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Trigonometry Honors Pacing Guide & Planning for 2014-2015.

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Presentation on theme: "Trigonometry Honors Pacing Guide & Planning for 2014-2015."— Presentation transcript:

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3 Trigonometry Honors Pacing Guide & Planning for

4 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.

5 Things We Always Do In Math – So We Need to Master Them 1) Distribute8) Combine Like Terms 2) Foil9) Swap & Solve [Inverse Functions] 3) Solve10) Apply Rules [Exponents – Radicals – Logs] 4) Factor11) Graph [Linear, Non Linear Eq & Inequalities] 5) Simplify 12) Apply Formulas a) (x ± y) 2 = x 2 ± 2xy + y 2 b) (x 2 - y 2 ) = (x + y) (x – y) c) (a 3 ± b 3 ) = (a ± b) (a 2 +ab+b 2 ) d) (x 2 + y 2 ) = (x + y i ) (x – y i ) e) Quadratic Formula 6) Grouping & Factoring Polynomials 7) Domain & Range [ Linear, Quadratic & Rational Equations ] 13) Dividing Polynomials ( Long Division & Synthetic Division )

6 Trigonometry Honors Pacing Guide & Planning for

7 WeekMonthFromTo 1 August August September September September September / October293 8 October610 9 October October2024

8 Grading Scale Tests40% Regular Quizzes15% Pop Quizzes 15% Homework Assignments10% Special Homework Assignments 10% Class Participation 5% School Supplies 5%

9 Cell Phones 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 ]

10 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 ]

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12 Q-1 Trigonometry Honors Pacing Guide & Planning for 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

13 I) August 18 to September 19 [Weeks 1 to 5] Angles and Radian Measures Right Angle Trigonometry Trigonometric Functions of Any Angle (Unit Circle) 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

14 I) August 18 to September 19 [Weeks 1 to 5] Angles and Radian Measures - Examples: / Right Angle Trigonometry - Ex: / Trigonometric Functions of Any Angle (Unit Circle) - Ex: / 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: / 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

15 Date Day P To CoverPeriods 1, 2 & 5 Q/THW 8/18 Mon 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 Ex: /8 8/19 Tue 2 – 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 8/20 Wed 3 – Classroom Management Needs 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 Classroom Management Needs 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 - Announce a test on 5.1 for Wednesday Announce T 5.1 for Wednesday HW Ex: /6 8/21 Thu 4 – /22 Fri 5 – 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-1Trigonometry Honors Pacing Guide & Planning for Wk-1 [August 18-22]

16 Date Day P To CoverPeriods 1, 2 & 5Q/THomework 8/25 Mon 6 – 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 Ex: /8 8/26 Tue 1 – Review: Section 5.1 (45 Minutes) Administer: T-5.1 (1 hour) T-5.1 8/27 Wed 2 – Review: Section 5.1 (45 Minutes) Administer: T-5.1 (1 hour) T-5.1 8/28 Thu 3 – Review: T-5.1 Review: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom HW Ex: /6 8/29 Fri 4 – Review: T-5.1 Review: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom Q-1Trigonometry Honors Pacing Guide & Planning for Wk-2 [August 25 – 29]

17 Date Day P To CoverPeriods 1, 2 & 5Q/THomework 9/01 Mon No School 5.1 Angles & Radian Measures 5.2 Right Angle Trigonometry 5.3 Trig Functions of Any Angle No School Labor Day HW Ex: /8 9/02 Tue 5 – 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 – Review: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom T-5.2 Fri HW Ex: /6 9/04 Thu 1 – Review: 5.2 and any problem in Home Exercises Administer: T-5.2 T-5.2 9/05 Fri 2 – Review: 5.2 and any problem in Home Exercises Administer: T-5.2 T-5.2 HW Ex: /8 Trigonometry Honors Pacing Guide & Planning for Wk-3 [September ]

18 Date Day P To CoverPeriods 1, 2 & 5Q/THomework 9/15 Mon 3 – 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 Ex: /8 9/16 Tue 4 – Introduce 5.3 – Trig Functions of any angle HW Ex: /6 9/17 Wed 5 – Review 5.3 – Trig Functions of any angle – Review Problems from HW Exercises T-5.14 Fri HW Ex: /8 9/18 Thu 6 – Review 5.3 – Trig Functions of any angle – Review Problems from HW Exercises Test T 5.14 Mon HW Ex: /4 9/19 Fri 5 – Review 5.3 Administer T-5.14 Test T 5.14 Q-1 Trigonometry Honors Pacing Guide & Planning for Wk-4 [September ]

