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Transformations and Symmetry
Avrila at Math With Avrila
Average rating:4.9Number of reviews:(7)
In this 4-week course, part of a high school Geometry or Integrated Math 1 course, learners will transform quadrilaterals and other figures using coordinate geometry and other ways of describing transformations.
Class experience
US Grade 9 - 12
We will use the Mathematics Vision Project Geometry/Secondary Math 1 module on Transformations and Symmetry as an outline and problem source, and occasionally various OpenStax math textbooks for additional problems and as a reference. Activities will follow approximately this schedule: Week 1: Introduction to rigid transformations, GeoGebra, and background information review — 6.1 and other materials Week 2: Slopes of perpendicular lines and working backwards — 6.2 and 6.3 Week 3: Writing...
Learners will define and understand rigid transformations (translations, reflections, and rotations). Learners will be aware of and use the relationship between pairs of slopes of lines and whether those lines are parallel or perpendicular. Given a rigid transformation, learners will draw an image from a preimage, or a preimage from an image. Given an image and preimage, learners will identify the rigid transformation (including composite) that generated the preimage from the image. Learners will understand symmetry as an image being identical to its preimage under a particular transformation, more general than the "lines of (reflectional) symmetry" taught to younger students. Learners will identify rotational and reflectional symmetry in geometric figures. Learners will describe types of quadrilaterals by their lines of reflectional symmetry and points and degrees of rotational symmetry.
I have a master's degree in math education for grades 5-12, as well as further graduate coursework in mathematics, and teach developmental, dual credit, and regular math classes for my local junior college.
Homework Offered
Learners will have homework after each class, mainly practice on concepts discussed in class and sometimes preview problems (clearly labeled) for upcoming classes to give them a chance to think over new ideas with plenty of time. To free up session time for interactive activities, learners may be assigned to watch informational videos. Some of these will be optional, covering ideas they may or may not remember from previous classes.2 - 4 hours per week outside of class
Assessments Offered
Informal formative assessment through discussion comments and homework corrections will be continuous throughout the unit. Shortly after the last meeting, parents will receive a progress report with all scores and a calculated numerical and letter grade. Parents can also get a copy of a draft progress report with work completed up to that point, upon request.Grades Offered
Scratch paper and pencils, or a whiteboard and markers. Learners will need to use GeoGebra and Miro interactively during Zoom sessions, either by using a single device such as a desktop or laptop computer which can load both Zoom and a web site simultaneously or by using a second device (such as a phone for the Zoom meeting and a Chromebook for the webapp). Learners who are preparing for college admissions are advised to keep a portfolio (digital or on paper) of major assignments and 2-3 different types of problems, fully worked, per routine assignment; the materials of the student's choice should be available for this from the beginning of class. Examples include a Google Drive or Dropbox folder, LibreOffice software (Writer and Math), a binder and hole-punched printer paper or a hole puncher, etc. If you may apply to multiple colleges, consider that a digital portfolio is easier to duplicate, and can be printed if a physical copy is wanted. For this class, learners can use GeoGebra exclusively as their graphing calculator. Learners with future plans involving taking exams like the SATs should consider getting and beginning to use a calculator approved for those exams as soon as possible.
In addition to the Outschool classroom, this class uses:
GeoGebra Classroom is a free site running the open-source GeoGebra dynamic geometry software in such a way as to sync to the cloud and allow the teacher to view learners' work. Accounts which allow learners to sign back in with full access to previous work are offered, but not required. Learners need to give a name either when entering the class code or when setting up their accounts so that I can find their work in the teacher interface; if they wish, such as for added privacy, a nickname or pseudonym is OK. TeacherMade is a site designed for school use which allows learners to access worksheets, tutorials, and practice problems. If they wish, such as for added privacy, learners can sign in using a nickname or pseudonym. Explain Everything is a shared whiteboard, similar to Google Jamboard but more flexible. Learners do not need an account and can access the board to write on it through a link. Learners who do not specifically want to write on the board don’t need to access Explain Everything at all – I will share the screen in Zoom and they can watch.
Mathematics Vision Project Secondary Mathematics One, Transformations and Symmetry Various OpenStax math books may also be used as reference materials
Average rating:4.9Number of reviews:(7)
Hello mathematicians, puzzlers, and other curious people! I'm a homeschool graduate, math professor, textile/sewing enthusiast, literary hobbyist, and general curious individual, here to share all of the above with the next generation. Math...
Group Class
$38
weekly or $150 for 8 classes2x per week, 4 weeks
50 min
Live video meetings
Ages: 12-17
1-12 learners per class
