IB MATHEMATICS (SL), Yr 1
PACING SCHEDULE for Sept 2004 - May 2005

Topic 1a: Functions and Equations

Pre-Assessment EXAM ... Data TBA

Number Systems: Natural numbers(), integers(), rationals, and complex numbers () as subsets of the real numbers (). These are Prerequisite topics and will be reinforced throughout.
Day 1: Functions: § 1.2, p. 75, Exercises # 11, 12, 19-39 odd, 40, & 43

Day 2: Linear Functions and their Graphs: § 1.3, p. 91 Exercises # 9-17 odd, 23-41 odd, 61-64 all, 76
Day 3: Piecewise-Defined Functions: § 1.5, p. 117 Exercises # 41-46 all

& "Piecewise Defined Functions" WORKSHEET.

Day 4: Supplemental packet: "Staircase Functions."
Day 5: QUIZ (on all material to date, except "Staircase Functions")
Day 6: Quadratic Functions: § 2.2, p. 155-156 Exercises # 3-15 (multiples of 3), 16, 21, 23
Day 7: § 2.2, p. 156 Exercises # 33, 39, 45, 47, 51, 53, 54, 65, 68

Day 8-10: PORTFOLIO PROJECT - Investigating the Quadratic Function

Pacing = 3 days … we will do this Portfolio Project together to demonstrate the style of work you will be expected to do independently on all subsequent portfolio assignments. [Due date TBA.]

Day 11: Solving Absolute Value and Radical Equations and Inequalities:

§ 2.3, p. 167-168 Exercises # 1-13 odd, 29-45 odd

Day 12: Function Compositions: § 2.4, p. 179-180 Exercises # 1-9 odd, 15-35 odd, 39, 40
Day 13: QUIZ (on § 2.2-2.4)
Day 14: Shifting and Reflection of Graphs: § 2.6, p. 197-198 Exercises # 1-15 odd, 25-31 odd
Day 15: § 2.6, p. 198 Exercises # 33-37 odd, 51-57 odd

Day 16: Function Inverses: § 2.7, p. 204-205 Exercises # 1-7 odd, 17-23 odd
Day 17: TEST (on all material to date)

[ Back to TOP ]

Topic 1b: Polynomial Functions

Day 1: Quadratic Functions: § 3.1, p. 220-223 Exercises # 3, 6, 12-54 (multiples of 3), 65, 72, 73
Day 2: Higher Degree Polynomials: § 3.2, p. 233-235 Exercises # 3-27 (multiples of 3),

35-40 all, 45-57 (multiples of 3)

Day 3: WORKSHEET: Pascal's Triangle and the Binomial Expansion Theorem.
Day 4: Find Real Zeros of Polynomial Function: § 3.3, p. 246 Exercises # 3-18 (multiples of 3), 31, 33, 36
Day 5: Rational Zeros Test: § 3.4, p. 260 Exercises # 31-47 odd
Day 6: QUIZ - § 3.2-3.3
Day 7: Complex Numbers: § 3.5, p. 268 Exercises # 3-27 (mult. of 3), 39-48 (multiples of 3), 55, 57

Day 8: Fundamental Theorem of Algebra: § 3.6, p. 276 Exercises # 13-31 odd

Day 9: Supplemental packet: "Solving Non-Linear Inequalities"

Day 10: TEST

[ Back to TOP ]

Topic 1c: Exponential and Logarithmic Functions

Exponential Functions
HANDOUTS: Notes - Properties of Exponential & Logarithmic Functions
Day 1: § 4.1, p. 294 Exercises # 1-24 odd
Day 2: § 4.1, p. 294 Exercises # 25-45 odd, & 46
Day 3: WORKSHEET: Exponential Decay and Growth, Part I - Population Growth

and the Graphing Calculator; § 4.1, p. 295 Exercises # 49-54 ALL, 57, & 58

Logarithmic Functions
HANDOUT: Graphing Exponential and Logarithmic Functions
Day 4: § 4.2, p. 307 Exercises # 1-30 ALL
Day 5: § 4.2, p. 308 Exercises # 31-49 odd
Day 6: QUIZ - § 4.1-4.2

Solve Exponential and Logarithmic Equations & Properties of Exponents and Logarithms
Day 7: § 4.3, p. 316 Exercises # 1-23 odd
Day 8: § 4.3, p. 317 Exercises # 25-61 odd

§ 4.4 More Equation Solving and Applications
Day 9: § 4.4, p. 326 Exercises # 1-25 odd
Day 10: § 4.4, p. 326 Exercises # 27-47 odd, 48, & 49
Day 11: WORKSHEET: Exponential Decay and Growth, Part II - Exponential Growth / Decay

Models of the form Q(t) = Ce^kt

Day 12: QUIZ - § 4.3-4.4

Interest and Annuities
Day 13: § 4.5, p. 340 Exercises # 1-8 all, 9-15 odd
Day 14: § 4.5, p. 340 Exercises # 17, 18, 19, 24, 28, 29, 30, 36

Day 15: TEST - Chapter 4

PORTFOLIO PROJECT - Decibel Scale - Type II

(This portfolio will be done as practice, to learn the portfolio "approach" and standards.)

