Transcript Trigonometry Honors 14

Trigonometry Honors Pacing Guide & Planning for 2014-2015
Algebra I Prerequisites
It is of great importance that the student
performs a serious introspective analysis
concerning the weaknesses one may have in
Algebra I and make amends as soon as
possible!
Algebra I & II will be your foundation for the
rest of your High School and College Math, and
it is not enough to “know”, you must be
proficient in all of the main points mentioned
in next table.
Things We Always Do In Math – So We Need to Master Them
1) Distribute
8) Combine Like Terms
2) Foil
9) Swap & Solve [Inverse Functions]
3) Solve
10) Apply Rules [Exponents – Radicals – Logs]
4) Factor
5) Simplify
11) Graph [Linear, Non Linear Eq & Inequalities]
6) Grouping &
Factoring
Polynomials
7) Domain &
Range [Linear,
Quadratic &
Rational Equations]
12) Apply Formulas
a) (x ± y)2 = x2 ± 2xy + y2
b) (x2 - y2) = (x + y) (x – y)
c) (a3 ± b3) = (a ± b) (a2+ab+b2)
d) (x2 + y2) = (x + yi ) (x – yi )
e) Quadratic Formula
13) Dividing Polynomials
(Long Division & Synthetic Division)
Trigonometry Honors Pacing Guide & Planning for 2014-2015
Week
Month
From
To
1
2
3
4
5
6
7
8
9
10
August
18
22
August
25
29
September
1
5
September
8
12
September
15
19
September
22
26
September / October
29
3
October
6
10
October
13
17
October
20
24
Grading Scale
Tests
40%
Regular Quizzes
15%
Pop Quizzes
15%
Homework Assignments
10%
Special Homework Assignments
10%
Class Participation
5%
School Supplies
5%
Cell Phones
Cell Phones need to be
turned off and placed
[Never use pen in class]
inside the backpacks
Failure to do this will result in cell phone to be taken away and returned at
the end of classes upon receipt of students paper with 25 lines saying
“Cell phones are not permitted in classroom”
School Supplies Needed in Class
Graphing Calculator [Recommended but not required]
Scientific Calculator like the TI-30XS [$12.00-15.00]
Composition Book & Stick Glue
Binder with College Ruled Paper & Graph Paper
6 Clear Plastic Sheet Protectors
6” Ruler + Circle Templates
Mechanical Pencil & Eraser [Never use pen in class]
Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
To Cover in First Quarter
---------------------------------------------------------------Ch 5 - August 18 to September 19 [Weeks 1 to 5]
5.1 Angles and Radian Measures
5.2 Right Angle Trigonometry
5.3 Trig Functions of Any Angle
5.4 Trig Functions of Real #’s; Periodic Functions
========================================
Ch 7 - September 22 to October 3 [Weeks 6 & 7]
7.1 The Law of Sines
7.2 The Law of Cosines
========================================
Ch 5 - October 6 to October 23 [Weeks 8 to 10]
5.5
5.6
5.7
5.8
5.R
Graphing Sine & Cosine Functions
Graphs of Other Trig Functions
Inverse Trig Functions
Applications of Trig Functions
Summary & Review
I) August 18 to September 19 [Weeks 1 to 5]
• 5.1 - Angles and Radian Measures
• 5.2 - Right Angle Trigonometry
• 5.3 - Trigonometric Functions of Any Angle (Unit Circle)
