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December 01, 2008

Calculus Agenda Dec.1st - 5th

Essential Question: How can we find volumes of solids of revolution using disk or washer methods?
M.Calc.3.3 Integration: Finding Volumes of Revolution

Mon. - Disk Method / Worksheet. and p.423 unit plan bookwork
Tues. - Disk Method(cont.) / Worksheet and p.423 # 23,25,27,28
Wed. - Washer Method / Worksheet and p. 423 unit plan bookwork
Thurs.- Washer Method (cont.)/ Worksheet and p.423 # 15,20,21
Fri. - Shell Method/ Worksheet and p. 432 unit plan bookwork

November 15, 2008

Non-AP Calculus Agenda Nov.17th -21st

Essential Question: How do I find the area between 2 curves?
M.Calc.3.2 Integration: Finding area between curves
M.Calc.3.30 Integration:Finding Volumes of Solids

Mon. - Area Between 2 Curves / Worksheets
Tues. - Area Between Curves (cont.)/ Worksheets & selected problems
Wed. - PlayDoh Lab to introduce volumes by known cross sections
Thurs. - Volumes by known cross-sections lab / finish classwork packet
Fri - Food Lab to introduce volumes of solids of revolution

November 08, 2008

Slope"Directional" Fields and Differential Equations

Diffy Q's.gif

Non-AP Calculus Agenda Nov.10th - 14tth

Essential Question: What are Slope Fiels and how are they useful?
M.Calc.(1.12) Integration:Substitution

Mon. - (M.Calc.1.21) Integrating Exponential Functions / Wsheet/ bookwork listed on unit plan
Tues.- (M.Calc.1.10) Slope Fields/ Begin Differential Equations / (Worksheets)
Wed. - (M.Calc.1.10) Differential Equations(cont.)/ bookwork listed on unit plan
Thurs.- Integration Review Day/ Review Worksheet
Fri. - Unit Test over Integration

November 02, 2008

Calculus Agenda - Nov.3rd - 7th

Essential Question: What different techniques are there to find area under a curve?
M.Calc.1.12: Integration:Substitution
M.Calc.3.4: Integration: Estimating Areas

Mon. - Fundamental Theorem of Calculus / 2 Handouts
Tues. - No classes meet
Wed. - Average Value of a Function / Handout
Thurs.- Numerical Integration/ Trapezoidal Rule Handout
Fri. - Integrating 1/X / Worksheet/Unit plan bookwork

Note: Continue to be prepared for mini-quizzes on quick integrals.

October 25, 2008

Calculus Agenda Oct.27th - 31st

Essential Question: What is the Meaning of Integration?
(M.CALC.3.1) The learner will relate the definite integral to area under a curve. The learner will define and apply properties of the definite integral.

Mon. - Antiderivatives & Indefinite Integration/ Worksheet / p.248 # 11-42 all
Tues. - Riemann Sums/ Worksheets
Wed. - Definite Integrals/Worksheet/p.271 #1-24 all, #43,44
Thurs.- Fundamental Theorem of Calculus / Worksheet/ p.283 #1-20,25-30,33-38 all
Fri. - Integration by "U" Substitution/ Worksheet/ p.296-97 #7-12,33,34,36,39

October 18, 2008

Calculus Agenda Oct.20th - 24th

Essential Question: How can calculus be used to solve real life applications where we want to maximize or minimize an outcome?
(M.CALC.1.9) The learner will apply derivatives;solve optimization and rate of change problems

Mon. - Related Rates Mixed Applications/ Groupwork / Worksheets
Tues. - Max-Min Optimization Day 1 / Worksheets / Assign Box Project
Wed. - Max-Min Day 2 / Business Applications/ Worksheet
Thurs - Partner Test / Study for individual part of test
Fri. - Individual Part of Test / Finish Box Project

October 11, 2008

Calculus Agenda Oct.13th - 17th

Mon. - Mid-Term Exam
Tues. - Implicit Differentiation/ Worksheet / Unit Plan Bookwork
Wed. - PSAT/ Testing / Early Release Day (no classes meet)
Thurs. - Max-Min/ Optimization Worksheet/ Assign Box Project
Fri. - Max-Min/Optimization (Business Applications)/Worksheets

October 03, 2008

Non-AP Calculus Agenda Oct. 6th - 10th

Essential Question: What does the first and second derivative tell us about the behavior of a function?
State QCC'c(M.Calc.1.8)

Mon. - Second Derivative Test, Concavity and Points of Inflection/ Worksheets and selected problems
Tues. - Curve Sketching Groupwork/ Worksheets
Wed. - Review work / Study
Thurs. - Quiz over Curve Sketching / L'Hopital's Rule/ Worksheet
Fri. - Begin Review for Mid-Term / Review Packet

September 27, 2008

Non-AP Calculus Agenda Sept.29th - Oct.3rd

Essential Question: What does the first derivative tell us about the original function?

