Period 3-AP Calculus

Tuesday 8/30
  1. Summer Assignment Due
  2. Review syllabus and classroom procedures
  3. Distribute textbooks  
  4. Homework: Review 'Before entering...' workhsheet!, return signed procedures sheet, cover book 
Wednesday 8/31
  1. Test on Tuesday!
  2. Review 'Before entering...' worksheet as class
  3. Graph matching worksheet in pairs
  4. Q&A
  5. Homework: Study for Test on Tuesday

Thursday 9/1

      1. Return Summer Assignment
      2. In groups compare and teach summer assignment
      3. Q & A/ Review for Test
      4. Homework: review for test

Tuesday 9/6

  1. Pre-Calculus Review Test Part 1
  2. Homework: None
Wednesday  9/7
  1. Pre-Calculus Review Test Part 2
  2. Homework: None
Thursday 9/8
  1. Begin Limits 2.1 Limits and Rates of Change
  2. Looking at Limits graphically and using a table.
  3. Informal Definition of a Limit (Intended Height) 
  4. Homework: Limits day 1 worksheet. 
Friday 9/9
  1. Continue with Limits
  2. Finding limits by direct substitution
  3. Finding one-sided limits
  4. Notes and Practice Problems
  5. Homework: Limits day 2 worksheet

Monday 9/12

   1. Review Homework assignments
   2. Begin 2.2 Limits Involving Infinity
   3. Horizontal Asymptotes
   4. Notes and Practice Problems (see notes here)
   5. Homework: none

Tuesday 9/13

   1. Finish 2.2 Limits Involving Infinity (see notes here)
   2. Highest Power Rule
   3. Vertical Asymptotes
   4. Infinite Limits
   5. Homework: 2.2 Worksheet + book problems

Wednesday 9/14

   1. No Class ~ 4sight testing
   2. Homework: none

Thursday 9/15

1. Review homework from Tuesday
2. Summary of Limits (see notes here)
3. Homework: 2 Limits worksheets (one will be collected!)

Friday 9/16

1. "We Belong Together" Limits Lab
2. Students work in groups to match functions with their limits and other descriptors.
2. Homework: study for quiz on Monday

Monday 9/19

1. Quiz on Limis
2. Begin notes on 2.3 Continuity (see notes here)
3. Definition of and types of discontinuity
4. Homework: none

Tuesday 9/20

1. Finish notes on Continuity (see notes here)
2. Finding k to make f(x) continuous
3. Intermediate Value Theorem
4. Homework: 2 continuity worksheets

Wednesday 9/21

1. Continuity Practice
2. In groups, work on 2.3 worksheet
3. Homework: finish worksheet

Thursday 9/22

1. Begin 2.4 Rates of Change and Tangent Lines
2. Average rate of change and Instantaneous rate of change
3. Limit Definition of the Derivative at a specific x-value (see notes here)
4. Homework: None

Friday 9/23

1. Finish 2.4 Rates of Change and Tangent Lines (see notes here)
2. Limit Definition of the Derivative as a formula
3. Using a graphing calc to find deriv at a point
4. Writing the equation of tangent and normal lines
5. Homework: 2.4 worksheet + book problems

Monday 9/26

1. Review Homework
2. Begin review for Limits/Continuity/Def of Deriv Test

Tuesday 9/27

1. Review for Ch.2 Test
2. Homework: Study

Wednesday 9/28

1. Review for Ch.2 Test
2. Homework: study

Thursday 9/29

1. Ch.2 Test Limits and Difference Quotient
2. Homework: none

Friday 9/30

1. Derivatives from Graphs and Tables (see notes here)
2. Estimating a derivative given a table
3. Estimating a derivative given a graph
4. Graphing a derivative given a graph of the function
5. Homework: Estimating Derivatives worksheet

Monday 10/3

1. Finish Derivatives from Graphs and Tables (see notes here)
2. Graphing Derivatives
3. Homework: Worksheet Graphing Derivatives

Tuesday 10/4

1. Differentiability (see notes here)
2. When functions do not have derivatives
3. Corners, Cusps, Points of Discontinuities, Vertical Tangents
4. Differentiability Implies Continuity
5. Homework: p111#1-12, 21, 29

