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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.

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Presentation on theme: "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."— Presentation transcript:

1 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.

2 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

3 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

4 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.

5 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

6 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).

7 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.

8 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.

9 ALGEBRA 2; AGENDA; DAY 54; TUE. NOV. 08, 2011 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

10 ALGEBRA 2; AGENDA; DAY 55; WED. NOV. 09, 2011 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.

11 ALGEBRA 2; AGENDA; DAY 56; THUR. NOV. 10, 2011 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 ”

12 ALGEBRA 2; AGENDA; DAY 57; MON. NOV. 14, 2011 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) www.quia.com

13 ALGEBRA 2; AGENDA; DAY 58; TUE. NOV. 15, 2011 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

14 ALGEBRA 2; AGENDA; DAY 59; WED. NOV. 16, 2011 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)

15 ALGEBRA 2; AGENDA; DAY 60; THUR. NOV. 17, 2011 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

16 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) www.quia.com

17 ALGEBRA 2; AGENDA; DAY 62; MON. NOV. 21, 2011 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]WWW.QUIA.COM

18 ALGEBRA 2; AGENDA; DAY 63; TUE. NOV. 22, 2011 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)

19 ALGEBRA 2; AGENDA; DAY 64; WED. NOV. 23, 2011 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

20 ALGEBRA 2; AGENDA; DAY 65; MON. NOV. 28, 2011 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) HOME LEARNING: Pg. 246 # 41 – 55 (odd)

21 ALGEBRA 2; AGENDA; DAY 66; TUE. NOV. 29, 2011 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) HOME LEARNING: Pg. 253 # 27 – 43 (odd)

22 ALGEBRA 2; AGENDA; DAY 67; WED. NOV. 30, 2011 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

23 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..

24 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.

25 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) HOME LEARNING: Pg. 262 # 15 – 25 (odd)

26 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.

27 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

28 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

29 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.

30 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”

31 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]

32 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

33 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

34 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]

35 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.

36 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]

37 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

38 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

39 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.

40 Rational Root Theorem

41 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.

42 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

43 ALGEBRA 2; AGENDA; DAY 86 ; WED. JAN. 11, 2012 BLOCK SCHEDULE: Periods 2, 4, & 6 FCAT READING TESTING NO ALGEBRA 2 CLASS

44 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

45 ALGEBRA 2; AGENDA; DAY 88 ; FRI. JAN. 13, 2012 BLOCK SCHEDULE: Periods 2, 4, & 6 ALGEBRA 1 & GEOMETRY TESTING. NO ALGEBRA 2 CLASS

46 ALGEBRA 2; AGENDA; DAY 89 ; TUE. JAN. 17, 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; 2 + 2i. OBJECTIVE: To use the Fundamental Theorem of Algebra to solve polynomial equations with complex solutions. ACTIVITIES: Pg.322, #8 – 37; HOME LEARNING: W/S. Practice 5.6

47 ALGEBRA 2; AGENDA; DAY 91 ; THUR. JAN. 19, 2012 BENCH WARMER: Write a polynomial function with rational coefficients so that P(x) =0 has the given root; 5; and 1 - 2i; OBJECTIVE: To use the Fundamental Theorem of Algebra to solve polynomial equations with complex solutions. ACTIVITIES: Discuss Practice 5.6; [Test ] HOME LEARNING: Practice worksheet 5.6 (contd)

48 ALGEBRA 2; AGENDA; DAY 92 ; FRI. JAN. 20, 2012 BENCH WARMER: Find all the zeros of the given function; OBJECTIVE: To expand a binomial using Pascal’s Triangle. To use the Binomial Theorem to expand an expression. ACTIVITIES: Discuss examples on Pg. 326-328; Pg. 328 # 1 - 7 HOME LEARNING: Pg. 329 # 8 - 23


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