welcome to mrs. liu’s calculus

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06/11/22 2011 CP Calc Parents Welcome to Mrs. Liu’s Calculus

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Welcome to Mrs. Liu’s Calculus. Always encourage kids to. Be positive about learning Pay attention and a sk Q’s in class ; Work on HW daily Focus on the growth and enjoy the learning process. - PowerPoint PPT Presentation

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Page 1: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Welcome to Mrs. Liu’s

Calculus

Page 2: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

• Be positive about learning• Pay attention and ask Q’s in class ; Work on HW daily

• Focus on the growth and enjoy the learning process

Always encourage kids to

Page 3: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

The best way to reach [email protected] I check my emails several times a day

Page 4: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 5: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 6: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 7: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 8: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 9: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 10: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 11: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 11

P( x ,y )

1

x cosQ

y sin

A(1,0 )

T(1,tan )area of OAP

1= bh

2

#

1(1)(sin )

2

Page 12: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 12

P( x ,y )

1

x cosQ

y sin

A(1,0 )

T(1,tan )area of sector OAP

21= r

2

21(1 )( )

2

Page 13: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 13

P( x ,y )

1

x cosQ

y sin

A(1,0 )

T(1,tan )area of

1h

OAT

= b2

#

1(1)tan

2

Page 14: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 14

P( x ,y )

1

x cosQ

y sin

A(1,0 )

T(1,tan ) OAP< < AOAP O T# #

Page 15: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 15

1 1 1sin tan

2 2 2

11

sin cos

OAP< < AOAP O T# #

Page 16: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 16

11

sin cos

sincos 1

Page 17: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 17

0limcos 1

0

sinlim 1

sincos 1

Page 18: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 18

OO

O

OO

O

O

OO

·····

··

·· § ¨y = x

y x

y x 1

x x1 x

Page 19: Welcome to              Mrs. Liu’s Calculus

04/21/23 Mrs. Liu's AP Calculus AB Block 9 19

Example 33 Prove by “Squeeze Theorem”

x

xlim 1

x

Page 20: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 21: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 22: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 23: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 24: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 25: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

When students review for a test/quiz, don’t forget to study the formulas

Page 26: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

The Graphs of Eight Basic Functions

Page 27: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Transformations of Functions

Page 28: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Basic Types of Transformations

Page 29: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Graphs of Inverse Trigonometric Functions

Page 30: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Properties of Inverse Trigonometric Functions

Page 31: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Definition of the Natural

Logarithmic Function

Page 32: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Whenever there is a need to go over Pre-Calculus, don’t just sit and worry.

Page 33: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Page 34: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

How do students study to prepare for Midterm/Final Exam

• Go over returned tests , quizzes • Review packet distributed 2 weeks earlier • Download Solutions on webpage

• In-class 5-day review• Textbook

Page 35: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

Midterm exam review packet with solutions

Posted two weeks before the exam

Page 36: Welcome to              Mrs. Liu’s Calculus

04/21/23 2011 CP Calc Parents

• If there is ANY concern or INFORMATION that might help me to better understand your child’s need in learning “Calculus”, please don’t hesitate to email “[email protected]

• Thank you very much

Your Input is very important to me……