19 Date Day P To CoverPeriods 1, 2 & 5Q/THomework 9/22 Mon 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 Ex: /8 8/16 Tue 2 – Review T-5.13 Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions HW Ex: /6 8/17 Wed 3 – Review T-5.13 Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions Test T 5.14 Fri HW Ex: /8 8/18 Thu 4 – Early Release Review 5.4: Trig Functions of Real Numbers & Periodic Functions Test T 5.14 Mon HW Ex: /4 9/19 Fri 5 – Review 5.4 (45 Min) Administer T-5.14 (1 hour) T 5.14 Q-1 Trigonometry Honors Pacing Guide & Planning for Wk-5 [September ]

20 Date Day P To CoverPeriods 1, 2 & 5 Q/ T Homework 9/22 Mon 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 Ex: – 79/4 9/23 Tue 2 – Review T-5.14 Introduce 7.1: The Law of Sines 9/24 Wed 3 – Review T-5.14 Introduce 7.1: The Law of Sines 9/25 Thu TPD No Classes Teacher’s Planning Day HW – 7.2 Ex: – 67/4 9/26 Fri 4 – Review 7.1: The Law of Sines (45 Min) Administer T-7.1 (1 hour) Q-1 Trigonometry Honors Pacing Guide & Planning for Wk-6 [September ]

21 Date Day P To CoverPeriods 1, 2 & 5Q/THomework 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 Ex: – 79/4 9/30 Tue Review: T-7.1 Introduce: 7.2 T-7.2 Thu 10/01 Wed Review: T-7.1 Introduce: 7.2 T-7.2 Fri 10/02 Thu Review T-7.2 (45 Min) Administer T-7.2 (1 hour) T-7.2 HW – 7.2 Ex: – 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 Wk-7 [Sep 29 – Oct 3]

22 Date Day P To CoverPeriods 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: /8 10/07 Tue Introduce 5.5 & 5.6: Graphing the 6 Trig Functions Classwork: Have the class in groups graphing [Group Grading] HW 5.6 Ex: /6 10/08 Wed Introduce 5.7: Inverse Trig Functions Introduce 5.8: Applications Trig Functions HW 5.7 Ex: /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 Classwork: Have the class in groups graphing [Group Grading] HW 5.8 Ex: /4 10/10 Fri Early Release HW 5.R 1-117/8 Q-1 Trigonometry Honors Pacing Guide & Planning for Wk-8 [October ]

23 Date Day P To CoverPeriods 1, 2 & 5Q/T Homewor k 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: /8 8/17 Tue 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] Q- Graph HW 5.6 Ex: /6 8/18 Wed 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] Q- Graph HW 5.7 Ex: /8 8/19 Thu Review 5.7: Inverse Trig Functions Review 5.8: Applications Trig Functions Administer T-5.78 T-5.78 HW 5.8 Ex: /4 8/20 Fri 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 Q-1 Trigonometry Honors Pacing Guide & Planning for Wk-9 [October ]

24 Date Day P To CoverPeriods 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: /8 10/21 Tue Review Chapter 5: (45 Min) Administer T-5: (1 Hour) T-5 HW 5.6 Ex: /6 10/22 Wed Review T-5 Review 7.1 & 7.2 HW 5.7 Ex: /8 10/23 Thu End of Grading Period Review T-5 Review 7.1 & 7.2 HW 5.8 Ex: /4 10/24 Fri TPD No Classes Teacher’s Planning Day HW 5.R 1-117/8 Q-1 Trigonometry Honors Pacing Guide & Planning for Wk-10 [October ]

25 Q-2 Trigonometry Honors Pacing Guide & Planning for To Cover in Second Quarter Chapter 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 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

26 Q-3 Trigonometry Honors Pacing Guide & Planning for To Cover in Third Quarter Chapter 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 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 Quadratic Equations 3.2 Polynomial Functions & Their Graphs 3.3 (÷) Polynomials, Remainder & Factor Theorem 3.4 Zeroes of Polynomial Functions

27 Q-4 Trigonometry Honors Pacing Guide & Planning for To Cover in Fourth Quarter Chapter 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


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