Teacher: Fred Kral, Ph.D.

Email me: fkral
Call school: 415-339-9336
Get info: https://teach.kralsite.com and https://classroom.google.com

Course Description

Geometry is the study of points, lines, angles, shapes, surfaces, and solids. Topics include planes, triangles, polygons, parallelism, congruency, similarity, circles, area and volume, symmetry, and transformations. Mathematical ideas are communicated using graphical (drawings, graphs, sketches, geometric constructions), numerical (tables, patterns, calculations), algebraic (formulas, symbolic reasoning, solutions), and verbal approaches (conjectures, proofs, explanations, self-reflection). Applications and hands-on activities are integral parts of the course.

Text and supplemental materials

Expected School-wide Learning Results (ESLRs):

Students at TMS have the opportunity to become:  1. Self-reliant learners. 2. Self-directed individuals. 3. Critical and creative thinkers. 4. Effective communicators. 5. Responsible members of society. Each of the components of this course prepare students to obtain results 1-4.


  Grades are determined by points, roughly 1,000 per quarter. ESLRs
In-Class Work:
  • Making it: (–2 points/absence beyond the first two)
  • Joining in: Safe, Space, Time, True; Lights, Camera, Action; Phone-away, Packet, Pencil/stylus are a short-hand for remembering foundational Handbook rules and our top secret tips for effective students.
  • Working with: Contributing positive energy and interest level during in-class work including discussing, problem solving, spending time learning online, working on investigations and projects, using notes, reflecting, and practicing during class. Assessed informally. Earned by students who joined in.
25 points/week (about 20% of the course) 2, 3, 4
Products: written work (solutions to exercises and problems, notes, and reflections), online results, constructions, drawings, and projects. 40 points/unit (or about 20 points/week) plus 20-50 points/project depending on scope 1, 2, 3, 4
Portfolio: Assembled from the Products, representing the best work of the quarter: projects, quizzes, midterm, correctness and quantity of problems solved. 150 points/quarter 1, 2, 4
Quizzes: written and graphical solutions to problems. 25-50 points/quiz depending on the scope 1, 2, 3
Midterms: written and graphical solutions to problems. These exams are given twice during the course. 150 points/midterm but no more than 15% of the course grade 1, 2, 3
Final Project: product and process for a multi-part, multi-step assignment at the end of the course. 100 points/quarter (or 200  points at the end of the course) 1, 2, 3, 4
Commitment to learning: Taking on what is challenging to you, getting help, communicating with the teacher, engaging with the material, and taking personally meaningful notes. Assessed informally. 100 points per quarter, if it raises the grade 1, 2, 3, 4

Safety policy: only use equipment when and as instructed

Late work policy

The teacher enters grades once per week. Students get credit for late or partial work up to that weekly deadline.

Cell phone, computer, and device policy

Devices are not allowed in class, except by explicit permission to do class work. In the remote classroom, phones may be used to photograph your work. Personal and school computers shall be used for only for class. The Marin School supports the responsible use of technology. See the Parent and Student Handbook.

Collaboration policy

I encourage study groups. You may work with others (not just students) unless instructed otherwise as long as all of you contribute. It is wise to put the name of each contributing student on an assignment to avoid issues with plagiarism.


Please connect and email! – Fred