Wednesday 10/5

1. Review Homework
2. Exploration 1 page 98
3. Students work in groups to complete the exploration
4. Homework: work on exploration...to be finished tomorrow in class

Thursday 10/6

1. Quiz: Estimating Derivatives and Differentiability
2. Finish Exploration 1 page 98 in groups. Collected
3. Homework: none

Friday 10/7

1. Begin Derivative Rules "The Shortcuts" (see notes here)
2. Constant, Power, Sum and Difference rules
3. Rational and negative exponents
4. Higher Order Derivatives
5. Homework: Begin Practice Packet (Due Wednesday)

Tuesday 10/11

1. Finish Derivative Rules "The Shortcuts"
2. Product and Quotient Rules
3. Product and Quotient Rule Theory Practice
4. Homework: Work on Deriv Practice Packet

Wednesday 10/12

1. Review Homework and Exploration p.98
2. Begin 3.3 worksheet
3. Homework: none

Thursday 10/13

1. Review worksheet 3.3/Students work in groups
2. Homework: Derivatives Practice worksheet (1-20)

Friday 10/14

1. Begin Chain Rule
2. Notes and Examples on the SMART board
3. Homework: Chain Rule worksheet

Monday 10/17

1. Review Homework
2. Students work in pairs comparing hw and working on theory practice worksheet
3. Homework: none

Tuesday 10/18

1. Review Derivative Rules (Power, Product, Quotient, Chain)
2. Row Races for extra credit
3. Homework: study for quiz

Wednesday 10/19

1. Quiz: Power, Product, Quotient, Chain Rules
2. Homework: none

Thursday 10/20

1. Begin Lesson on Derivatives of Trigonometric Functions (see notes here)
2. Derivatives and Proofs of 6 trig functions
3. Practice Problems
4. Homework: worksheet (odd #'s only)

Friday 10/21

1. Review Quiz
2. Review Homework
3. Students work in pairs on the even problems from the worksheet
4. Homework: Finish evens on trig derivatives worksheet

Monday 10/24

1. Begin Lesson on Implicit Differentiation
2. Notes and Examples on the SMARTboard (see notes here)
3. How to find derivatives when you can't solve for y
4. Practice Problems
5. Homework: Implicit Diff worksheet

Tuesday 10/25

1. Continue with Implicit Differentiation
2. Finish examples in packet (see notes here)
3. Finding where there are horizontal and vertical tangent lines
4. 2004 Free Response Problem
5. Homework: Implicit Diff Worksheet 2

Wednesday 10/26

1. Review Homework Problems
2. Students at the board
3. Homework: p. 155 #5, 7,  9, 15, 17, 19, 21, 26, 28, 35, 41

Thursday 10/27

1. Derivatives of Inverse Functions (see notes here)
2. Notes and Examples on the SMARTboard
3. Review of Inverse Functions and how to find derivatives
4. Homework: Worksheets

Friday 10/28

1. Derivatives of Inverse Trig Functions (see notes here)
2. Deriv of sin, cos, and tan inverse functions..memorize!
3. Notes and Examples on SMARTboard
4. Homework: Finish examples in notes packet

Tuesday 11/1

1. Review last examples in notes
2. Classwork: p. 162 #1-4, 10, 18, 23
3. Homework: none

Wednesday 11/2

1. Review Implicit, Trig, Inverse, and Inverse Trig Derivatives.
2. Review Packet #1
3. Students at the board
4. Homework: Begin Review Packet #2

Thursday 11/3

1. Continue with Review Packet #2
2. Review for Quiz
3. Homework: Study for Quiz tomorrow (Implicit, Trig, Inverse, and Inverse Trig Functions)

Friday 11/4

1. Quiz: (Implicit, Trig, Inverse, and Inverse Trig Functions)
2. Homework: Free Response Problem

Monday 11/7

1. Derivative of ex
2. Notes and Examples on the SMARTboard (see notes here)
3. Derivatives with Chain Rule and word problem 
4. Finish Flu Population Problem
4. Homework: none

Tuesday 11/8

1. Derivative of ax (see notes here)
2. Derivative of ln(x)
3. Notes and examples on SMARTboard
4. Homework: p. 170 #1-18, 20-40 evens, 42, 47, 48a