[ Back to TOP ]

Topic 1d: Rational Functions

Rational Functions and Asymptotes [Click to see Hyperbola Tower.]
Day 1: HANDOUT: Rational Expressions Review WORKSHEET
Day 2: HANDOUT: Exploration § 5.1A - Vertical Asymptotes
Day 3: HANDOUT: Exploration § 5.1B - Horizontal Asymptotes; Also: § 5.1, p. 355 # 11-18 ALL
Day 4: § 5.1, p.356 #19-39 odd

Graphs of Rational Functions, n < m or n = m
Notes: Basics of Rational Function Graphs
Day 5: § 5.2, p. 363, # 5-12 ALL

Graphs of Rational Functions, n > m
Day 6: § 5.3, p. 371, # 1, 2, 3-9 odd, 19-25 odd
Day 7: § 5.3, p. 373, # 32-35 ALL

Solving Rational Equations
Day 8: § 5.4, p.380, # 1-13 odd

Partial Fractions
Day 9: § 5.5, p. 387, # 1-8 ALL
Day 10: TEST

MIDYEAR EXAM

[ Back to TOP ]

Topic 2a: Trigonometric Functions

Radians and Degrees, Length of an arc, area of a sector
Day 1: § 6.1, p. 399 # 1-32 ALL
Day 2: § 6.1, p. 399 # 33-56 ALL, 88, & 89
Day 3: QUIZ - § 6.1

The Unit Circle & Right Triangle Trigonometry
HANDOUTS: Fundamental Trigonometric Identities, Given a fixed angle, Memorizing the Special Angle Ratios
Day 4: § 6.2, p. 412 # 1-17 odd
Day 5: § 6.2, p. 412 # 19-57 odd
Day 6: § 6.2, p. 412 # 67-79 odd, 81, 85, & 86

Day 7: Begin PROTFOLIO PROJECT: Investigating the Graphs of Sine Functions [Due date TBA.]
Day 8: QUIZ: Unit Circle # 1 - No Calculator allowed [Brief quiz … approx. 20 minutes]

Trigonometric Function of Any Angle
Day 9: § 6.3, p. 424 # 3-12 (by 3s), 17-27 odd
Day 10: § 6.3, p. 425 # 35-47 odd
Day 11: § 6.3, p. 425 # 49-67,73 odd
Day 12: QUIZ: Unit Circle # 2 - No Calculator allowed [Brief quiz … approx. 20 minutes];

HANDOUT: Graphing Sin(x) and Unit Circle in Parametric Mode

Day 13: QUIZ § 6.2-6.3

Graphs of Trigonometric Functions
Day 14: § 6.4, p. 438 # 1-15 odd; HANDOUT: Properties of Trig Functions
Day 15: § 6.4, p. 439 # 17-31 odd
Day 16: § 6.4, p. 439 # 33-39 odd, 45-53 odd
Day 17: WORKSHEET & NOTES: Tides & Sinusoids
Day 18: EXPLORATION: Sinusoidal Curves, a Pendulum, and the CBR

Graphs of Other Trigonometric Functions
Day 19: § 6.5, p. 448 # 5-11 odd, 13-16 ALL
Day 20: § 6.5, p. 448 # 17-31 odd, 39-43 odd

Day 21: QUIZ § 6.4-6.5

Day 22: TEST - Mid-Chapter 6, § 6.1-6.5

Advanced Trigonometric Functions
Day 23: § 6.6, p. 456 # 7-11 odd, 23-26 ALL; Show graphically that
Day 24: § 6.6, p. 456 # 34-42 even (with WinPlot software)

Inverse Trigonometric Functions
Day 25: § 6.7, p. 465 # 1-22 ALL
Day 26: § 6.7, p. 465 # 23-40 ALL
Applications of Trigonometric Functions
Day 26: § 6.7, p. 465 # 23-40 all

Applications of Trigonometric Functions
Day 27: § 6.8, p. 473 # 1, 3, 5, 6, & 8; § 6.8 WORKSHEET - Sinusoids and Regression Equations;

HANDOUT: Misleading Graphs (sin (ln x) )

Day 28: TEST: Chapter 6: § 6.1-6.8

[ Back to TOP ]

Topic 2b: Analytic Trigonometry

The Use of Fundamental Identities
Day 1: § 7.1, p. 487 # 1-23 odd
Day 2: § 7.1, p. 488 # 25-43 odd