• 5.4 - Trigonometric Functions of Real Numbers – Periodic Functions
II) September 22 to October 03 [Weeks 6 and 7]
• 7.1 – The Law of Sines
• 7.2 The Law of Cosines
III) October 06 to October 23 [Weeks 8, 9 & 10]
• 5.5 Graphs of Sine & Cosine Functions
• 5.6 Graphs of Other Trigonometric Functions
• 5.7 – Inverse Trigonometric Functions
• 5.8 – (Review) Applications of Trigonometric Functions
• 5.8 – Applications of Trigonometric Functions
I) August 18 to September 19 [Weeks 1 to 5]
5.1
5.2
5.3
5.4
-
Angles and Radian Measures - Examples: 1-9 + 1-125/8
Right Angle Trigonometry - Ex: 1-10 + 1-107/6
Trigonometric Functions of Any Angle (Unit Circle) - Ex: 1-10 + 1-107/6
Trigonometric Functions of Real #’s – Periodic Functions - Ex: 1-10 + 1-107/6
II) September 22 to October 03 [Weeks 6 and 7]
7.1 – The Law of Sines - Ex: 1-7 + 79/4
7.2 - The Law of Cosines - Ex: 1-4 + 67/4
III) October 06 to October 23 [Weeks 8, 9 & 10]
5.5
5.6
5.7
5.8
5.8
Graphs of Sine & Cosine Functions - Ex: 1-9 + 121/8
Graphs of Other Trigonometric Functions - Ex: 1-5 + 101/6
– Inverse Trigonometric Functions - Ex: 1-9 + 125/8
– (Review) Applications of Trigonometric Functions - Ex: 1-8 + 81/4
– Applications of Trigonometric Functions – 117/8
Day
Date
Q-1
Trigonometry Honors Pacing Guide & Planning for 2014-2015
P
To Cover
Wk-1
Periods 1, 2 & 5
[August 18-22]
Q/T
HW
1–3-5
Mon
8/18
Classroom Management Needs
HW - 5.1
Introduce 5.1 using the Unit Circle and display dynamic presentation from the
internet to start forming the necessary visualization in the mind of the students.
Ex: 1-9
Divide class in groups by row and see who answers faster the conversion
Degrees/Radians – Make it a competitive moment.
1-125/8
Introduce 5.1 using the Unit Circle and display dynamic presentation from the
internet to start forming the necessary visualization in the mind of the students.
2–4-6
Tue
8/19
Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks
Classroom Management Needs
Divide class in groups by row and see who answers faster the conversion
Degrees/Radians – Make it a competitive moment.
Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks
3–5-1
Wed
8/20
Classroom Management Needs
5.1 Angles and
Radian
Measures
5.2 Right Angle
Trigonometry
Review 5.1 using the Unit Circle and display dynamic presentation from the internet
to start forming the necessary visualization in the mind of the students.
Divide class in groups by row and see who answers faster the conversion
Degrees/Radians – Make it a competitive moment.
Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks
4–2-6
Review 5.1 using the Unit Circle and display dynamic presentation from the internet
to start forming the necessary visualization in the mind of the students.
5–1-3
Thu
Fri
8/22
8/21
Classroom Management Needs
Review: Degrees vs. Radians – Have the class practice on Handouts 5.1a, b, c
Divide class in groups by row and see who answers faster the conversion
Degrees/Radians – Make it a competitive moment.