Wednesday 11/9

1. Review Quiz
2. Review Homework
3. Homework: Packet

Thursday 11/10

1. Review answers to hw (see work here)
2. Students at the board
3. Homework: none

Friday 11/11

1. No class ~ Veteran's Day
2. Homework: none

Monday 11/14

1. Begin Lesson on Velocity and Rates of Change (see notes here)
2. Position, Velocity, and Acceleration
3. Notes and Examples on the SMARTboard
4. Homework: none

Tuesday 11/15

1. Finish notes packet on Velocity and Rates of Change (see notes here)
2. AP 1998 free response problem
3. Interpreting a graph
4. Homework: back of classwork worksheet and p. 129 #2, 4, 6, 8, 24, 30, 34

Wednesday 11/16

1. Review hw.
2. Addtion to notes. Using sign charts
3. Example to add to velocity notes
4. Example 1 from packet
5. Homework: Finish examples 2 and 3 in packet

Thursday 11/17

1. Review Examples 1 and 2 from packet
2. Handback collected hw
3. Modeling Particle motion
4. Using graphing calc to view particle motion
5. Homework: worksheet~describe particle motion (only #1)

Friday 11/18

1. No Class

Monday 11/21

1. Review Homework
2. Interpreting Motion from a Graph
3. 2002 and 2003 Free Response Questions
4. Homework: Begin Ch3 Review in Book

Tuesday 11/22

1. Finish 2002 Free Response Question
2. Students in groups work on Ch3 Review from book
3. Homework: Work on Derivatives review packet

Wednesday 11/23

1. Go Fish for Derivatives
2. Homework: Finish Deriv Review packet

Tuesday 11/29

1. Q & A Derivatives Review
2. Homework: Study for Test

Wednesday 11/30

1. Test: Derivatives
2. Homework: none

Thursday 12/1

1. Begin Lesson on Extreme Values (see notes here)
2. Absolute and Local Extrema
3. Extreme Value Theorem
4. Candidates for abs max and min
4. Homework: p.184 1-13all (find the abs max/min or the x-values where they occur)

Friday 12/2

1. Continue notes from Thursday (see notes here)
2. Finding local or global extrema on open intervals 
4. Homework: p. 184 #19-29 odds, #37-43 odds, #45-48

Monday 12/5

1. Lesson on Rolle's Theorem and Mean Value Theorem (see notes here)
2. Notes and Examples on the SMARTboard
3. How to use the two theorems: check the requirements, find c
4. Homework: none

Tuesday 12/6

1. Continue with lesson on Rolle's Thm and MVT (see notes here)
2. Rolle's Thm
3. Checking the hypothesis of Rolle's and MVT
4. Homework: Rolles and MVT worksheet

Wednesday 12/7

1. Begin Lesson on Curve Sketching (see notes here)
2. Increasing/Decreasing, local max/min
3. concave up/concave down, points of inflection
4. Homework: p. 192 1-13 odd

Thursday  12/8

1. Continue Lesson on Curve Sketching (see notes here)
2. Sketching a graph with given characteristics
3. Homework: Finish last two examples in notes + graph worksheet

Friday 12/9

1. Finish up Curve Sketching
2. Getting information from the graph
3. Sketching graphs
4. Homework: curve sketching worksheet

Monday 12/12

1. Putting it all together...curve sketching
2. Looking at domain, range, asymptotes, symmetry, etc.
3. Looking at first and second deriv for behavior of f. 
4. Example 1 in notes
5. Homework: Finish example 2 in notes

Tuesday 12/13

1. Review hw
2. Inc/Dec functions w.s. problems 3 and 4
3. FRQ practice
4. Homework: p.203 #1-4, 8, 10, 12, 30, 33, 37, 41, 47

Wednesday 12/14

1. Review Homework
2. Topics for Quiz tomorrow
3. FRQ practice
4. Homework: study for quiz tomorrow on curve sketching, EVT, rolle's and mean value theorem

Thursday 12/15

1. Quiz: curve sketching, EVT, rolle's and mean value theorem
2. Homework: none

Friday 12/16

1. 10 minutes to finish quiz
2. Begin Optimization
3. Steps
4. Examples 1 and 2
5. Homework: Example 3 in notes

