Transformations and Congruence | Prealgebra, Unit 1
Avrila at Math With Avrila
In this 4 week class, the first month of a prealgebra curriculum, learners will explore geometry and practice calculations.
US Grade 5 - 8
During group activities, learners will interact with the teacher and each other through verbal discussion and slides designed to be written on and organize our thinking, not just looked at. (Learners can either annotate from within Zoom, which will be reset as we move between slides but preserved in the session recording, or request the Explain Everything link, which will let them write directly on the board. Learners' contributions will be monitored for appropriateness, safety, and...
Learners will recognize, describe, and apply simple rigid transformations (reflections across a line, rotations around a point, and translations by a vector). Learners will use coordinate graphing with simple rigid transformations. (Rotation by angles requiring trigonometry is NOT an expectation in this unit.) Learners will use and understand sequentially applied simple rigid transformations. Learners will be familiar with properties of rigid transformations, and understand congruence as related to an original figure and its image under a rigid transformation (which may be the result of a sequence of simple rigid transformations). Learners will compare rigid and non-rigid transformations. Learners will draw triangles and other polygons based on stated requirements such as side lengths or angle measurements in degrees.
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 OfferedLearners will have homework in TeacherMade and Bolster regularly, sometimes with links to GeoGebra. Tasks will include independent practice, preparation for upcoming lessons, and taking in information in written or video clip form.
2 - 4 hours per week outside of class
Scratch paper and pencils, or a whiteboard and markers. 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.
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. Learners do not need an account but do provide their names to access the activity. 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. Bolster is a math practice webapp designed for school use. Prodigy is a gamified math practice webapp. Using it is not required but offered.
Illustrative Mathematics, Accelerated Grade 7, Unit 1 OpenStax Mathematics
Meet the teacher
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...
$57weekly or $225 for 12 classes
3x per week, 4 weeks
Completed by 2 learners
Live video meetings
1-12 learners per class