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
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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)