Monday 12/19

1. Continue with Optimization Examples in notes
2. Homework: Set up examples in notes=

Tuesday 12/20

1.  Finish Optimization Examples
2. Homework: Optimization Handout #1-8


Wednesday 12/21

1.  Students work in groups on optimization handout #1-8
2. Homework:none


Thursday 12/22

1.  Students work in groups on graded optimization problems
2. Homework:none

Friday 12/23

1. Reteaching 5 topics
2. Particle Motion, EVT, MVT and Rolle's, Curve Sketching, Optimization
3. Notes on the board
4. Homework: Problem sets 1 - 5


Happy Holidays!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Tuesday 1/3

1. Homework Quiz on problem sets 1-5
2. Begin Lesson on Linearization
3. Homework: none

Wednesday 1/4

1. Continue with Linearization, Using the Tangent Line to Approximate Values
2. Notes/Examples on the SMARTboard 
3. Homework: Linearization worksheet

Thursday 1/5

1. Begin Related Rates with Implicit differentiation review
2. Notes/Examples on the SMARTboard
3. Steps for succes with related rates
4. Homework: Problem 2, 3, 4 in packet

Friday 1/6
 
1. Continue with Related Rated
2. Work on problems in packet
3. Homework: Finish all related rates problems in packet

Monday 1/9

1. Review answers to homework
2. Begin AP Free Response Related Rates problems
3. Homework: Multiple Choice related rates worksheet

Tuesday 1/10

1. Finish AP Free Response Packet
2. Review Multiple Choice problems
3. Homework: Finish Free Response packet and check answers on-line. Write down which answers you got correct and which you got incorrect. Begin Chapter 4 Review

Wednesday 1/11

1. Review for Applications of Derivatives test
2. Students in pairs work on Chapter 4 review problems
3. p. 242 # 1-8, 12, 17, 18, 32, 34, 37(a,b). 46, 52, 58, 62
4. Homework: Study for Test

Thursday 1/12

1. Test: Applications of Derivative Part 1
2. Homework: study for test

Friday 1/13

1. Test: Applications of Derivatives Part 2
2. Homework: Study for Midterm

Tuesday 1/17

1. Midterm Review
2. Homework: study for Midterm

Wednesday 1/18-1/20

1. Midterms

Monday 1/23

1. Hand back and go over test Midterm
2. Homework: Exploration 1

Tuesday 1/24

1. Review Homework
2. Begin Lesson on Integration
3. Estimating the area under a curve using rectangles
4. RRAM, LRAM, MRAM
5. Notes and Examples on the SMARTboard (see notes here)
6. Homework: 2 worksheets: Integration: Rectangular Approximation # 1, 2 AND Velocity vs. Time packet  #1 - 3.

Wednesday 1/25

1. Review Homework
2. Conitnue with RAM
3. Students in groups works on velocity vs. time packet
4. Homework: Finish packet

Thursday 1/26

1. Begin Lesson on Trap Approximation
2. Notes and Examples on the board
3. 3 methods for trap approximation and formula
4. Homework: 5 AP Multiple Choice Problems

Friday 1/27

1. Begin Lesson on Calculating Area using Geometry
2. Examples on the SMARTboard
3. Homework: Finish worksheet + book work p. 267 13, 16, 17, 19, 20

Monday 1/30

1. Review Homework
2. Begin Lesson on Calculating Area Using Graphing Calculator
3. Examples on the SMARTboard
4. fnInt and 2nd Calc
5. Homework: p261 #39-42all  p.274 #18-20all

Tuesday 1/31

1. Begin Lesson on Properties of Integrals
2. Notes and Examples on the SMARTboard
3. Practice Worksheet combine finding area with properties
4. Homework: p. 274 Quick Review #1-10 all, Exercises #2, 3, 7-10

Wednesday 2/1

1. Begin Lesson on Anti-Derivatives see notes here
2. Notes and Examples on the SMARTboard  View Lesson Here!!!
3. Definition of Indefinite Integral
4. General Cases
5. Homework: Worksheet 1-29 odds

