Section 5.5 The Intermediate Value Theorem Rolle’s Theorem The Mean Value Theorem 3.6.
Buford High School CURRICULUM CALENDAR 2016...
Transcript of Buford High School CURRICULUM CALENDAR 2016...
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
1
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 1 Thursday, 8/4 Rules, Syllabus, Books and Introductions Take up Summer Assignment Include factoring quadratics in next year’s summer assignment. Students are very weak in this area.
Friday, 8/5 Pre-Calculus Review function characteristics; Limit Existence Theorem
Warm up: List the 18 parent functions Lesson: Review of the 18 parent functions, students will graph each and discuss end behavior, domain, range, continuity and asymptotes Discussion of limits; Limit Existence Theorem HW: List characteristics of 18 functions Spend more time reviewing function characteristics. Might should include quiz and/or test over concepts.
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
2
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 2
Monday, 8/8 18 Parent functions; 2.1 - Limits
Recognize the 18 parent functions and their characteristics; limits
Warm up: Check homework solutions Lesson: Review of the 18 parent functions, Discussion of limits; Limit Existence Theorem; finding limits as x approaches a specific real number value. HW: Graphical approach to limits worksheet #1-18
EK1.1A1,EK1.1A2,EK1.1B1
Tuesday, 8/9 2.1 –Limits Finding limits graphically; properties of limits
Warm up: Do the limits exist at x=a? #1-9 Lesson: Finding limits graphically and algebraically. Determining which method to use to find limit algebraically. HW: Finish algebraic limits worksheet
EK1.1C1,EK1.1C2
Wednesday, 8/10 2.2 – Limits at a point and involving infinity
Finding limits algebraically
Warm up: Check solutions to homework on board Lesson: Finish finding limits algebraically Worksheet #1-46 HW: Algebraic approach to limits worksheet
EK1.1C1,EK1.1C2
Thursday, 8/11 2.2 – Limits involving infinity
Finding limits numerically
Warm up: List rules for finding limits at a point. Evaluate given limits. Lesson: Continuing to find limits numerically: Piecewise functions and end behavior. HW: study for quiz
EK1.1C2
Friday, 8/12 2.2 – Limits involving infinity
Understanding vertical and horizontal asymptotes, end behavior Properties of limits
Warm up: define vertical asymptote, horizontal asymptote, end behavior, give example graphs of each, how many vertical and/or horizontal asymptotes can a graph have? Lesson: Quiz over limits – graphically and algebraically One-sided limits worksheet HW: finish worksheet
EK1.1A2
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
3
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 3 Monday, 8/15 2.3 – Continuity and discontinuity
Build a better understanding of the continuity of a function.
Warm up: List steps for finding limits at a point, at infinity. Lesson: Review one-sided limits; Continuity – Bridge activity. Discovering the properties of continuous functions; identifying discontinuous functions graphically and algebraically; finding the points of continuity and discontinuity HW: Continuity worksheet
EK1.1A2,EK1.1A3,EK1.2A1,EK1.2A2,EK1.2A3
Tuesday, 8/16 2.3 – Continuity and discontinuity
Continuity at a point; continuous functions; Types of discontinuities
Warm up: Multiple choice worksheet #313-318 Lesson: Discovering the Sandwich Theorem through examples. HW: finish multiple choice worksheet
EK1.1C2
Wednesday, 8/17 2.1-2.3: Limits, Continuity and discontinuity
Review for test Warm up: PB p17 limits graphically Lesson: Review limits – graphically and algebraically, continuity HW: study for test
EK1.1A1,EK1.1A2,EK1.1A3,EK1.1B1,EK1.1C1,EK1.1C2,EK1.1D1,EK1.1D2,EK1.2A1,EK1.2A2,EK1.2A3
Thursday, 8/18 Limits and Continuity TEST 1 – Limits, continuity
Overall, this unit went well. Weaknesses were recognizing function characteristics from equations and basic algebra skills such as factoring.
EK1.1A1,EK1.1A2,EK1.1A3,EK1.1B1,EK1.1C1,EK1.1C2,EK1.1D1,EK1.1D2,EK1.2A1,EK1.2A2,EK1.2A3
Friday, 8/19 2.4 – Rates of change and tangent lines
Understand slope is a rate of change and how it applies to graphs of functions; Average rate of change; tangent, slope; learning derivative notation
Warm up: Find the equation of the line between two points. What is a slope? Lesson: Discuss average rate of change as slope of a function; compare average rate of change and instantaneous rate of change of a function; definition of secant line, tangent line and derivative. Finding the derivative of functions using the definition of the derivative worksheet HW – finish worksheet
EK2.1A1,EK2.1A2,EK2.1A3,EK2.1A4,EK2.1A5,EK2.3B1,EK2.3B2
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
4
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 4
Monday, 8/22 2.4 – Rates of change and tangent lines
Continue practice with definition of the derivative
Warm up: Speed problem with graph HW: Definition of the derivative worksheet Lesson: continue practice with definition of the derivative HW: finish worksheet
EK2.1A1,EK2.1A2,EK2.1A3,EK2.1A4,EK2.1A5
Tuesday, 8/23 3.1 – Derivative of a function
Techniques of finding derivatives
Warm up: Find derivative of given function Lesson: Techniques of differentiation: power, sum, product, quotient rules; equation of tangent and normal HW: finish worksheet
EK2.1C1,EK2.1C2,EK2.1C3
Wednesday, 8/24 3.1 – Derivative of a function
Chain rule – finding the derivative of a composite function
Warm up: Find the equation of the tangent line of the given function and point (discuss equation of the normal) Lesson: Review techniques of differentiation; chain rule HW: finish worksheet
EK2.1C1,EK2.1C2,EK2.1C3,EK2.1C4
Thursday, 8/25 3.2 – Differentiability
Continue practicing techniques of finding derivatives; using derivatives to find equation of tangent
Warm up: Use all techniques to find derivatives of given functions Lesson: Continue practice finding derivatives, equations of tangent lines, horizontal tangents; non-differentiability HW: study for quiz
EK2.1B1,EK2.1B2,
Friday, 8/26 3.2 – Differentiability
Quiz over definition of derivatives, techniques, equation of tangent and normal; Using tables to find derivatives
Warm up: Get ready for quiz Lesson: QUIZ; finding derivatives using tables HW: finish worksheet
EK2.1B1
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
5
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 5 Monday, 8/29 3.3 – Rules for differentiation – tables Continuity and Differentiability
Using tables of derivative values to find derivatives of composite functions Understand when functions are differentiable
Warm up: use definition of derivative to find derivative of given function Lesson: Review HW – finding derivatives from tables; continue discussing differentiability of functions HW: AP type Multiple choice problems AP Calculus Problem Book p. 42 and 45
EK2.1B1
Tuesday, 8/30 3.3 – Non-differentiable functions
Understand when functions are differentiable; what local linearity means; importance of the horizontal tangent; Continuity and differentiability
Warm up: find the instantaneous rate of change of the given functions Lesson: How might a derivative fail to exist? List reasons and/or give examples Functions that are not differentiable; local linearity; horizontal and vertical tangents; more definition of derivative practice MMM p. 70 HW: p124 #23,25,29-32
EK2.1C1,EK2.1C2,EK2.1C3,EK2.1C4
Wednesday, 8/31 3.3 – Rules for differentiation 3.6 – Chain Rule
Finding derivatives practice
Warm up: Lesson: Review HW; review for test HW: study for test
Thursday, 9/1 TEST 2 – Rates of change, derivatives Biggest area of weakness is algebra skills.
