ALGEBRA 2; AGENDA; DAY 134 ; MON. APRIL 2, 2012 BELL RINGER : Find all the zeros. PROPERTIES OF...

ALGEBRA 2; AGENDA; DAY 134 ;MON. APRIL 2, 2012

• BELL RINGER : Find all the zeros.

• PROPERTIES OF LOGARITHMS• OBJECTIVE: To use the properties of

logarithms to simplify expressions. • ACTIVITIES: Notes on properties of

logarithms. Pg. 466 #10 – 44. (even)• HOME LEARNING). Page 466 # 9 – 41 (odd)

3 2

1y x x x

ALGEBRA 2; AGENDA; DAY 135 ;TUE. APRIL 3, 2012

• BELL RINGER : Find all the zeros.

• OBJECTIVE: To use the properties of logarithms to simplify expressions.

• EXPONENTIAL AND LOGARITHMIC EQUATIONS

• ACTIVITIES: Discuss; Pg. 466 #9 – 44. (all); Pg. 473 # 7 – 22 & 32 - 39 (all)

• HOME LEARNING). Worksheet 7.4

4( ) 16f x x

ALGEBRA 2; AGENDA; DAY 136 ;WED. APRIL 4, 2012

• BELL RINGER :• OBJECTIVE: To use the properties of logarithms to

simplify expressions. • EXPONENTIAL AND LOGARITHMIC EQUATIONS

• ACTIVITIES: Discuss Pg. 467 # 57 – 72; & Problems 1 – 4; Classwork Pg. 473 # 8 – 44 (even)

• HOME LEARNING). Pg. 473 # 7 – 39 (odd)

3 2 logarithm log2xExpand y

ALGEBRA 2; AGENDA; DAY 137 ;THUR. APRIL 5, 2012

• BELL RINGER:• OBJECTIVE: To use the properties of logarithms to

simplify expressions. • EXPONENTIAL AND LOGARITHMIC EQUATIONS

• ACTIVITIES: Discuss Pg. 473 # 8 – 44• Pg. 475 # 64 - 81

• HOME LEARNING). Practice 7.5

3 logarithm 9logExpand x


• BELL RINGER: Solve the equation

• NATURAL LOGARITHMS• OBJECTIVE: To evaluate & simplify natural logarithmic

expressions. To solve equations using natural logarithms

• ACTIVITIES: Notes on examples on Logarithms. Pg. 481 # 11 – 37 (ALL)

• HOME LEARNING). Pg. 481 # 42 – 51 & 66 - 71

(2 1) 18 3

logx

Natural Logarithm

• The natural logarithm is the logarithm to the base e, where e is an irrational and transcendental constant approximately equal to 2.718281828. The natural logarithm is generally written as ln(x), loge(x) or sometimes, if the base of e is implicit, as simply log(x).[1]

Natural Logarithm

• The first mention of the natural logarithm was by Nicholas Mercator in his work Logarithmotechnia published in 1668, although the mathematics teacher John Speidell had already in 1619 compiled a table on the natural logarithm. It was formerly also called hyperbolic logarithm, as it corresponds to the area under a hyperbola. It is also sometimes referred to as the Napierian logarithm, although the original meaning of this term is slightly different.



• NATURAL LOGARITHMS• OBJECTIVE: To evaluate & simplify natural logarithmic

expressions. To solve equations using natural logarithms

• ACTIVITIES: Discuss Pg. 481 # 11 – 37, 42 – 51 & 66 - 71 [PRACTICE 7.6]

• HOME LEARNING). WORKSHEET

4 2log 6log x



• CHAPTER 7 REVIEW• OBJECTIVE: Use logarithmic functions to solve

interest, real world problems. Evaluate logarithms and exponential functions.

• ACTIVITIES: Discuss Practice 7.6; Classwork; • Pg. 491 # 1 – 37, • HOME LEARNING). Review for test on Thursday.

243

x


• BELL RINGER: Find all the zeros;

• CHAPTER 7 WORKSHEET [COLLECT]• OBJECTIVE: Use logarithmic functions to solve

interest, real world problems. Evaluate logarithms and exponential functions.

