CLASS DESCRIPTION

[This is the first semester of Algebra (The Art of Problem Solving). It is a semester-long class that will meet twice a week for 15 weeks beginning on Aug 26th. ]

LEARN BY SOLVING PROBLEMS
We believe that the best way for students to learn mathematics is by solving problems. In fact, we believe that the best way for students to learn mathematics is to try to solve problems that they don’t know how to do. When students discover something on their own, they’ll understand it much better than if someone just tells them.

This class focuses on guiding students through creative problem-solving and on teaching them to apply their knowledge in a wide variety of scenarios rather than rote memorization of mathematical facts. It is aimed at, but not limited to, high-performing students and goes further in-depth and teaches new concepts not otherwise taught in traditional public schools.

Topics covered in the class include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more! The class is structured to inspire the learner to explore and develop new ideas.

Before each class, problems will be posted on the classroom wall, giving the student a chance to solve them without help before proceeding. The class will then cover solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem-solving approaches are highlighted throughout the class.

HOMEWORK AND NOTES
Learners will be required to make a serious attempt at solving the problems posted on the classroom wall before joining the class. Skipping over this step, allows the learner to use the solution presented in class as a crutch to avoid really thinking about the problems first. Students should think hard about a problem before deciding to give up and learn the solution in class.

In order to build a reference library which the student can use when working on homework, (s)he will be required to take notes. This will ensure greater success when the student is working independently.

EXTRA STUDENT SUPPORT
Students who struggle to complete the required homework are encouraged to discuss study skills and expectations with their teacher. A support session each week is available for students requiring extra support or homework help. Families may choose to enroll their learner in this extra support class each week, or as needed, to ensure their student’s success.

PREREQUISITE
Algebra I placement test required.

OUR APPROACH TO MATHEMATICS
Polyhistoria’s mathematics curriculum provides students with a foundation in logical and quantitative thinking and helps them develop the ability to reason and think clearly. Our math teachers help students embrace challenges, learn to work collaboratively and become creative in developing problem-solving strategies.

Polyhistoria mathematics curriculum aims to help students become competent problem-solvers—able to use technology as a tool for investigation and exploration—and understand mathematical concepts analytically, numerically and graphically. Our flexible course sequencing allows students to select the courses that suit their needs. Students may enroll in any Polyhistoria mathematics course they choose with appropriate preparation and after meeting course requirements.

ENROLLMENT REQUIREMENTS
1) Students’ cameras and microphones must be turned on during the class.
2) This class requires the continuous use of logical thinking & hypothetical reasoning skills to critically analyze the topics covered in the class. These cognitive functions are generally not sufficiently developed until a student is 13+ years old. Students must have the ability to think critically and logically to analyze the topics covered in the class.
3) Algebra I placement test is required prior to enrollment.

CLASS FORMAT
This class is designed to include lots of interaction and discussion. It is an interactive class, one in which the student will be able to freely ask and answer questions. Therefore, students need to have a working camera and microphone turned on during the class.

LEARNER TIME
2 hours per week in class, and an estimated 1-2 hours per week outside of class.

SUBJECTS
Algebra, Math

Meets twice a week for 15 weeks
4 – 9 learners, ages 13-17

COURSE SCHEDULE

Mon Aug 26, 9am – 10am Mountain

Tue Aug 27, 9am – 10am Mountain

Mon Sep 2  (NO CLASS)   Labor Day

Tue Sep 3, 9am – 10am Mountain

Mon Sep 9, 9am – 10am Mountain

Tue Sep 10, 9am – 10am Mountain

Mon Sep 16, 9am – 10am Mountain

Tue Sep 17, 9am – 10am Mountain

Mon Sep 23, 9am – 10am Mountain

Tue Sep 24, 9am – 10am Mountain

Mon Sep 30, 9am – 10am Mountain

Tue Oct 1, 9am – 10am Mountain

Mon Oct 7, 9am – 10am Mountain

Tue Oct 8, 9am – 10am Mountain

Mon Oct 21, 9am – 10am Mountain

Tue Oct 22, 9am – 10am Mountain

Mon Oct 28, 9am – 10am Mountain

Tue Oct 29, 9am – 10am Mountain

Mon Nov 4, 9am – 10am Mountain

Tue Nov 5, 9am – 10am Mountain

Mon Nov 11, 9am – 10am Mountain  Veterans Day

Tue Nov 12, 9am – 10am Mountain

Mon Nov 18, 9am – 10am Mountain

Tue Nov 19, 9am – 10am Mountain

Mon Dec 2, 9am – 10am Mountain

Tue Dec 3, 9am – 10am Mountain

Mon Dec 9, 9am – 10am Mountain

Tue Dec 10, 9am – 10am Mountain

Mon Dec 16, 9am – 10am Mountain

Tue Dec 17, 9am – 10am Mountain

Wed Dec 18, 9am – 10am Mountain

This class meets 30 times.

CHERI AMRINE

I am a teacher and have been teaching since 1998. I live in Colorado, where I earned a master’s degree, and my principal licensure in educational leadership from the University of Denver. I taught mathematics, literature & writing (amongst other things) to High School students for over a dozen years, and had a life-changing experience when I moved to the mountains with my husband. Arriving at this location— the home of (primarily) brown bears and deer— I declared myself to be a full-time online educator. It soon became evident that few persons in the mountains overheard the declaration, but through the far-reaching wonders of Polyhistoria, I am now able to combine the joys of peaceful mountainous solitude with my husband and my passion for teaching.

HAVE DOUBTS, QUESTIONS, OR SUGGESTIONS?
Feel free to send me an email at Cheri@polyhistoria.com

Semester Course Enrollment
$520 USD per learner SAVE $130!
$390 USD per learner for 15 weeks (30 classes)
Starts on Mon Aug 26 at 9am Mountain

Weekly Support Class Enrollment
$18 USD per learner, per week

(This additional support class is available each week for students requiring extra support or homework help.)

Meets Fridays at 12:30-1:30 Mountain