HW - 5.2
Announce T
5.1 for
Wednesday
1-107/6
Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks Announce a test on 5.1 for Wednesday
Introduce: Mr. Pit’s Triangles and their applications – Angular & Linear Speed and
Have the class practice on Handouts 5.1d in class – Announce a test on 5.1 for
Tuesday
Ex: 1-10
Announce T
5.1 for
Tuesday
To Cover
Wk-2
Periods 1, 2 & 5
[August 25 –
29]
Q/T
6–2-4
Review: Degrees vs. Radians – Have the class practice on Handouts
5.1a, b, c
Introduce: Mr. Pit’s Triangles and their applications – Angular &
Linear Speed and Have the class practice on Handouts 5.1d in class –
Announce a test on 5.1 for Tuesday
1–3-5
Day
Mon
P
Homework
HW - 5.1
T-5.1
for
Wed
Ex: 1-9
1-125/8
Review: Section 5.1 (45 Minutes)
T-5.1
Administer: T-5.1 (1 hour)
Wed
2–4-6
3–5-1
4–6-2
5.1 Angles and
Radian Measures
Thu
Tue
Trigonometry Honors Pacing Guide & Planning for 2014-2015
Review: T-5.1
Review: T-5.1
Fri
8/29
8/28
8/27
8/26
8/25
Date
Q-1
5.2 Right Angle
Trigonometry
Review: Section 5.1 (45 Minutes)
T-5.1
Administer: T-5.1 (1 hour)
Review: Mr. Pit’s Triangles and their applications – Angular & Linear
Speed – Go Through HW Exercises in classroom
Review: Mr. Pit’s Triangles and their applications – Angular & Linear
Speed – Go Through HW Exercises in classroom
HW - 5.2
Ex: 1-10
1-107/6
No School
1–3-5
2–4-6
6–2-4
5–1-3
Day
Mon
Thu
Wed
Tue
P
Fri
9/05
9/04
9/03
9/02
9/01
Date
Trigonometry Honors Pacing Guide & Planning for 2014-2015
To Cover
Wk-3
Periods 1, 2 & 5
[September 01 - 05]
Q/T
Homework
HW - 5.1
No School
Ex: 1-9
Labor Day
1-125/8
5.1 Angles &
Radian
Measures
5.2 Right
Angle
Trigonometry
Review 5.2: Mr. Pit’s Triangles and their applications –
Angular & Linear Speed – Go Through HW Exercises in
classroom
T-5.2 Thu
HW - 5.2
Review: Mr. Pit’s Triangles and their applications – Angular &
Linear Speed – Go Through HW Exercises in classroom
T-5.2 Fri
Ex: 1-10
1-107/6
5.3 Trig
Functions of
Any Angle
Review: 5.2 and any problem in Home Exercises
T-5.2
Administer: T-5.2
HW - 5.3
Review: 5.2 and any problem in Home Exercises
Administer: T-5.2
T-5.2
Ex: 1-8
1-115/8
To Cover
Periods 1, 2 & 5
Wk-4
[September 08 - 12]
Q/T
Introduce 5.3 – Trig Functions of any angle
Ex: 1-9
1-125/8
HW - 5.2
5.1 Angles and
Radian Measures
Ex: 1-10
Introduce 5.3 – Trig Functions of any angle
1-107/6
5–1-3
6–2-4
5–1-3
Wed
Thu
Fri
9/18
9/17
5.2 Right Angle
Trigonometry
9/19
Homework
HW - 5.1
3–5-1
P
4–6-2
Day
Mon
Tue
9/16
9/15
Date
Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
5.3 Trig
Functions of Any
Angle
5.4 Trig
Functions of Real
#’s; Periodic
Functions
HW - 5.3
Review 5.3 – Trig Functions of any angle –
Review Problems from HW Exercises
T-5.14
Fri
Ex: 1-8
1-115/8
HW - 5.4
Review 5.3 – Trig Functions of any angle –
Review Problems from HW Exercises
Review 5.3
Administer T-5.14
Test
T 5.14
Mon
Test
T
5.14
Ex: 1-4
1-63/4
Mon
1–3-5
2–4-6
Day
P
Tue
8/16
9/22
Date
Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
To Cover
Wk-5
Periods 1, 2 & 5
[September 15 - 19]
Q/T
Homework
HW - 5.1