EK2.1A1,EK2.1A2,EK2.1A3,EK2.1A4,EK2.1A5, EK2.1B1, EK2.1C1,EK2.1C2,EK2.1C3,EK2.1C4
Friday, 9/2 Early Release (1
st, 2
nd, 3
rd, 5
th)
No class
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
6
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 6
Monday, 9/5 LABOR DAY HOLIDAY
Tuesday, 9/6 3.2 – Differentiability and function analysis
Understanding the Intermediate Value Theorem, Extreme Value Theorem and Mean Value Theorem
System Vertical Team Meeting Benchmark Review, finding intervals of increase/decrease and min/max from graphs. Warm up: find the min/max of an equation Lesson: Finding extreme values of functions; Extreme value theorem, Intermediate value theorem, Mean Value Theorem; AP type questions over theorems – this will be moved to later date HW: finish worksheet
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3
Wednesday, 9/7 Essay – English
3.2 – Differentiability and function analysis
Understand the critical points of a function may or may not be local min/max
Warm up: Find the values of the derivative given the position function Lesson: Review notation of derivatives; find horizontal tangents graphically and algebraically; find inc/dec of functions graphically and algebraically; sign charts; absolute min/max of a function HW: finish worksheet
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3
Thursday, 9/8 3.4 – Finding the function from the derivative
To be able to find a function from the derivative
Warm up: create a graph of a derivative and have another student draw the original function from it Class: Review of graphing worksheet 5 Steps to a 5: p. 219 #7-13, 20, 23, 25 Continue working with min/max and inc/dec, horizontal tangents and non-differentiability HW: finish worksheet
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3
Friday, 9/9 Benchmark #1 – Electives
3.4 – Finding the function from the derivative
Comparing f, f’, f” Warm up: Matching Game: Derivatives and tangent lines Lesson: More practice comparing graphs of f, f’, f” worksheet HW: finish worksheet
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, SEPTEMBER 7.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
7
*NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, SEPTEMBER 8 – FRIDAY, SEPTEMBER 16 (INCLUSIVE).*
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 7
Monday, 9/12 Benchmark #1 – Social Studies
3.2 – Differentiability and function analysis
Understanding the second derivative test
Warm up: find the first and second derivatives of the given function and graph all three functions Lesson: compare min/max of the three graphs; discover concavity of functions HW: finish given problems
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Tuesday, 9/13 Benchmark #1 – Science
3.2 – Differentiability and function analysis
Using the second derivative to determine concavity of a functions
Warm up: Problem book p. 54 #650 Lesson: More practice finding derivatives of equations, tables, comparing graphs Particle motion functions and graphs HW: finish worksheet
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Wednesday, 9/14 3.2 – Differentiability and function analysis
Comparing f, f’, and f” graphically and algebraically
Warm up: 3 review questions Lesson: Review Unit 2.4, 3.1,2,3: p97 #43-45, p181-182 #1,2,4,7,33,35-38 Review of function sketching including horizontal tangents, nondifferentiability, min/max, inc/dec, concavity and particle motion graphs
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Thursday, 9/15 Benchmark #1 – English
Review Review limits, continuity, asymptotes, differentiability, rates of change
Warm up: rate of change problem Lesson: review worksheet HW: study for benchmark
Friday, 9/16 Benchmark #1 – Math
Benchmark #1 EK1.1A1,EK1.1A2,EK1.1A3,EK1.1B1,EK1.1C1,EK1.1C2,EK1.1D1,EK1.1D2,EK1.2A1,EK1.2A2,EK1.2A3,EK2.1A1,EK2.1A2,EK2.1A3,EK2.1A4,EK2.1A5, EK2.1B1,EK2.1C1,EK2.1C2,EK2.1C3,EK2.1C4
*NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, SEPTEMBER 8 – FRIDAY, SEPTEMBER 16 (INCLUSIVE).*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
8
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 8
Monday, 9/19 3.4 – Velocity and other rates of change
Instantaneous rate of change, motion along a line, speed, acceleration, free-fall constants
Warm up: p137 #18 Lesson: Review HW; practice problems p137 #19-25 HW: finish practice problems
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Tuesday, 9/20 3.4 – Velocity and other rates of change
Instantaneous rate of change, motion along a line, speed, acceleration, free-fall constants
Warm up: p137 #18 Lesson: Review HW; continue determining position, velocity and speed HW: finish practice problems
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Wednesday, 9/21 3.4 – Velocity and other rates of change
Instantaneous rate of change, motion along a line, speed, acceleration, free-fall constants
Warm up: Determine if the given graph of a function is differentiable at each labeled point – justify conclusions Lesson: Review HW; find distance and displacement HW: finish given problems
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Thursday, 9/22 3.4 – Velocity and other rates of change
Function analysis and particle motion
Warm up: rate of change problem Lesson: QUIZ; continue practice with distance and displacement HW: finish given problems
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Friday, 9/23 Early Release – Homecoming (7
th, 6
th, 4
th, 5
th)
3.4 – Velocity and other rates of change
Function analysis and particle motion
Warm up: p135 Unit 3.4 Quick Review #1-9 with partner Lesson: Relate derivative with instantaneous rate of change, relate displacement and velocity with derivative, find the velocity of a race car at a particular time activity. HW: p136 #8,9,10,13
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3,
EK2.3C1
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
9
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 9 Monday, 9/26 Review of Function analysis and particle motion
AP type Free Response practice
Warm up: Take FRQs. Begin #1 Class: FRQs covering function analysis and particle motion HW: finish FRQs
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Tuesday, 9/27 Review of Function analysis and particle motion
AP type Free Response practice
