Fundamentals of Mathematics

For each skill instructors have determined whether it is a prerequisite skill or a skill to be developed throughout the course. For lower school, instructors indicate where parent support is expected.

• With Parent Support: Skills that most lower school students will need help with.
• Developing: Skills that the instructor will help develop and emphasize throughout the year.
• Mastered: Prerequisite skills that the instructor is expecting students to possess.

Mathematics

• All Foundation Courses prerequisite skills
• Understand, Compare, and Order Integers
• Absolute Value and Distance
• Divide by Fractions and Mixed Numbers
• Understanding Ratios and Equivalent Ratios
• Understanding Rates and Unit Rates
• Understanding Percentage, including > 100% & < 1%
• Relate Percentage, Decimals, and Fractions
• Find the Percent of a Number
• Writing, Interpreting, and Evaluating Numerical Expressions
• Identify and Write Equivalent Expressions
• Solve One Step Equations
• Understand Inequalities
• Graphical Displays incl. Dot and Box Plots and Histograms
• Measures of Central Tendency: mean, median, mode
• Interquartile Range
• Area of all Polygons
• Surface Area of Prisms and Pyramids
• Calculate Squares and Square Roots

Canvas

• Developing
  • Be responsible for reviewing teacher feedback, suggestions and comments about student work and employing that feedback as necessary.
  • Be able to manage Canvas assignments and submissions (view assignments, check for teacher messages, submit homework as pdf file, submit revisions if necessary, set Canvas notifications for the class, view class notifications when posted, etc.).
  • Be able to review notifications ongoing throughout the year; notifications which include: class announcements, homework assignments, due dates, instructor comments made on assignments, instructor comments made on individual student submissions, instructor comments made on graded items, etc.
  • Be able to respectfully and wisely engage with other students and the instructor on Canvas discussion boards.
  • Be able to respectfully, wisely and formally engage with instructor through private Canvas messaging.
  • Be able to set notifications settings to alert the student of class announcements, homework assignments, due dates, instructor comments made on assignments, instructor comments made on individual student submissions, instructor comments made on graded items, etc.

Writing

• Developing
  • Be able to build and use alphanumeric outlines as part of the writing process.
  • Be able to self-edit written submissions for grammar and spelling mistakes.
  • Be able to employ the feedback of the instructor into future edits and submissions of the assignment.
  • Be able to build well organized paragraphs which employ (among other skills) topic sentences, transition sentences, clear linear thinking throughout the essay.
  • Be able to build a logical, well-reasoned argument through a written essay providing sound reasoning (i.e. true premises, valid arguments, sound conclusions).
  • Be able to request a family or peer to edit submissions, but understands these requests should be for the purposes of raising important questions for the student to consider and suggesting minor edits. The student understands that family or peer editors should not be reworking of sentences, redefining terms, building new concepts, building arguments or writing passages for the student.
• Mastered
  • Be able to hand-write answers in complete sentences.
  • Be able to write sentences with basic sentence syntax (i.e. capitalization of first word in a sentence, punctuation at the end of each sentence, space between sentences, capitalization of proper nouns, each sentence having a subject and predicate, etc.).
  • Be able to spell at grade level and employ course vocabulary cumulatively throughout the course.

Reading

• Developing
  • Be able to read material independently and identify questions which require clarification or further explanation from the instructor.
  • Be able to mark, underline or highlight important words, definitions or concepts within a text being read both while reading independently and reading corporately as a class.
  • Be able to identify key terms in a passage, and follow the author’s argument.
  • Be able to listen to the author’s argument and understand it even if the student disagrees with the conclusion reached or reasons given.
  • Be able to read material independently and identify the information which might be relevant to course discussions and objectives (even if the student doesn’t fully understand all of what’s being read).