• ACTIVITIES: Classwork; Worksheet on Finding the Errors. Chapter 7.

• HOME LEARNING).

24

5 6XX

ALGEBRA 2; AGENDA; DAY 142 ;FRI. APRIL 13, 2012

• BELL RINGER: Find the inverse of each function. Is the inverse a function?

• INVERSE VARIATION• OBJECTIVE: To recognize and use inverse

variation. To use joint and other variations.• ACTIVITIES: Notes on Inverse variation. Pg.

503 # 6 - 18 , • HOME LEARNING). Pg. 504 # 26 – 40.

2

5y x


• BELL RINGER: Solve the equation;

• THE RECIPROCAL FUNCTION FAMILY• OBJECTIVE: To graph reciprocal functions. To

graph translations of reciprocal functions.• ACTIVITIES: Notes on Reciprocal Functions.

Pg. 512 # 8- 28 (even) , • HOME LEARNING). Pg. 512 # 9 – 27 (odd).

2

5 20x



• THE RATIONAL FUNCTIONS AND THEIR GRAPHS

• OBJECTIVE: To identify properties of rational functions. To graph rational functions.

• ACTIVITIES: Discuss Pg. 512 #8 – 28. Notes on Rational functions. Pg. 521 # 2- 22 (even) ,

• HOME LEARNING). Pg. 521 # 1 – 21 (odd).

4

82x



• THE RATIONAL FUNCTIONS AND THEIR GRAPHS


• ACTIVITIES: Discuss Pg. 521 # 1- 22 (all) , Practice 8.3

• HOME LEARNING). Re-teaching 8.3

2

8 3x



• THE RATIONAL FUNCTIONS AND THEIR GRAPHS• OBJECTIVE: To identify properties of rational

functions. To graph rational functions.• ACTIVITIES: Notes on Properties of rational

functions; Discuss Practice 8.3; Class work; Mid Chapter test Pg. 526 # 1- 22 (all) ,

• HOME LEARNING).Standardized Test Prep

log 4 2x

Graphs of Rational Functions

• Let p(x) and q(x) be polynomials with no common factors other than

• 1. The graph of the rational function:• has the following characteristics• 1. The x-intercepts of the graph of f(x) are the real zeros of

p(x)• 2. The graph of f(x) has a vertical asymptote at each real zero

of q(x).• 3. The graph of f(x) has at most one horizontal asymptote.

bbxbxaaxax

xb

xa

xq

xpxf n

n

n

n

m

m

m

m

01

1

01

1

.........1

........1

)(

)()(

Graphs of Rational Functions

• 4. If m < n, the line y= 0 is a horizontal asymptote.

• If m = n, the line is a horizontal asymptote.

• If m > n, the graph has no horizontal asymptote

ban

my


• BELL RINGER: Solve the equation. • THE RATIONAL FUNCTIONS AND THEIR GRAPHS


• ACTIVITIES: Worksheet on rational functions,

• HOME LEARNING). Mid Chapter test Pg. 526 # 1- 22 (all) ,

log(2 5) 3x


• BELL RINGER: Multiply and simplify. • RATIONAL EXPRESSIONS• OBJECTIVE: To simplify rational expressions..

To multiply and divide rational expressions.• ACTIVITIES: Collect worksheet; Notes on

rational expressions. Pg. 531 # 8- 25 (all) Standardized test prep.

• HOME LEARNING).Re-Teaching 8.5

)63)(65( 3xx


• BELL RINGER: Identify the point of discontinuity, x & y-intercepts, and the domain

• RATIONAL EXPRESSIONS• OBJECTIVE: To simplify rational expressions.• ACTIVITIES: Discuss Pg. 531 # 8- 25 (all); Pg.

532 # 32 – 37; & 42 – 44. • HOME LEARNING). Standardized, Pg. 533 # 50

- 67

3

352 2

x

xx


• BELL RINGER: What are the x-coordinate of the hole in the graph of

• ADDING AND SUBTRACTING RATIONAL EXPRESSIONS

• OBJECTIVE: To add and subtract rational expressions.

