PHS 2014 -2015 School Calendar August 15 Teacher Work Day August 18 Teacher Convocation – NO SCHOOL August 19 First Day for Students -Intro to course -Book distribution -Pre Assessment (Limits) on white boards with partners -Assign homework from book (evens) August 25 August 20 2.1/2.2 Rates of Change and Limits, Limits Involving Infinity August 22 Review (1 mod) 2.1-2.2 Quiz 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 26 August 27 2.3 Continuity Warmup Problem #2continuity Group Discussion Bridge and Road August 21 Review August 28 Review August 29 NO SCHOOL September 4 September 5 2.4 Rates of Change and Tangent Lines Smartboard lesson Smartboard Lesson SLO Pre-Assessment 2.1-2.2 AP Problems – Students present September 1 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. September 2 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. September 3 Labor Day NO SCHOOL Review (1 mod) 2.3-2.4 Quiz Chapter 2 Test 3.1 Derivative of a Function 2.3-2.4 AP Problems – collect for points SmartBoard Lesson Matching Activity Review 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’. September 8 September 9 September 10 September 11 3.2 Differentiability Homework Questions? 3.3 Rules for Differentiation 3.1-3.3 AP Problems – Students present Review 3.1-3.2 Stations SmartBoard Lesson 3.3 ICE SmartBoard Lesson Objectives: Students will be able to determine right-hand and left-hand derivatives and determine whether a function is differentiable at a point. September 15 3.4 Velocity and Other Rates of Change SmartBoard Lesson Objectives: Students will be able to use derivatives to analyze straight-line motion and solve other problems involving rates of change. September 22 3.1-3.3 Quiz Objectives: Students will be able to use the rules for differentiation to find derivatives. September 16 3.4 Review WS and Catching a Bus Activity September 17 3.4 Quiz (Partner) Derivative Memorization Quiz #1 September 18 September 19 3.5 Derivatives of Trig Functions Review 3.5 SmartBoard Lesson Objectives: Students will be able to use the rules for differentiating the six basic trig functions. Objectives: Students will be able to use derivatives to analyze straight-line motion and solve other problems involving rates of change. September 23 September 24 September 25 3.6 Chain Rule Review Homework Review SmartBoard Lesson September 12 3.6 Quiz (1 mod) Derivative Memorization Quiz #2 (POP) September 26 3.5 Quiz September 29 3.7 Implicit Differentiation September 30 3.7 Homework Questions SmartBoard Lesson Objectives: Students will be able to find derivatives using implicit differentiation and find derivatives using the Power rule for Rational Powers of x. October 6 Derivative Memorization Quiz #4 (Exp/Logs) 3.4-3.6 AP Problems – Students present Derivative Bingo October 1 October 2 October 3 3.7 Partner Quiz (1 mod) 3.9 Derivatives of Exponential and Logarithmic Functions Derivative Memorization Quiz #3 (Trig Inverses) Objectives: Students will be able to differentiate composite functions using the Chain Rule and find slopes of parametrized curves. 3.8 Derivatives of Inverse Trig Functions Objectives: Students will be able to: calculate derivatives of functions involving the inverse trigonometric functions. October 7 3.7-3.9 AP Problems – Students Present Objectives: Students will be able to: calculate derivatives of exponential and logarithmic functions. Review (SUB) October 8 October 9 October 10 Derivative Memorization Quiz #5 Derivative Memorization Quiz #6 Ch 3 Test 3.8 – 3.9 Quiz Review Work on Ch 3 Review Parent-Teacher Conferences 5 – 8 p.m. Review for Quiz Review – Students work on 3.7-3.9 AP Problems Parent-Teacher Conferences 5 – 8 p.m. October 13 October 14 October 15 October 16 Parent-Teacher Conferences 8 – 3 p.m. NO SCHOOL Chapters 2-3 Comprehensive AP Test (Partner) Go over 3.7-3.9 AP Problems and review Comprehensive Test 4.1 Extreme Values of a Function October 17 4.2 Mean Value Theorem SmartBoard Lesson (SUB) SmartBoard Lesson Objectives: Students will be able to determine relative and absolute values of a function. 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 End of 1st Nine Weeks October 20 4.3 Connecting f' and f'' with the Graph of f October 21 Review October 22 Review – Do October 23 4.1-4.3 Test October 24 Employee Work extra review problem on SmartBoard file 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’. October 27 October 28 October 29 4.1-4.3 AP Problems – Students present 4.4 Modeling and Optimization 4.4 Group Work Randomly assign 2 problems to each group and have them present. 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. Day NO SCHOOL October 30 Review – Go over homework problems October 31 4.4 Quiz November 7 Objectives: Students will be able to solve applications problems involving finding minimum or maximum values of functions. November 3 November 4 November 5 November 6 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. November 10 Review – HW problems November 11 Review Activity – Speed Dating Objectives: Students will be able to solve related rate problems. 