Accelerated Pre-Calculus 2015 – 2016
Day
Date
Day #
Introductions and Syllabus
Notes: Review Radicals
HW: Dot-to-Dot practice with radicals
Notes: Review Special Right Triangles
HW: Right Triangle practice WS
Wed
8/05
1
Thu
8/06
2
Fri
8/07
3
Additional Practice with Right Triangles
Mon
8/10
4
Getting started with the Unit Circle
Reference Angles and Conterminal Angles
Angles on the Coordinate Plane
Tue
8/11
5
Angles on the Coordinate Plane/Right Triangle Trig Review
Wed
8/12
6
Quiz on Radicals and Special Right Triangles (NO Calculators)
Quiz on Intro to the Unit Circle
Begin Unit Circle Construction
Start by Constructing Special Right Triangles – Math Open
Reference for construction directions
Continue Constructing a Unit Circle
Begin pasting triangles and labeling leg lengths
Finish Constructing a Unit Circle
Label all the angles and ordered pairs
Turn in Unit Circle Construction (50 Point Quiz grade)
Notes: Right Triangles and Coordinates on the Unit Circle
HW: Fill in the blank circle & practice using the unit circle
Quiz on Quadrant I of the Unit Circle (32 Point Quiz Grade)
Notes: Working with all Six Trigonometric Functions
HW: Practice with all Six Trig Functions
Thu
8/13
7
Fri
8/14
8
Mon
8/17
9
Tue
8/18
10
Wed
8/19
11
Thu
8/20
12
Continue working with all Six Trig Functions
Fri
8/21
13
Quiz on All Quadrants of the Unit Circle (100 Point Quiz Grade)
Continue working with all Six Trig Functions
Review for quiz – using with unit circle and evaluating
Mon
8/24
14
Quiz on using the Unit Circle (NO Calculator)
Tue
8/25
15
Notes: Converting Decimal Degrees and Degrees, Minutes, Seconds
Wed
8/26
16
Thu
8/27
17
Fri
8/28
18
Discuss quiz results
Review for Introduction to Trigonometry Test
Test on Introduction to Trigonometry
Calculator and Non-Calculator sections
Computer lab to set-up online textbook & test extra credit
Mon
9/01
Labor Day Holiday
Tue
9/02
19
Wed
9/03
20
Thu
9/04
21
Fri
9/05
22
Mon
9/08
23
Tue
9/09
24
Wed
9/10
25
Thu
9/11
26
Fri
9/12
27
Mon
9/15
28
Tue
9/16
29
Wed
9/17
30
Thu
9/18
31
Fri
9/19
32
What is a Radian Task/Notes
Practice with Radians/Review Unit Circle
WS & Study for unit circle quiz
Non-Calculator Quiz Unit Circle and Evaluating Trig Functions
More practice with converting degree/radian, drawing angle, finding
coterminal and reference angles in radian measure
Calculator Quiz on Radian: terminal, co-terminal angles
Drawing, evaluating, etc.