Mon. - Review Day / Worksheets (Position, Velocity, Acceleration, & Particle Motion)
Tues. - Review Day / Worksheet / Study for Test
Wed. - Unit Test over Derivatives
Thursday - Introduction to Curve Sketching / Worksheets
Friday - y' test and critical points / worksheet / unit plan bookwork

September 20, 2008

Non AP Calculus Agenda Sept.22 - 26

Essential Question: How can you take derivatives of transcendental functions?
State QCC'S - M.Calc.1.4, 1.7

Mon. - Derivatives of Trig Functions/ Worksheet / bookwork (unit plan)
Tues. - Mixed Practice with Trig / Worksheet
Wed. - Derivatives of the lnx / worksheet / bookwork(unit plan)
Thurs. - Derivatives of Exponentials (e and a) /worksheet / unit plan bookwork
Fri. - Position,Velocity,and Acceleration / Handout / selected book problems

September 13, 2008

Rules of Derivatives: Power, Product, Quotient, and Chain Rule - Techniques for computing derivatives

Rules.jpg

Non-AP Calculus Unit Plan - Derivatives

You can download or refer to the unit plan at the link below.
Download file

Non-AP Calculus Agenda Sept.15th - 19th

Essential Question: What are some shortcut derivative rules?

Mon. - (M.Calc.1.4) Product & Quotient Rule/ Worksheet/ p.121 1-3, 7-22,51,52, 73-76
Tues. - Mixed Derivatives Using Rules / Worksheet
Wed. - (M.Calc.1.5) Chain Rule / Worksheet / p.130 #7-24 (all)
Thurs.- Chain Rule (cont.)/ Worksheet / p.131 # 25,27,29,53-61(odd), 69,70
Fri. - Review / Quiz

September 06, 2008

Non-AP Calculus Agenda Sept.8th - 12th

Essential Question: What is a Derivative?

Mon. - Review Limits & Continuity / Worksheet
Tues. - Unit 2 Test on Limits and Continuity
Wed. - (M.Calc.1.2)Average Rate of Change vs. Instantaneous Rate of Change/ Worksheet
Thurs.- (M.Calc.1.2) Meaning of a Derivative / Worksheets
Fri. - (M.Calc.1.4)Power Rule/ Higher Order Derivatives/ Worksheets/ p.110 #1-12,17-28,31-40

August 30, 2008

Essential Question: When Is a Function Continuous?

Function Continuity.gif

Calculus Agenda Sept.2nd - 5th

We will continue exploring limits and continuity this week. We will also look at end behavior and limits that approach infinity.

Tues. - Continuity(M.Calc.1.14)/ Worksheet/ pp.75-78 #1-3,27-46, 55,64,65,67,68
Wed. - Intermediate Value Theorem(M.Calc.1.14)/Worksheet/p.77 #73-76,79,80
Thurs.- Asymptotes & End Behavior(M.Calc.1.13)/ Worksheet/p.84#1-4, 9-14,17-21,25-40
Fri. - Infinite Limits(M.Calc.1.13) / Worksheet / p.193 #11-16,23,24

August 23, 2008

Welcome to Calculus and Limits!

limits.JPG

Calculus Agenda Aug 25th - Aug 29st

We will begin our study of Calculus by exploring Limits.
Essential Question: What are limits and how are they used in Calculus?
Note: It is imperative that you do daily assignments as the concepts you will study from here on out are totally new!

Monday - Limits from Graphs / Worksheets in class and for homework
Tuesday - Graphs from Limits / Worksheets
Wednesday - One-Sided Limits / Worksheet / study for quiz
Thursday - Quiz / Creative Factoring Worksheet
Friday - Finding Limits Algebraically / Worksheet / pp.64+65 #1-50 (odd)

Remember
: Open House is Tuesday, Aug.26th(for seniors). Remind your parents.

August 16, 2008

Non-AP Calculus Syllabus

Download file

Calculus Agenda Aug.18 - 22

Welcome to Calculus! I'm very excited about the opportunity to teach you and have a goal that you will excel and may even want to continue on and take AP Calculus AB in the spring. This is a great opportunity that we offer students. The pre-requisite packet is due this Friday when you take your first unit test over the precalculus material. If you need another copy of it you can download one off the Harrison web page under academics. There is a section called math pre-requisite packets. Click on it and you will find Calculus. Make sure you show your work!
Do not wait until the last minute for any extra help needed. I am available before and after school but you must let me know in advance that you are coming.