Warm up: Take FRQs. Begin #1 Class: FRQs covering function analysis and particle motion HW: finish FRQs
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Wednesday, 9/28 Essay – Social Studies
Review Warm up: 3 review questions Lesson: Review Unit 3.2, 3.4:reveiw worksheet:
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Thursday, 9/29 TEST 3 – Function Analysis/Particle Motion Spend more time with graphs
EK2.1D, EK2.2A1, EK2.2A2, EK2.2A3, EK2.3C1
Friday, 9/30 Derivatives of transcendental functions
Use definition of derivative to find derivatives of exponentials and logs; use derivative rules
Warm up: Graph given functions Lesson: Discuss characteristics of warm up functions such as continuity, asymptotes, etc; determine derivatives of exponential and logarithmic functions HW: finish worksheet
EK1.1A3, EK1,1B, EK2.1C1, EK2.1C2
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, SEPTEMBER 28.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
10
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 10
Monday, 10/3 Derivatives of transcendental functions
Calculate derivatives of exponential functions
Warm up: Given y = e^x, decide what properties the derivative ought to have. Lesson: Practice calculating derivatives of exponential functions worksheet. Problem book p. 50 HW: finish worksheet
EK1.1A3, EK1,1B, EK2.1C1, EK2.1C2
Tuesday, 10/4 Derivatives of transcendental functions
Calculate derivatives of logarithmic functions
Warm up: Quick Review 3.9 p178 #3-7 Lesson: Discover the derivatives of logarithmic functions partnered activity, p178 #15-28,31; worksheet. Problem book p. 50 HW: finish worksheet
EK1.1A3, EK1,1B, EK2.1C1, EK2.1C2
Wednesday, 10/5 Essay – Science
Derivatives of absolute value functions
Understand absolute value is a piecewise function to find derivative of function
Warm up: Rewrite absolute value functions as piecewise functions and graph Lesson: QUIZ over exp and log derivatives; using properties of derivatives to find derivatives of absolute value functions HW: finish given problems
EK1.1A3, EK1,1B, EK2.1C1,EK2.1C2,EK2.1C3
Thursday, 10/6 Derivatives of absolute value functions
Finding derivatives of more complicated piecewise functions
Warm up: Graph given piecewise functions Lesson: Find derivatives of piecewise functions HW: finish given problems
EK1.1A3, EK1,1B, EK2.1C1,EK2.1C2,EK2.1C3
Friday, 10/7 FACULTY AND STAFF PROFESSIONAL LEARNING DAY / STUDENT HOLIDAY
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, OCTOBER 5.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
11
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 11
Monday, 10/10 FALL HOLIDAY!
Tuesday, 10/11 Derivatives of absolute value functions
Finding derivatives of more complicated piecewise functions
Warm up: Graph given piecewise functions Lesson: Continue practice finding derivatives of piecewise functions HW: finish given problems
EK1.1A3, EK1,1B, EK2.1C1,EK2.1C2,EK2.1C3
Wednesday, 10/12 Derivatives of transcendental functions
AP type questions over derivatives
Warm up: Lesson: QUIZ; practice AP type questions covering derivatives of exponential, logarithmic, absolute value and piecewise functions HW: finish worksheet
EK1.1A3, EK1,1B, EK2.1C1,EK2.1C2,EK2.1C3
Thursday, 10/13 Early Release Professional Learning (1
st, 2
nd, 3
rd, 5
th)
No class
Friday, 10/14 Early Release Homecoming (7
th, 6
th, 4
th, 5
th)
Limits of transcendental functions
Find limits of indeterminate forms using L’Hospital’s Rule
Warm up: Find limit of exponential function Lesson: Limits of indeterminate forms may be found by using L’Hospital’s Rule. Practice using Rule. HW: finish worksheet
EK1.1A3, EK1.1B, EK2.1C1,EK2.1C2,EK2.1C3,EK1.1C3
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
12
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 12 Monday, 10/17 Limits of transcendental functions
Find limits of transcendental functions using L’Hospital’s Rule
Warm up: Lesson: Continue practicing L’Hospital’s Rule; AP type questions covering derivatives and limits of exp, log, absolute value and piecewise functions HW: Review for test
EK1.1A3, EK1.1B, EK2.1C1,EK2.1C2,EK2.1C3,EK1.1C3
Tuesday, 10/18 Limits of transcendental functions
Use L’Hospital’s Rule to find limits of complicated functions
Warm up: Find derivatives of given problems Lesson: Review for test
EK1.1A3, EK1.1B, EK2.1C1,EK2.1C2,EK2.1C3,EK1.1C3
Wednesday, 10/19 PSAT ASVAB College/Career Fair
Review Review derivatives and limits of transcendental and absolute value functions
Warm up: Find derivatives of given problems Lesson: Review for test
EK1.1A3, EK1.1B, EK2.1C1,EK2.1C2,EK2.1C3,EK1.1C3
Thursday, 10/20
Test here
TEST 4 – Exp/Logs/Abs Val/Inverse Derivatives and Limits Transcendental Functions Overall, unit went well. May need to add more review of logarithms and exponentials from Pre-Cal
EK1.1A3, EK1.1B, EK2.1C1,EK2.1C2,EK2.1C3,EK1.1C3
Friday, 10/21 3.5 – Derivatives of Trigonometric functions
Use rules of differentiating the six basic trig functions
Warm up: Trig review Problem book p. 41. Discuss graphs of trig functions especially sin(2x), etc. Lesson: Verify the answers to warm up using calculators, find the derivatives of the tangent, secant, and cosecant functions using the same method. Problem book p. 46 HW: finish p. 46
EK2.1C1,EK2.1C2
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
13
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 13
Monday, 10/24 3.5 – Derivatives of Trigonometric functions
Use rules of differentiating the six basic trig functions
Warm up: Derivatives of trig functions matching with partners Lesson: Trig derivatives requiring u-substitution worksheet HW: finish worksheet
EK2.1C1,EK2.1C2
Tuesday, 10/25 3.5 – Derivatives of Trigonometric functions
Use rules of differentiating the six basic trig functions
Warm up: p153 #1 Lesson: Review substitution and the chain rule to find derivatives, do p153 #8-30 even in class HW: p153 #7-31 odd
EK2.1C1,EK2.1C2
Wednesday, 10/26 Essay – Math
3.5 – Derivatives of Trigonometric functions
Use rules of differentiating the six basic trig functions
Warm up: p153 #1 Lesson: Review substitution and the chain rule to find derivatives, do p153 #8-30 even in class HW: p153 #7-31 odd
EK2.1C1,EK2.1C2
Thursday, 10/27 3.8 – Derivatives of Inverse Trigonometric functions
