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Math Analysis/Pre-Calculus

Prerequisite requirement: Students must have successfully completed both semesters of Algebra 2.

Course Description: Math Analysis will be building on your understanding of mathematical problem solving, which was developed in Algebra, Geometry, and Algebra 2. We will explore many types of functions in preparation for future success in Calculus and in college math courses. Topics of polynomial, exponential, logarithmic, and trigonometric functions will be emphasized. Your study of Math Analysis will help you organize your thoughts and solve problems that people meet every day. This is a course that needs your full attention and commitment.

 

Date
Class Activities & Assignments
Thur. 9/4
  • Welcome back!
  • Discuss course syllabus
  • Introduction to point-slope form: What is it? When do we use it?
  • Team problems: IM-5 to 8, 16 to 18
  • Individual problems: IM-11 to 15, 21 to 25, signature
Mon. 9/8
  • Review: Laws of exponents
  • Shifting graphs: What changes in the equation?
  • Team problems: IM-26 to 31, 34 to 41
  • Individual problems: IM-42 to 48
Wed. 9/10
  • Practice problems
  • Lines of best fit on the calculator: Median-Median lines and Linear Regressions
  • Team problems: IM-49, 50, 52, 53, 62
  • Individual problems: IM-57 to 61, 66 to 69
Fri. 9/12
  • Parent graph practice
  • Exploring Exponentials
  • Team problems: IM-63 to 65, 76 to 82
  • Individual problems: IM-83, 84, 88 to 92
Tues. 9/16
  • Turn in Unit 1 assignment packet A
  • Unit 1 Quiz
  • Team problems: Unit 1 Review #1
  • Individual problems: Unit 1 Review #2
Thur. 9/18
  • Exponential functions and half-life problems
  • Team problems: IM-85 to 87, 93 to 98
  • Individual problems: IM-99 to 106
Tues. 9/23
  • More work with exponentials
  • Understanding the graphical relationship between inverses
  • Team problems: IM-107 to 114, 128, 129
  • Individual problems: IM-116 to 125
Thur. 9/25
  • Programming the graphing calculator: The Quadratic Formula
  • Reviewing exponential and transformations
  • Team problems: IM-126, 130, 131, 141 to 145
  • Individual problems: IM-132 to 139
Mon. 9/29
  • Unit 1 Team Test
  • Team problems: Unit 1 Team Test
  • Individual problems: IM-147 to 150, 153 to 157
Wed. 10/1
  • Turn in Unit 1 assignment packet B
  • Unit 1 Individual Test
  • Team problems: none
  • Individual problems: RL-8 to 13
Fri. 10/3
  • Introduction to Unit 2: RL
  • Discussion: Piecewise-defined functions
  • Team problems: RL-1
  • Individual problems: RL-3 to 5, 22 to 26
Tues. 10/7
  • Transforming functions
  • Tool kit entry: Summation notation
  • Team problems: RL-14 to 20, 29
  • Individual problems: RL-30, 38 to 42, 44, 45
Thur. 10/9
  • Complex numbers
  • Modification of the Quadratic Formula program on graphing calculator
  • Team problems: RL-31, 43, 35 to 37, summation notation practice worksheet
  • Individual problems: RL-52 to 61
Tues. 10/14
  • Programming summations
  • Finding area under functions
  • Team problems: RL-48 to 51, 62 to 67
  • Individual problems: RL-70 to 78
Thur. 10/16
  • Finding area under curves: What strategy did you use?
  • Rewriting series as summations
  • Team problems: RL-79 to 84, 97
  • Individual problems: RL-88 to 96
  • Unit 2 Quiz next class!
Mon. 10/20
  • Estimating Area Using Rectangles
  • Summation notation for area
  • Unit 2 Quiz
  • Team problems: RL-98 to 101
  • Individual problems: RL-102 to 110
Wed. 10/22
  • Turn in Unit 2 assignment packet A
  • Shifting area under curves
  • Team problems: RL-111 to 117, 125 to 128
  • Individual problems: RL-118 to 124
Fri. 10/24
  • Finding area under curves using summation notation
  • Team problems: RL-129 to 133, 143
  • Individual problems: RL-144, 134 to 139
Tues. 10/28
  • Using trapezoids to estimate area under curves
  • Team problems: RL-146 to 149
  • Individual problems: RL-151 to 157
Thur. 10/30
  • Programming: Right- and legt-hand endpoint rectangles
  • Team problems: RL-158, 159, 162, 163, programs
  • Individual problems: RL-164 to 171
Mon. 11/3
  • Introduction to Integral Notation and more with area under curves
  • Team problems: RL-172, 175 to 179, 189, 192 to 194
  • Individual problems: RL-180 to 187
Wed. 11/5
  • Additional practice with summation notation, integral notation, area under curves, and complex numbers
  • Team problems: RL-195 to 206
  • Individual problems: Ch. 2 Review A
Fri. 11/7
  • Unit 2 Team Test
  • Team problems: Unit 2 Team Test
  • Individual problems: Unit 2 Review--Part 1 and 2
Wed. 11/12
  • Turn in Unit 2 packet B
  • Unit 2 Test
  • Team problems: none
  • Individual problems: IL-2 to 7
Fri. 11/14
  • Exploring the laws of logarithms
  • Team problems: IL-10, 11, 13 to 24
  • Individual problems: IL-27 to 30, 35, 36
Tues. 11/18
  • Solving exponential equations using logarithms
  • The Change of Base Rule for Logarithms
  • Team problems: IL-37 to 44, 52, 54
  • Individual problems: IL-45 to 51
Thur. 11/20
  • Reviewing logarithms
  • Team problems: Logarithm review worksheet
  • Individual problems: Logarithm application worksheet
Mon. 11/24
  • Reviewing logarithms
  • Team problems: IL-52 to 64, Complex number/laws of exponents skill builder
  • Individual problems: Factoring/Special Triangle skill builder
Wed. 11/26
  • Turn in Logarithm assignment packet
  • Logarithms Quest
  • Unit circle review
  • Team problems: none
  • Individual problems: none
Tues. 12/2
  • Introduction to Unit 3: Sinusoidal Functions
  • Radian measures
  • Converting between degrees and radians
  • Team problems: SP-1 to 11, unit circle practice
  • Individual problems: SP-12 to 18
Thur. 12/4
  • Unit Circle practice
  • Angle conversions worksheet
  • Team problems: SP-23, 34 to 41, unit circle, angle conversions
  • Individual problems: SP-24 to 33
Mon. 12/8
  • Graphing sine and cosine functions
  • Tool kit entry: Pythagorean Identity
  • Team problems: SP-44, 45, 47 to 56
  • Individual problems: SP-57 to 63
Wed. 12/10
  • Transformations of trig functions and the changing the period of sine graphs
  • Team problems: SP-64 to 66, 68, 71, 72
  • Individual problems: SP-73 to 79
Fri. 12/12
  • Unit Circle practice
  • Matching periodic graphs with their equations
  • The reciprocal trig functions and identities
  • Team problems: SP-69 to 86
  • Individual problems: SP-87 to 93
Tues. 12/16
  • Unit circle quiz
  • Graphing the reciprocal trig functions (cosecant and secant)
  • Unit 3 Quiz A
  • Team problems: SP-94 to 96, 98
  • Individual problems: SP-101 to 108
Mon. 12/5
  • Solving trigonometric equations using the Unit Circle
  • Review topics for Unit 3 Quiz A
  • Team problems: SP-99, 109 to 114, 121
  • Individual problems: SP-115 to 120

 

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