Thursday 2/2

1. Continue with anti-derivatives
2. Students in pairs compare answers and work on 2-30 evens
3. Homework: None

Friday 2/3

1. Begin Lesson on anti-derivatives with u-substitution.
2. Notes and Examples on the SMARTboard
3. View Lesson Here!!!
4. Homework: U-Sub worksheet 1, 3, 4, 9, 10

Monday 2/6

1. Review Homework problems
2. Q&A
3. Homework: U-Sub worksheet #2, 6, 7, 12-26 even

Tuesday 2/7

1. Review Homework Problems
2. More In-Class examples (special cases)
3. Students at the board
4. Homework: U-Sub worksheet #11-27 odd, 31, 35

Wednesday 2/8

1. Review homework
2. p. 321 # 2-30 evens
3. Homework: Begin review packet

Thursday 2/9

1. Work on Review for Quiz tomorrow
2. Homework: STUDY!!

Friday 2/10

1. Quiz on Area (RAM, Traps, Geometry, Calc, Anti-Derivatives with u-sub)
2. Homework: none

Monday 2/13

1. Hand back quizzes
2. Begin Lesson on the Fundamental Theorem of Calculus part 1
3. Notes and Examples on the SMARTboard (view notes here)
4. View Lesson Here!!!
5. Homework: FTC worksheet

Tuesday 2/14

1. Begin Lesson on Average Value of a Function
2. Notes and Examples on the SMARTboard (view notes here)
3. View Lesson Here!!!
4. Mean Value Theorem for Integrals
5. Homework: Average Value worksheet

Wednesday 2/15

1. Begin lesson on Accumulation Functions
2. Notes and Examples on the SMARTboard (view notes here)
3. View Lesson Here!!!
4. Homework: Accumulation Function worksheet

Thursday 2/16

1. Begin Lesson on FTC II
2.The derivative of the Accumulation function is f(t)
3. Notes and examples on the SMARTboard (view notes here)
4. View Lesson Here!!!
5. Homework: p. 287 37-42 all, 54

Friday 2/17

1.Independent Practice on FTC II and Accumulation Functions
2. Students work independently or in groups on worksheets
3. Homework: 4 worksheets

Tuesday 2/21

1. Review answers to 4 worksheets
2. Answer keys we did not get to....Key 1     Key 2     Key 3
3. Homework: FRQ Packets due Thursday: ONLY THE FIRST 3 PROBLEMS IN EACH PACKET!!!! (Unless you are a superstar)

Wednesday 2/22

1. No Class
2. Homework: work on FRQ packets: ONLY THE FIRST 3 PROBLEMS IN EACH PACKET!!!! (Unless you are a superstar)

Thursday 2/23

1. Collect FRQ packets
2. Students work on review packet for test
3. Answer Key: page 1, page 2, page 3, page 4
4. Homework: Work on Review Packet

Friday 2/24

1. Answer Questions on Review Packet
2. Swap FRQ and Grade
3. Homework: study for test Monday

Monday 2/27

1. Area and Antiderivatives Test
2. Homework: Think of a t-shirt idea

Tuesday 2/28

1. Begin Lesson on Area Between Curves
2. Notes and Examples on the SMARTboard
3.View Lesson Here!!! 
4. Homework: Begin worksheet to be finished in class tomorrow

Wednesday 2/29

1. Sub Plans
2. Work on and turn in area between curves worksheet
3. Homework: none

Thursday 3/1

1. Continue with lesson on Area Between Curves
2. Notes and Examples on the SMARTboard
3. View Lesson Here!!!
4. Homework: p. 380 1-9 odd, 13, 17, 33

Friday 3/2

1. Review Homework
2. Begin lesson on Volumes of Solids with known cross-sections
3. See notes here!!
4. Notes and Examples on the SMARTboard
5. View Lesson Here!!!  
6. Homework: None

Monday 3/5

1. Continue with Volumes of Solids with known cross-sections
2. See notes here!!
3. Notes and Examples on the SMARTboard
4. Homework: Finish the last two examples in notes packet See solutions here!!