Calculate derivatives of inverse trig functions
Warm up: Find the inverse of the given linear function and describe the slopes of each Lesson: Group activity discover the derivatives of inverse trig functions, p170 #1-12; discuss graphs HW: p170 #13-22
EK2.1C1,EK2.1C2
Friday, 10/28 Benchmark #2 – Electives
3.8 – Derivatives of Inverse Trigonometric functions
Calculate derivatives of inverse functions
Warm up: use formulas to find derivatives of inverse trig functions Lesson: Finding derivatives of all inverse functions by finding inverse, then taking derivative. Using tables to find derivatives worksheet. HW: finish worksheet
EK2.1C1,EK2.1C2,EK2.1C6
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, OCTOBER 26.*
*NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, OCTOBER 27 – FRIDAY, NOVEMBER 4 (INCLUSIVE).*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
14
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 14
Monday, 10/31 Benchmark #2 – Science
Review for Benchmark Warm up: Particle motion problem Lesson: review of particle motion and function analysis worksheet HW: finish worksheet
Tuesday, 11/1 Benchmark #2 – Social Studies
Review for Benchmark Warm up: 3 review problems Lesson: review worksheet for Benchmark #2. Limits: graphically, algebraically; differentiation, continuity, tables of derivatives
Wednesday, 11/2 Review for Benchmark Warm up: 3 review problems Lesson: Problem book p. 50 derivatives of trig, exponential, logarithmic, piecewise functions HW: study for benchmark
Thursday, 11/3 Benchmark #2 – Math
Benchmark #2 Add more review with multiple choice for next year
Friday, 11/4 Benchmark #2 – English
Derivatives of trig functions
Use concepts of trig derivatives in AP type questions
Warm up: Take worksheet with AP type questions Lesson: Work with AP type questions – multiple choice as well as free response HW:
EK2.1C1,EK2.1C2
*NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, OCTOBER 27 – FRIDAY, NOVEMBER 4 (INCLUSIVE).*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
15
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 15
Monday, 11/7 Limits of trig functions
Use L’Hospital’s Rule to find limits of trig functions
Warm up: Lesson: Recognize indeterminate forms of trig functions and use L’Hospital’s Rule to find limits HW: finish worksheet
EK2.1C1,EK2.1C2,EK1.1C3
Tuesday, 11/8 Limits of trig functions
Use L’Hospital’s Rule to find limits of trig functions
Warm up: Lesson: Recognize indeterminate forms of trig functions and use L’Hospital’s Rule to find limits HW: finish worksheet
EK2.1C1,EK2.1C2,EK1.1C3
Wednesday, 11/9 Essay – Electives
Review
Thursday, 11/10
Test here
TEST 5 – Trig limits and derivatives Add at least one day to review graphs and unit circle. Students need ways to practice finding derivatives. Look for games, puzzles, etc.
EK2.1C1,EK2.1C2,EK1.1C3,EK2.1C6
Friday, 11/11 4.4 – Modeling with Optimization
Solve application problems involving finding min/max values of functions; Implicit differentiation
Warm up: With a partner: Suggest two situations in which one might want to find the min or max values of a function. Justify your answers. Lesson: Implicit differentiation; Discuss steps in solving any word problem; go over the six step strategy for solving min/max problems; use the strategy to solve 4.4 examples 1,2, and exploration 1; Examples 3,4 HW: p226 #1-10
EK2.1C5
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, NOVEMBER 9.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
16
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 16 Monday, 11/14 4.4 – Modeling with Optimization
Review for Performance Essay; solve application problems involving finding min/max values of functions
Warm up: p227 #1-11 Lesson: Discuss examples of optimization in business and industry; Problem book p. 47 and text p. 227 #1-11 HW: finish p. 47
EK2.3C3
Tuesday, 11/15 4.4 – Modeling with Optimization
Solve application problems involving finding min/max values of functions
Warm up: p227 #11 Lesson: Continue practicing Optimization problems HW: finish p. 48
EK2.3C3
Wednesday, 11/16 4.4 – Modeling with Optimization
Review for Performance Essay; solve application problems involving finding min/max values of functions
Warm up: p227 #11 Lesson: Continue practicing Optimization problems HW: finish p 49
EK2.3C3
Thursday, 11/17 4.4 – Modeling with Optimization
Solve application problems involving finding min/max values of functions
Warm up: p228 #30 Lesson: Review HW, – Problem book p. 48 more optimization problems HW:
EK2.3C3
Friday, 11/18 4.6 – Related rates
Solve related rates problems
Warm up: Use chain rule to find the derivatives of two functions Lesson: Class activity: solve a related rate problem and determine steps needed to solve it; review 6-step process for solving related rate problems; use steps to solve examples HW: p251 #1-5
EK2.3C2
THANKSGIVING BREAK! 11/21 11/25
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
17
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 17 Monday, 11/28 4.6 – Related rates
Solve related rates problems
Warm up: Quick review 4.6 p250 #1,3-6 Lesson: Review HW; more related rates problems p251 #6-11 HW: p251-252 #13-17
EK2.3C2
Tuesday, 11/29 4.6 – Related rates
Solve related rates problems
Warm up: Review answers to hw from board Lesson: QUIZ over Optimization and related rates HW: Practice Related rates problems
EK2.3C2
Wednesday, 11/30 4.6 – Related rates
Solve related rates problems
Warm up: find the derivative of the given trig function Lesson: Review HW; more related rates problems p253 #25-30 HW: p251 #31-35
EK2.3C2
Thursday, 12/1 4.6 – Related rates
Solve related rates problems
Warm up: p255 AP Quiz #1-3 Lesson: Review HW; Problem book p. 49 HW: finish p. 49
EK2.3C2
Friday, 12/2 4.6 – Related rates
Solve related rates problems
Warm up: limit review of trig functions Class: Review HW; selected related rates problems from AP Exam worksheet HW: finish worksheet
EK2.3C2
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
18
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 18 Monday, 12/5 Review Warm up: particle motion review problem Class: Review HW; selected optimization problems from AP Exam worksheet HW: study for test
EK2.3C2
Tuesday, 12/6 TEST – Optimization, Related Rates This unit went well.
