AUGUST 2017 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY

3 Rules, Syllabus, and Introductions

Summer Assignment

4 Review 18 functions: domain, range, asymptotes, continuity, end behavior written as limits; Limit Existence Theorem; Limits - graphically

7 Limits – graphically, one-sided limits, two-sided limits,; limits that don’t exist HW – Graphical approach to limits worksheet

8 Limits – algebraically Polynomials, radicals, rationals, trigonometric, piecewise, exponential, logarithmic; limits that don’t exist; properties of limits HW – finish worksheet

9 Continue finding limits algebraically using tables HW – Algebraic approach to limits worksheet

10 Definition of continuity – building a bridge; discontinuities; using limits to find asymptotes of functions; Continue finding limits algebraically HW – study for quiz

11 QUIZ – limits graphically and algebraically Continue finding limits algebraically; one-sided limits HW – finish worksheet

14 Continue finding limits algebraically Using limits to find asymptotes, inc/dec of functions HW – continuity worksheet

15 Continue finding limits of more complicated functions algebraically Sandwich theorem HW – multiple choice worksheet

16 Review for test

17 TEST 1 – Limits and continuity

18 Rates of change, tangent lines; Definition of the derivative HW – finish worksheet

21

Using the definition of the derivative worksheet. HW – finish worksheet

22

Techniques of differentiation: power, sum, product, quotient rules. Equations of the tangent and normal worksheet. HW – finish worksheet

23

Techniques of differentiation: power, sum, product, quotient rules. Equations of the tangent and normal worksheet. HW – finish worksheet

24

Equations of tangent lines, normal lines and horizontal lines; non-differentiability HW – study for quiz

25

QUIZ – finding derivatives using the definition as well as the rules Finding derivatives using tables worksheet. HW – finish worksheet

28

Determining differentiability of functions. HW – AP type Multiple choice problems Problem Book p. 42 and 45

29

Functions that are not differentiable; local linearity; horizontal and vertical tangents HW – Review of derivatives

30 Review

31 TEST 2 - Derivatives

SEPTEMBER 2017 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY

1 EARLY RELEASE 1,2,3,5 PLD Algebra Review

4 Labor Day Holiday

5 Particle Motion: position, velocity, acceleration functions. HW – finish worksheet #1-6

6 Continue particle motion problems: moving right, left; changing directions; speeding up and slowing down Speed, acceleration, total distance, displacement HW – finish worksheet

7 Comparing position, velocity and acceleration graphs HW – finish worksheet

8 AP type free response HW – finish worksheet

11 Reading particle motion graphs HW – finish graphs

12 Benchmark 1 Review Limits, continuity, derivatives, differentiability, particle motion

13 Benchmark 1 Review Limits, continuity, derivatives, differentiability, particle motion

14 Benchmark 1 Review Limits, continuity, derivatives, differentiability, particle motion

15 Benchmark 1 Review Limits, continuity, derivatives, differentiability, particle motion

18

Benchmark #1

19 Particle motion – displacement, total distance, maximum speed worksheet. HW – finish worksheet

20 Min/max, inc/dec, concavity, maximums and minimums, horizontal tangents worksheet HW – finish worksheet

21 Compare f, f’ and f’’ graphically worksheet HW – finish worksheet

22 Continue comparing graphs of f, f’ and f”. Free Response Questions

25 FRQs covering function analysis and particle motion HW – finish FRQs

26 FRQs covering function analysis and particle motion HW – finish FRQs

27 Review for test

28 TEST 3 – Particle Motion and Function Analysis

29 Intermediate Value Theorem, Extreme Value Theorem, Mean Value Theorem for derivatives Worksheet

October 2017 2 Derivatives of exponential and logarithmic functions

3 Applications of derivatives of exponential and logarithmic functions worksheet

4 QUIZ over derivatives of exponential, logarithmic functions L’Hospital’s Rule worksheet

5 Applications of derivatives of absolute value and piecewise functions worksheet

6 Student holiday

9 Student holiday

10 Practice AP type questions covering derivatives of exponential, logarithmic, absolute value and piecewise functions

11 College Day/Career Day/ASVAB

12 Early release Classes are 7th, 6th, 4th, 5th Practice with L’Hospital’s Rule

13 Early release Classes are 1st, 2nd, 3rd, 5th Practice with L’Hospital’s Rule

16 Practice AP type questions covering derivatives of exponential, logarithmic, L’Hopital’s Rule and theorems

17 Practice AP type questions covering derivatives of exponential, logarithmic, L’Hopital’s Rule and theorems

18 Review for test

19 TEST 4 – Derivatives of exponential, logarithmic, absolute value, piecewise functions

20 Graphing trig functions, finding the derivative of sine

23 Reviewing unit circle, trig identities, finding the derivatives of cosine, tangent, cotangent, secant and cosecant HW – worksheet

24 Review derivatives of trigonometric, exponential, logarithmic, piecewise functions HW – finish review

25 Review of derivatives, particle motion and function analysis HW – finish review

26 Review of limits and continuity matching activity

27 Benchmark #2

30 Practice trig derivatives; trig derivatives requiring u-substitution HW – worksheet

31 Discovering the derivatives of inverse functions worksheet HW – finish worksheet

November 2017

1 Calculating the derivatives of inverse functions worksheet HW - worksheet

2 Work with AP type questions HW – finish classwork

3 Finding limits of trig functions using L’Hospital’s Rule worksheet HW – finish classwork

6 Math Performance Exam

7 Review for test

8 TEST – Trig Derivatives and Apps

9 Implicit differentiation worksheet. Optimization HW – finish worksheet

10 Optimization Go over 6 step strategy for solving min/max problems. Use strategy to solve problems

13 Optimization problems worksheet HW – finish worksheet

14 Optimization problems worksheet HW – finish worksheet

15 Optimization problems worksheet HW – finish worksheet

16 Optimization problems worksheet and related rates HW – finish worksheet

17 Related rates. Determine the steps required to solve related rates problems. HW – QUIZ will be Tuesday after break.

20 Thanksgiving Holidays

21 22 23 24

27 Optimization/related rates worksheet. HW – finish worksheet and study for quiz.

28 Quiz over Optimization and related rates problems

29 More related rates problems – some from previous AP exams HW – finish problems

30 More related rates problems HW – given problems

December 2017

1 Selected related rates problems from AP Exam worksheet HW – finish worksheet

4 Review for test HW – study for test

5 TEST – Optimization, Related Rates

6 Review for final

7 Review for final

8 Review for final

11 Review for final Mixed review

12 Final exams 7th

13 Final exams 1st, 2nd

14 Final exams 3rd, 4th

15 Final exams 5th, 6th