# Q-1 Trigonometry Lesson Plan

## Presentation on theme: "Q-1 Trigonometry Lesson Plan"— Presentation transcript:

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

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 11) Graph [Linear, Non Linear Eq & Inequalities] 5) Simplify 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 6) Grouping & Factoring Polynomials 7) Domain & Range [Linear, Quadratic & Rational Equations] 13) Dividing Polynomials (Long Division & Synthetic Division) Make sure

Trigonometry Honors Pacing Guide & Planning for 2014-2015

1 2 3 4 6 7 9 Q-1 2014 – 2015 Q-1 August 18 22 25 29 September 5 8 12
Week Month From To 1 August 18 22 2 25 29 3 September 5 4 8 12 15 19 6 26 7 September / October October 10 9 13 17 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 need to be turned off and placed 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” [Never use pen in class]

School Supplies Needed in Class
Graphing Calculator [Recommended but not required] Scientific Calculator like the TI-30XS [\$ ] 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 above All numbers of exercises need to be listed All 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 paper Make-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 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 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 Understanding The Unit Circle is vital for the students to begin to visualize Trigonometry, this should be done with dynamic presentations from the Internet as well as using the Unit Circle Sheet

2014-15 Q-1 Trigonometry Lesson Plan
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

2014-15 Q-1 Trigonometry HW Planning
I) August 18 to September 19 [Weeks 1 to 5] 5.1 - Angles and Radian Measures - Examples: /8 5.2 - Right Angle Trigonometry - Ex: /6 5.3 - Trigonometric Functions of Any Angle (Unit Circle) - Ex: /6 5.4 - Trigonometric Functions of Real #’s – Periodic Functions - Ex: /6 II) September 22 to October 03 [Weeks 6 and 7] 7.1 – The Law of Sines - Ex: /4 The Law of Cosines - Ex: /4 III) October 06 to October 23 [Weeks 8, 9 & 10] 5.5 Graphs of Sine & Cosine Functions - Ex: /8 5.6 Graphs of Other Trigonometric Functions - Ex: /6 5.7 – Inverse Trigonometric Functions - Ex: /8 5.8 – (Review) Applications of Trigonometric Functions - Ex: /4 5.8 – Applications of Trigonometric Functions – 117/8

Wk-1 [August 18-22] 1 – 3 - 5 2 – 4 - 6 3 – 5 - 1 4 – 2 - 6 5 – 1 - 3
Q-1 Trigonometry Honors Pacing Guide & Planning for Wk [August 18-22] 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 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. 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

Trigonometry Honors Pacing Guide & Planning for 2014-2015
Q-1 Trigonometry Honors Pacing Guide & Planning for Wk [August 25 – 29] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 8/25 Mon 6 – 2 - 4 5.1 Angles and Radian Measures 5.2 Right Angle Trigonometry 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 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

Trigonometry Honors Pacing Guide & Planning for 2014-2015
Wk [September ] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 9/01 Mon No School 5.1 Angles & Radian Measures 5.2 Right Angle Trigonometry 5.3 Trig Functions of Any Angle 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-5.2 T-5.2 9/05 Fri 2 – 4 - 6 HW - 5.3 Ex: 1-8 1-115/8

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Wk [September ] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 9/15 Mon 3 – 5 - 1 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 Introduce 5.3 – Trig Functions of any angle HW - 5.1 Ex: 1-9 1-125/8 9/16 Tue 4 – 6 - 2 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 Test T 5.14 Mon HW - 5.4 Ex: 1-4 1-63/4 9/19 Fri Review 5.3 Administer T-5.14 T 5.14

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Wk [September ] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 9/22 Mon 1 – 3 - 5 5.1 Angles and Radian Measures 5.2 Right Angle Trig 5.3 Trig Functions of Any Angle 5.4 Trig Functions of Real #’s; Periodic Functions Review 5.3 Administer T-5.13 HW - 5.1 Ex: 1-9 1-125/8 8/16 Tue 2 – 4 - 6 Review T-5.13 Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions HW - 5.2 Ex: 1-10 1-107/6 8/17 Wed 3 – 5 - 1 Test T 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 HW - 5.4 Ex: 1-4 1-63/4 9/19 5 – 1 - 3 Review 5.4 (45 Min) Administer T-5.14 (1 hour)

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Wk [September ] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 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-5.14 Introduce 7.1: The Law of Sines 9/24 Wed 3 – 5 - 1 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)

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Wk [Sep 29 – Oct 3] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 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-7.2 Thu 10/01 Wed Fri 10/02 Review T-7.2 (45 Min) Administer T-7.2 (1 hour) HW – 7.2 Ex: 1-4 1 – 67/4 10/03

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Wk [October ] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 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 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 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 Release HW 5.R 1-117/8

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Wk [October ] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 8/16 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 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] 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 HW 5.7 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 HW 5.R 1-117/8

Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015
Wk [October ] Date Day P To Cover Periods 1, 2 & 5 Q/T Homework 10/20 Mon 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 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 Review Chapter 5: (45 Min) Administer T-5: (1 Hour) T-5 HW 5.5 Ex: 1-9 1-121/8 10/21 Tue HW 5.6 Ex: 1-5 1-101/6 10/22 Wed Review T-5 Review 7.1 & 7.2 HW 5.7 1-125/8 10/23 Thu End of Grading Period 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

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 Understanding The Unit Circle is vital for the students to begin to visualize Trigonometry, this should be done with dynamic presentations from the Internet as well as using the Unit Circle Sheet

Q-3 Trigonometry Honors Pacing Guide & Planning for 2014-2015
To Cover in Third Quarter Chapter 2 2.1 Basics of Functions & Their Graphs 2.2 More on Functions & Their Graphs 2.3 Linear Functions & Slope 2.4 More on Slope 2.5 Transformations of Functions 2.6 Combinations of Functions & Composite Functions Chapter 9 9.1 Matrix Solutions to Linear Systems 9.2 Inconsistent & Dependent Systems & Appl. 9.3 Matrix Operations & Applications 9.4 Multiplicative Inverses of Matrices & Matrix Eq 9.5 Determinants & Cramer’s Rule Chapter 3 3.1 Quadratic Equations 3.2 Polynomial Functions & Their Graphs 3.3 (÷) Polynomials, Remainder & Factor Theorem 3.4 Zeroes of Polynomial Functions Understanding The Unit Circle is vital for the students to begin to visualize Trigonometry, this should be done with dynamic presentations from the Internet as well as using the Unit Circle Sheet

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 Understanding The Unit Circle is vital for the students to begin to visualize Trigonometry, this should be done with dynamic presentations from the Internet as well as using the Unit Circle Sheet