2014 - 2015 Q-1 Trigonometry Lesson Plan A. M. Bunge

2014 - 2015 Q-1

Trigonometry Lesson Plan

A. M. Bunge

Trigonometry Honors Pacing Guide & Planning for 2014-2015

Algebra I PrerequisitesIt 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 Them1) Distribute 8) Combine Like Terms

2) Foil 9) Swap & Solve [Inverse Functions]

3) Solve 10) Apply Rules [Exponents – Radicals – Logs]4) Factor 11) Graph [Linear, Non Linear Eq & Inequalities]

5) Simplify 12) Apply Formulasa) (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

6) Grouping & Factoring Polynomials

7) Domain & Range [Linear, Quadratic & Rational Equations]

13) Dividing Polynomials (Long Division & Synthetic Division)

Trigonometry Honors Pacing Guide & Planning for 2014-2015

Q-1 2014 – 2015 Q-1

Week Month From To

1 August 18 22

2 August 25 29

3 September 1 5

4 September 8 12

5 September 15 19

6 September 22 26

7 September / October 29 3

8 October 6 10

9 October 13 17

10 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

inside the backpacksFailure 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”

[Never use pen in class]

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]

Exercises Assignments [HW & SHW]

Name: ___________ Due Date / Date In: ________/________ P: ____

Trigonometry Honors Section 1.3, # 1-73 / 4#1#5#9 and so on

Heading of page has to be as shown aboveAll numbers of exercises need to be listedAll assignments received (complete) early will be graded over 105%, on due date will be graded on 100% upon completion, those received in next class session will be graded based on 90%, next on 80%, next on 50%. After Q/T on the section 30%.All Assignments to be done with pencil only, and graphs should be done in graph inserts glued or taped to main paperMake-Up exams depend upon all HW Assignments to be completed.(Optional) After it is graded, it is to go to the 3-Ring binder

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 Measures5.2 Right Angle Trigonometry5.3 Trig Functions of Any Angle5.4 Trig Functions of Real #’s; Periodic Functions========================================Ch 7 - September 22 to October 3 [Weeks 6 & 7]

7.1 The Law of Sines7.2 The Law of Cosines========================================Ch 5 - October 6 to October 23 [Weeks 8 to 10]

5.5 Graphing Sine & Cosine Functions5.6 Graphs of Other Trig Functions5.7 Inverse Trig Functions5.8 Applications of Trig Functions5.R Summary & Review

2014-15 Q-1 Trigonometry Lesson PlanI) 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 FunctionsII) September 22 to October 03 [Weeks 6 and 7]• 7.1 – The Law of Sines• 7.2 The Law of CosinesIII) 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

2014-15 Q-1 Trigonometry HW PlanningI) August 18 to September 19 [Weeks 1 to 5]

5.1 - Angles and Radian Measures - Examples: 1-9 + 1-125/85.2 - Right Angle Trigonometry - Ex: 1-10 + 1-107/65.3 - Trigonometric Functions of Any Angle (Unit Circle) - Ex: 1-10 + 1-107/65.4 - 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 + 79/47.2 - The Law of Cosines - Ex: 1-4 + 67/4

III) October 06 to October 23 [Weeks 8, 9 & 10]

5.5 Graphs of Sine & Cosine Functions - Ex: 1-9 + 121/85.6 Graphs of Other Trigonometric Functions - Ex: 1-5 + 101/65.7 – Inverse Trigonometric Functions - Ex: 1-9 + 125/85.8 – (Review) Applications of Trigonometric Functions - Ex: 1-8 + 81/45.8 – Applications of Trigonometric Functions – 117/8

Date

Day

P To Cover Periods 1, 2 & 5 Q/T HW

8/18

Mon

1 – 3 - 5

5.1 Angles and Radian Measures

5.2 Right Angle Trigonometry

Classroom Management Needs

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.

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

HW - 5.1

Ex: 1-9

1-125/8

8/19

Tue

2 – 4 - 6


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.



8/20

Wed

3 – 5 - 1


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.




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.


Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks - Announce a test on 5.1 for Wednesday

Announce T 5.1 for

Wednesday

HW - 5.2

Ex: 1-10

1-107/6

8/21

Thu

4 – 2 - 6

8/22

Fri

5 – 1 - 3

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

Announce T 5.1 for

Tuesday

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Wk-1 [August 18-22]

Date

Day

P To Cover Periods 1, 2 & 5 Q/T Homework

8/25

Mon

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

T-5.1 for

Wed

HW - 5.1

Ex: 1-9

1-125/8

8/26

Tue

1 – 3 - 5

Review: Section 5.1 (45 Minutes)

Administer: T-5.1 (1 hour)T-5.1

8/27

Wed

2 – 4 - 6

Review: Section 5.1 (45 Minutes)

Administer: T-5.1 (1 hour)T-5.1

8/28

Thu

3 – 5 - 1

Review: T-5.1

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

8/29

Fri

4 – 6 - 2

Review: T-5.1

Review: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Wk-2 [August 25 – 29]

Date

Day


9/01

Mon

No School

5.1 Angles & Radian Measures


5.3 Trig Functions of Any Angle

No School

Labor Day

HW - 5.1

Ex: 1-9

1-125/8

9/02

Tue

5 – 1 - 3

Review 5.2: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom T-5.2 Thu

9/03

Wed

6 – 2 - 4

Review: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom T-5.2 Fri

HW - 5.2

Ex: 1-10

1-107/6

9/04

Thu

1 – 3 - 5

Review: 5.2 and any problem in Home Exercises

Administer: T-5.2T-5.2

9/05

Fri

2 – 4 - 6

Review: 5.2 and any problem in Home Exercises

Administer: T-5.2T-5.2

HW - 5.3

Ex: 1-8

1-115/8

Trigonometry Honors Pacing Guide & Planning for 2014-2015 Wk-3 [September 01 - 05]

Date

Day


9/15

Mon

3 – 5 - 1




5.4 Trig Functions of Real #’s; Periodic Functions

Introduce 5.3 – Trig Functions of any angle

HW - 5.1

Ex: 1-9

1-125/8

9/16

Tue

4 – 6 - 2

Introduce 5.3 – Trig Functions of any angle

HW - 5.2

Ex: 1-10

1-107/6

9/17

Wed

5 – 1 - 3

Review 5.3 – Trig Functions of any angle – Review Problems from HW Exercises T-5.14

Fri

HW - 5.3

Ex: 1-8

1-115/8

9/18

Thu

6 – 2 - 4

Review 5.3 – Trig Functions of any angle – Review Problems from HW Exercises

TestT 5.14 Mon

HW - 5.4

Ex: 1-4

1-63/4

9/19

Fri

5 – 1 - 3

Review 5.3

Administer T-5.14

TestT

5.14

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Wk-4 [September 08 - 12]

Date

Day


9/22

Mon

1 – 3 - 5


5.2 Right Angle Trig



Review 5.3

Administer T-5.13

HW - 5.1

Ex: 1-9

1-125/8

8/16

Tue

2 – 4 - 6

Review T-5.13Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions

HW - 5.2

Ex: 1-10

1-107/6

8/17

Wed

3 – 5 - 1

Review T-5.13Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions

TestT 5.14

Fri

HW - 5.3

Ex: 1-8

1-115/8

8/18

Thu

4 – 2 - 6

Early Release

Review 5.4: Trig Functions of Real Numbers & Periodic Functions

TestT 5.14Mon

HW - 5.4

Ex: 1-4

1-63/4

9/19

Fri

5 – 1 - 3

Review 5.4 (45 Min)

Administer T-5.14 (1 hour)T 5.14


Date

Day


9/22

Mon

1 – 3 - 5

7.1 The Law of Sines

7.2 The Law of Cosines

Review 5.4 (45 Min)

Administer T-5.14 (1 hour)

T 5.14

HW - 7.1

Ex: 1-7

1 – 79/4

9/23

Tue

2 – 4 - 6

Review T-5.14Introduce 7.1: The Law of Sines

9/24

Wed

3 – 5 - 1

Review T-5.14Introduce 7.1: The Law of Sines

9/25

Thu

TPD

No Classes

Teacher’s Planning Day

HW – 7.2

Ex: 1-4

1 – 67/4

9/26

Fri

4 – 2 - 6

Review 7.1: The Law of Sines (45 Min)

Administer T-7.1 (1 hour)


Date

Day


9/29

Mon

7.1 The Law of Sines

7.2 The Law of Cosines

Review 7.1: The Law of Sines (45 Min)

Administer: T-7.1 (1 hour)