• ACTIVITIES: [Discuss Standardized, Pg. 533 # 50 – 67; Notes on adding and subtracting Rational Expressions. Pg. 539 # 7 - 29

• HOME LEARNING). Re-Teaching 8.5

152

92

2

xx

xy


• BELL RINGER: Simplify and state any restrictions on the variable.



• ACTIVITIES: [Discuss 539 # 7 – 29. [TEST]• HOME LEARNING). Practice 8.5

23

12

1 2

xx

x

x

x


• BELL RINGER: Simplify. State any restriction on the variable.



• ACTIVITIES:Discuss Practice 8.5, PG. 540 # 31 – 36 & 41 – 44

• HOME LEARNING).

2

1*

1

232

x

x

x

xx


• BELL RINGER: Divide and state any restriction on the variable.

• SOLVING RATIONAL EQUATIONS

• OBJECTIVE: To solve rational equations; To use rational equations to solve problems.

• ACTIVITIES: Notes on Rational equations. PG. 546 # 8 – 34 (even)

• HOME LEARNING). Pg. 546 #9 – 35 (odd)

2(5 9) ( 9)

( 2) (4 8)

x x

x x

ALGEBRA 2; AGENDA; DAY 154 ;TUE. MAY 01, 2012

• BELL RINGER: Divide and state any restriction on the variable.

• SOLVING RATIONAL EQUATIONS

• OBJECTIVE: To solve rational equations; To use rational equations to solve problems.

• ACTIVITIES: {Collect}; PG. 546 # 8 – 34 (all); Pg. 546 # 31 – 35 (odd), & 43 – 52 (all)

• HOME LEARNING). Practice 8.6 [TEST on Friday, 5/04/12]

2

2

(5 15) ( 6 9)

(10 10) (3 3)

X X X

X X

ALGEBRA 2; AGENDA; DAY 155 ;WED. MAY 02, 2012

• BELL RINGER: Write the logarithmic expression as a single logarithm.

• SOLVING RATIONAL EQUATIONS• OBJECTIVE: Connect ideas from previous lessons. Vocabulary

activities. • ACTIVITIES: Discuss. Pg. 546 # 31 – 35 & 43 – 52 (all) &

Practice 8.6; Pg. 553 # 1 - 18• HOME LEARNING). Pg.555 # 19 – 21 & 23 - 33

• [TEST on Friday, 5/04/12; CHAPTER 8.1-8.6]

3 3log logy t

ALGEBRA 2; AGENDA; DAY 156 ;THUR. MAY 03, 2012

• BELL RINGER: Write the logarithmic expression as a single logarithm.

• REVIEW CHAPTER 8 RATIONAL FUNCTIONS

• OBJECTIVE: Review rational functions. • ACTIVITIES: Discuss. Pg. 555 # 19 – 21 # 23-33; • [REVIEW WORKSHEET, CHAPTER 8.1 – 8.6]• HOME LEARNING). Sunshine State Standard

practice Pg.558 # 1 – 30

7log 2logp q

ALGEBRA 2; AGENDA; DAY 157 ;FRI. MAY 04, 2012

• BELL RINGER

• CHAPTER 8 TEST ON RATIIONAL FUNCTIONS

• OBJECTIVE: Apply properties of rational functions formula.

• ACTIVITIES: Chapter 8 Test • HOME LEARNING).

2Let f(x) = ; g(x) = 3x; Evaluate the expression (g f)(-3)x 1

ALGEBRA 2; AGENDA; DAY 158 ;MON. MAY 07, 2012

• BELL RINGER: Solve the equation. Check the solution.

• CHAPTER 8 TEST ON RATIIONAL FUNCTIONS


• ACTIVITIES: Chapter 8 Test • HOME LEARNING).

2

1 3

y

y


• BELL RINGER: Solve the equation. Check the solution.

• CHAPTER 8 RATIIONAL FUNCTIONS (REVIEW MORE CONCEPTS)


• ACTIVITIES: PG. 557 #1 - 31• HOME LEARNING). STANDARDIZED TEST PREP

WORKSHEET.

4 5

2 6a a


• BELL RINGER Solve the equation. Check the solution.