Review 5.3
Ex: 1-9
Administer T-5.13
1-125/8
HW - 5.2
5.1 Angles
and Radian
Measures
Review T-5.13
Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions
Ex: 1-10
1-107/6
3–5-1
4–2-6
5–1-3
Wed
Thu
Fri
9/19
8/18
8/17
5.2 Right
Angle Trig
5.3 Trig
Functions of
Any Angle
HW - 5.3
Review T-5.13
Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions
Test
T 5.14
Fri
Ex: 1-8
1-115/8
5.4 Trig
Functions of
Real #’s;
Periodic
Functions
Early Release
Review 5.4: Trig Functions of Real Numbers & Periodic Functions
HW - 5.4
Test
T 5.14
Mon
Ex: 1-4
1-63/4
Review 5.4 (45 Min)
Administer T-5.14 (1 hour)
T 5.14
1–3-5
To Cover
3–5-1
Periods 1, 2 & 5
Wk-6
[September 22 - 26]
Q/
T
Homework
HW - 7.1
Review 5.4 (45 Min)
T
5.14
Administer T-5.14 (1 hour)
2–4-6
Day
Mon
Tue
P
Wed
9/24
9/23
9/22
Date
Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Ex: 1-7
1 – 79/4
Review T-5.14
Introduce 7.1: The Law of Sines
7.1 The Law
of Sines
7.2 The Law
of Cosines
Review T-5.14
Introduce 7.1: The Law of Sines
Thu
TPD
Fri
4–2-6
9/26
9/25
HW – 7.2
No Classes
Teacher’s Planning Day
Review 7.1: The Law of Sines (45 Min)
Administer T-7.1 (1 hour)
Ex: 1-4
1 – 67/4
Day
To Cover
Q/T
Thu
Homework
HW - 7.1
Ex: 1-7
Administer: T-7.1 (1 hour)
Review: T-7.1
Tue
Wed
Periods 1, 2 & 5
[Sep 29 – Oct 3]
Review 7.1: The Law of Sines (45 Min)
Mon
P
Wk-7
Introduce: 7.2
7.1 The
Law of
Sines
7.2 The
Law of
Cosines
Review: T-7.1
1 – 79/4
T-7.2
Thu
T-7.2
Fri
Introduce: 7.2
HW – 7.2
Review T-7.2 (45 Min)
Administer T-7.2 (1 hour)
T-7.2
Ex: 1-4
1 – 67/4
Fri
10/03
10/02
10/01
9/30
9/29
Date
Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Review T-7.2 (45 Min)
T-7.2
Administer T-7.2 (1 hour)
Day
To Cover
Classwork: Have the class in groups graphing [Group Grading]
Tue
Introduce 5.5 & 5.6: Graphing the 6 Trig Functions
5.5 Graphing Sine
& Cosine Functions
5.6 Graphs of
Other Trig
Functions
5.7 Inverse Trig
Functions
Thu
5.8 Applications of
Trig Functions
10/09
Periods 1, 2 & 5
Introduce 5.5 & 5.6: Graphing the 6 Trig Functions
Mon
P
Wk-8
5.R Summary &
Review
Classwork: Have the class in groups graphing [Group Grading]
Q/
T
Homework
HW 5.5
Ex: 1-9
Fri
HW 5.6
Ex: 1-5
1-101/6
Introduce 5.7: Inverse Trig Functions
HW 5.7
Ex: 1-9
Introduce 5.8: Applications Trig Functions
1-125/8
Review 5.5 & 5.6: Graphing the 6 Trig Functions
Review 5.7: Inverse Trig Functions
Review 5.8: Applications Trig Functions
Classwork: Have the class in groups graphing [Group Grading]
10/10
[October 6 - 10]
1-121/8
Wed
10/08
10/07
10/06
Date
Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Early Release
HW 5.8
Ex: 1-8
1-81/4
HW 5.R
1-117/8
Day
Date
Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
P
To Cover
Wk-9
Periods 1, 2 & 5
[October 13 - 17]
Q/T
Homewor
k
HW 5.5
Review 5.7: Inverse Trig Functions
Mon
8/16
Review 5.5 & 5.6: Graphing the 6 Trig Functions
Ex: 1-9
Review 5.8: Applications Trig Functions
1-121/8
Classwork: Have the class in groups graphing [Group Grading]
Tue
8/17
Review 5.5 & 5.6: Graphing the 6 Trig Functions
Review 5.7: Inverse Trig Functions