Radian/Degree/DMS practice chart after quiz due Monday
Notes: Arc Length and Area Sector
Use videos in QR codes
HW: from book problems page 270
Progress Reports
Notes: Linear Speed and Angular Speed
Finish watching video in QR code
HW: from book problems page 270 (some of these are hard)
In class Application Practice #1 (did 10-12 with them)
Worked with partner to complete
HW: Application Practice #2
Discuss classwork and homework
Begin Test Review #1
Give out both reviews b/c football & band will not be in class Friday
Finish Test Reviews #1 and #2
Test on Radians and Application Problems
Planned for test on Friday but with Football & band missing moved to
Monday
Begin Graphing Trig Function Unit
Unwrapping the Unit Circle
Group Task/Activity: Making circle & begin graphing the Sine curve
Unwrapping the Unit Circle continued
Group Task/Activity: Finish graphing Sine & begin the Cosine curve
Early Release/Parent Conferences
Finished Unwrapping the Unit Circle
Group Task/Activity: Graphing the Cosine curve & answer questions
As groups finished they completed the Quadratic Transformation
Review
Discuss Findings from Unwrapping the Unit Circle (Sine and Cosine)
Discuss Quadratic Transformation Review (Students check answers)
Graphed Parent for Sine and Cosine
Mon
9/22
33
Notes (PowerPoint) on Transformations of Sine and Cosine
(Amplitude, Period and Reflections over x-axis and y-axis)
Tue
9/23
34
Practice with Transformations of Sine and Cosine
Wed
9/24
35
GHS Writing Test periods 1 – 3 (Juniors)
Practice with Transformations of Sine and Cosine
Thu
9/25
36
Quiz on Transformations of Sine and Cosine (Amp, Period, Ref)
Fri
9/26
37
Notes (PowerPoint) on transformations of Sine and Cosine
(Vertical Shifts and Phase Shifts)
Mon
9/29
38
Practices worksheet: study for quiz
Tue
9/30
39
Quiz on All Transformations of Sine and Cosine
Wed
10/01
40
Review for TEST on all Transformations on graphing Sine/Cosine
Thu
10/02
41
TEST Graphing Sine/Cosine (End 1st 9 weeks grades)
Fri
10/03
42
Notes (PowerPoint) on Transformations of graphing Secant &
Cosecant (Parents and Transformations)
Mon
10/06
43
Practice graphing secant/cosecant
Tue
10/07
44
Practice graphing secant/cosecant
Wed
10/08
45
Quiz graphing secant/cosecant
Thu
10/09
46
Fri
10/10
47
Mon
10/13
Holiday
Tue
10/14
Student Holiday/Teacher Workday
Wed
10/15
48
Thur
10/16
49
Fri
10/17
50
Mon
10/20
51
Tues
10/21
52
Wed
10/22
53
End of First Nine Weeks
Notes on transformations and graphing tangent and cotangent
Practice problems on tangent and cotangent transformation and
graphing.
Review all transformations and graphing with secant, cosecant,
tangent, and cotangent. Review Part 1
Review all transformations and graphing with secant, cosecant,
tangent, and cotangent. Review Part 2
Report Cards
Sinusoidal Modeling – Application of Sine and Cosine
Complete the Ferris Wheel application together
Homework – graphing and evaluating given the equation
Sinusoidal Modeling – Application of Sine and Cosine
Tidal Wave, Ferris Wheel 2, Roller Coaster, Steamboat, Tarzan
Pair Share – students start in pairs then in larger group compare
answers and discuss Homework Pebble problem and Predator
Review all transformations and graphing with secant, cosecant,
tangent, and cotangent. Review Part 3
TEST on Graphing all Trig Functions
Thu
10/23
54
Inverse Functions Notes
Fri
10/24
55
Practice Inverse Functions WS
Mon
10/27
56
Continue Practice Inverse review for quiz
Matching Activity
Quiz Review Sheet
Tue
10/28
57
Quiz (inverse function)
Wed
10/29
58
Review for TEST Inverse Functions
Thur
10/30
59
TEST on Inverse Functions
Fri
10/31
60
Notes simplifying Trig Identities
Mon
11/03
61
Continue examples and practice simplifying trig identities
Tue
11/04
62
Notes Proving Trig Identities WS
Wed
11/05
63
Review and Practice Quiz simplifying and verifying identities
Thu
11/06
64
QUIZ on Simplifying & Verifying Identities
Fri
11/07
65
Notes Sum and Difference Formulas
Mon
11/10
66
Complete notes and examples with Sum and Difference formulas
Practice WS
Tue
11/11
67
Review and practice for continue practice sum & difference formulas
Wed
11/12
68
Review For Identities TEST
Thu
11/13
69
Review For Identities TEST
Fri
11/14
70
TEST on Trigonometric Identities
Mon
11/17
71
Solving Trigonometric Equations Notes & Examples
If needed book problems page 396 7 – 19 odd
Practice with Solving Trigonometric Equations – Practice WS
Burch 3rd & 5th Teacher Survey in room 126
Tue
11/18
72
Wed
11/19
73
Practice with Solving Trig Equations and Review for Quiz
Thu
11/20
74
QUIZ on Solving Trig Equations
Fri
11/21
75
Students corrected quizzes for ½ credit back and completed 5
problems for test extra credit – allowed to use notes on all of this
but could not help each other.
