buford high school curriculum calendar 2016...

39
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.

Upload: others

Post on 14-Mar-2020

10 views

Category:

Documents


0 download

TRANSCRIPT

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

)