EK2.1C5, EK2.3C3, EK2.3C2
Wednesday, 12/7 Limits, Continuity Review for final exam Warm up: Find limits of given functions Class: Review of limits and continuity worksheet HW: finish worksheet
Thursday, 12/8 Derivatives, particle motion
Review for final exam Warm up: Find derivatives of given functions Class: Review tests; Review of derivatives and particle motion
Friday, 12/9 Function analysis Review for final exam Warm up: Pick up review sheet and begin Class: Review of function analysis and theorems
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
19
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(CCGPS, GPS, AP)
Week 19
Monday, 12/12 Review of semester
Review for final exam Lesson: Continue review for final covering limits, continuity, derivatives, differentiation, particle motion, EVT, MVT, IVT,
Rolle’s Theorem, function analysis, optimization, related rates
Tuesday, 12/13 Semester Exams (Benchmark #3) – 7th
Period
Wednesday, 12/14 Semester Exams (Benchmark #3) – 1st
& 2nd
Periods
Thursday, 12/15 Semester Exams (Benchmark #3) – 3rd
& 4th
Periods
Friday, 12/16 Semester Exams (Benchmark #3) – 5th
& 6th
Periods
End 1st Semester
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
20
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 1 Tuesday, 1/3 FACULTY AND STAFF PROFESSIONAL LEARNING DAY / STUDENT HOLIDAY
Wednesday, 1/4 Integrals
Antiderivatives The power rule and the chain rule for integration
Warm up: find the derivative of 5 basic functions Lesson: Present derivatives and ask students to determine the original function; define Integral; PB p. 102-103 HW: finish p. 102-103
EK3.1A1,EK3.1A2
Thursday, 1/5 Integrals Integration by u-substitution
Warm up: PB p. 104 #879-881 Lesson: Present the power rule and chain rule for integration; practice worksheet finding integrals HW: finish worksheet
EK3.1A1,EK3.1A2
Friday, 1/6 Integrals Integration by u-substitution
Warm up: Factor polynomial using u-substitution Lesson: Present u-substitution for solving integrals; practice worksheet using u-substitution; ask what finding integrals reminds students of (inverse), PB p. 104; include u-substitution HW: finish p. 104
EK3.1A1,EK3.1A2
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
21
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 2 Monday, 1/9 Integrals The power rule and the chain rule for integration
Warm up: find the derivative of 2 more complicated functions Lesson: Present the power rule and chain rule for integration; practice worksheet finding integrals including trig HW: finish worksheet
EK3.1A1,EK3.1A2
Tuesday, 1/10 Integrals More practice with indefinite integrals – using geometry for definite integrals
Warm up: PB p. 109 Lesson: Continue working p. 109. Begin integrals of logs, exponentials PB p. 110 HW: finish PB p. 110 study for quiz
EK3.1A1,EK3.1A2
Wednesday, 1/11 Integrals More practice with indefinite integrals
Warm up: find the integral of 3 problems Lesson: Review HW; Quiz over integrals Begin discussion of definite integrals, Riemann sums HW: finish worksheet
EK3.1A1,EK3.1A2,EK3.2A1
Thursday, 1/12 5.1 – Estimating with finite sums
Approximate the area under the graph of a nonnegative continuous function by using rectangle approximation methods
Warm up: PB p. 113 #1029-1037 Lesson: PB p. 113 #1038-1040 Integrals of Piecewise functions. Exploration 1 p267 Have students estimate the area under the curve of a given positive function; discuss the Rectangular Approximation Method and have students use it to estimate the area under the same curve – did they use LRAM, RRAM, or MRAM? Continue with examples of each method – which gives a more accurate estimate and why? Present Trapezoidal Rule p312 #1,3,5,10,13 HW: p270 #1-1-4
EK3.2A1,EK3.2B2
Friday, 1/13 5.1 – Estimating with finite sums
Interpret area under a graph as a net accumulation of change;
Warm up: PB p. 114 #1045 Lesson: Review HW; p270-271 #15,17;p271 #20 PB p. 114, HW: p271 #18-19,21,24
EK3.2A1,EK3.2B2
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
22
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 3 Monday, 1/16 MLK HOLIDAY
Tuesday, 1/17 5.5 – Trapezoidal Rule
Approximate the definite integral by using the Trapezoidal Rule and Simpson’s Rule
Warm up: Find area under curve of given function using either LRAM, RRAM, or MRAM Lesson: Review of Indefinite and Definite Integrals as well as LRAM, RRAM, MRAM, TRAM for test Friday HW: p312 #2,4,6,14,15,17
EK3.2A1,EK3.2B2
Wednesday, 1/18 5.5 – Trapezoidal Rule
Estimate the error in using the Trapezoidal Rule and Simpson’s Rule
Warm up: p307 Example 1 Lesson: Review HW; using example 1 from Warm up, discuss the overestimation of the answer, present Simpson’s Rule and compare results, discuss Error Bounds, p313 Group Activity 22 HW: PB p. 124-125 Add Free Response
EK3.2A1,EK3.2B2
Thursday, 1/19 Review Warm up: PB p. 117 review Lesson: Review HW; finish p. 117, 120, 121, 122, 123 selected problems HW: study for test
Friday, 1/20 TEST – Indefinite Integrals, Sums EK3.1A1,EK3.1A2, EK3.2A1,EK3.2B2
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
23
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 4
Monday, 1/23 5.2 – Definite Integrals
Express the area under a curve as a definite integral and as a limit of Riemann sums
Warm up: PB p. 105 #911 – 913 Lesson: Review HW; Riemann Sums; Definite Integral as a Limit of Riemann Sums, accumulation; MasterMathMentor p. 172-173 HW: finish classwork
EK3.2A2,EK3.2A3,EK3.4A3,EK3.4D1
Tuesday, 1/24 5.2 – Definite Integrals