Thanksgiving Holiday
Mon
12/01
76
Double Angle Identities Notes & Examples
Tue
12/02
77
Practice with Double Angle Identities – Practice WS
Wed
12/03
78
Review with Solving Trig Equations and Double Angles Day 1
Thu
12/04
79
Review with Solving Trig Equations and Double Angles Day 2
Fri
12/05
80
TEST on Solving Trig Equations and Double Angles
Mon
12/08
81
Cost of College – computer lab
Tue
12/09
82
Affording College - activity
Wed
12/10
83
TEST retake to replace lowest test of 2nd 9 weeks.
Student Brag Sheet
Thu
12/11
84
Review Factoring
Fri
12/12
85
Review Factoring
Mon
12/15
86
Review for Exam
Tue
12/16
87
Wed
12/17
88
Thu
12/18
89
Fri
12/19
90
Review for Exam
1st Period Exam 7:40-9:30
Review for Exam
2nd Period Exam 7:40-9:30
3rd Period Exam 9:40-11:30
4th Period Exam 7:40-9:30
5th Period Exam 9:40-11:30
6th Period Exam 7:40-9:30
7th Period Exam 9:40-11:30
Semester Exams
Holiday
Day
Date
Day #
Mon
1/05
Tue
1/06
1
First Day of Second Semester
Law of Sines Notes Day 1
Wed
1/07
2
Law of Sines Practice Day 2
Thu
1/08
3
Report Cards
Law of Sines Application problems Day 3
Fri
1/09
4
Law of Sines review problems and application practice
Mon
1/12
5
Area of Oblique Triangles
Tue
1/13
6
QUIZ on Law of Sines and Area
Wed
1/14
7
Law of Cosine Notes Day 1
Thu
1/15
8
Law of Cosine Practice Day 2 with Application problems
Fri
1/16
9
Heron’s Formula
Mon
1/19
Tue
1/20
10
Law of cosines review Group Activity
Wed
1/21
11
QUIZ on Law of Cosines
Thu
1/22
12
Test Review
Fri
1/23
13
TEST on Law of Sine & Cosine and Area of Triangle
Teacher Work Day
Holiday
Mon
1/26
14
Tue
1/27
15
Introduction to Vectors 6.3
Used Despicable Me as introduction to definition of Vectors
(villain is Vector – google vector despicable me – utube video)
Component Form, Magnitude, Addition and Scalar Multiplication
Pep Rally (split Tuesday and Wednesday because short classes)
Practice with Vectors: Magnitude and Direction
Addition, Subtraction and Scalar Multiplication
Practice with Vectors: Magnitude and Direction
Graphing Standard Form and Finding Direction Angle
Write the Component Form given Magnitude and Direction Angle
Wed
1/28
16
Thu
1/29
17
Fri
1/30
18
Mon
2/02
19
Practice with Linear Combination and Unit Vector
Tue
2/03
20
Dot Products and Angle between Vectors 6.4
Wed
2/04
21
Alternate form of Dot Product Projection
Vector Voyage Task
Practice for Vector Quiz
Quiz on Vectors 6.3
Notes on Linear Combination and Unit Vector
Thu
2/05
22
Alternate form of Dot Product, Angle Between and Projection
Quiz on Vectors 6.4
Fri
2/06
23
Mon
2/09
24
Review for test on Vectors
Tue
2/10
25
Review for test on Vectors
Wed
2/11
26
TEST on Vectors 6.3 & 6.4
Thu
2/12
27
Introduction to Matrices – Notation & Vocabulary
28
Introduction to Matrices – Addition, Subtraction & Scalar
Multiplication
Short Matrix Quiz #1 – students grade if time
Fri
2/13
Progress Report
(Don’t need this day only did it because of Holiday and had to be absent with sick
child. Can omit the quiz or use it before introduction to Matrix Multiplication)
Mon
2/16
Holiday
Tue
2/17
Student Holiday