Monday - Exponential & Logarithmic Functions - 2 worksheets
Tuesday - Transformations - Worksheets
Wednesday - Trig Review - Worksheet
Thursday - Review Day / Review Packet
Friday - Unit 1 Test- Pre-Calculus / Pre-Requisite Packet Due


May 18, 2008

Finals Week - Exam Schedule

Mon. - Calculus Final Exam (5th hour Seniors)
Tues. & Wed. - Review days for underclass finals
Thurs. - Integrated II Final Exam (2nd hour)
Fri. - Calculus Final Exam (Juniors)


Good luck on your exams!
Have a great summer and it has been a pleasure teaching all of you.

May 06, 2008

Calculus Agenda May 12th - 19th

Mon - Work on "Skinny" Project
Tues. - Project Work (cont.)
Wed. - Guest Speaker Day
Thurs. - Review for Final / Review Packet
Fri. - Review for Final (cont.)
Mon. - Senior Final Exam (5th hour)

May 03, 2008

Washer Method to find Volumes of Solids of Revolution

washers.gif

Shell Method to find Volumes of Solids of Revolution

shells.gif

Calculus Agenda May 5th - 9th

Essential Question: How can I find the volume of a solid of revolution using washers?

Mon. - Washer Method / Worksheet / Unit Plan assignment
Tues. - Washer Method (cont.) / Unit Plan assignment
Wed. - Shell Method / Worksheet / Bookwork from Unit Plan
Thurs.- Review Day - Review worksheet
Fri. - Unit Test (Partner) / Big Notebook Check

Note: Students should be working on their "skinny" project.
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April 25, 2008

Calculus Agenda April 28 - May2

Essential Question: How can I find the volume of a solid of revolution?

Mon. - Area Between Curves (cont.) / Worksheet & selected problems
Tues. - PlayDoh Lab / Lab write-up
Wed. - Food Lab (Edible Calculus!)/ no assignment
Thurs. - Disk Method / Worksheet & Unit plan problems
Fri. - Disk Method (cont.) / Unit plan problems

April 19, 2008

A Symbolic Solution of a Separable Differential Equation.

Diffy Q's.gif

April 18, 2008

Calculus Agenda April 21st-25th

Essential Question: How do I solve a differential equation?

Monday - Differential Equations / Worksheet
Tuesday - Diffy Q's cont. (Separation of Variables)/ selected textbook problems
Wednesday - Review Day / Worksheet
Thursday - Unit Test on Integration / No homework
Friday - Area Between Curves / Worksheet

April 07, 2008

Slope (Directional) Fields

From this family of curves, we can tell the behavior of the original function.

SlopeField_.gif

Calculus Agenda April 14th - 18th

Essential Question: What is meant by the Average Value of a Function?

Monday - Average Value of a Function / Worksheet
Tuesday - Trapezoidal Rule / Worksheet / p.304 #1-5 all, 39-42
Wednesday - Integrating Lnx / Worksheet / p.327#1-13 odd,19-25,33-36 all, 61,63
Thursday - Integrating Exponential Functions / Worksheet / p.345 #75-85,88-90, p.356 #69-76
Friday - Slope Fields / Worksheet

March 29, 2008

Calculus

We begin our study of the second branch of Calculus, Integral Calculus.
We will investigate how to find the area under a curve and what it means.

integration.gif

Calculus Agenda March 31st - April 4th

Essential Question: What is Integration?

Mon - Indefinite Integration / Worksheets/pp.248-49 #11-42
Tues. - Riemann Sums/Worksheet
Wed. - Definite Integration/ Worksheet/pp.271-73#1-24 odd,43,44
p.283 #5-20,25-30,33-38
Thurs. - U Substitution to Integrate / Worksheet/pp.296-97#7-17,34-40,55-63,91,92
Fri. - U Substitution (cont.) / Worksheet

March 23, 2008

Derivative Applications - Related Rates Cone Problem

RelRates-Cone.gif

March 21, 2008

Calculus Agenda March 24th - 28th

Essential Question: What are Related Rates and how can calculus solve these problems?

Mon. - Related Rates Mixed Applications / Groupwork/ Worksheets
Tues. - Related Rates Review / Individual Portion / Worksheet
Wed - Unit Test / Partner Part
Thurs. - Unit Test / Individual Part
Fri. - Area Under A curve / Indefinite Integration (Worksheet)

March 15, 2008

Using Derivatives to Solve Related Rates Applications

Joey is perched precariously on top of a10 ft ladder. It starts to slide down the wall at a rate of 4 ft/min!
Chris is standing on the ground 6ft from the wall. How fast is the base of the ladder moving when it hits Chris?
Joey.bmp

Calculus Agenda March 17th - 21st

Essential Question: How can derivatives solve real life applications?