Express area under a curve as a definite integral and as a limit of Riemann sums – using geometry for definite integrals
Warm up: PB p. 105 begin #911 Lesson: Review HW; continue to work p. 105 Class reviews accumulation. MasterMathMentor p. 174-175 HW: finish classwork
EK3.2A2,EK3.2A3,EK3.4A3,EK3.4D1
Wednesday, 1/25 Essay – English
5.2 – Definite Integrals
Compute the area under a curve using numerical integration procedure
Warm up: Standardized Test Questions p283 #41-46 Lesson: Review HW; Explorations p283 #47-55 odd; include practice with and without calculators MasterMathMentor p. 176-178 HW: MasterMathMentor p. 179-181
EK3.2A2,EK3.2A3,EK3.4A3,EK3.4D1
Thursday, 1/26 5.3 – Definite Integrals and Antiderivatives
Apply rules for definite integrals
Warm up: List rules for indefinite integrals Lesson: Review HW; Rules for definite integrals, u-substitution with change of limits MasterMathMentor p. 182-183 HW: MasterMathMentor p. 184
EK3.2B1,EK3.2C2,EK3.2C3
Friday, 1/27 5.3 – Definite Integrals and Antiderivatives
Apply rules for definite integrals
Warm up: Find average value of function on given interval Lesson: Review HW; p291 #31-36; Group activity #37; focus on u-substitution MasterMathMentor p. 185-186 HW: MasterMathMentor p. 187-188
EK3.2B1,EK3.2C2,EK3.2C3
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, JANUARY 25.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
24
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 5
Monday, 1/30 Continue u-substitution
Apply rules for definite integrals
Warm up: Linear motion word problem Lesson: Discuss warm up, understand that the integral of a rate gives the net change, Continue u-substitution MasterMathMentor p. 189-191 HW: odd MasterMathMentor p. 192-194
EK3.3A3,EK3.4A1,EK3.4A2,EK3.4E1
Tuesday, 1/31 Inverse Trig Derivatives and Integrals
Inverse Trig Derivatives and Integrals
Warm up: Quick review p385 #1-5 Lesson: Review HW, Accumulation, practice reading graphs. Review function analysis. Inverse Trig Derivatives and Integrals MasterMathMentor p. 203-206 HW: MasterMathMentor p. 207-208
EK3.3A3,EK3.4A1,EK3.4A2,EK3.4E1
Wednesday, 2/1 Essay – Social Studies
Average Value, Mean Value, FTC part 2
Recognize average value of a function is not the mean
Warm up: find limit of given function Lesson: Review HW, MasterMathMentor p. 199-200 HW: MasterMathMentor p. 201-202
EK3.3A3,EK3.4A1,EK3.4A2,EK3.4E1
Thursday, 2/2 Average Value, Mean Value, FTC part 2
Recognize average value of a function is not the mean
Warm up: Lesson: QUIZ Continue practice with Average Value of a function, Mean Value Theorem for Integrals and Fundamental Theorem of Calculus HW: worksheet
EK3.4D1
Friday, 2/3 Average Value, Mean Value, FTC part 2
Recognize Mean Value Theorem for Integrals is not the same as MVT for Derivatives
Warm up: Standardized Test Questions p397 #52 Lesson: Review HW, continue practice with average value, mean value and FTC HW:
EK3.4D1
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, FEBRUARY 1.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
25
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 6
Monday, 2/6 Review Warm up: p432 #32 Lesson: Review HW, Free Response Review
Tuesday, 2/7 TEST – Definite Integrals, Area, Accumulation This unit went well.
EK3.2A2,EK3.2A3,EK3.4A3,EK3.4D1,EK3.2B1,EK3.2C2,EK3.2C3,EK3.3A3,EK3.4A1,EK3.4A2,EK3.4E1, EK3.4D1
Wednesday, 2/8 Review for Benchmark; focus on Free Response Questions
Warm up: take FRQs and begin #1 Class: discuss FRQ #1. Continue practicing FRQs worksheet. Riemann Sums tables HW: finish FRQs.
Thursday, 2/9 Review for Benchmark; focus on Free Response Questions
Warm up: take FRQs and begin #1 Class: discuss FRQ #1. Continue practicing FRQs worksheet. HW: finish FRQs.
Friday, 2/10 Benchmark #1 – Electives
Review for Benchmark; focus on Multiple Choice Questions
Review for Benchmark #1
*NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, FEBRUARY 9 – FRIDAY, FEBRUARY 17 (INCLUSIVE).*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
26
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 7 Monday, 2/13 Benchmark #1 – Math
BENCHMARK #1 EK3.1A1,EK3.1A2, EK3.2A1,EK3.2B2, EK3.2A2,EK3.2A3,EK3.4A3,EK3.4D1,EK3.2B1,EK3.2C2,EK3.2C3,EK3.3A3,EK3.4A1,EK3.4A2,EK3.4E1, EK3.4D1
Tuesday, 2/14 Benchmark #1 – English
7.3 - Volumes Finding the area between curves
Warm up: Find the area under two separate curves Lesson: Find the area between the two curves in the warm up. Determining the setup of integrals graphically as well as algebraically using a horizontal interval. Worksheet problems. Practice with calculator graphing. HW: finish worksheet
EK3.4D2
Wednesday, 2/15 7.3 - Volumes Finding the area between curves
Warm up: Find the area between the curves along a horizontal interval. Lesson: Review HW and begin area between curves along a vertical interval. Understanding that the calculator is restricted to a horizontal domain. Worksheet HW: finish worksheet
EK3.4D2
Thursday, 2/16 Benchmark #1 – Science
7.3 - Volumes Finding the area between curves
Warm up: Find the area between the curves along a vertical interval. Lesson: Continue practice with finding area between curves. HW: finish worksheet.
EK3.4D2
Friday, 2/17 Benchmark #1 – Social Studies
7.3 - Volumes Use integration to calculate volumes of solids and surface areas of solids of a revolution
Warm up: Draw the graph of the region enclosed by the y-
axis, the line y-2, and the curve 𝑦 = √𝑥 Lesson: Review homework problems. Practice sketching graphs of regions enclosed by a variety of functions.
