PHS 2015 -2016 School Calendar August 17 Teacher Work Day – NO SCHOOL August 18 Convocation NO SCHOOL August 19 First Day for Students -Intro to course -Book distribution -Know Your Limits?! on white boards with partners August 20 August 21 2.1/2.2 Rates of Change and Limits, Limits Involving Infinity Review Objectives: Students will be able to: calculate average and instantaneous speeds, define and calculate limits for function values and apply the properties of limits, use the Sandwich Theorem to find certain limits indirectly. Students will be able to: find and verify end behavior models for various functions, calculate limits as x goes to infinity and negative infinity and to identify vertical and horizontal asymptotes. August 24 August 25 August 26 August 27 August 28 Review (1 mod) SLO Pre-Assessment 2.3 Continuity Warmup Problem #2continuity Review 2.1-2.2 Quiz 2.1-2.2 AP Problems – Students present Group Discussion Bridge and Road 2.4 Rates of Change and Tangent Lines Smartboard lesson Smartboard Lesson Objectives: Students will be able to: -identify the intervals upon which a given function is continuous and understand the meaning of a continuous function. -remove removable discontinuities by extending or modifying a function. -apply the Intermediate Value Theorem and the properties of algebraic combinations and composites of continuous functions. Objectives: Students will be able to apply directly the definition of the slope of a curve in order to calculate slopes -find the equations of the tangent line and normal line to a curve at a given point. find the average rate of change of a function. August 31 September 1 Review (1 mod) 2.3-2.4 Quiz September 2 September 3 September 4 Chapter 2 Test 3.1 Derivative of a Function 3.2 Differentiability 2.3-2.4 AP Problems – collect for points SmartBoard Lesson SmartBoard Lesson Matching Activity Objectives: Students will be able to: Understand the derivative as it is presented geometrically, numerically, and analytically. Understand the derivative as an instantaneous rate of change. Understand the derivative defined as the limit of the difference quotient. Understand the slope of a curve at a point. Determine the tangent line to a curve at a point and the local linear approximation. Determine the corresponding characteristics of graphs of f and f’. Review September 7 Labor Day – NO SCHOOL September 8 September 9 Homework Questions? 3.3 Rules for Differentiation September 10 3.4 Velocity and Other Rates of Change 3.1-3.2 Packet in mixed-ability groups 3.1-3.3 Quiz SmartBoard Lesson 3.3 ICE Derivative Memorization Quiz #1 Pep Schedule September 15 September 16 September 17 3.1-3.3 AP Problems – Students present Review Review 3.4 Review WS and Catching a Bus Activity 3.5 Derivatives of Trig Functions 3.4 Quiz SmartBoard Lesson Objectives: Students will be able to use derivatives to analyze straight-line motion and solve other problems involving rates of change. September 11 Review Objectives: Students will be able to use the rules for differentiation to find derivatives. September 14 Objectives: Students will be able to determine right-hand and left-hand derivatives and determine whether a function is differentiable at a point. Objectives: Students will be able to use derivatives to analyze straight-line motion and solve other problems involving rates of change. SmartBoard Lesson Objectives: Students will be able to use the rules for differentiating the six basic trig functions. September 18 PD – NO SCHOOL September 21 September 22 September 23 3.6 Chain Rule Review 3.5 September 24 SUB SmartBoard Lesson Derivative Memorization Quiz #2 (POP) 3.5 Quiz Whiteboards September 25 Derivative Bingo & Review Students will work on 3.6 HW Objectives: Students will be able to differentiate composite functions using the Chain Rule and find slopes of parametrized curves. September 28 September 29 September 30 October 1 October 2 Derivative Memorization Quiz #3 3.7 Implicit Differentiation Finish 3.7 HW Questions? 3.8 Derivatives of Inverse Trig Functions SmartBoard Lesson Review on White Boards 3.7 Quiz 3.6 Quiz (1 mod) 3.4-3.6 AP Problems – Students present Objectives: Students will be able to find derivatives using implicit differentiation and find derivatives using the Power rule for Rational Powers of x. October 5 October 6 October 7 October 8 October 9 Work day Derivative Memorization Quiz #4 Derivative Memorization Quiz #5 Deriver's License Quiz 3.8 – 3.9 Quiz 3.9 Derivatives of Exponential and Logarithmic Functions Review - Stations Review (Children's Show – 7 students missing) Objectives: Students will be able to: calculate derivatives of functions involving the inverse trigonometric functions. Deriver's License Quiz (Collect 3.8 & 3.9 HW) Objectives: Students will be able to: calculate derivatives of exponential and logarithmic functions. October 12 ParentTeacher Conferences 8 – 3:00 NO SCHOOL