AGENDA: PRE-CALCULUS HONORS. MON. DAY 47; NOV. 02, 2015; (2 nd 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; (2 nd 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; (2 nd 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; (2 nd 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; (2 nd 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; (2 nd 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 # 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; (2 nd 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; (2 nd 9- WEEKS) MODELING USING VARIATION: PG 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; (2 nd 9- WEEKS) MODELING USING VARIATION: PG LEARNING OBJECTIVES; SWBAT:- Solve direct, inverse, joint and 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; (2 nd 9- WEEKS) MODELING USING VARIATION: PG 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; (2 nd 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; (2 nd 9- WEEKS) MODELING USING VARIATION: PG LEARNING OBJECTIVES; SWBAT:- Solve direct, inverse, joint and 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; (2 nd 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: 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; (2 nd 9- WEEKS) CHAPTER TEST: POLYNOMIAL AND RATIONAL FUNCTIONS LEARNING OBJECTIVES; SWBAT:- Solve complex numbers, quadratic functions, rational functions and direct, inverse, joint and combination variation problems. ACTIVITIES: Chapter 2 test HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 61; MON. NOV.23, 2015; (2 nd 9- WEEKS) EXPONENTIAL FUNCTIONS: PG 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

Definition of the Exponential Function The exponential function f with base b is defined by f (x) = b x or y = b x Where b is a positive constant other than and x is any real number. Here are some examples of exponential functions. f (x) = 2 x g(x) = 10 x h(x) = 3 x+1

EXPONENTIAL FUNCTIONS NOTES

AGENDA: PRE-CALCULUS HONORS. DAY 62; TUE. NOV.24, 2015; (2 nd 9- WEEKS) EXPONENTIAL FUNCTIONS: PG 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; (2 nd 9- WEEKS) EXPONENTIAL FUNCTIONS: PG 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 ≈ e ≈ and, the value of e to a “few” more decimal places

e ≈e ≈

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 ).

How can we compute the value for e?

AGENDA: PRE-CALCULUS HONORS. DAY 64; TUE. DEC.01, 2015; (2 nd 9- WEEKS) [ODD-DAY] EXPONENTIAL FUNCTIONS: PG 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; (2 nd 9- WEEKS) [EVEN-DAY] EXPONENTIAL FUNCTIONS: PG 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; (2 nd 9-WEEKS) [EVEN-DAY] EXPONENTIAL FUNCTIONS: PG 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 TournamentEach 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? Rounds12345 Number of Players left FUNCTION: a = the initial amount before the decay begins r = decay rate x = the number of intervals as x ranges from 1 to 5 for this problem

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; (2 nd 9-WEEKS) [REGULAR-DAY] EXPONENTIAL FUNCTIONS: PG 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; (2 nd 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. ” in the book.

AGENDA: PRE-CALCULUS HONORS. DAY 69; TUE. DEC.08, 2015; (2 nd 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; (2 nd 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; (2 nd 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; (2 nd 9- WEEKS) Angles and Radian Measure: Pg LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF 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; (2 nd 9- WEEKS) Angles and Radian Measure: Pg 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; (2 nd 9- WEEKS) Angles and Radian Measure: Pg 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; (2 nd 9- WEEKS) THE UNIT CIRCLE: Pg 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; (2 nd 9- WEEKS) THE UNIT CIRCLE: Pg 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: 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; (2 nd 9- WEEKS) THE UNIT CIRCLE: Pg 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: 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; (2 nd 9- WEEKS) TRIGONOMETRIC FUNCTIONS; THE UNIT CIRCLE: Pg 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: 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; (2 nd 9- WEEKS) RIGHT TRIANGLE TRIGONOMETRY; Pg LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT 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; (2 nd 9- WEEKS) RIGHT TRIANGLE TRIGONOMETRY; Pg LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Evaluate trigonometric functions 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; (2 nd 9- WEEKS) RIGHT TRIANGLE TRIGONOMETRY; Pg LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Evaluate trigonometric functions ACTIVITIES: CHAPTER 4.1 – 4.3 TEST. HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 82; FRI. JAN.08, 2016; (2 nd 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; (2 nd 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 # 24 – 60(EVEN) HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 84; TUE. JAN.12, 2016; (2 nd 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 # 62 – 86(EVEN) HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 85; WED. JAN.13, 2016; (2 nd 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: Evaluating Trigonometric Functions Using Reference Angles. Pg. 513 # 87 – 96(ALL) HOME LEARNING:

AGENDA: PRE-CALCULUS HONORS. DAY 86; THUR. JAN.14, 2016; (2 nd 9- WEEKS) MID-CHAPTER CHECK POINT; Pg. 514 – 515. LEARNING OBJECTIVES; SWBAT:- MAFS.912.G-SRT 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; (2 nd 9- WEEKS) GRAPHS OF SINE AND COSINE FUNCTIONS: PG LEARNING OBJECTIVES; SWBAT:- MAFS.912.F-TF 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; (2 nd 9- WEEKS)

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

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

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