Tuesday 3/6

1. Begin Lesson on Volumes of Solids of Rotations
2. Disc Method See notes here!!
3. Notes and Examples on the SMARTboard
4. View Lesson Here!!!
5. Homework: p. 390 1a, 2a, 5, 8a, 18, 19

Wednesday 3/7

1. Begin Lesson on Volumes of Solids of Rotations II
2. Washer Method See notes here!!
3. Notes and Examples on the SMARTboard
4. View Lesson Here!!!
5. Homework: none

Thursday 3/8

1. Review hw problems
2. Finish Volumes of Solids Washer Method See notes here!!!
3. Homework: p392, 21-24 and 35, 37

Friday 3/9

1. FRQ 2009 and 2011
2. Students begin work on 3 volume FRQ
3. Homework: work on FRQ

Monday 3/12

1. Students work on Volume mult choice questions
2. Homework: Finish 3 FRQ and mult choice questions **Note: Omit # 2, 3, 5, 10***

Tuesday 3/13

1. Go over 3 FRQ and mult choice problems
2. Homework: study for quiz tomorrow

Wednesday 3/14

1. Quiz: Area and Volume
2. Homework: none

Thursday 3/15

1. Begin Lesson on the Integral as a net change
2. Notes and Examples on the SMART board
3. Position, Velocity, Acceleration revisited
4. View Lesson Here!!!
5. Displacement and Total Distance Traveled
6. Homework: Integration of Rates worksheet

Friday 3/16

1. Finish Lesson on the Integral as a net change
2. Review Homework worksheet
3. Homework: none

Monday 3/19

1. Students work on Rocket and Mouse worksheet
2. Homework: Finish worksheet (collected)

Tuesday 3/20

1. No Class
2. Homework: none

Wednesday 3/21

1. Begin Lesson on Initial Value Integrals (Differential Equations)
2. Notes and Examples on the SMART board
3. View Lesson Here!!!
4. Solving Differential Equations
5. Homework: p. 312   7-13, 17, 27-35 odd

Thursday 3/22

1. Begin Lesson on Position, Velocity and Initial Values
2. Notes and Examples on the SMART board
3. View Lesson Here!!!
4. Homework: p. 313 39-42 all, 55

Friday 3/23

1. Review Area and Volume Quiz
2. Review Homework
3. Homework: Anti-Derivatives worksheet page 1, page 2

Monday 3/26

1. Lesson on Tougher Differential Equations
2. Separating the Variables
3. View Lesson Here!!!
4. Homework: p. 322 39, 43   p.349 28-30

Tuesday 3/27

1. Begin Lesson on Exponential Growth and Decay 
2. Notes and Examples on the SMART board
3. View Lesson Here!!!
4. Homework: p. 338 1, 3, 11a, 12, 13, 15

Wednesday 3/28

1. Continue lesson on Exponential Growth and Decay 
2. AP FRQ on Exponential Growth and Decay
3. View Lesson Here!!!
4. Homework: 4 problems in packet

Thursday 3/29

1. Review 4 frq in packet
2. Begin diff eq mult choice and frq practice
3. Homework: work on 3 packets ***NOTE: in area and volume packet, omit #6, 8, and 11*****

Friday 3/30

1. Students continue to work on 3 packets
2. Homework: Over spring break, finish 3 packets ***NOTE: in area and volume packet, omit #6, 8, and 11*****

Tuesday 4/10

1. Begin Lesson on Slope Fields 
2. Notes and Examples on the SMART board
3. Objectives 1 and 2: How to sketch a slope field and a solution
4.View Lesson Here!!!
5. Homework: slope field worksheet 7-12

Wednesday 4/11

1. Continue Lesson on Slope Fields 
2. Notes and Examples on the SMART board
3. Objectives 3 and 4: matching slope fields with dy/dx and solutions.
4. View Lesson Here!!!
5. Homework: slope field worksheets (multiple choice and free response)

Thursday 4/12

1. Review Homework on Slope Fields
2. How to answer free response questions on slope fields
3. Continue with  review packet
4. Homework: none

Friday 4/13

1. Review Applications of Integration
2. Homework: Study for Test (Review Packet Answer Keys: page 1, page 2, page 3, page 4)

Monday 4/16

1. Test: Applications of Integration
2. Homework: None

Tuesday 4/17 - 5/8

AP Calc Review and Mock Testing