agenda: pre-calculus honors. mon. day 47; nov. 02, 2015; (2 nd 9- weeks) zeros of polynomial...

AGENDA: PRE-CALCULUS HONORS.MON. DAY 47; NOV. 02, 2015; (2nd 9-WEEKS)• ZEROS OF POLYNOMIAL FUNCTIONS;

• LEARNING OBJECTIVES: SWBAT: Use Descartes’ Rule of Signs.• ACTIVITIES: Discuss Pg. 339 # 8, 11, 14, 20; 22; 23; 27; 29; 33.• W/S: THE RATIONAL ROOT THEOREM• HOME LEARNING:.

AGENDA: PRE-CALCULUS HONORS.TUE. DAY 48; NOV. 03, 2015; (2nd 9-WEEKS)• RATIONAL FUNCTIONS AND THEIR GRAPHS: • LEARNING OBJECTIVES; SWBAT:- Find the domains of rational

functions. Identify vertical and horizontal asymptotes • ACTIVITIES: Notes on Rational functions. • C/W: Pg. 354 # 1 – 20 (ALL)• HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS.WED. DAY 49; NOV. 04, 2015; (2nd 9-WEEKS)• RATIONAL FUNCTIONS AND THEIR GRAPHS: • LEARNING OBJECTIVES; SWBAT:- Find the domains of rational

functions. Identify vertical and horizontal asymptotes • ACTIVITIES: Discuss Pg. 354 # 1 – 20 (all)• Notes on Rational functions. • C/W: Pg. 355 # 22 – 48 (even)• HOME LEARNING: Complete work if not completed in class.

AGENDA: PRE-CALCULUS HONORS.THUR. DAY 50; NOV. 05, 2015; (2nd 9-WEEKS)• RATIONAL FUNCTIONS AND THEIR GRAPHS:

• LEARNING OBJECTIVES; SWBAT:- Find the domains of rational functions. Identify vertical and horizontal asymptotes

• ACTIVITIES: Discuss Pg. 355 # 20 – 48 (EVEN)• Notes on Rational functions. • C/W: Pg. 355 # 50 – 70(EVEN). Use graph paper for each item.• HOME LEARNING: Complete work if not completed in class.

AGENDA: PRE-CALCULUS HONORS.FRI. DAY 51; NOV. 06, 2015; (2nd 9-WEEKS)• RATIONAL FUNCTIONS AND THEIR GRAPHS: • LEARNING OBJECTIVES; SWBAT:- Find the domains of rational

functions. Identify vertical and horizontal asymptotes • ACTIVITIES: Collect Pg. 355 # 50 – 70 (all)• C/W: Pg. 355 # 71 – 78(ALL). Use graph paper for each item.• HOME LEARNING:W/S RATIONAL FUNCTIONS.

AGENDA: PRE-CALCULUS HONORS.MON. DAY 52; NOV. 09, 2015; (2nd 9-WEEKS)• RATIONAL FUNCTIONS AND THEIR GRAPHS: • LEARNING OBJECTIVES; SWBAT:- Find the domains of rational

functions. Identify vertical and horizontal asymptotes • ACTIVITIES: Collect Pg. 355 # 50 – 70 (all); Discuss Pg. 355 # 71 - 78• Rational Functions Worksheet• HOME LEARNING:W/S RATIONAL FUNCTIONS.• Test on Tuesday (11/10/15); RATIONAL FUNCTIONS

AGENDA: PRE-CALCULUS HONORS.TUE. DAY 53; NOV.10, 2015; (2nd 9-WEEKS)• RATIONAL FUNCTIONS AND THEIR GRAPHS TEST: • LEARNING OBJECTIVES; SWBAT:- Find the domains of rational

functions. Identify vertical and horizontal asymptotes • ACTIVITIES: Discuss Rational Functions Worksheet.• W/S on Graphing Rational Functions.• HOME LEARNING: TEST IS ON THURSDAY 11/12/15

AGENDA: PRE-CALCULUS HONORS.THUR. DAY 54; NOV.12, 2015; (2nd 9-WEEKS)

