Honors Algebra 2 & Trigonometry

Pacing Guide: Chapter 12 - Sequences, Series, and Probability

For a couple of weeks, the class will be learning about circles, ellipses, hyperbolas, and special parabola scenarios.

-Section 12.1   Sequences and Series: May 7 - May 11

-Section 12.2   Arithmetic Sequences and Series: May 12

-Section 12.3   Geometric Sequences and Series: May 13

-Section 12.7   Introduction to Probability: May 14 - May 19

(MAP Testing - May 18)

- Final Exam Reviews: May 20 - May 22

- Final Exam: May 27

All Assignments can be viewed in the Canvas portion of the class. (Two weeks are posted.)

This week, the students will review past math concepts, study for a test and begin sigma notation. The homework from this week on Thursday and Friday will be submitted for grading on Monday, May 18.

This is the schedule for this week:

Monday, May 4: 

Students will be studying parabolas.

Homework:

Complete problems #35 - #41 (odd problems), #42, and #46 on page 995.

Tuesday, May 5: 

Students will be reviewing for Monday's test.

Homework: Complete the review handed out in class and attached in Canvas. 

Wednesday, May 6: 

Students will be completing the 5th test of the semester.

Homework:

None

Thursday, May 7: 

Students will be studying sequences and series.

Homework:

Complete problems #1 - #6 (ALL problems), #7 - #19 (odd problems), and #21 - #27 (ALL problems) on pages 1057 and 1058.

Friday, May 8:

Students will be studying sequences and series.

Homework:

Complete problems #33 - #55 (odd problems), and #57 - #60 (ALL problems) on page 1059.

The homework from this week on Thursday and Friday will be submitted for grading on Monday, May 18.

This week, the students will be finalizing their study of series, summations, and sigma notation and probability. All homework from this week will be submitted for grading on Tuesday, May 19. (MAP testing is on Monday, May 18.)

This is the schedule for this week:

Monday, May 11: 

Students will be studying sequences and series.

Homework:

Complete problems #61 - #69 (odd problems), #75 - #83 (odd problems), #91, and #93 on pages 1059 - 1060.

Tuesday, May 12: 

Students will be studying arithmetic series.

Homework:

Complete problems #1 - #6 (ALL problems) and problems #41 - #63 (odd problems)  on pages 1068 to 1070.

Wednesday, May 13:

Students will be studying geometric series.

Homework:

Complete problems #1 - #8 (ALL problems)  #9 - #29 (odd problems) problems, and #49 - #57 (odd problems)on pages 1080 to 1082.

Thursday, May 14: 

Students will be studying probability.

Homework:

Complete problems #1 - #9 (ALL problems) and #17 - #26 (ALL problems) on pages 1119 and 1120.

Friday, May 15: 

Students will be studying probability.

Homework:

Complete problems #27 - #41 (odd problems) on page 1120.

All homework from this week will be submitted for grading on Tuesday, May 19. (MAP testing is on Monday, May 18.)

This week, the students will be finalizing their study of probability. All homework from this week will not be submitted for grading, but will be used as a resource for the final exam on Wednesday, May 27.

This is the schedule for this week:

Monday, May 18: 

Students will be completing MAP testing... no class.

Tuesday, May 19: 

Students will be finalizing lessons on probability.

Homework:

Complete problems #45 - #69 (odd problems) on pages 1121 and 1122.

Wednesday, May 20: 

Students will be reviewing for the final exam.

Homework:

Complete the following problems on page 1130 - #89, #91, #101, #103. Complete the practice worksheets handed out in class and attached in Canvas. 

Thursday, May 21: 

ECA Graduation Day... no class.

Friday, May 22: 

Students will be reviewing for the final exam.

Homework:

Complete the following problems on page 1130 - #89, #91, #101, #103. Complete the practice worksheets handed out in class and attached in Canvas. 

