Content, Scope & Sequence
CONTENT, SCOPE & SEQUENCE
Course: PrecalculusCalculator used: TI-83, TI-83 Plus, TI 84 Plus June 2015
Textbook: Precalculus – Enhanced with Graphing Utilities
Michael Sullivan and Michael Sullivan, III
Pearson Education, Inc. (Pearson Prentiss Hall)
2006
CONTENT/TOPIC SEQUENCETIME IN DAYS
Review Packet: Appendix and Chapter 1 Graphs5
Introduction/Syllabus/Pass out textbooks (1 day)
A.1: Algebra Review(Independent-Packet)
A.2: Geometry Review (Independent-Packet)
A.5: Solving Equations (Independent-Packet)
1.1: Rectangular coordinates; Graphing Utilities (Independent-Packet)
1.2: Graphs of Equations in Two Variables (Independent-Packet)
1.3: Solving Equations in One Variable Using a Graphing Utility (Independent-Packet)
1.4: Lines (Independent-Packet)
Spaghetti Lab (2 days),Test (1 day)
Chapter 2Functions and Their Graphs17
A.8: Interval Notation; Solving Inequalities (1 day)
2.1: Functions (2 days)
2.2: The Graph of a Function (1 day)
2.3: Properties of a Function (1 day)
2.4: Linear Functions and Models (2 days)
Review (1 day), Quiz 2.1-2.4 (1 day)
2.5: Library of Functions; Piece-defined Functions (2 days)
2.6: Graphing Techniques: Transformations (2 days)
2.7: Mathematical Models: Construction Functions (2 days)
Review (1 day), Test (1 day), Cumulative Review Chap. 1-2(Independent)
Chapter 3Polynomial and Rational Functions19
A.3 Polynomials and Rational Expressions (Independent- Packet)
A.4 Polynomial Division; Synthetic Division (Independent- Packet)
A.6 Complex Numbers; Quadratic Equations in the Complex System (Independent- Packet)
3.1: Quadratic Functions and Models (3 days)
3.2: Polynomial Functions and Models (2 days)
3.3: Properties of Rational Functions (1 day)
3.4: The Graph of a Rational Function: Inverse and Joint Variation (2 days)
Review (1 day), Quiz 3.1-3.4 (1 day)
3.5: Polynomial and Rational Inequalities (2 days)
3.6: The Real Zeros of a Polynomial Function (2 days)
3.7: Complex Zeros: Fundamental theorem of Algebra (1 day)
Review (1 day), Test (1 day), Pollen Lab (2 days)
END OF MARKING PERIOD 1
Chapter 4 Exponential and Logarithmic Functions16 A.7: Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate (Independent- Packet)
A.9: Nth Roots; Rational Exponents; Radical Equations (Independent- Packet)
4.1: Composite Functions (1 day)
4.2: One-to-One Functions; Inverse Functions (1 day)
4.3: Logarithmic Functions (1 day)
4.4: Exponential Functions (1 day)
4.5: Properties of Logarithms (1 day)
Review (1 day), Quiz 4.1-4.5 (1 day)
4.6: Logarithmic and Exponential Equations (1 day)
4.7: Compound Interest (2 days)
4.8: Exponential Growth and Decay; Logistic Growth and Decay (2 days)
4.9: Building Exponential, Logarithmic and Logistic Models from Data (1 day)
Review (1 day), Test (day 1 non word problems, day 2 word problems)
Cumulative Review Chap. 1-4 (Independent)
Chapter 5Trigonometric Functions17
Review of solving right triangles using trig ratios and special right triangles (1)
5.1: Angles and Their Measure (1 day)
5.2: Trigonometric Functions: Unit Circle Approach (2 days)
5.3: Properties of Trigonometric Functions (1 day)
Review (1 day), Quiz 5.1-5.3 (1 day)
5.4: Graphs of the Sine and Cosine Functions (1 day)
5.5: Graphs of the Tangent, Cotangent, Secant and Cosecant Functions (2 days)
5.6: Phase Shift; Sinusoidal Curve Fitting (3 days)
Review(1 day), Test (1 day)
Surfing Lab (2 days)
Midterm Review, Midterm (Chapters 1-5) 3
END OF MARKING PERIOD 2
Chapter 6Analytic Trigonometry18
6.1: The Inverse Sine, Cosine, and Tangent Functions (2 days)
6.2: The Inverse Trig Functions (continued) (1 day)
Extra Practice 6.1 and 6.2 (1 day)
6.3: Trigonometric Identities (3 days)
6.4: Sum and Difference Formulas (2 days)
Review 6.1-6.4 (1 day), Quiz 6.1-6.4 (1 day)
6.5: Double-angle and Half-angle Formulas (2 days)
6.6: Skip
6.7: Trigonometric Equations (I) (1 day)
6.8: Trigonometric Equations (II) (2 days)
Review (1 day), Test (1 day), Cumulative Review Chap. 1-6
Chapter 7Applications of Trigonometric Functions9
7.1: Right Triangle Trigonometry and Applications (1 day)
7.2: The Law of Sines (1 day)
7.3: The Law of Cosines (1 day)
7.4: Area of a Triangle (1 day)
7.5: Skip
Applications of 7.1-7.4 (1 day)
Review (1 day), Test (1 day), Lab (2 days)
Chapter 8Polar Coordinates9
8.1: Polar coordinates (2 days)
8.2: Polar Equations and Graphs (2 days)
8.3: The complex Plane; DeMoivre’s Theorem (2 days)
8.4-8.7: Skip
Review 8.1-8.3 (2 days), “Quest” 8.1-8.3 (1 day)
Cumulative Review Chap. 1-8 (Independent)
END OF MARKING PERIOD 3
Chapter 9Analytic Geometry15
9.1: Conics (include with section 1.5)
1.5: Circles (1 day)
9.2: Parabolas (2 days)
9.3: Ellipses (2 days)
Review (1 day), Quiz 9.1-9.3 (1 day)
9.4: Hyperbolas (2 days)
9.5: Rotation of Axes; General Form of a Conic (2 days)
9.6, 9.7: Skip
Review (1 day), Test (1 day), Lab (2 days)
Chapter 10Systems of Equations and Inequalities16 10.1: Systems of Equations: Substitution and Elimination (1 day non word problems)
10.2: Systems of Equations: Matrices (1 day non word problems)
Word Problems from sections 10.1 and 10.2 (1 day)
10.3: Systems of Equations: Determinants (1 day)
10.4: Matrix Algebra (1day)
Review 10.1-10.4 (1 day), Quiz 10.1-10.4 (1 day)
10.5: Partial Fraction Decomposition (2 days)
10.6: Systems of Non-linear Equations (2 days)
10.7: Systems of Inequalities (1 day)
10.8: Linear Programming (2 days)
Review (1 day), Test (1 day), Cumulative Review Chap. 1-10
Chapter 11 Sequences; Induction; the Binomial Theorem9
11.1: Sequences (1 day)
11.2: Arithmetic Sequences (1 day)
11.3: Geometric Sequences (1 days)
11.4: Mathematical Induction (1-2 days)
11.5: The Binomial Theorem (1-2 days)
Review (1 day), Quest (1 day)
Final Review, Final (Chapters 6-11) 3
END OF MARKING PERIOD 4
Additional Topics (if time permits)
8.4: Vectors 8.7: The Cross Product
8.5: The Dot Product 9.6: Polar Equations of Conics
8.6: Vectors in space 9.7: Plane curves and Parametric Equations
Chapter 12: Counting and Probability
Chapter 13: A Preview of Calculus