• MODELING USING VARIATION: PG. 369 - 3377 • LEARNING OBJECTIVES; SWBAT:- Solve direct, inverse, joint and

combination variation problems. • ACTIVITIES: PG. 376 # 2 – 20 (even); • HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS.FRI. DAY 55; NOV.13, 2015; (2nd 9-WEEKS)


combination variation problems. • ACTIVITIES: PG. 377 # 22 – 25 (all); 28, 29, 30; • HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. (ODD DAY)MON. DAY 56; NOV.16, 2015; (2nd 9-WEEKS)• MODELING USING VARIATION: PG. 369 - 337 • LEARNING OBJECTIVES; SWBAT:- Solve direct, inverse, joint and

combination variation problems. • ACTIVITIES: PG. 376 # 2 – 20 (even); & 21 – 28 (ALL); COLLECT TODAY• GOOD LUCK ON YOUR?????• HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. (ODD DAY)DAY 57; TUE. NOV.17, 2015; (2nd 9-WEEKS)

• CHAPTER REVIEW: POLYNOMIAL AND RATIONAL FUNCTIONS • LEARNING OBJECTIVES; SWBAT:- Solve complex numbers, quadratic

functions, rational functions and direct, inverse, joint and combination variation problems.

• ACTIVITIES: PG. 381 # 2, 6, 7, 8, 12,16, 18, 19, 20, 24-27(all), 29, 36, 42, 45, 47, 49, 50, 61, 70, 72, 78.

• HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. (EVEN DAY)DAY 58; WED. NOV.18, 2015; (2nd 9-WEEKS)


combination variation problems. • ACTIVITIES: PG. 376 # 2 – 20 (even); & 21 – 28 (ALL); COLLECT TODAY• HOME LEARNING: Review for test on Friday 11/20/15. Go to review

section of your textbook.

AGENDA: PRE-CALCULUS HONORS. (EVEN DAY)DAY 59; THUR. NOV.19, 2015; (2nd 9-WEEKS)

• CHAPTER REVIEW: POLYNOMIAL AND RATIONAL FUNCTIONS • LEARNING OBJECTIVES; SWBAT:- Solve complex numbers, quadratic


• ACTIVITIES: PG. 381 # 2, 6, 7, 8, 12,16, 18, 19, 20, 24-27(all), 29, 36, 42, 45, 47, 49, 50, 61, 70, 72, 78.

• HOME LEARNING: Review for test on Friday 11/20/15. Go to review section of your textbook.

AGENDA: PRE-CALCULUS HONORS. DAY 60; FRI. NOV.20, 2015; (2nd 9-WEEKS)

• CHAPTER TEST: POLYNOMIAL AND RATIONAL FUNCTIONS • LEARNING OBJECTIVES; SWBAT:- Solve complex numbers, quadratic


• ACTIVITIES: Chapter 2 test

• HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 61; MON. NOV.23, 2015; (2nd 9-WEEKS)• EXPONENTIAL FUNCTIONS: PG. 388 - 399• LEARNING OBJECTIVES; SWBAT:- to know the characteristics of the

exponential functions of the form f(x) = ; to evaluate exponential functions,and graph exponential functions.

• ACTIVITIES: Notes on exponential functions. • C/W: Pg. 396 # 11, 14, 15, 16, 19 – 24 (all)• HOME LEARNING: Worksheet

bx

Definition of the Exponential Function• The exponential function f with base b is defined by

• f (x) = bx or y = bx

• Where b is a positive constant other than and x is any real number.

• Here are some examples of exponential functions.

• f (x) = 2x g(x) = 10x h(x) = 3x+1

EXPONENTIAL FUNCTIONS NOTES

An is a function

of the form ,

where 0, 0, and 1,

and t

expone

exponent vahe riab

ntial f

must be a .

unction

le

xy

b

b

b

a

a

AGENDA: PRE-CALCULUS HONORS. DAY 62; TUE. NOV.24, 2015; (2nd 9-WEEKS)• EXPONENTIAL FUNCTIONS: PG. 388 - 399• LEARNING OBJECTIVES; SWBAT:- to know the characteristics of the

exponential functions; to show transformation of exponential functions by graphing.

• ACTIVITIES: More notes on exponential functions. • C/W: Pg. 397 # 35, 39, 42, 46, 48, 50, 51, 52.• HOME LEARNING: HAPPY THANKSGIVING

AGENDA: PRE-CALCULUS HONORS. DAY 63; MON. NOV.30, 2015; (2nd 9-WEEKS)• EXPONENTIAL FUNCTIONS: PG. 388 - 399• LEARNING OBJECTIVES; SWBAT:- to investigate the Natural number

e; to show transformation of exponential functions by graphing.• ACTIVITIES: Notes on the Natural number e. • Worksheet on graphing exponential functions and solving interest

using the natural number e.• HOME LEARNING:

What is e ?