Mon. - Max-Min Problem (Economic) / Worksheet
Tues. - Max-Min Problems (Mixed Practice) Groupwork / Worksheets(2)
Wed. - Implicit Differentiation / Worksheet
Thurs.- Related Rates Applications / Worksheet
Fri.- Related Rates using Similar Triangles / Worksheet

March 08, 2008

Start reviewing for your Mid-Term early!!!

start early.jpg

Calculus Agenda March 10th - 14th

Essential Question: How can L"Hopital's Rule be applied to take a limit?

Monday - L'Hopital's Rule / Worksheet
Tuesday - Review for Mid-Term / Review Packet
Wednesday - Review for Mid-Term / Review Packet
Thursday - Mid-Term Exam / No assignment
Friday - Max-Min/Optimization / Worksheet

Note: Start preparing for the mid-term early! Work on the review packet each day and try and master those concepts. I am available for extra help before and after school if needed everyday. We will celebrate Pi Day on Friday (March 14th) by enjoying pie while we begin the second leg of our journey through Calculus.

March 01, 2008

Derivatives and Curve Sketching

Curve Sketching.gif

Calculus Agenda March 3rd - 7th

Essential Question: How can derivatives help us examine and curve sketch functions?

Monday - Introduction to Curve Sketching / 3 worksheets
Tuesday - First Derivative Test/ class worksheets/ Unit Plan (selected problems)
Wednesday - Second Derivative Test/ class worksheets & selected problems
Thursday - Curve Sketching Groupwork / Worksheets
Friday - Curve Sketching Quiz

February 23, 2008

Calculus

We will explore the derivatives of exponential functions. What can you "derive" from this graph?
deriv-ex1.gif

Calculus Agenda Fe.25th - 29th

Essential Question: How do I take derivatives of exponential functions?

Monday - Derivatives of exponentials/ Worksheet/ Unit plan pp.345 & 354
Tuesday - Position/Velocity/Acceleration / Worksheet
Wednesday - Particle Motion / Worksheet
Thursday - Review Day/ 2 Review Packets
Friday - Unit 3 Test Derivatives/ Homework Due

February 16, 2008

We will learn the Derivatives of Trig Functions this week

trig.gif

Calculus Agenda Feb. 20th - 22nd

Essential Question: How do I compute the derivatives of trig functions?

Monday & Tuesday - Student Holidays
Wednesday - Derivatives of Trig Functions/ Worksheet /p.121#5,6,27-42
Thursday - Mixed Practice / Worksheet / p.130#4-6,41-52all,63,64,71,74
Friday - Derivatives of Lnx / Worksheet /p.319 #41-53, 59-62

February 08, 2008

Rules of Derivatives

Differentiation_Rules2.gif
This photo symbolizes what we are learning as we explore derivatives.
Look at how far we have come and how much you will learn in the next week!

Calculus Agenda Feb.11th - 15th

Essentials Question: What rules of derivatives do I need to know?

Monday - Product & Quotient Rule / Worksheet & Unit Plan p.121
Tuesday - Mixed Derivatives / Worksheet & Summary Sheet
Wednesday - Chain Rule / Worksheet & p.130 #7-24(all)
Thursday - Chain Rule (cont.) / Worksheet & Unit Plan p.131
Friday - Quiz - Rules of Derivatives

February 02, 2008

What is the meaning of a derivative?

Derivative.gif

February 01, 2008

Calculus Agenda Feb.4th - 8th

Essential Question: What is the meaning of a derivative?

Monday - Review of Limits & Continuity / Worksheet
Tuesday - Unit 2 Test- Limits & Continuity
Wednesday - Meaning of Derivative / Worksheet/
Thursday - Tangent line to a curve at a point; Average Rate of Change vs. Instantaneous Rate of Change/ Worksheets/pp.98-9,#17,20,26,61,65,69-71
Friday - Power Rule / Higher Order Derivatives/ Worksheets/p.110 #1-12,17-28,31-40

January 26, 2008

When is a Function Continuous? Where is this function discontinuous? What type of discontinuity is it?

Function Continuity.gif

Calculus Agenda Jan.28th - Feb.1st

Essential Question: What makes a function continuous?
Mon. - Algebraic Limits / Worksheet / p.64-65 #1-50(even),p.76 #5-22(all)
Tues. - Continuous Functions / Worksheet/ pp.75-78 #1-3,27-46,55,64,65,67,68
Wed. - Intermediate Value Theorem / Worksheet / p.77#73-76,79,80
Thurs.- Asymptotes & End Behavior / Worksheet/p.84 #1-4,9-14,17-21, 25-40
Fri. - Infinite Limits / Worksheet/ Begin Review Packet for Unit Test

January 19, 2008

Welcome to Limits in Calculus!

limits.gif

Calculus Agenda Jan.22nd - Jan.25th

We will begin our study of Calculus by exploring Limits.
Essential Question:What are limits and how are they used in Calculus?
It is imperative that you keep up with daily assignments as the concepts you study from here on out are totally new!