4.6 Differentiation Activity (Ability-based groups) Objectives: Students will be able to solve related rate problems. November 12 4.6 Quiz November 13 November 14 Discovering Theorems (Rolle's & MVT) Review 4.4-4.6 AP Problems – Work in groups November 17 Review November 18 Ch 4 Test November 19 Ch 2-4 Comp Partner Test November 20 November 21 5.1 Estimating with Finite Sums 5.1 Estimating with Finite Sums Objectives: 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. 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. November 26 Thanksgiving Break NO SCHOOL November 27 Thanksgiving Break NO SCHOOL November 28 Thanksgiving Break NO SCHOOL November 24 November 25 5.2 Definite Integrals 5.2 Definite Integrals 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. 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. December 1 Teacher Exchange Day NO SCHOOL December 2 December 3 December 4 December 5 Review Review 5.1-5.2 Quiz 5.3 Definite Integrals and Antiderivatives December 8 December 9 December 10 December 11 December 12 Review Review 5.3 Definite Integrals and Antiderivatives Review 5.3 Quiz (Model UN Trip) (Model UN Trip) December 17 Midterm December 18 Review – Calculus Dominoes December 25 Christmas Break NO SCHOOL January 1 Christmas Break December 26 Christmas Break NO SCHOOL January 2 Christmas Break Objectives: Students will be able to apply rules for definite integrals and find the average value of a function over a closed interval. Objectives: Students will be able to apply rules for definite integrals and find the average value of a function over a closed interval. December 15 December 16 December 16 Review for Midterm Review for Midterm Review for Midterm December 22 Christmas Break NO SCHOOL December 29 Christmas Break December 23 Christmas Break NO SCHOOL December 30 Christmas Break December 24 Christmas Break NO SCHOOL December 31 Christmas Break NO SCHOOL January 5 NO SCHOOL January 6 NO SCHOOL January 7 Review NO SCHOOL January 8 5.4 Fundamental Theorem of Calculus 5.4 Fundamental Theorem of Calculus 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 the FTC and understand the relationship between the derivative and the definite integral as expressed in both parts of the FTC. January 12 January 13 January 14 January 15 SNOW DAY Review 5.3-5.4 Quiz 5.5 Trapezoidal Rule SNOW DAY NO SCHOOL January 9 SNOW DAY End of 2nd Nine Weeks 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 22 January 16 Employee Work Day NO SCHOOL January 19 Martin Luther King Day NO School January 26 January 20 January 21 Review Review January 23 January 27 January 28 January 29 January 30 SNOW DAY 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 Finish 6.1 and begin HW Chapter 5 Test Review 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. February 2 February 3 February 4 February 5 February 6 Finish 6.1 6.2 Antidifferentiation by Substitution 6.2 Antidifferentiation by Substitution 6.2 Work Day 6.2 Quiz SmartBoard Lesson SmartBoard Lesson 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 13 Students will work in pairs for the: Slope Field Matching Game & 2005 Free Response Question #6 February 9 February 10 February 11 February 12 6.3 Integration by Parts 6.3 Integration by Parts 6.1-6.3 AP Problems 6.3 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. 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. 6.4 Exponential Growth and Decay Parent-Teacher Conferences 5-8 p.m. Objectives: Students will be able to solve problems involving exponential growth and decay in a variety of applications. Parent-Teacher Conferences 5-8 p.m. February 16 President’s Day NO SCHOOL February 17 February 18 February 19 6.5 Logistic Growth Review 6.4-6.5 AP Problems February 20 Review Objectives: Students will be able to solve problems involving exponential or logistic population growth. February 23 Ch 6 Test February 24 February 25 February 26 February 27 March 2 March 3 March 4 March 5 March 6 March 9 March 10 March 11 March 12 March 13 March 16 March 17 March 18 March 19 March 20 End of 3rd Nine Weeks March 23 2 hour delayed start March 24 March 25 March 26 March 27 March 30 Spring Break NO SCHOOL March 31 Spring Break NO SCHOOL April 1 Spring Break NO SCHOOL April 2 Spring Break NO SCHOOL April 3 Spring Break NO SCHOOL April 6 April 7 April 8 April 9 April 10 April 13 April 14 April 15 April 16 April 17 April 20 April 21 April 22 April 23 April 24 April 27 April 28 April 29 April 30 May 1 May 4 May 5 May 6 May 7 May 8 May 11 May 12 May 13 May 14 May 15 May 18 May 19 May 20 May 21 May 22 May 25 Memorial Day NO SCHOOL May 26 May 27 May 28 Last Day for Students End of 4th Nine Weeks May 29 June 1 Teacher Exchange Day NO SCHOOL