5.5 Graphing Sine &
Cosine Functions
Wed
Thu
8/19
8/18
5.6 Graphs of Other
Trig Functions
5.7 Inverse Trig
Functions
Review 5.8: Applications Trig Functions
HW 5.6
QGraph
Ex: 1-5
1-101/6
Classwork: Have the class in groups graphing [Group Grading]
Review 5.5 & 5.6: Graphing the 6 Trig Functions
Review 5.7: Inverse Trig Functions
Review 5.8: Applications Trig Functions
5.8 Applications of
Trig Functions
Classwork: Have the class in groups graphing [Group Grading]
5.R Summary &
Review
Review 5.7: Inverse Trig Functions
Review 5.8: Applications Trig Functions
HW 5.7
QGraph
Ex: 1-9
1-125/8
HW 5.8
T-5.78
Ex: 1-8
1-81/4
Administer T-5.78
Fri
8/20
Review 5.7: Inverse Trig Functions
Review 5.8: Applications Trig Functions
Administer T-5.78
T-5.78
HW 5.R
1-117/8
Day
P
To Cover
5.1 Angles
and Radian
Measures
Mon
10/20
Date
Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Periods 1, 2 & 5
Wk-10
[October 20 - 24]
Q/
T
Homework
HW 5.5
Review Chapter 5: (45 Min)
T-5
Administer T-5: (1 Hour)
Ex: 1-9
1-121/8
Tue
5.3 Trig
Functions of
Any Angle
Wed
5.4 Trig
Functions of
Real #’s;
Periodic
Functions
5.5 Graphing
Sine & Cosine
Functions
5.6 Graphs of
Other Trig
Functions
Thu
10/23
10/22
10/21
5.2 Right
Angle
Trigonometry
5.7 Inverse
Trig Functions
HW 5.6
Review Chapter 5: (45 Min)
T-5
Administer T-5: (1 Hour)
Ex: 1-5
1-101/6
Review T-5
HW 5.7
Review 7.1 & 7.2
Ex: 1-9
1-125/8
Review T-5
End of Grading Period
HW 5.8
Ex: 1-8
Review 7.1 & 7.2
1-81/4
TPD
Fri
10/24
5.8
Applications of
Trig Functions
5.R Summary
& Review
No Classes
HW 5.R
Teacher’s Planning Day
1-117/8
Q-2 Trigonometry Honors Pacing Guide & Planning for 2014-2015
To Cover in Second Quarter
Chapter 6
6.1 Verifying Trig Identities
6.2 Sum & Difference Formulas
6.3 Double Angle, Power Reducing & ½ Angle
Formulas
6.4 Product-to-Sum & Sum-to-Product Formulas
6.5 Trigonometric Equations
6.R Summary & Review
Chapter 7
7.3 Polar Coordinates
7.4 Graphs of Polar Equations
7.5 Complex Numbers in Polar Form; DeMoivre’s
Theorem
7.6 Vectors
7.7 The Dot Product
Q-3 Trigonometry Honors Pacing Guide & Planning for 2014-2015
To Cover in Third Quarter
Chapter 2
2.1
2.2
2.3
2.4
2.5
2.6
Basics of Functions & Their Graphs
More on Functions & Their Graphs
Linear Functions & Slope
More on Slope
Transformations of Functions
Combinations of Functions & Composite Functions
Chapter 9
9.1
9.2
9.3
9.4
9.5
Matrix Solutions to Linear Systems
Inconsistent & Dependent Systems & Appl.
Matrix Operations & Applications
Multiplicative Inverses of Matrices & Matrix Eq
Determinants & Cramer’s Rule
Chapter 3
3.1
3.2
3.3
3.4
Quadratic Equations
Polynomial Functions & Their Graphs
(÷) Polynomials, Remainder & Factor Theorem
Zeroes of Polynomial Functions
Q-4 Trigonometry Honors Pacing Guide & Planning for 2014-2015
To Cover in Fourth Quarter
Chapter 11
11.1 Sequences & Summation Notation
11.2 Arithmetic Sequences
11.3 Geometric Sequences & Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles, Permutations &
Combinations
11.7 Probability
11.R Summary & Review