Tuesday - Limits from Graphs / Worksheets in class and for homework
Wednesday - Graphs from Limits / 2 Worksheets
Thursday - One-Sided Limits / Worksheet
Friday - Quiz / Creative Factoring Worksheet

Reminder: Open House is Thursday, Jan.24th from 5:30-7:30 in a drop by meet and greet setting.

January 12, 2008

Calculus Agenda Jan.14th - Jan.18th

Essential Question: What concepts are necessary for Calculus?

Monday - Composition of Functions and Inverse Functions / Class Worksheet/ Review Work
Tuesday - Exponential & Logarithmic Functions - Worksheet and review packet problems
Wednesday - Transformations /- 2 Worksheets
Thursday - Trigonometry Review / Worksheet / finish review sheet and pre-requisite packet
Friday - Unit 1 Test - Pre-Calculus

January 06, 2008

Calculus Syllabus Spring '08

Welcome to Calculus! Below is a link to the class syllabus that both you and your parents need to read over. A hard copy will also be given to you on the first day of class that will need to be signed by you and your parents. Remember to work on the pre-requisite packet if it is not already completed. You can download a hard copy off my blog site by going over to categories, pre-requisite packets.Look for and you will see Calculus.

Download file

Calculus Agenda Jan.8th - 11th

Welcome to Calculus and a great semester ahead!
Below you will see the agenda and daily assignments for the first week of class.

Essential Question: What concepts are needed for Calculus?

Tuesday - Inequalities and Interval Notation / Worksheet and work on pre-req packet
Wednesday - Absolute Value and Distance / Worksheet and work on pre-req packet
Thursday - Domain, Range, Symmetry / Worksheet and pre-req packet
Friday - Piecewise Functions / Worksheets and pre-req packet

Note: Classwork and homework will be collected weekly, (on Fridays) and graded for effort and completeness. A key component for success in calculus is to keep up with assignments. Start the year off right and do your work each day. You will be learning new and exciting concepts in calculus that need to be practiced regularly. Students may come in before or after school to get additional help on the pre-requisite packet if necessary. The pre-requisite packet is due the day of our first Unit test, Jan.18th.

December 14, 2007

Calculus Agenda Dec.17th - 21st

Essential Question: What do I need to know to be successful on the final?
What do I need to know to be prepared for my next math course?
Monday - Skinny Projects Due! Guest Speaker Day.
Tuesday - Review for Final / Packet
Wednesday - Review for Final (cont.)
Thursday - Final Exam 2nd Period

It was a pleasure teaching you. I wish you all the best over this holiday season and good luck next semester.
May your future be bright and full of happiness. Love, Ms.Blume

December 06, 2007

Shell Method as an alternative to Washer

shells.gif

December 05, 2007

Calculus Agenda Dec.10th - 14th

Essential Question: How can volumes of solids of revolution be computed?

Monday - Shell Method (cont.) / Worksheet
Tuesday - Review Day / Review Packet
Wednesday - Unit Test - Integration Applications/ Big Notebook Due
Thursday - Skinny Project Work
Friday - Skinny Project Work

December 04, 2007

Washer Method -Volumes of Solids of Revolution

washers.gif

December 01, 2007

Volumes of Solids of Revolution

solid4.gif

Calculus Agenda Dec.3rd - 7th

Essential Question: How do we find the volume of a solid of revolution?

Monday - Disk Method / Worksheet/ p.423 #1-4, 7-10, 11(A & C),12(B & D)
Tuesday - Disk Method (cont.)/ Worksheet/ p.423 #23,25,27,28
Wednesday - Washer Method/ Worksheet/ p.423 #5,6, 11(B&D),13A,12(A&C),14A
Thursday - Washer Method (cont.) / p.423 #15,20,21
Friday -Shell Method/ Worksheet/ p.432 # 1-4,5,7,10, #13-16

Calculus Agenda Dec.3rd - 7th

Essential Question: How do we find the volume of a solid of revolution?

Monday - Disk Method / Worksheet/ p.423 #1-4, 7-10, 11(A & C),12(B & D)
Tuesday - Disk Method (cont.)/ Worksheet/ p.423 #23,25,27,28
Wednesday - Washer Method/ Worksheet/ p.423 #5,6, 11(B&D),13A,12(A&C),14A
Thursday - Washer Method (cont.) / p.423 #15,20,21
Friday -Shell Method/ Worksheet/ p.432 # 1-4,5,7,10, #13-16

November 22, 2007

We can use integration to find the area between curves.

