AGENDA: PRE-CALCULUS HONORS. MON. DAY 48; 10/27/13 (2 nd 9-WEEK LEARNING OBJECTIVES; SWBAT:- Find...

AGENDA: PRE-CALCULUS HONORS.MON. DAY 48; 10/27/13 (2nd 9-WEEK

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

• ACTIVITIES: Notes on Rational functions. • C/W: Pg. 355 # 22 – 48 (even)• HOME LEARNING: REGISTER WITH WWW.

QUIA.COM TODAY IN CLASS. (10/27/14)

Rational Functions

Rational Functions are quotients of polynomial

functions. This means that rational functions can

( )be expressed as f(x)= where p and q are

( )

polynomial functions and q(x) 0. The domain

of a rat

p x

q x

ional function is the set of all real numbers

except the x-values that make the denominator zero.

Find the domain of the rational function

2 16( )

4

xf x

x

2( )

36

xf x

x

AGENDA: PRE-CALCULUS HONORS.TUE. DAY 49; 10/28/14 (2nd 9-WEEK

• LEARNING OBJECTIVES; SWBAT: Identify vertical and horizontal asymptotes. Graph rational functions.

• ACTIVITIES: Power point presentation on Rational functions; See notes on next page of power point. Pg. 355 # 50 – 70(even);

• HOME LEARNING: Complete for Home Learning if not completed in class. Go to www.khanacademy.com

• Work on “Graph Rational Functions”; “Dividing polynomials with remainders”; “Remainder Theorem of Polynomials”. Must be completed by Friday 10/31/14.

http://www.khanacademy.com/

STRATEGY FOR GRAPHING A RATIONAL FUNCTION

AGENDA: PRE-CALCULUS HONORS.WED. DAY 50; 10/29/14 (2nd 9-WEEK

• LEARNING OBJECTIVES; Identify slant asymptotes. Graph rational functions with slant asymptote.

• ACTIVITIES: Power point presentation on Rational functions. Pg. 355 # 71 - 78

• HOME LEARNING: Go to www.khanacademy.com• Work on “Graph Rational Functions”; “Dividing

polynomials with remainders”; “Remainder Theorem of Polynomials”. Must be completed by Friday 10/31/14.


THE SLANT ASYMPTOTE

The graph of a rational function has a slant asymptote

if the degree of the numerator is one more than the

degree of denominator. The equation of the slant

asymptote can be found by division. It is the equation

of the dividend with the term containing the remainder

dropped.

THE SLANT ASYMPTOTE

1. x y is asymptoteslant theofequation theThus,

remainder. with the term thedroppingby obtained

is asymptoteslant theofequation The

2. ofremainder a and 1 x isquotient The

22

1 x into 1 - x divide ,,11

)(

xxxf

AGENDA: PRE-CALCULUS HONORS.THUR. DAY 51; 10/30/14 (2nd 9-WEEK

• LEARNING OBJECTIVES; Solve applied problems involving rational functions.

• ACTIVITIES: Power point presentation on applied problems. Pg. 356 # 85 – 88; & 91-92.

• HOME LEARNING: www.khanacademy.com• Keep working on recommended problems from Coach

Reid. Complete the 3 activities by Friday (10/31/14 for a Quiz grade. You will be graded by the average % of the 3 activities completed or not completed.

•


AGENDA: PRE-CALCULUS HONORS.FRI. DAY 52; 10/31/14 (2nd 9-WEEK

• LEARNING OBJECTIVES; Review polynomial and rational functions

• ACTIVITIES: The 3 Khan Academy activities will be graded by the average % you received (Quiz grade).

• C/W: Pg. 385 # 1 – 16• HOME LEARNING: See www.Quia.com activity

on “Polynomials Division” & “Graphing Quadratic Functions”. Complete ASAP for a grade.

http://www.quia.com/


• ANGLES & RADIAN MEASURES Pg. 460 - 475 • LEARNING OBJECTIVES; Recognize and use

vocabulary of angles. Convert between degrees and radians. Draw angles in standard position.

• ACTIVITIES: Notes on angles & radians. • Complete worksheet on C/W: Pg. 472 #1 - 40• HOME LEARNING: Review sheet on Chapter 2

to review for test on Thursday (11/06/14).


• ANGLES & RADIAN MEASURES Pg. 460 - 475 • LEARNING OBJECTIVES; Draw angles in standard

position. Find co-terminal angles• ACTIVITIES: Discuss Pg. 472 #1 – 40.• Notes on co-terminal angles & Length of a

Circular Arc. Complete worksheet on unit circle.• C/W Pg. 473 # 41 – 86 (all)• HOME LEARNING: Complete review worksheet

for TEST on THURSDAY (11/06/14);


• CHAPTER 2 TEST ON POLYNOMIALS & RATIONAL FUNCTIONS.

• LEARNING OBJECTIVES; SWBAT: Perform operations with square roots of negative numbers, solve problems involving quadratic function’s minimum or maximum value; Understand Polynomial functions & their graphs.

• ACTIVITIES: TEST #1 2nd 0-weeks. • HOME LEARNING: PG. 474. #88 – 92 (all)


• TRIGONOMETRIC FUNCTIONS: THE UNIT CIRCLE Pg. 475 - 489

• LEARNING OBJECTIVES; Use Unit circle to define trigonometric functions of real numbers.

• ACTIVITIES: Discuss Pg. 473 #41 – 86 (all)• Notes on Unit Circle. Complete worksheet on

unit circle.• C/W Pg. 486; # 1 – 18.• HOME LEARNING:


• TRIGONOMETRIC FUNCTIONS: Pg. 475 - 489 • LEARNING OBJECTIVES; Find exact values of

the trigonometric functions. Use even and odd trigonometric functions.