• CHAPTER 8 STANDARDIZED TEST PRACTICE


• ACTIVITIES: PG. 557 #1 – 31 (DISCUSS); CLASS WORK PG. 558 #1 – 30.

• HOME LEARNING).

3 6

2 1b b


• BELL RINGER What is the solution of • MATHEMATICAL PATTERNS

• OBJECTIVE: To identify mathematical patterns found in a sequence. To use a formula to find the nth term of a sequence.

• ACTIVITIES: (DISCUSS) PG. 558 #1 – 30. Problems 1 – 3; Pg. 569 # 7 - 23

• HOME LEARNING). Pg. 569 # 24 – 41.

4 23 3 2x


• BELL RINGER: Identify the pattern and find the next 3 terms: 10, 8, 6, 4, 2, 0, ……….

• MATHEMATICAL PATTERNS


• ACTIVITIES: (DISCUSS) Pg. 569 # 7 – 23 & 24 – 41; Pg. 569 #23 – 52 & 55 – 63.

• HOME LEARNING). Practice 9.1


• BELL RINGER: Solve the equation • • MATHEMATICAL PATTERNS• OBJECTIVE: To identify mathematical patterns found

in a sequence. To use a formula to find the nth term of a sequence.

• ACTIVITIES: (DISCUSS) WORKSHEETS; Pg. 569 # 7 - 23

• HOME LEARNING). Pg. 569 # 7 – 41. (ODD)

1

3

1

4

1

32

xx

x

x


• BELL RINGER Simplify the expression; State any restriction.

• MATHEMATICAL PATTERNS


• ACTIVITIES: DISCUSS PG. 569 # 7 – 41(ODD)• Pg. 569 #43 – 52 & 55 - 63• HOME LEARNING).

13

54

x

y


• BELL RINGER: Simplify the expression; State any restriction.

• ARITHMETIC SEQUENCE

• OBJECTIVE:. To define , identify, and apply arithmetic sequence.

• ACTIVITIES: Note taking; Pg. 575 # 7-12, 14, 16, 20, 24, 26 - 28

• HOME LEARNING). Practice 9.2 (K)

42

31

x

x


• BELL RINGER Write a recursive definition for the sequence. 1, 3, 9, 27………..

• ARITHMETIC SEQUENCES

• OBJECTIVE:. To define, and apply arithmetic sequences.

• ACTIVITIES: Discuss Examples 1 – 3, Pg. 575 # 5 – 24.

• HOME LEARNING). Pg.575 # 26 - 33


• BELL RINGER: Write a recursive definition for the sequence. 120, 60, 30, 15……….

• GEOMETRIC SEQUENCES

• OBJECTIVE:. To define, and apply Geometric sequences.

• ACTIVITIES: Discuss Worksheet 9.2;• Re-Teaching 9.3 worksheet.• HOME LEARNING).


• BELL RINGER: Find the missing terms of each arithmetic sequence: (1) 10, __, __, __, -20,…..

• (2) 5, ___, ___, ___, 35, …..• OBJECTIVE:. To reinforce and apply geometric and

arithmetic sequences to given problems. • ACTIVITIES: Worksheet on geometric sequences.

• HOME LEARNING). Pg. 586 # 63 – 81 (Make sure you have all the bell ringers for the 4th -9 weeks) [Notebook Evaluation]


• BELL RINGER: Find the missing terms of each geometric sequence: (1) 12, __, 3

• (2) 3, __ 0.75• OBJECTIVE:. Evaluate notebook, To define

arithmetic series and find their terms. • ACTIVITIES: Collect notes from students’ notebook.

Pg. 591 #7 – 20.

• HOME LEARNING).Complete Pg. 591 # 7 - 20

NOTEBOOK EVALUATION 5/22/12

• BELL RINGER ITEMS FROM APRIL 02, - MAY 22, 2012

• AGENDA FOR APRIL 09, 2012 WITH NOTES ON NATURAL LOGARITHM.

• AGENDA FOR APRIL 19, 2012 WITH NOTES ON RATIONAL FUNCTIONS.


• BELL RINGER: Write an explicit formula the geometric sequence, then generate the first 5 terms: a = 1, r = 0.5

• OBJECTIVE:. To define arithmetic series and find their terms using the Sigma symbol.