area between curves.gif

Calculus Agenda Nov.26th - 30th

Essential Question: How can I apply integration techniques?
Monday - Area Between 2 Curves / Worksheet/ p.413 # 1-8, 13-25 odd
Tuesday - Area of more than 1 region / p.413 # 20, 27,30, 31
Wednesday - Play-doh Lab / Lab write-up
Thursday - Volumes by Cross Sections / Worksheet
Friday - Food Day Lab / Lab Write-up

November 10, 2007

Directional "Slope" Fields

Slope fields show us the visual representation of the antiderivative.
stiff03.gif

Calculus Agenda Nov.12th - 23rd

Essential Question: What are Differential Equations?
Monday - Integration of Exponential Functions / Worksheet / p.346 #75-85 all,#88-90,p.356 #69-76 all
Tuesday - Directional "Slope" Fields / Worksheet
Wednesday - Differential Equations "Diffy Q's" / Worksheet / p.249-50 #45-54, #67
Thursday - Diffy Q's (cont.) / p.363 #1-4, p.374 #31-36, 38, 39-48
Friday - Review Day / Review Packet / Study for Integration Test

Monday - Unit Test on Integration
Tuesday - "Skinny" Project Assigned / Classtime devoted to project work
Wed.- Fri. - "Gobble Gobble" Happy Thanksgiving!

November 03, 2007

Numerical Integration using the Trapezoidal Rule

Trapezoidal Rule.gif

Calculus Agenda Nov.5th - 9th

Essential Question: What is Numerical Integration?

Monday & Tuesday - Student holidays / work on take home quiz
Wednesday - Average Value of a Function / Worksheet/ p.284 #47-57
Thursday - Trapezoidal Rule / Worksheet / p.304-05#1-5, 39-42,44
Friday - Integrating 1/x / Worksheet / p.327#1-13odd, 19-25, 33-36,61,63

October 26, 2007

We begin Integral Calculus...

Integrals.gif

Calculus Agenda Oct.29th - Nov.2nd

Essential Question: What is an Integral and the process of Integration?

Monday - Indefinite Integrals / Class worksheets / pp.248-49 #11-42
Tuesday - Riemann Sums / Worksheet
Wednesday - Definite Integrals / Worksheet / pp.271-73 #1-24(odd) 43,44
Thursday - FUNdamental Theorem of Calculus / Worksheet /p.283 #5-20,25-30,33-38
Friday - U Substitution / Worksheet / Take home quiz due on Wednesday Nov. 7th.

Have a great weekend!

October 19, 2007

Related Rates

ricardo10_22_03m2.gif

Calculus Agenda Oct.22nd - 26th

Monday - Related Rate Applications / Worksheet
Tuesday - Related Rates(cont.) Cone,Shadow,Trough Problems
Wednesday - Mixed Review / Worksheet
Thursday - Unit Test (partner part )
Friday - Unit Test cont. (individual part)

Notice that we are doing a two-part assessmennt (test).
Thursday, with a partner, you will choose 5 out of 7 problems covering optimization and related rates that count 10 points each.
Friday, you will individually work 10 problems that count 5 points each.
It is imperative that you are present everyday as each problem is unique to learn and takes time to teach!

October 13, 2007

Open -Top Box Problem

Open-Top Box Problem.png

The Box Project

The Box Project's aim is to maximize the volume of an open-top, rectangular box with given dimensions. You can download the specific directions here if you like. Directions, your dimensions and construction paper will be given out Tuesday in class. This project is due Friday, Oct.19th.
Download file

October 12, 2007

Calculus Agenda Oct.15th -19th

Monday - Mid-Term Exam / No Homework
Tuesday - Optimization(Max-Min) problems/ Worksheet/ Box Project Assigned
Wednesday - PSAT Testing / No Class / work on Box Project
Thursday - Max-Min (Economic)/ Worksheet / finish Box Project
Friday - Implicit Differentiation/ Worksheet/ p.12 0 #1-20 odd/ Box Project Due

October 06, 2007

Calculus Agenda Oct.8th - 12th

Monday - Second Derivative & Concavity / Worksheet & Selected Unit Plan problems
Tuesday - Groupwork on Curve Sketching / Worksheets
Wednesday - Quiz over Curve Sketching / Begin Mid-Term review packet
Thursday - L'Hopital's Rule / Worksheet / Continue Mid-Term review packet
Friday - Review for Mid-Term / Review Packet / Make Unit 2 & 3 Test Corrections

Note: Mid-Term Exam Monday, Oct.15th

September 29, 2007

Calculus Agenda Oct.1st - 5th

Monday - Exploring Particle Motion / Worksheet
Tuesday - Review Day / Worksheet / Study for Test
Wednesday - Unit 3 Test over Derivatives / no homework
Thursday - Introduction to Curve Sketching / 3 Worksheets
Friday - First Derivative and critical points/p.176 # 7-25 odd,43-47,49