• ACTIVITIES: More notes on Unit circle.• C/W: Pg. 487 #20 – 44 (all)• HOME LEARNING: Tomorrow is Veteran’s DAY.


• TRIGONOMETRIC FUNCTIONS: Pg. 475 - 489 • LEARNING OBJECTIVES; Find exact values of

the trigonometric functions. Use even and odd trigonometric functions.

• ACTIVITIES: Notes on Trigonometric Functions.

• C/W Pg. 487; # 45 – 60(all).• HOME LEARNING:


• TRIGONOMETRIC FUNCTIONS: Pg. 475 - 489 • LEARNING OBJECTIVES; Find exact values of the trigonometric

functions. Recognize the domain and range of sine and cosine functions. Use even and odd trigonometric functions.

• ACTIVITIES: Notes on Trigonometric Functions. C/W Pg. 486; # 1 – 32(all).

• HOME LEARNING: Complete classwork. Go to www.Killian.net and print & complete w/s Chapter 4.2 – 4.4 (TEST ON THURSDAY: CH. 4.1 – 4.2). Also go to www.khanacademy.org to complete “4 Trigonometric functions” activities (Due 01/09/14)

http://www.killian.net/

http://www.khanacademy.org/


• TRIGONOMETRIC FUNCTIONS: Pg. 475 - 489 • LEARNING OBJECTIVES; Find exact values of the trigonometric

functions at Use even • and odd trigonometric functions. • ACTIVITIES: Discuss Pg. 486 #1 – 32 (all). Power-point presentation. C/W

Pg. 487; # 33 – 52(all).• HOME LEARNING: Pg. 487 # 53 – 70 (all). Complete classwork. Go to

http://killian.dadeschools.net and print & complete w/s Chapter 4.2 – 4.4 (TEST ON THURSDAY: CH. 4.1 – 4.2). Also go to www.khanacademy.org to complete “4 Trigonometric functions” activities. (Due 01/09/14)

•

.4

http://killian.dadeschools.net/



• TRIGONOMETRIC FUNCTIONS: Pg. 475 - 489 • LEARNING OBJECTIVES; Use periodic properties.• Evaluate trigonometric functions with a calculator.• ACTIVITIES: Discuss Pg.487 #33 – 70; • C/W: Pg. 580 # 1 – 30.• HOME LEARNING: Go to http://killian.dadeschools.net

and print & complete w/s Chapter 4.2 – 4.4. KEEP WORKING ON CHAPTER 4.2 – 4.4. [Due 01/15/14];

• Also go to www.khanacademy.org to complete “4 Trigonometric functions” activities. (Due 01/09/14)



AGENDA: PRE-CALCULUS HONORS.TUE. DAY 62; 11/18/14 (2nd 9-WEEK

• TRIGONOMETRIC FUNCTIONS: Pg. 475 - 489 • LEARNING OBJECTIVES; Use periodic properties.• Evaluate trigonometric functions with a calculator.• ACTIVITIES: Discuss Pg. 580 # 1 – 30.• TEST on Ch. 4.1 – 4.2• HOME LEARNING: Go to http://killian.dadeschools.net

and print & complete w/s Chapter 4.2 – 4.4. KEEP WORKING ON CHAPTER 4.2 – 4.4. [Due 01/15/14]; Also go to www.khanacademy.org to complete “4 Trigonometric functions” activities. (Due 01/09/14)




• RIGHT TRIANGLE TRIGONOMETRY: Pg. 489 - 501 • LEARNING OBJECTIVES; Use right triangles to

evaluate trigonometric functions. Find function values for

• ACTIVITIES: C/W: Pg. 498 # 1 – 34 (ALL).• HOME LEARNING: Go to

http://killian.dadeschools.net and print & complete w/s Chapter 4.2 – 4.4. KEEP WORKING ON CHAPTER 4.2 – 4.4. [Due 01/15/14];

30 ,45 , and 60 .6 4 3


AGENDA: PRE-CALCULUS HONORS.THUR. DAY 64; 11/20/14 (2nd 9-WEEK)

• RIGHT TRIANGLE TRIGONOMETRY: Pg. 489 - 501

• LEARNING OBJECTIVES; Use equal co-functions of complements. Use right triangle trigonometry to solve applied problems.

• ACTIVITIES: Discuss Pg. 498 # 1 – 34 (ALL). • C/W: Pg. 499 # 35 – 60 & 74 - 83• HOME LEARNING: Complete class work.• Go to http://killian.dadeschools.net and print & complete w/s

Chapter 4.2 – 4.4. KEEP WORKING ON CHAPTER 4.2 – 4.4. [Due 01/15/14]; Also go to www.khanacademy.org to complete “4 Trigonometric functions” activities. (01/15/14)




• Trigonometric of any Angle Pg. 501 – 514•LEARNING OBJECTIVES; Use the definitions of

trigonometric functions of any angle.•Use the signs of the trigonometric functions.

• ACTIVITIES: Discuss Pg. 501 # 74 – 83. C/W: Pg. 513 # 1 – 22 (all)

• HOME LEARNING: Complete class work.• Go to http://killian.dadeschools.net and print &

continue to work on Chapter 4.2 – 4.4. • [Due 01/15/14; TODAY];


AGENDA: PRE-CALCULUS HONORS. MON. DAY 48; 10/27/13 (2 nd 9-WEEK LEARNING OBJECTIVES; SWBAT:- Find...

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