buford high school curriculum calendar 2016...
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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
)