• e is an irrational number.• e ≈ 2.718• e ≈ 2.718281828• and, the value of e to a “few” more decimal places

Why the letter e ?• Leonhard Euler (lay’-ohn-hart oy’ –lur,) 5/15/1701 to

9/18/1783 was born in Basel, Switzerland.• He was one of the most prolific mathematicians in

history. He refined the notion of a FUNCTION; made common many mathematical notations including e , i for, the pi symbol (∏) , and the sigma symbol (Σ).1

How can we compute the value for e?

11 for "very large".

n

e nn

1,000,000

1,000,000,000

11 2.718280469

1,000,000

11 2.718281827

1,000,000,000

Your calculator shows that 2.718281828e

AGENDA: PRE-CALCULUS HONORS. DAY 64; TUE. DEC.01, 2015; (2nd 9-WEEKS) [ODD-DAY]• EXPONENTIAL FUNCTIONS: PG. 388 - 399• LEARNING OBJECTIVES; SWBAT:- to investigate the Natural number

e; to show transformation of exponential functions by graphing.• ACTIVITIES: Worksheet on the Natural number e. Collect worksheet. • Pg. 397 # 53, 55, 56; & 65 – 68(all), & 73.• HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 65; WED. DEC.02, 2015; (2nd 9-WEEKS) [EVEN-DAY]

• EXPONENTIAL FUNCTIONS: PG. 388 - 399• LEARNING OBJECTIVES; SWBAT:- to investigate the Natural number

e; to show transformation of exponential functions by graphing.• ACTIVITIES: Worksheet on graphing exponential functions.• Worksheet will be collected today.• Notes on the Natural number e. • HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 66; THUR. DEC.03, 2015; (2nd 9-WEEKS) [EVEN-DAY]

• EXPONENTIAL FUNCTIONS: PG. 388 - 399• LEARNING OBJECTIVES; SWBAT:- to investigate the Natural number

e; to show transformation of exponential functions by graphing.• ACTIVITIES: Notes on the natural number e. • Pg. 397 # 53, 55, 56; & 65 – 68(all), & 73.• Worksheet on Problems involving Exponential Growth and Decay.• HOME LEARNING:

Exponential Decay Problem.

• Tennis Tournament Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds?

Rounds 1 2 3 4 5

Number of Players left

64 32 16 8 4

FUNCTION: a = the initial amount before the decay beginsr = decay ratex = the number of intervals

as x ranges from 1 to 5 for this problem

xraY 1

xY 5.1128

PROBLEM 2

• Diego decided to invest his $500 tax refund rather than spending it. He found a bank that would pay him 4% interest, compounded quarterly. If he deposits the entire $500 and does not deposit or withdraw any other amount, how long will it take him to double his money in the account?

SOLUTION TO PROBLEM 2

AGENDA: PRE-CALCULUS HONORS. DAY 67; FRI. DEC.04, 2015; (2nd 9-WEEKS) [REGULAR-DAY]

• EXPONENTIAL FUNCTIONS: PG. 388 - 399• LEARNING OBJECTIVES; SWBAT:- To solve real world problems using

exponential functions and the Natural number e; to show transformation of exponential functions by graphing.

• ACTIVITIES: Quiz on Exponential functions.• HOME LEARNING: W/S on exponential functions.

AGENDA: PRE-CALCULUS HONORS. DAY 68; MON. DEC.07, 2015; (2nd 9-WEEKS)

• LOGARITHMIC FUNCTIONS:• LEARNING OBJECTIVES; SWBAT:- Change from logarithmic to exponential form.• 2. Change from exponential to logarithmic form.• 3. Evaluate logarithms.• 4. Use basic logarithmic properties.

• ACTIVITIES: Notes on Logarithmic functions. See worksheet. •• Emphasize the “Characteristics of Logarithmic Functions of the Form ” • Pg. 410 #10 – 40 (Even). • HOME LEARNING: W/S on Logarithmic functions.

( ) logbf x x ” in the book.

AGENDA: PRE-CALCULUS HONORS. DAY 69; TUE. DEC.08, 2015; (2nd 9-WEEKS)

• LOGARITHMIC FUNCTIONS:• LEARNING OBJECTIVES; SWBAT:- Change from logarithmic to exponential form.• 2. Change from exponential to logarithmic form.• 3. Evaluate logarithms.• 4. Use basic logarithmic properties.• 5. Graph Logarithmic functions• ACTIVITIES: Complete Pg. 410 #10 – 40 (Even). • Emphasize the inverse properties of logarithms.• W/S ON GRAPHING LOGARITHMIC FUNCTIONS• HOME LEARNING: Complete Exponential and Logarithmic functions.

