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Sequences and Functions | High School Math, Module 1

Class
Avrila at Math With Avrila
Average rating:4.9Number of reviews:(8)
In this 4-week course, learners will learn about sequences and functions, launching their algebra studies to new heights.

Class experience

US Grade 9 - 12
Learners will define quantities and interpret expressions.
Learners will represent arithmetic and geometric sequences with equations, tables, graphs, and story context.
Learners will understand arithmetic sequences as having a constant difference between consecutive terms.
Learners will understand geometric sequences as having a constant ratio between consecutive terms.
Learners will find, understand, and use initial values of arithmetic and geometric sequences.
Learners will understand arithmetic sequences as increasing or decreasing at a constant rate.
Learners will compare rates of growth in arithmetic and geometric sequences.
Learners will write and use recursive and explicit equations for arithmetic and geometric sequences, including function and sequence-term notations.
Learners will use rate of change to find missing terms in an arithmetic sequence.
Learners will use a constant ratio to find missing terms in a geometric sequence.
Learners will develop fluency with geometric and arithmetic sequences.
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 for each lesson. Assignments, quizzes, and tests will be in TeacherMade. Occasionally, such as to clear group time for interactive tasks, learners will be assigned informational videos to watch outside class time. Some videos will be optional, over topics that learners may or may not already know from previous studies.
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 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, Sequences
OpenStax Mathematics
Average rating:4.9Number of reviews:(8)
Profile
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

$57

weekly or $225 for 12 classes
3x per week, 4 weeks
50 min

Completed by 1 learner
Live video meetings
Ages: 11-16
1-12 learners per class

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