September 21, 2007

Calculus Agenda Sept.24th - 28th

Monday - Derivatives of Trig Functions / worksheet / p.121 #5,6, 27-42 all
Tuesday - Mixed Practice / worksheet / p.130 #4-6,41-52, 63,64,71,74
Wednesday - Derivatives of Lnx / worksheet / p.319 #41-53, 59-62 all
Thursday - Derivatives of exponential functions / p.345#29-48,p.354#29-34,37-39,41
Friday - Derivative Applications / p.111#65,66,67,72, p.112#71,87,90 p.123 #87-90

September 13, 2007

Calculus Agenda Sept.17th - 21st

Monday - Product & Quotient Rule/ Class worksheet / p.121#1-3,7-22,51,52,73-76
Tuesday - Mixed Derivatives Worksheet
Wednesday - Chain Rule / Worksheet /p.130 #7-24 all
Thursday - Chain Rule(Day 2)Worksheet Mixed Derivatives /
p.131 #25-27,28-30,53,55,57,69,70
Friday - Quiz - Rules of Derivatives

Continue reading "Calculus Agenda Sept.17th - 21st" »

September 08, 2007

Calculus Agenda Sept.10th - 14th

Essential Question: What is the meaning of a derative?
Monday - Review of Limits & Continuity / Worksheet / Study for Test !!!
Tuesday - Unit 2 Test -Limits & Continuity
Wednesday - Derivatives by Definition / Worksheet
Thursday - Tangent Line to a Curve at a Point / Power Rule / Worksheet
Friday - Higher Order Derivatives / Worksheet / p.110 # 1-12, 17-28, 31-40
Remember homework is due Friday!

September 02, 2007

Introduction to Derivatives

derivative_and_curve.gif

September 01, 2007

Calculus Agenda Sept.4th - 7th

Essential Question: What does it mean for a function to be continuous?
Monday - Labor Day Holiday!
Tuesday - Continuity / Class Worksheets
p.76+77 #27-30, 36-42(even) 46, 55,65,75,79,80
Wednesday - Intermediate Value Theorem / Worksheet
Thursday - Vertical & Horizontal Asymptotes / p.84 #9-14, 17-21, 25-40
Friday - Infinite Limits / Worksheet / p.193 # 11-16, 23,24

Note: Students have an opportunity to retake the Unit 1Test on Pre-Calculus.
Test corrections must be made ahead of time.
Tuesday morning or Thursday afternoon are retest days in room 416.

August 18, 2007

Calculus Agenda August 20th-24th

We are entering the second week of pre-calculus topics necessary for Calculus.
Monday - Evaluating and graphing exponential and logarithmic functions / Worksheet
Tuesday - Exploring transformations and their effect on parent functions / Worksheet
Wednesday - Trigonometry (Unit Circle, Identities, Equations) / Worksheets
Thursday - Review Day / Worksheet / Finish for Homework and Study for Test!
Friday - Unit 1 Test over Pre-Calculus / No assignment

Note: The first two weeks are review topics students have been taught before, hence the fast pace. Most students have forgotten topics or have not had them in the depth we teach them at now. Students may feel a bit overwhelmed and rushed. That is a normal reaction! Next week we actually begin the study of Calculus. The pace will slow down and it will actually get easier! Hang in there!

Remember: Extra help is available if needed before and after school in 416.

August 11, 2007

Calculus Agenda August 13th - 17th

Welcome to Calculus! Below is the agenda and daily assignments for the first week of class. Start the school year off right and do homework daily. This will enable you to be more successful as you will need to practice the new and exciting concepts you will be learning. Homework will be collected and graded weekly.
Note: Remember to work on the pre-requisite packet if it is not already completed. You can download it off of my blog site. Go to categories, pre-req packets, and you will see Calculus.

Unit 1 - Pre-Calculus
Essential Question: What concepts are necessary for Calculus?
Monday - Inequalities and Interval Notation / Worksheet assigned
Tuesday - Absolute Value and Distance / 2 Worksheets assigned
Wednesday - Parent Functions / Domain, Range, Symmetry / Even and Odd / Worksheet Assigned
Thursday - Graphing Piecewise Functions / Worksheet (graphing calculator needed)
Friday - Composition of Functions / Inverse Functions / One-to One Functions / Worksheets

Note: By Friday August 13th all supplies should have been purchased and textbooks issued. Also, syllabus needs to be signed and turned in with the weeks' homework assignment.

May 19, 2007

Calculus Exam Schedule

Monday - 5th Period Exam (Seniors)
Tuesday - 2nd period Exam (Seniors)
Wed - juniors review for final
Thursday - 2nd Period (Juniors )
Friday - 5th Period (Juniors)

May 11, 2007

Calculus Assignments May 14th - 18th

Monday - Work on "Skinny" Project
Tuesday - Review Sheet on Area & Volumes of Solids
Wednesday - Unit Test / Big Notebook Check
Thursday - Skinny Projects Due / Guest Speaker Day
Friday - Review for Final Exam.