AGENDA: PRE-CALCULUS HONORS. DAY 70; WED. DEC.09, 2015; (2nd 9-WEEKS) • LOGARITHMIC FUNCTIONS:• LEARNING OBJECTIVES; SWBAT:- Change from logarithmic to exponential form.• 2. Change from exponential to logarithmic form.• 3. Evaluate logarithms.• 4. Use basic logarithmic properties.• 5. Graph Logarithmic functions• ACTIVITIES: Complete worksheet • Emphasize the inverse properties of logarithms.• W/S ON GRAPHING LOGARITHMIC FUNCTIONS• HOME LEARNING: Packet due on Monday 12/ 14/15.

AGENDA: PRE-CALCULUS HONORS. DAY 71; THUR. DEC.10, 2015; (2nd 9-WEEKS) • LOGARITHMIC FUNCTIONS:• LEARNING OBJECTIVES; SWBAT:- Change from logarithmic to exponential

form.• 2. Change from exponential to logarithmic form.• 3. Evaluate logarithms.• 4. Use basic logarithmic properties.• 5. Graph Logarithmic functions• ACTIVITIES: Complete Pre-calculus packet on GRAPHING LOGARITHMIC

FUNCTIONS• HOME LEARNING: Packet due on Monday 12/ 14/15.

AGENDA: PRE-CALCULUS HONORS. DAY 72; FRI. DEC.11, 2015; (2nd 9-WEEKS) • Angles and Radian Measure: Pg. 460 - 474• LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF.1.1 - Understand

radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

• ACTIVITIES: Notes on degree and radian measure; convert between degrees and radians.

• C/W: Pg. 472 # 7 – 26 (all).• HOME LEARNING: Complete Pre calculus packet; Packet due on

Monday 12/ 14/15.

AGENDA: PRE-CALCULUS HONORS. DAY 73; MON. DEC.14, 2015; (2nd 9-WEEKS) • Angles and Radian Measure: Pg. 460 - 474• LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF.1.1 – Draw angles in

standard position, find co-terminal angles. Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

• ACTIVITIES: COLLECT PRE-CALCULUS PACKET.• More activity on degree and radian measure; convert between degrees

and radians.• C/W: Pg. 473 # 30 – 76 (even).• HOME LEARNING: Pg. 473 #87 – 92(ALL).

AGENDA: PRE-CALCULUS HONORS. DAY 74; TUE. DEC.15, 2015; (2nd 9-WEEKS) • Angles and Radian Measure: Pg. 460 - 474• LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF.1.1 – Draw angles

in standard position, find co-terminal angles. Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

• ACTIVITIES: More activity on degree and radian measure; convert between degrees and radians.

• W/S: Drawing angles and finding co-terminal angles.• HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 75; WED. DEC.16, 2015; (2nd 9-WEEKS) • THE UNIT CIRCLE: Pg. 475 - 488• LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF.1.2 – Explain how

the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers.

• ACTIVITIES: Discuss worksheet. Notes on the Unit Circle. • Pg. 486 # 6 – 18(EVEN); & 19 – 24 (ALL)• Pg. 486 # 26 – 44(EVEN); • HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 76; THUR. DEC.17, 2015; (2nd 9-WEEKS) • THE UNIT CIRCLE: Pg. 475 - 488• LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF.1.2 – Explain how


• ACTIVITIES: More notes on the Unit Circle. Students to complete unit circle.

Pg. 487 # 26 – 50(EVEN); • HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 77; FRI. DEC.18, 2015; (2nd 9-WEEKS)• THE UNIT CIRCLE: Pg. 475 - 488• LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF.1.2 – Explain how


• ACTIVITIES: More notes on the Unit Circle. Students to complete unit circle.

Pg. 487 # 53 – 70 (ALL)HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 78; MON. JAN.04, 2016; (2nd 9-WEEKS)• TRIGONOMETRIC FUNCTIONS; THE UNIT CIRCLE: Pg. 475 - 488• LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF.1.2 – Explain how


• ACTIVITIES: Notes on the Periodic Functions. Pg. 487 # 53 – 70 (ALL)HOME LEARNING: Worksheet on drawing an angle with given measure in standard position. Test on Thursday (01/07/16); CH.4.1 – 4.3.