• ACTIVITIES: Discuss Pg. 591 #7 – 20. Pg. 591 # 21 – 52.

• HOME LEARNING).

• W/S; Practice 9.4 Test on Thursday (5/24/12; 9.1-9.4)

10

1

2 3n

n


• BELL RINGER: Simplify the expression

• TEST; CHAPTER 9.1 – 9.4

• OBJECTIVE:. Apply recursive, explicit, arithmetic sequences, series and geometric sequences formulas to solve given problems.

• ACTIVITIES:. TEST CHAPTER 9.1 – 9.4• HOME LEARNING). Pg. 593 # 50 – 70.

3 6

7 2x


• BELL RINGER: Write a recursive formula for each sequence: (1) 1, 3, 6, 10,.. (2) 1, 4, 9, 16,…

• GEOMETRIC SERIES formula,• OBJECTIVE:. To define geometric series and

find their sums.• ACTIVITIES:. Video presentation on

Geometric series. Worksheet.• HOME LEARNING).

(1 )

1

n

n

a r

rs


• BELL RINGER: Find the sum of the 10th term of the geometric series. (1) 2, 4, 8, 16,….. GEOMETRIC SERIES formula,

• OBJECTIVE:. To define geometric series and find their sums.

• ACTIVITIES:. Pg 599 # 8 - 37

• HOME LEARNING). Period 1 see worksheet 9.5, [Killian website]


• BELL RINGER: Expand the binomial • GEOMETRIC SERIES formula,• OBJECTIVE:. Find the sum of the geometric

series.• ACTIVITIES:. Collect work, Pg 599 #8 - 37;

(Period 1); Class-work; Extra Practice Ch.9• HOME LEARNING). Worksheet

7

( )a b


• BELL RINGER: Factor• Sequences & Series formulas,• OBJECTIVE:. Apply Arithmetic & geometric

Sequences & Series Formulas to solve problems.

• ACTIVITIES:. Extra Practice W/S. • HOME LEARNING). Extra Practice (Contd.)

3 3

a b

ALGEBRA 2; AGENDA; DAY 176 ;FRI. JUNE 01, 2012

• BELL RINGER: Evaluate: • Sequences & Series formulas,• OBJECTIVE:. Apply Arithmetic & geometric


• ACTIVITIES:. Collect Extra Practice W/S. • HOME LEARNING

2 2

18

8log log

ALGEBRA 2; AGENDA; DAY 177 ;MON. JUNE 04, 2012

• BELL RINGER: Evaluate the sum of the finite geometric series. 3 + 6 + 12 . . . ; n = 7

• Sequences & Series formulas,• OBJECTIVE:. Apply Arithmetic & geometric


• ACTIVITIES:. Collect Extra Practice W/S. • HOME LEARNING

ALGEBRA 2; AGENDA; DAY 178 ;TUE. JUNE 05, 2012

• BELL RINGER: Suppose a dropped ball bounces back to 3/4 of its original height. A ball falls from a height of 8 feet and keeps bouncing until someone picks it up. Estimate

• the total vertical distance the ball travels if no one picks it up

• OBJECTIVE: Interactive online Math games.• ACTIVITIES:. WWW.QUIA.COM

• HOME LEARNING

ALGEBRA 2; AGENDA; DAY 179 ;WED. JUNE 06, 2012

• BELL RINGER: Find the common difference for the arithmetic sequence that has 5 as its

• twelfth term and 65 as its sixth term. Find the sum of the first 8th terms.

• INTERACTIVE GAMES• OBJECTIVE: Interactive online Math games.• ACTIVITIES:. WWW.QUIA.COM• HOME LEARNING

ALGEBRA 2; AGENDA; DAY 180;THUR. JUNE 07, 2012

• INTERACTIVE GAMES• OBJECTIVE: Interactive online Math games.• ACTIVITIES:. WWW.QUIA.COM

• HOME LEARNING

ALGEBRA 2; AGENDA; DAY 134 ; MON. APRIL 2, 2012 BELL RINGER : Find all the zeros. PROPERTIES OF...

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