EK3.4D2
*NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, FEBRUARY 9 – FRIDAY, FEBRUARY 17 (INCLUSIVE).*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
27
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 8 Monday, 2/20 Winter Holiday Tuesday, 2/21
Wednesday, 2/22
Thursday, 2/23 FACULTY AND STAFF PROFESSIONAL LEARNING DAY / STUDENT HOLIDAY
Friday, 2/24
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
28
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 9 Monday, 2/27 7.3 - Volumes Use integration to calculate volumes of solids of a revolution
Warm up: Take worksheet from metal bin. Sketch the functions. Lesson: Finding the volume of a region rotated about an x-axis worksheet HW: finish worksheet
EK3.4D2
Tuesday, 2/28 7.3 - Volumes Use integration to calculate volumes of solids of a revolution
Warm up: Find the volume of the given problem Lesson: Review HW, More volumes of revolution including rotating about y-axis worksheet HW: finish worksheet
EK3.4D2
Wednesday, 3/1 Essay – Science
7.3 - Volumes Use integration to calculate volumes of solids of a revolution
Warm up: Sketch functions with vertical and horizontal shifts. Lesson: Review HW, discuss warm up, define volume of a solid, ask if students know what a cross section is, discuss how to find the volume by ‘slicing’ (disk and washer), worksheet HW: finish worksheet
EK3.4D2
Thursday, 3/2 7.3 - Volumes Use integration to calculate volumes of solids using cross sections
Warm up: Textbook p. 405 Quick Review #1-10 Lesson: Review HW, find volumes of solids with cross sections Textbook p. 406 #1-6 HW: Finish #1-6
EK3.4D2
Friday, 3/3 7.3 - Volumes Use integration to calculate volumes of solids using cross sections
Warm up: Take worksheet from metal bin. Do #1-2 Lesson: Review HW, continue worksheet problems: finding volumes of solids with cross sections. HW: finish worksheet
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, MARCH 1.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
29
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 10 Monday, 3/6 Review Warm up: volume of solid with cross section Lesson: Review HW, review volumes of revolution
Tuesday, 3/7 TEST - Volume EK3.4D2
Wednesday, 3/8 6.1 – Slope Fields
Construct slope fields Warm up: Graph quadratic and cubic functions and discuss the slopes of each. Lesson: Use WinPlot program to show slope fields of different functions, students construct slope field of Exploration 1 p323, and examples PB p. 111 HW: PB p. 142
EK3.3A1,EK3.3A2,EK3.3B2,EK3.3B3,EK3.3B4
Thursday, 3/9 6.1 – Slope Fields Slope fields and differential equations
Warm up: draw slope field of given function Lesson: Activity: Slope Field Card Match; Free Response Questions from previous AP exams HW: finish given free response questions
EK3.3A1,EK3.3A2,EK3.3B2,EK3.3B3,EK3.3B4,EK2.3F1
Friday, 3/10 6.1 – Slope Fields Solving differential equations
Warm up: draw slope field of given function Lesson: More free response questions from previous AP exams HW: finish given free response questions
EK2.3F1
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
30
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 11
Monday, 3/13 FACULTY AND STAFF PROFESSIONAL LEARNING DAY / STUDENT HOLIDAY
Tuesday, 3/14
Fundamental Theorem of Calculus part 2
Finding integrals of functions over variable intervals
Warm up: Use the Chain Rule to solve the given integral Lesson: Review definite integrals, FTC, discuss finding integrals of functions over variable intervals. Worksheet HW: finish worksheet
EK3.3B2
Wednesday, 3/15 Fundamental Theorem of Calculus part 2; differential equations and slope fields
Review of fundamental theorem of calculus, differential equations and slope fields
Warm up: Write the Fundamental Theorem of Calculus Lesson: Review fundamental theorem of calculus, differential equations and slope fields HW: finish worksheet
EK3.3B2 EK3.3A1,EK3.3A2,EK3.3B2,EK3.3B3,EK3.3B4,EK2.3F1
Thursday, 3/16 Early Release Professional Learning (1
st, 2
nd, 3
rd, 5
th)
No class
Friday, 3/17 Early Release Professional Learning (7
th, 6
th, 4
th, 5
th)
6.4 – Exponential Growth & Decay
Solve problems involving exponential growth and
decay
Warm up: Quick Review p357 #1-10 Lesson: Review HW; review separation of variables p357 #1-10,review exponential growth and decay, continuously compounded interest, radioactivity and half-life, Exploration 1 group activity HW: p357 #21-26
EK3.5B1,EK3.5A1,EK3.5A2,EK3.5A3,EK3.5A4
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
31
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 12
Monday, 3/20 6.4 – Exponential Growth & Decay
Solve problems involving exponential growth and decay
Warm up: Quick Review p357 #1-10 Lesson: Review HW; review separation of variables p357 #1-10,review exponential growth and decay, continuously compounded interest, radioactivity and half-life, Exploration 1 group activity HW: p357 #21-26
EK3.5B1,EK3.5A1,EK3.5A2,EK3.5A3,EK3.5A4
Tuesday, 3/21 6.4 – Exponential Growth & Decay
Solve problems involving exponential growth and decay
Warm up: Free Response exponential growth Lesson: Review HW; more practice with exponential growth and decay worksheet HW: finish worksheet
EK3.5B1,EK3.5A1,EK3.5A2,EK3.5A3,EK3.5A4
Wednesday, 3/22 Essay – Math
6.4 – Exponential Growth & Decay
Solve problems involving exponential growth and decay
Performance Exam Lesson: Review HW; continue to practice p358-359 #27-36 HW: p359 #37-41
EK3.5B1,EK3.5A1,EK3.5A2,EK3.5A3,EK3.5A4
Thursday, 3/23 6.5 – Logistic Growth
Solve problems involving exponential or logistic population growth, Differential Equations
Warm up: Solve problem involving population growth Lesson: Solving Differential Equations HW: PB p. 139
EK3.5B1,EK3.5A1,EK3.5A2,EK3.5A3,EK3.5A4
Friday, 3/24 6.5 – Logistic Growth
Solve problems involving exponential or logistic population growth
Warm up: PB p. 141 Lesson: Review HW, continue to practice p369 #5-14 HW: review worksheet
EK3.5B1,EK3.5A1,EK3.5A2,EK3.5A3,EK3.5A4
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, MARCH 22.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
32
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 13 Monday, 3/27 Review Warm up: PB p. 143 Lesson: Review HW, PB p. 144-149 HW: finish classwork
Tuesday, 3/28 Review Warm up: p373 #10 Lesson: Review HW; continue review PB p. 144-149 HW: study for test
Wednesday, 3/29 TEST – Part 1: DEQs, Slope Fields EK3.3A1,EK3.3A2,EK3.3B2,EK3.3B3,EK3.3B4,EK2.3F1, EK3.5B1,EK3.5A1,EK3.5A2,EK3.5A3,EK3.5A4
Thursday, 3/30 TEST – Part 2: DEQs, Slope Fields free response questions
Friday, 3/31 Derivative of inverse functions
Finding derivatives of functions and their inverses: Fundamental Theorem of Calculus part 2
Warm up: find the inverse of the given functions Lesson:
SPRING BREAK! Friday, 4/3 Friday, 4/7
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
33
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 14