AGENDA: PRE-CALCULUS HONORS. DAY 79; TUE. JAN.05, 2016; (2nd 9-WEEKS)• RIGHT TRIANGLE TRIGONOMETRY; Pg. 489 - 501• LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT.3.8 - Use

trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Evaluate trigonometric functions

• ACTIVITIES: Notes on evaluating trigonometric functions. Pg. 498 # 6 – 34 (EVEN) HOME LEARNING: Test on Thursday (01/07/16); CH.4.1 – 4.3.

AGENDA: PRE-CALCULUS HONORS. DAY 80; WED. JAN.06, 2016; (2nd 9-WEEKS)• RIGHT TRIANGLE TRIGONOMETRY; Pg. 489 - 501• LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT.3.8 - Use


• ACTIVITIES: DISCUSS: Pg. 498 # 6 – 34(even); • W/S on “The Unit Circle” HOME LEARNING: PG. 499 # 50 – 60 (ALL) . Test on Thursday (01/07/16); CH.4.1 – 4.3

AGENDA: PRE-CALCULUS HONORS. DAY 81; THUR. JAN.07, 2016; (2nd 9-WEEKS)• RIGHT TRIANGLE TRIGONOMETRY; Pg. 489 - 501• LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT.3.8 - Use


• ACTIVITIES: CHAPTER 4.1 – 4.3 TEST.

HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 82; FRI. JAN.08, 2016; (2nd 9-WEEKS)• TRIGONOMETRIC FUNCTIONS OF ANY ANGLE; Pg. 501 – 514.• LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT.3.8 -Use the

definitions of trigonometric functions of any angle. Use reference angles to evaluate trigonometric functions.

• ACTIVITIES: Notes on finding Reference Angles, Evaluating Trigonometric Functions Using Reference Angles.

• Pg. 513 # 2 – 22(EVEN)HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 83; MON. JAN.11, 2016; (2nd 9-WEEKS)• TRIGONOMETRIC FUNCTIONS OF ANY ANGLE; Pg. 501 – 514.• LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT.3.8 -Use the


• ACTIVITIES: Notes on finding Reference Angles; Evaluating Trigonometric Functions Using Reference Angles.


AGENDA: PRE-CALCULUS HONORS. DAY 84; TUE. JAN.12, 2016; (2nd 9-WEEKS)• TRIGONOMETRIC FUNCTIONS OF ANY ANGLE; Pg. 501 – 514.• LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT.3.8 -Use the


• ACTIVITIES: Notes on finding Reference Angles; Evaluating Trigonometric Functions Using Reference Angles.


AGENDA: PRE-CALCULUS HONORS. DAY 85; WED. JAN.13, 2016; (2nd 9-WEEKS)• TRIGONOMETRIC FUNCTIONS OF ANY ANGLE; Pg. 501 – 514.• LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT.3.8 -Use the


• ACTIVITIES: Evaluating Trigonometric Functions Using Reference Angles.

• Pg. 513 # 87 – 96(ALL)HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 86; THUR. JAN.14, 2016; (2nd 9-WEEKS)• MID-CHAPTER CHECK POINT; Pg. 514 – 515.• LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT.3.8 - Use

trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Use the definitions of trigonometric functions of any angle. Use reference angles to evaluate trigonometric functions.

• ACTIVITIES: DISCUSS: Pg. 513 # 87 – 96(ALL)• C/W: PG. 514 # 2 – 30 (EVEN)HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 87; FRI. JAN.15, 2016; (2nd 9-WEEKS)• GRAPHS OF SINE AND COSINE FUNCTIONS: PG. 515 - 535• LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF.2.5 - Choose

trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

• ACTIVITIES: DISCUSS: PG. 514 # 2 – 30 (EVEN)• Notes on graphing Sine and Cosine Functions.• C/W: WS. ON GRAPHING SINE & COSINE FUNCTIONS.HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 88; TUE. JAN.19, 2016; (2nd 9-WEEKS)

AGENDA: PRE-CALCULUS HONORS. DAY 89; WED. JAN.20, 2016; (2nd 9-WEEKS)

AGENDA: PRE-CALCULUS HONORS. DAY 90; THUR. JAN.21, 2016; (2nd 9-WEEKS)

AGENDA: PRE-CALCULUS HONORS. DAY 91; FRI. JAN.22, 2016; (2nd 9-WEEKS)

agenda: pre-calculus honors. mon. day 47; nov. 02, 2015; (2 nd 9- weeks) zeros of polynomial...

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