Wed
2/18
29
Matrices Multiplication (can add to this day – possibly the quiz or
maybe properties of matrices)
Thu
2/19
30
Stations Activity: Matrix Vocabulary and Matrix Operation
Fri
2/20
31
Quiz #2 on Matrix Vocabulary and Operations
(After quiz students complete the Real Number & Matrix Property chart)
Properties of Matrices – discuss property chart
Identity for Matrix Multiplication
Show matrices are inverses by finding their product = identity
Find the determinant of a 2x2 Matrix
Use the determinant to find the inverse of a 2x2 Matrix
Solve systems of Equations in 2 variables using Matrices
Review substitution, elimination and graphing method
Use matrix inverse to solve system
Find the Determinant of a 3x3 Matrix
Diagonal Method and Cofactor Method
Find the area of a triangle using the determinant
Mon
2/23
32
Tue
2/24
33
Wed
2/25
34
Thu
2/26
35
Review
Fri
2/27
36
Matrix Quiz #3
Mon
3/02
37
Test Review
Matrix Test #1 No Graphing Calculator
Tue
3/03
38
Wed
3/04
39
Introduction to Matrices with Graphing Calculator Task I
Can add few other calculator features copy/paste
simple matrix not having to give dimensions etc.
Thu
3/05
40
Matrices with Graphing Calculator Task II
Fri
3/06
41
Mon
3/09
42
Tue
3/10
43
Test review Matrices with Graphing Calculator
Wed
3/11
44
Matrix Test #2 With Graphing Calculator (50 point test)
Thu
3/12
45
Fri
3/13
46
Mon
3/16
47
Introduction to Complex Numbers in Trig Form section 6.5
Tue
3/17
48
Multiply and Divide Complex Numbers
Wed
3/18
49
Practice with Complex Numbers
Thu
3/19
50
Fri
3/20
51
Powers of Complex Numbers & Finding nth root: DeMoivre’s Theorem
Mon
3/23
52
Practice Powers and nth root
Tue
3/24
53
Wed
3/25
54
Thu
3/26
55
Fri
3/27
56
Mon
3/30
57
Tue
3/31
58
Wed
4/01
59
Thu
4/02
60
Fri
4/03
61
Finish Matrices with Graphing Calculator Task II
Practice with Graphing Calculator
Matrices with Graphing Calculator Task III
Transformations using matrices
Early Release
Imaginary number review – no calculators
End of 3rd 9 Weeks
Pi Day Celebration
Report Cards
Quiz on Complex Numbers
using tutorvisita online worksheet for additional practice
Review all Complex Numbers
Test Review #1
Review all Complex Numbers
Test Review #2
Test on Complex Numbers
Calculus Prep
(I was out today & Sarah out ½ day)
Calculus Prep
Physics Trip most students gone (Most Juniors out today)
Calculus Prep
Calculus Prep
Band Trip
Calculus Prep
Band Trip
Calculus Prep
Band Trip
(I was out today)
Spring Break
Tue
4/14
62
Section 10.7 Introduction to Polar Coordinates
Wed
4/15
63
Polar Coordinate Conversion Polar/Rectangular
Thu
4/16
64
Practice Quiz Review
Fri
4/17
65
Quiz Polar Coordinates
Mon
4/20
66
Polar Equations
Tue
4/21
67
Progress Reports
Polar Coordinates & Equations Practice
Wed
4/22
68
Polar Test Review
Thu
4/23
69
Test on Polar
Fri
4/24
70
Mon
4/27
71
Tue
4/28
72
Wed
4/29
73
Thu
4/30
74
Fri
5/1
75
Mon
5/4
76
Tue
5/5
77
Wed
5/6
78
Thu
5/7
79
Fri
5/8
80
Mon
5/11
81
Tue
5/12
82
Wed
5/13
83
Thu
5/14
84
Fri
5/15
85
Mon
5/18
86
Tue
5/19
87
Semester Exams
Mon
5/25
Holiday
Post Planning – May 26 - 28