuss Problems 1 – 2, Pg.322, #8 – 25;

• HOME LEARNING: Pg. 323 # 30 - 37

ALGEBRA 2; AGENDA; DAY 88 ; FRI. JAN. 13, 2012

• BLOCK SCHEDULE: Periods 2, 4, & 6• ALGEBRA 1 & GEOMETRY TESTING.

•NO ALGEBRA 2 CLASS

ALGEBRA 2; AGENDA; DAY 48; MON. Oct. 31, 2011 BENCH WARMER:Find the determinant of the 3 x 3 matrix...

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