Monday, 4/10 Tangents and continuity
Practicing free response exam questions
Warm up: Students pick up FR questions on tangents and continuity. Do #1 (13 min) Class: Discuss solution; continue to work FR problems on tangents and continuity HW: finish worksheet
Tuesday, 4/11 Graph Analysis and curve sketching
Practicing free response exam questions
Warm up: Students pick up FR questions on analyzing graphs. Do #1 (13 min) Class: Discuss solution; continue to work FR problems on analyzing graphs HW: finish worksheet
Wednesday, 4/12 Graph Analysis and curve sketching
Practicing free response exam questions
Warm up: Students pick up FR questions on analyzing graphs. Do #1 (13 min) Class: Discuss solution; continue to work FR problems on analyzing graphs HW: finish worksheet
Thursday, 4/13 Particle Motion Practicing free response exam questions
Warm up: Students pick up FR questions on particle motion. Do #1 (13 min) Class: Discuss solution; continue to work FR problems on particle motion HW: finish worksheet
Friday, 4/15 Benchmark #2 – Electives
Particle Motion Practicing free response exam questions
Warm up: Students pick up FR questions on particle motion. Do #1 (13 min) Class: Discuss solution; review particle motion and add distance and displacement using integrals; continue to work FR problems on particle motion HW: finish worksheet
*NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, APRIL 13 – FRIDAY, APRIL 21 (INCLUSIVE).*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
34
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 15
Monday, 4/18 Benchmark #2 – English
Review for Benchmark #2
Warm Up: Pick up review sheet and begin #1 Class: Continue to work problems and review in class HW: Study for exam
Tuesday, 4/19 Benchmark #2 – Math
BENCHMARK #2
Wednesday, 4/20
Thursday, 4/21 Benchmark #2 – Social Studies
Particle Motion Practicing free response exam questions
Warm up: Students pick up FR questions on particle motion. Do #1 (13 min) Class: Discuss solution; review particle motion and add distance and displacement using integrals; continue to work FR problems on particle motion HW: finish worksheet
Friday, 4/22 Benchmark #2 – Science
Particle Motion Practicing free response exam questions
Warm up: Students pick up FR questions on sums. Do #1 (13 min) Class: Discuss solution; continue to work FR problems on sums HW: finish worksheet
*NO OTHER MAJOR ASSESSMENTS FROM THURSDAY, APRIL 13 – FRIDAY, APRIL 21 (INCLUSIVE).*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
35
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 16
Monday, 4/24 Sums; Area of Region
Practicing free response exam questions
Warm up: Students pick up FR questions on area. Do #1 (13 min) Class: Discuss solution; continue to work FR problems on area and volume HW: finish worksheet
Tuesday, 4/25 Related Rates Practicing free response exam questions
Warm up: Students pick up FR questions on related rates. Do #1 (13 min) Class: Discuss solution; continue to work FR problems on related rates HW: finish worksheet
Wednesday, 4/26 Essay – Electives
Mixed review of all types of FR questions
Practicing free response exam questions
Warm up: Students pick up FR questions. Do #1 (13 min) Class: Continue to work FR questions. Types of questions will be determined by seen weaknesses from previous reviews. HW: study for FR test tomorrow
Thursday, 4/27
Test here
Practice Exam – Multiple Choice
Friday, 4/28
Test here
Practice Exam – Free Response Questions
*NO OTHER MAJOR ASSESSMENTS ON WEDNESDAY, APRIL 26.*
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
36
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 17 Monday, 5/1 Review Final preparation for AP exam
Warm up: write list of confident areas Class: Review the Practice Exam; make corrections
Tuesday, 5/2 Review Final preparation for AP exam
Warm up: write list of confident areas Class: Give 10 MC questions to pairs, discuss answers HW: study for exam
Wednesday, 5/3 Review Final preparation for AP exam
Warm up: write list of confident areas Class: Give 10 MC questions to pairs, discuss answers HW: study for exam
Thursday, 5/4 Review Final preparation for AP exam
Warm up: write list of confident areas Class: Give 10 MC questions to pairs, discuss answers HW: study for exam
Friday, 5/5 Review Final preparation for AP exam
Warm up: write list of confident areas Class: Give 10 MC questions to pairs, discuss answers HW: study for exam
AP Exams Monday, 5/1 – AP Chem, AP Enviro Science, and AP Psych Tuesday, 5/2 – AP Spanish Language Wednesdays, 5/3 – AP English Literature Thursday, 5/4 – AP Government Friday, 5/5 – AP US History, AP Studio Art
Milestones To be determined.
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
37
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 18 Monday, 5/8 Review Final preparation for AP exam
Warm up: write list of confident areas Class: Give 10 MC questions to pairs, discuss answers HW: study for exam
Tuesday, 5/9 AP EXAM
Wednesday, 5/10 Calculus Project Create in depth review of one topic
Class: Course Evaluation HW:
Thursday, 5/11 Calculus Project Create in depth review of one topic
Class: Work on project: From list of weak areas, pick one to create a class lesson HW:
Friday, 5/12 Calculus Project Create in depth review of one topic
Class: Finish work on project and turn in Turn in Review Packet
AP Exams Monday, May 8 – AP Biology Tuesday, May 9 – AP Calculus Wednesday, May 10 – AP English Language and AP Macroeconomics Thursday, May 11 – AP World History and AP Statistics Friday, May 12 – AP Human Geography
Milestones To be determined.
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
38
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 19 Monday, 5/15 Final Exam Review
Area and volume Warm up: take review and begin Class: Area and volume worksheet HW: finish worksheet
Tuesday, 5/16 Final Exam Review
Integrals Warm up: take review and begin Class: Integrals worksheet HW: finish worksheet
Wednesday, 5/17 Final Exam Review
Integrals Warm up: take review and begin Class: Integrals worksheet HW: finish worksheet
Thursday, 5/18 Final Exam Review
slope fields Warm up: take review and begin Class: slope fields worksheet HW: finish worksheet
Friday, 5/19 Final Exam Review
Differential Equations Warm up: take review and begin Class: Differential Equations worksheet HW: finish worksheet
Buford High School CURRICULUM CALENDAR 2016-2017
COURSE: AP Calculus AB
SEMESTER: 2016-2017
TEACHER(S): Shumock
39
WEEK DAY CONCEPT OBJECTIVES INSTRUCTIONAL STRATEGIES STANDARDS
(GSE, AP)
Week 20 Benchmark Week #3
Monday, 5/22 Senior Exams (Benchmark #3 – 5th
, 6th
, & 7th
)
Tuesday, 5/23 Semester Exams (Benchmark #3 – 7th
)
Wednesday, 5/24 Semester Exams (Benchmark #3 – 1st
& 2nd
)
Thursday, 5/25 Semester Exams (Benchmark #3 – 3rd
& 4th
)
Friday, 5/26 Semester Exams (Benchmark #3 – 5th
& 6th
)