Stick It in a Box: Polynomial Multiplication and Division Made Easy
Avrila at Math With Avrila
Average rating:4.9Number of reviews:(7)
In this 4-session class, learners will grasp and practice visual methods for dealing with polynomial operations and related equations and functions.
Class experience
US Grade 8 - 11
Each session will start with warm-up problems, giving learners time to settle in. After going over the warm-up problems together, as well as any questions on homework problems, we will cover the day's main topic: Session 1: Multiplying Polynomials Session 2: Factoring Polynomials Session 3: Dividing Polynomials Session 4: Completing the Square During group activities, learners will interact with the teacher and each other through verbal discussion and slides designed to be written on and...
Learners will use the box method to multiply polynomials. Learners will use the box method and splitting the middle term compatibly with the last term to factor polynomials. Learners will use the box method to divide polynomials. Learners will use the box method, splitting the middle term in half, and considering the remainder to complete the square. Learners will solve quadratic equations by factoring or completing the square. Learners will be aware of connections between graphs of polynomials and factored and complete-square forms of the same polynomials, such as factors/roots and complete-square/transformations. Learners will be aware of connections between the long run behavior of a rational function and its division-simplified form.
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 practice problems in TeacherMade after each session. After session 2, practice problems will include solving quadratic equations, and after session 4, any quadratic equation may be considered. After session 3, practice problems will include long-run behavior of rational functions (i.e. limits toward infinity, an early calculus topic).1 - 2 hours per week outside of class
Assessments Offered
Grades Offered
Scratch paper and pencils, or a whiteboard and markers. For writing in the Explain Everything meeting, as well as drawing on the TeacherMade homework pages, a touchscreen device or graphics tablet is beneficial, but learners can get by with mouse and keyboard. 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 homework 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.
OpenStax Mathematics
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
$60
for 4 classes2x per week, 2 weeks
50 min
Live video meetings
Ages: 13-18
1-12 learners per class