HONORS ALGEBRA 2 AND TRIGONOMETRY - 2025/2026

Course Instructors: John Glaser and Lorena Glaser

Emails: glaser_j@aps.edu and glaser_l@aps.edu

COURSE OVERVIEW:  The Honors Algebra 2 and Trigonometry class is designed to be a later high school math course that expands foundations in algebra and trigonometry to prepare students for future advanced math classes like AP Calculus AB and AP Statistics. The course covers functions and their graphs, multiplication and division of polynomials, exponent and logarithmic systems, quadratic equations, rational expressions, and trigonometric math. This class is designed to bridge a gap that has occurred since the Covid-19 lockdowns where many incoming calculus students have had major gaps in their math skills. These recent math skill gaps have limited many students’ success in AP Calculus AB. This class is designed to address those gaps before students join the AP Calculus AB class next year.

LEARNING OUTCOMES/INSTRUCTIONAL OBJECTIVES:  The purpose of math is to help students develop problem-solving and critical-thinking skills. Learning more algebra and trigonometry concepts helps students to analyze and model real-world phenomena and relationships, and to analyze and communicate their thinking processes. This course focuses on improving students’ understanding of content and skills learned in early high school, deepening students’ understanding of mathematical models for complex real-world applications, improving students’ problem-solving strategies, and improving students’ ability to communicate their mathematical reasoning using mathematical and verbal responses.

More specifically, upon successful completion of this course, the student will have acquired the following knowledge and skills:

• Demonstrate the fundamental principles of complex algebra, geometry, and trigonometry. 

• Understand the concepts of functions and their graphs.

• Describe the properties of different functions and their graphs. 

• Describe the relationship between the different mathematical situations and how they relate to each other.

• Understand and compute the different aspects of algebra and geometry. 

• Apply math skills to solve mathematical problems and/or situations. 

• Construct and analyze graphs from raw data. 

• Analyze graphical representation of data. 

CLASS TEXTBOOK: Our class textbook will be College Algebra & Trigonometry (2017) by Julie Miller and Donna Gerken. We will have class sets in the classroom to use and students will check out a book from ECA to keep at home.

COURSE POLICIES AND PROCEDURES:

Daily attendance to the class is imperative. New concepts will be introduced every class and missed material may vitally impact future learning in the class. Homework can be expected every day. For the first semester, 30-45 minutes of homework will be typical. For the second semester, 30-60 minutes of homework will be typical. 

Students are expected to keep a binder in which all notes, classwork, and homework will be kept. Since this class is a somewhat college-preparatory class, the homework will be given daily, but occasionally the homework will be due in groups of assignments. Students are expected to turn in the homework for grading on the day the assignment is due. Late homework can be submitted one day late with a 10% penalty, per ECA late homework policies.

STUDENT SUPPLIES NEEDED FOR ALGEBRA 2

• Three-ring binder or spiral notebooks

• Notebook paper

• Graphing paper

• Pencils

• Graphing calculator (A class set of TI-Inspire calculators will be in the classroom.)

• Compass

• Protractor

CLASS GRADE BREAKDOWN

This class is designed to bridge a gap that has occurred since the Covid-19 lockdowns that shown that many incoming calculus students have had major gaps in their math skills that have limited success in calculus. This class’s grading structure will be close to the grading structure of ECA’s AP Calculus AB class to help those future calculus students be successful in the future.

Tests and quizzes – 50% of overall average

Classroom work  – 30% of overall average

Final exam – 20% of overall average

Other ECA/CEC Policies

Cell phone policy: At ECA/CEC, inappropriate cell phone usage is not allowed in the classroom.  If Mr. Glaser notices a student is using a cell phone without permission, he will confiscate the phone and return the phone to the student at the end of class. Repeated violations can result in Mr. Glaser giving a student’s cell phone (or other devices) to the administration. The school’s policy on cell phone retrieval will then need to be followed by the student or the parent to have the phone returned.   

Tardy policy: Students are expected to be on time to their classes. Tardy students will not be allowed to enter the class. They will be sent to the administrative offices, per ECA/CEC policy. Students who are occasionally tardy will miss important information that may not be repeated later in the class.