May 05, 2007

Calculus Assignments May 7th - 11th

Monday - FOOD LAB ! - Worksheet
Tuesday - Disk Method / p.423 #1-4, 7-10, 11 (a & c), 12 (b&d)
Wednesday - Disk Method (cont.) / p.423 #23, 25, 27, 28
Thursday - Washer Method / p.423 #5,6, 11(b&d), 12(a&c),13a,14a
Friday - Washer Method (cont.) / p.423 #15,20,21

April 28, 2007

Calculus Assignments April 30th - May 4th

Monday - Integration Unit Test / No Assignment
Tuesday - Area Between 2 Curves / p.413#1-8, 13-25 (odd)
Wednesday - Finding Area of 2 Regions / p.413 #20,27,30,31
Thursday - Play Doh Lab / Lab summarizing report
Friday - Volumes by Cross Sections / Worksheet

April 21, 2007

Calculus Assignments April 23rd -27th

Monday - Integrating Exponentials / p.346 #75-85, p.356 # 69-76 (all)
Tuesday - Slope Fields / Worksheet
Wednesday - Differential Equations / Worksheet / p.249-50 #45-54 #67
Thursday - Differentials (cont.) / p.363 #1-4, p.374 #31-36, 38, 39-48
Friday - Integration Review Sheet / Study for Test

Calculus Assignments April 23rd -27th

Monday - Integrating Exponentials / p.346 #75-85, p.356 # 69-76 (all)
Tuesday - Slope Fields / Worksheet
Wednesday - Differential Equations / Worksheet / p.249-50 #45-54 #67
Thursday - Differentials (cont.) / p.363 #1-4, p.374 #31-36, 38, 39-48
Friday - Integration Review Sheet / Study for Test

April 14, 2007

Calculus Assignments April 16th - 20th

Monday - U Substitution / Worksheet / p.296-97 #37-40,59,60,63,91,92
Tuesday - Integration Quiz / Finish Bookwork (p.296-7)
Wednesday - Average Value of a Function / Worksheet/ p.284 # 47-57 all
Thursday - Trapezoidal Rule / Worksheet / pp.304-05 #1-10(odd),39,40-44
Friday - Integrating 1/x / Worksheet / p.327#1-13(odd),19-25 (all),33-36 all, 61,63

April 08, 2007

Calculus Assignments April 9th - 13th

Monday - Indefinite Integration / Worksheet/ pp. 248-49 #11-42 all
Tuesday - Riemann Sums / Worksheet / p.261 #35-38
Wednesday - Definite Integrals / Worksheet / pp.271-73 #1-24 all,#43,44
Thursday - FUNdamental Theorem of Calculus / pp.283-84 #5-20,25-30,33-38
Friday - U Substitution / Worksheet / pp.296-97 #7-12,33,34,36,39, 55-58

March 24, 2007

Calculus Assignments March 26th-30th

Monday - Related Rates Group Work / Worksheet
Tuesday - Related Rates Review (cont.) / Worksheet
Wednesday - Related Rates Test (Partner Part)
Thursday - Related Rates Test (Individual Part)
Friday - "Skinny Project" - Classtime to work on project

March 18, 2007

Calculus Assignments March 19th -23rd

Monday - Business Applications using Derivatives / Worksheet
Tuesday - Implicit Differentiation / Worksheet / p.139 #1-20odd, #21-27 odd
Wednesday - Implicit (cont.) / Related Rates pp.146 #1-5, 8-10
Thursday - Related Rates Applications / Worksheet / p.147 #13, 16-19
Friday - Related Rates (cont.) / p.147 #20,21,22,25,2829,31-34
Box Project Due !

March 11, 2007

Calculus Assignments March 12th - 16th

Monday - L'Hopital's Rule / Worksheet / Correct Unit Test 1
Tuesday - Review Packet for Mid-Term / Correct Unit 2 Test
Wednesday - Review (cont.) / Correct Unit 3 Test
Thursday - Mid-Term Exam
Friday / Max-Min Problems (Worksheet )/ Box Project Assigned

March 04, 2007

Calculus Assignments March 5th - 9th

Monday - Introduction to Curve Sketching / 3 Worksheets
Tuesday - First Derivative Test / Worksheet / p.176 #7-25(odd) #43-47 (all)
Wednesday-2nd Derivative Test/ Worksheet/ p.184 #17-13 (odd),21-25,41-43,47-50
Thursday - Groupwork with Curve Sketching / Worksheet/ p.202 #7-17(odd),57-64(all)
Friday - Quiz on Curve Sketching / Assignment - Enjoy the Prom!