PRE-CALCULUS PACING GUIDE Day 1 - (26 Aug) Lesson 1.1, Functions Day 2 - (27 Aug) Lesson 1.2, Graphs of Functions Day 3 - (28 Aug) Lesson 1.3, Shifting, Reflecting and Stretching Graphs Day 4 � (29 Aug) Lesson 1.4, Combination of Functions and Quiz Day 5 � (2 Sep) Lesson 1.5, Inverse Functions Day 6 � (3 Sep) Review Day 7 � (4 Sep) Practice Quiz and Project #1 Day 8 � (5 Sep) NO SCHOOL Day 9 - (8 Sep) Chapter One Exam & Lesson 4.1, Radian and Degree Measure Day 10 � (9 Sep) Lesson 4.2, Trig Functions, The Unit Circle Day 11 - (10 Sep) Lesson 4.3, Right Triangle Trigonometry Day 12 - (11 Sep) Lesson 4.4, Trigonometric Functions of Any Angle Day 13 - (12 Sep) Review and Practice Quiz Day 14 � (15 Sep) Review & Quiz Day 15 � (16 Sep) Lesson 4.5, Graphs of Sine and Cosine Function Day 16 � (17 Sep) Lesson 4.6, Graphs of Other Trig Functions Day 17 � (18 Sep) Lesson 4.7, Inverse Trig Functions Day 18 � (19 Sep) Lesson 4.8, Applications and Models Day 19 � (22 Sep) Lesson 4.8 continued Day 20 � (23 Sep) Review Day 21 � (24 Sep) Review continued, Project & Interim Rpt Day 22 � (25 Sep) Exam Day 23 � (26 Sep) Lesson 5.1, Using Fundamental Identities Day 24 � (29 Sep) Lesson 5.2, Verifying Trig Identities Day 25 � (30 Sep) Lesson 5.2, continued Day 26 � (1 Oct) Lesson 5.3, Solving Trig Equations Day 27 � (2 Oct) Review and Quiz Day 28 � (3 Oct) Lesson 5.3 continued Day 29 - (6 Oct) Lesson 5.4, Sum and Difference Formulas Day 30 - (7 Oct) Lesson 5.5, Multiple-Angle and Product-Sum Formulas Day 31 - (8 Oct) Review and Project Day 32 - (9 Oct) Extra Day for HW, Project, and Tutoring Day 33 � (10 Oct) Exam Day 34 - (13 Oct) Lesson 6.1, Law of Sines Day 35 - (14 Oct) Lesson 6.2, Law of Cosines Day 36 � (15 Oct) PSAT Exam Day 37 - (16 Oct) Lesson 6.3, Vectors in the Plane, Part I Day 38 - (17 Oct) Extra Day for HW, Programming Calculator, & Tutoring Day 39 - (20 Oct) Lesson 6.3, Part II Day 40 - (21 Oct) Lesson 6.4, Vectors and Dot Products Day 41 - (22 Oct) Review Day 42 - (23 Oct) Review Day 43 - (24 Oct) Exam Day 44 - (27 Oct) Project #6 Day 45 - (28 Oct) Project #6 Day 46 - (29 Oct) Midterm Review Day 47 - (30 Oct) Midterm Review Day 48 - (31 Oct) Midterm Exam Day 49 - (5 Nov) Lesson 2.1 Quadratic Day 50 - (6 Nov) Lesson 2.2 Polynomial Functions Day 51 - (7 Nov) Lesson 2.3 Real Zeros Day 52 - (10 Nov) Lesson 2.4, Complex Numbers Day 53 - (12 Nov) Quiz Day 54 - (13 Nov) Lesson 2.5, FTOA Day 55 - (14 Nov) Lesson 2.6, & Rational Funcs and Asymptotes Day 56 - (17 Nov) Review Day 57 - (18 Nov) Review Day 58 - (19 Nov) Exam and Project Due Day 59 - (20 Nov) Lessons 3.1 & 3.2 Exponential & Log Functions Day 60 � (21 Nov) Lessons 3.3 & 3.4, Exp & Log continued Day 61 - (24 Nov) Lessons 3.5 Applications & Review Day 62 - (25 Nov) Exam Day XX - (26 Nov) Project #3 Assigned Day 63 - (1 Dec) Lesson 9.1, Sequences and Series Day 64 - (2 Dec) Lesson 9.2, Arithmetic Sequences and Partial Sums Day 65 - (3 Dec) Lesson 9.3, Geometric Sequences and Series Day 66 - (4 Dec) Review and Quiz Day 67 � (5 Dec) Lesson 9.5, The Binomial Theorem Day 68 � (8 Dec) Lesson 9.6, Counting Principles Day 69 - (9 Dec) Lesson 9.7, Probability Day 70 � (10 Dec) Review & Interim Report Day 71 � (11 Dec) Exam & Project #9 Assigned Day 72 - (12 Dec) Lessons 10.1, 10.2 & 10.3, Circles, Parabolas, Ellipses & Hyperbolas Day 73 - (15 Dec) Lesson 10.5, Parametric Equations Day 74 - (16 Dec) Lesson 10.6, Polar Coordinates & Project #3 Due Day 75 - (17 Dec) Lesson 10.7, Graphs of Polar Equations Day 76 � (18 Dec) Review Day 77 - (19 Dec) Exam Day 78 � (5 Jan) Lesson 12.1, Introduction to Limits Day 79 - (6 Jan) Lesson 12.2, Techniques for Evaluating Limits Day 80 - (7 Jan) Lesson 12.3, The Tangent Line Problem Day 81 - (8 Jan) Lesson 12.4, Limits at Infinity and Limits of Sequences Day 82 - (9 Jan) Operational Pause Day 83 - (12 Jan) Lesson 12.5, The Area Problem Day 84 - (13 Jan) Review & Project #9 Due Day 85 - (14 Jan) Exam Day 86 - (15 Jan) Mock Final Exam Day 87 - (16 Jan) Mock Final Exam Day 88 - (20 Jan) Final Exam Period 3 Day 89 - (21 Jan) ***Final Exam Period 2*** Day 90 - (22 Jan) Final Exam Period 1 Day 91 - (23 Jan) Final Exam Period 4 ----------------------------------------------------------------------- NC Standard Course of Study NUMBERS AND OPERATIONS Competency Goal 1. The learner will describe geometric figures in the coordinate plane algebraically. Objectives 1.01 Transform relations in two dimensions; describe the results algebraically and geometrically. (1.3) 1.02 Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results. (10.1, 10.2, & 10.3) a. Solve using tables, graphs, and algebraic properties. b. Interpret the constants and coefficients in the context of the problem. 1.03 Operate with vectors in two dimensions to model and solve problems. (6.3 & 6.4) Geometry and Measurement Competency Goal 2. The learner will use relations and functions to solve problems. Objectives 2.01 Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results. (2.1, 2.2, 2.3, 2.5, 2.6, 2.7, 3.1, 3.2, 3.3, 3.4, & 3.5) a. Solve using graphs and algebraic properties. b. Interpret the constants, coefficients, and bases in the context of the problem. 2.02 Use trigonometric and inverse trigonometric functions to model and solve problems; justify results.(4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 5.1, 5.2, 5.3, 5.4, 5.5, 6.1, 6.2, & 6.5) a. Solve using graphs and algebraic properties. b. Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts. c. Develop and use the law of sines and the law of cosines. 2.03 For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions. (Chap 1 Project, 3.5, 4.8, Chap 4 Project, & Chap 5 Project) a. Interpret the constants, coefficients, and bases in the context of the data. b. Check models for goodness-of-fit; use the most appropriate model to draw conclusions or make predictions. 2.04 Use the composition and inverse of functions to model and solve problems. (1.4, & 1.5) 2.05 Use polar equations to model and solve problems. (10.6, 10.7, & 10.8) a. Solve using graphs and algebraic properties. b. Interpret the constants and coefficients in the context of the problem. 2.06 Use parametric equations to model and solve problems. (10.5) 2.07 Use recursively-defined functions to model and solve problems.(9.1, 9.2, 9.3, & 12.4) a. Find the sum of a finite sequence. b. Find the sum of an infinite sequence. c. Determine whether a given series converges or diverges. d. Translate between recursive and explicit representations. 2.08 Explore the limit of a function graphically, numerically, and algebraically. (12.1, 12.2, 12.3, 12.4, & 12.5)