HW - 7.1

Ex: 1-7

1 – 79/4

9/30

Tue

Review: T-7.1

Introduce: 7.2

T-7.2Thu

10/01

Wed

Review: T-7.1

Introduce: 7.2

T-7.2Fri

10/02

Thu

Review T-7.2 (45 Min)

Administer T-7.2 (1 hour)T-7.2

HW – 7.2

Ex: 1-4

1 – 67/4

10/03

Fri

Review T-7.2 (45 Min)

Administer T-7.2 (1 hour)T-7.2

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Wk-7 [Sep 29 – Oct 3]

Date

Day


10/06

Mon

5.5 Graphing Sine & Cosine Functions

5.6 Graphs of Other Trig Functions

5.7 Inverse Trig Functions

5.8 Applications of Trig Functions

5.R Summary & Review

Introduce 5.5 & 5.6: Graphing the 6 Trig Functions

Classwork: Have the class in groups graphing [Group Grading]

HW 5.5

Ex: 1-9

1-121/8

10/07

Tue

Introduce 5.5 & 5.6: Graphing the 6 Trig Functions


HW 5.6

Ex: 1-5

1-101/6

10/08

Wed

Introduce 5.7: Inverse Trig Functions

Introduce 5.8: Applications Trig Functions

HW 5.7

Ex: 1-9

1-125/8

10/09

Thu

Review 5.5 & 5.6: Graphing the 6 Trig Functions

Review 5.7: Inverse Trig Functions

Review 5.8: Applications Trig Functions


HW 5.8

Ex: 1-8

1-81/4

10/10

Fri

Early ReleaseHW 5.R

1-117/8

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Wk-8 [October 6 - 10]

Date

Day


8/16

Mon










HW 5.5

Ex: 1-9

1-121/8

8/17

Tue





Q-Graph

HW 5.6

Ex: 1-5

1-101/6

8/18

Wed





Q-Graph

HW 5.7

Ex: 1-9

1-125/8

8/19

Thu



Administer T-5.78

T-5.78

HW 5.8

Ex: 1-8

1-81/4

8/20

Fri



Administer T-5.78

T-5.78HW 5.R

1-117/8


Date

Day


10/20

Mon










Review Chapter 5: (45 Min)

Administer T-5: (1 Hour)T-5

HW 5.5

Ex: 1-9

1-121/8

10/21

Tue

Review Chapter 5: (45 Min)

Administer T-5: (1 Hour)T-5

HW 5.6

Ex: 1-5

1-101/6

10/22

Wed

Review T-5

Review 7.1 & 7.2

HW 5.7

Ex: 1-9

1-125/8

10/23

Thu

End of Grading PeriodReview T-5

Review 7.1 & 7.2

HW 5.8

Ex: 1-8

1-81/4

10/24

Fri

TPD

No Classes

Teacher’s Planning Day

HW 5.R

1-117/8



To Cover in Second Quarter

Chapter 6

6.1 Verifying Trig Identities6.2 Sum & Difference Formulas6.3 Double Angle, Power Reducing & ½ Angle Formulas6.4 Product-to-Sum & Sum-to-Product Formulas6.5 Trigonometric Equations6.R Summary & Review

Chapter 7

7.3 Polar Coordinates7.4 Graphs of Polar Equations7.5 Complex Numbers in Polar Form; DeMoivre’s Theorem7.6 Vectors7.7 The Dot Product


To Cover in Third Quarter

Chapter 2

2.1 Basics of Functions & Their Graphs2.2 More on Functions & Their Graphs2.3 Linear Functions & Slope2.4 More on Slope2.5 Transformations of Functions2.6 Combinations of Functions & Composite Functions

Chapter 9

9.1 Matrix Solutions to Linear Systems9.2 Inconsistent & Dependent Systems & Appl.9.3 Matrix Operations & Applications9.4 Multiplicative Inverses of Matrices & Matrix Eq9.5 Determinants & Cramer’s Rule

Chapter 3

3.1 Quadratic Equations3.2 Polynomial Functions & Their Graphs3.3 (÷) Polynomials, Remainder & Factor Theorem3.4 Zeroes of Polynomial Functions


To Cover in Fourth Quarter

Chapter 11

11.1 Sequences & Summation Notation11.2 Arithmetic Sequences11.3 Geometric Sequences & Series11.4 Mathematical Induction11.5 The Binomial Theorem11.6 Counting Principles, Permutations & Combinations11.7 Probability11.R Summary & Review

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2014 - 2015 Q-1 Trigonometry Lesson Plan A. M. Bunge