Confirming Trigonometric Identities
Day 3 & 4: § 7.2, p. 493 # 1, 3, 8-16 even, 28, & 30
Day 5: QUIZ: § 7.1-7.2

Solving Trigonometric Equations
Day 6: § 7.3, p. 502 # 1-17 odd
Day 7: § 7.3, p. 502 # 19, 21, 25, 27, 33-39 odd
Day 8: § 7.3, p. 502 # 43-49 odd, 50, & 53

Double-Angle Identities
Day 9: § 7.5, p. 518 # 5, 7, 9, 11, 15, 23, & 27; Video - Sines & Cosines - Part II

Solving Triangles using the Law of Sines
Day 10: § 8.1, p. 531 # 1-11 odd; HANDOUT: Law of Sines - Two Possible Triangles
Day 11: § 8.1, p. 531 # 13-21 odd, & 37

Solving Triangles using the Law of Cosines
Day 12: § 8.2, p. 541 # 1-11 odd
Day 13: § 8.2, p. 541 # 17, 19, & 35 and WORKSHEET: Area of a Triangle by a Trigonometry Formula

Day 14: QUIZ: § 8.1-8.2

Day 15: TEST: "Analytic Trigonometry" § 7.1, 2, 3, 5, § 8.1-8.2

[ Back to TOP ]

Topic 3: Matrices

Review of Solving Systems of Equations by Algebraic Methods
Day 1: Notes - Linear Equations Review, Systems of Equations (with assignment).
Day 2: Complete day 1 work.

Matrices (Review from Algebra 2)
Day 3: Notes - Matrices and the GDC; Matrices Review packet.
Day 4: Complete day 3 work.

[ Back to TOP ]

Topic 4: Vectors

Day 1: Vectors for IB Math SL Packet - Sections 1 [Definitions and Terminology] & 2 [Vector Addition].
Day 2: Vectors for IB Math SL Packet - Section 3 [Scalar Multiplication; Direction of Vectors].
Day 3: Vectors for IB Math SL Packet - Section 4

[Dot Products, Scalar Products, Angles Between Vectors].

Day 4: Vectors for IB Math SL Packet - Section 5 [Vector Equations of Lines].
Day 5: Vectors for IB Math SL Packet - Section 6 [Vectors in Three-Dimensions].
Day 6: Worksheet: IB-Style Vector Problems.
Day 7: QUIZ [Students are allowed one sheet of notes (single-sided, no larger than 8.5"x11").]

[ Back to TOP ]

Topic 5: Probability

Day 1: [NOTES: Probability Notes] WORKSHEET-Probability-1 (Simple Probabilities); WORKSHEET-Probability-2 (Probability, Set Language, and Venn Diagrams)
Day 2: WORKSHEET -Probability-3 (Cumulative Frequency and Probability with
Venn Diagrams)
Day 3: Probability, Steroid Testing, & Baseball: A Conditional Probability Exercise;
§ 11.5 (Combinatorics: Combinations and Permutations), p. 742 # 1-29 odd; WORKSHEET: Pascal's Triangle & Probability
Day 4: WORKSHEET -Probability-4 (Conditional Probability)
Day 5: NOTES: [Displaying Data Notes; Displaying Data Notes-Descriptive Stats & the TI83, WORKSHEET - Normal Distribution]; WORKSHEET-Probability-5-Calculating Standard Deviation and other Measures of Spread (including Cumulative Frequency)
Day 6: Complete the following:

(1) Use data table 11.7 from your text (p. 767) to create a circle graph of the monies spent by the US federal government during fiscal year 1993. (2) Use data table 11.23 from your text (p. 778) to find the following information about the populations of South American nations (use only the LAST column and present your answers with 3-significant figure accuracy): mean; standard deviation (sx); 5-number summary (min, Q1, med, Q3, and max). Also, create a modified box-and-whisker plot of the data. Name any countries found to be "outliers."

Day 7: WORKSHEET: Cumulative Frequency for IB Exams
To be assigned at start of senior year: PORTFOLIO: Transforming Data [Due one week after start of project.]
Day 8: TEST

[ Back to TOP ]

Topic 6: Sequences & Series [IB Curriculum Topic 1, Algebra]

Day 1: Sequences & Series for IB Math SL Packet - Sections 1 [Arithmetic Sequences].
Day 2: Sequences & Series for IB Math SL Packet - Sections 2 [Geometric Sequences].
Day 3: Sequences & Series for IB Math SL Packet - Sections 3 [Infinite Geometric Series].
Day 4: Sequences & Series for IB Math SL Packet - Sections 4 [Summation Notation].
Day 5: QUIZ [Students are allowed one sheet of notes (single-sided, no larger than 8.5"x11").]

FINAL EXAM.

[ Back to TOP ]

<<< Back to Mr. Whitney's Mathematics Home Page	Site Created & Maintained by
	Matthew C. Whitney