October 13 October 14 October 15 October 16 Review in pairs Pairs (Strong, Weak) based on performance from 3.83.9 Quiz See smartboard file and use Ch 3 More review paper Ch 3 Test Chapters 2-3 Comprehensive AP Test (Partner) 4.1 Extreme Values of a Function Deriver's License Quiz SmartBoard Lesson Parent-Teacher Conferences 5 – 8 p.m. Objectives: Students will be able to determine relative and absolute values of a function. October 19 October 20 October 21 October 22 Finish 4.1 Finish 4.2 4.3 Connecting f' and f'' with the Graph of f Review 4.2 Mean Value Theorem MVT WS SmartBoard Lesson Parent-Teacher Conferences 5 – 8 p.m. SmartBoard Lesson Objectives: Students will be able to use the First and Second Derivative Tests to determine the local extreme values of a function, determine the concavity of a function and locate the points of inflection by analyzing the second derivative, graph f using information about f’. Objectives: Students will be able to apply the MVT and determine intervals upon which a function is increasing/decreasing. Mean Value Theorem In Class Activity October 23 Teacher Exchange Day – NO SCHOOL End of 1st Nine Weeks October 26 October 27 October 28 October 29 October 30 Review 4.1-4.3 Test 4.4 Modeling and Optimization 4.1-4.3 AP Problems Review 4.4 Group Work SmartBoard Lesson Objectives: Students will be able to solve applications problems involving finding minimum or maximum values of functions. Differentiated Instruction Four groups based on ability – then each group rearranges to have an “expert” on each problem explain to their new group. Objectives: Students will be able to solve applications problems involving finding minimum or maximum values of functions. November 2 November 3 November 4 November 5 November 6 4.4 Quiz 4.5 Linearization and Newton's Method 4.5 Linearization and Newton's Method Work Day for 4.5 (Students have lots of questions.) 4.6 Related Rates SmartBoard Lesson SmartBoard Lesson Objectives: Students will be able to find linearizations and use Newton’s method to approximate the zeros of a function and estimate the change in a function using differentials. Objectives: Students will be able to find linearizations and use Newton’s method to approximate the zeros of a function and estimate the change in a function using differentials. Objectives: Students will be able to solve related rate problems. November 9 November 10 November 11 November 12 November 13 4.6 Differentiation Activity (Ability-based groups) Review – HW problems Partner Work Review Activity – Speed Dating 4.6 Quiz Assign 4.4-4.6 AP Problems Mods 4-6: (8:09-8:56) Veteran’s Day Assembly Objectives: Students will be able to solve related rate problems. November 16 November 17 November 18 November 19 November 20 Review Review Ch 4 Test Ch 2-4 Comp Partner Test 5.1 Estimating with Finite Sums Discovering Theorems (Rolle's & MVT) Objectives: Students will be able to approximate the area under the graph of a nonnegative continuous function by using rectangle approximation methods. Students will be able to interpret the area under a graph as a net accumulation of the rate of change. (SPEECH & DEBATE – 7 out) November 23 November 24 November 25 November 26 November 27 5.1 Estimating with Finite Sums 5.2 Definite Integrals Thanksgiving Break – NO SCHOOL Thanksgiving Break – NO SCHOOL Thanksgiving Break – NO SCHOOL Objectives: Students will be able to approximate the area under the graph of a nonnegative continuous function by using rectangle approximation methods. Students will be able to interpret the area under a graph as a net accumulation of the rate of change. (SPEECH & DEBATE – 7 out) Objectives: Students will be able to express the area under a curve as a definite integral and as a limit of Riemann sums and compute the area under a curve using a numerical integration procedure. November 30 December 1 December 2 December 3 December 4 Thanksgiving Break – NO SCHOOL 5.2 Definite Integrals Students will work on the 5.1-5.2 Review. Review 5.1-5.2 Quiz Matching Activity (In plastic drawers near filing cabinets – if time) There is a 5.1-5.2 More Review electronic file that can be used for extra practice on white boards, etc. Objectives: Students will be able to express the area under a curve as a definite integral and as a limit of Riemann sums and compute the area under a curve using a numerical integration procedure. MODEL UN – 5 out December 7 December 8 December 9 December 10 December 11 5.3 Definite Integrals and Antiderivatives Review Review 5.3 Quiz 5.4 Fundamental Theorem of Calculus & 5.3 ICE (In class exercises) Objectives: Students will be able to apply the FTC and understand the relationship between the derivative and the definite integral as expressed in both parts of the FTC. Objectives: Students will be able to apply rules for definite integrals and find the average value of a function over a closed interval. December 14 December 15 December 16 December 17 5.4 Fundamental Theorem of Calculus Students will work on the 5.3-5.4 Review. Review 5.3-5.4 Quiz December 18 December 21 Christmas Break – NO SCHOOL December 22 Christmas Break – NO SCHOOL December 23 Christmas Break – NO SCHOOL December 24 Christmas Break – NO SCHOOL December 25 Christmas Break – NO SCHOOL December 28 Christmas Break – NO SCHOOL December 29 Christmas Break – NO SCHOOL December 30 Christmas Break – NO SCHOOL December 31 Christmas Break – NO SCHOOL January 1 Christmas Break – NO SCHOOL Choir – 4 out Objectives: Students will be able to apply the FTC and understand the relationship between the derivative and the definite integral as expressed in both parts of the FTC. January 4 January 5 January 6 January 7 January 8 Review for Midterm Review for Midterm Review for Midterm Review for Midterm Dominoes (In plastic drawers) Midterm Exam January 11 January 12 January 13 January 14 5.5 Trapezoidal Rule Review Review Review January 15 PD – NO SCHOOL More Review is located in the electronic midterm folder. Objectives: Students will be able to approximate the definite integral by using the Trapezoidal Rule and by using Simpson’s Rule, and estimate the error in both rules. January 18 MLK Day – NO SCHOOL End of 2nd Nine Weeks January 19 January 20 January 21 January 22 Meinke Returns! Review Chapter 5 Test Students will work in pairs to finish and perfect the Ch 2-4 Comp Test. Review Extra Time: Review January 25 January 26 January 27 January 28 January 29 4 Stations 5.1-5.3 AP Problems 5.4-5.5 AP Problems 2 – Free Response Problems (2005B #4,5) Comprehensive AP Partner Test (2 – 5) 6.1 Slope Fields and Euler's Method Continue 6.1 Finish 6.1 SmartBoard Lesson Objectives: Students will be able to: a.) construct antiderivatives using the Fundamental Theorem of Calculus. b.) find antiderivatives of polynomials, exponential, and selected trigonometric functions of kx, as well as linear combinations of these functions. c.) solve initial value problems. d.) construct slope fields using technology and interpret slope fields as visualizations of differential equations. Students will work in pairs for the: Slope Field Matching Game & 2005 Free Response Question #6 February 1 February 2 February 3 February 4 February 5 6.2 Antidifferentiation by Substitution 6.2 Antidifferentiation by Substitution Review Examples in binder 6.2 Quiz 6.3 Integration by Parts SmartBoard Lesson SmartBoard Lesson 6.2 Work Day Objectives: Students will be able to compute indefinite and definite integrals by the method of substitution and solve a differential equation by separating the variables. Objectives: Students will be able to compute indefinite and definite integrals by the method of substitution and solve a differential equation by separating the variables. February 8 February 9 February 10 February 11 February 12 6.3 Integration by Parts Review 6.3 Quiz 6.4 Exponential Growth and Decay 6.5 Logistic Growth Indefinite Integration WS Students will work on the AP Review WS following the quiz. Objectives: Students will be able to use integration by parts to evaluate indefinite and definite integrals and use tabular integration or the method of solving for the unknown integral in order to evaluate integrals that require repeated use integration by parts. February 15 Teacher Exchange Day – NO SCHOOL Students will work on the 2006(B) Free Response Questions #2 & 5. Objectives: Students will be able to solve problems involving exponential growth and decay in a variety of applications. Objectives: Students will be able to use integration by parts to evaluate indefinite and definite integrals and use tabular integration or the method of solving for the unknown integral in order to evaluate integrals that require repeated use integration by parts. Objectives: Students will be able to solve problems involving exponential or logistic population growth. Parent-Teacher Conferences 5 –8 p.m. Parent-Teacher Conferences 5 –8 p.m. February 16 February 17 February 18 February 19 6.1-6.5 AP Problems Review Review Ch 6 Test February 22 February 23 February 24 February 25 February 26 February 29 March 1 March 2 March 3 March 4 March 7 March 8 March 9 March 10 March 11 March 14 March 15 March 16 March 17 March 18 End of 3rd Nine Weeks March 21 March 22 March 23 March 24 March 25 SPRING BREAK SPRING BREAK SPRING BREAK SPRING BREAK SPRING BREAK – NO SCHOOL – NO SCHOOL – NO SCHOOL – NO SCHOOL – NO SCHOOL March 28 March 29 March 30 March 31 April 1 April 4 April 5 April 6 April 7 April 8 April 11 April 12 April 13 April 14 April 15 April 18 April 19 April 20 April 21 April 22 April 25 April 26 April 27 April 28 April 29 May 2 May 3 May 4 May 5 May 6 May 9 May 10 May 11 May 12 May 13 May 16 May 17 May 18 May 19 May 20 May 23 May 24 May 25 May 26 May 27 Last Day for Students End of 4th Nine Weeks May 30 Memorial Day – NO SCHOOL May 31 Last Day for Teachers