Typing

• Developing
  • Be able to employ basic MLA formatting skills (i.e. 1-inch margins, double spacing, heading on paper).
  • Be able to employ MLA citations for (for quoted material and referenced material) through the use of footnotes or endnotes, bibliography, work-cited page. Student should have a concept of what plagiarism is and know how to avoid it.
• Mastered
  • Be able to type short answers in complete sentences.
  • Be able to type paragraph essays (short essays, and 5 or more page essays).
  • Be able to type short answers using numbers, mathematics symbols, and words (depending on the instructor’s format of class practice)

In-Class

• Developing
  • Follow class discussions and seminar conversations to record notes without the instructor identifying specifics.
  • Be prepared to generate thoughtful questions to enhance the class discussion, to identify areas needing clarification, and to make valuable connections with other course content.
  • Be prepared to volunteer thoughtful comments, answers and ideas in a group setting, during class.
  • Explain problem solving process verbally.
  • After the instructor has provided instructions – the student should be able to use Wacom tablet (or other like iPad) to actively solve math problems during class, viewable to the instructor on Ziteboard.
• Mastered
  • Follow along with instructor-led note-taking and record notes during class.
  • Follow along with instructor-led workbook completion and record answers during class.
  • Be prepared to thoughtfully answer questions when called on in a group setting, during class.

Study

• With Parent Support
  • Be able to schedule time outside of class to complete independent review of materials.
  • Be able to determine the best places and ways to study at home (i.e. quiet, undistracted, utilizing various methods of review (auditory, written, visual, practice tests, flashcards, etc.).
• Mastered
  • Be responsible to study at home for quizzes, tests and other assessments.
  • Understand the difference between assignments given by an instructor and the necessary and independently initiated need for private study of material.
  • Be able to schedule and manage multiple projects from multiple instructors and courses

Required Materials:

• REVEAL Math Course 2 Student Bundle (Digital Subscription, Volume 1 and Volume 2 printed books)
  • *Required texts are not included in the purchase of the course.
• Personal Size Dry-erase Board with Markers
• Three-ring Binder
• Loose-leaf Filler Notebook Paper
• Loose-leaf Filler Graph Paper
• 5 Divider Tabs
• Sharpened Pencils, Highlighter, Basic Set Colored Pencils/Crayons
• Ruler with Customary and Metric Markings
• Protractor
• Additional materials and/or manipulatives may be requested by the instructor prior to a particular class session

*Required text not included with course purchase.

Joelle Riethmiller believes true education impacts the body, mind, and soul of an individual through all subject areas and promotes personal and virtuous growth through life-long learning. Mrs. Riethmiller received a BS in Mathematics-Mathematics Secondary Education from Grove City College (1999). While teaching seventh and eighth grade mathematics in public school, she earned a M-ED in Curriculum and Instruction from Gannon University (2002). Mrs. Riethmiller chose to step away from the classroom in 2003 to focus her attention on her young and growing family. In 2007, she embarked on the home education journey with two of her three children. Continuing that journey, she is still experiencing the humbling beauty and depth of true and real life-long learning.

She believes her 20 years of sacramental marriage, parenting and home educating her now four children, and her personal faith journey have cultivated a desire to seek truth, beauty, and goodness in all aspects of life.

Mrs. Riethmiller strives to ignite a love for learning and desire for virtue in her students that ex-tends beyond the study of mathematics. She is thrilled to participate in the Scholè Academy mission to cultivate student learning that endures. jriethmiller.scholeacademy@gmail.com

Computer: You will need a stable, reliable computer, running with a processor with a speed of 1 GHz or better on one of the following operating systems: Mac OS X with Mac OS 10.7 or later; Windows 8, 7, Vista (with SP1 or later), or XP (with SP3 or later). We do not recommend using an iPad or other tablet for joining classes. An inexpensive laptop or netbook would be much better solutions, as they enable you to plug an Ethernet cable directly into your computer. Please note that Chromebooks are allowed but not preferred, as they do not support certain features of the Zoom video conference software such as breakout sessions and annotation, which may be used by our teachers for class activities.

High-Speed Internet Connection: You will also need access to high-speed Internet, preferably accessible via Ethernet cable right into your computer. Using Wi-Fi may work, but will not guarantee you the optimal use of your bandwidth. The faster your Internet, the better. We recommend using a connection with a download/upload speed of 5/1 Mbps or better. You can test your Internet connection here.

Webcam: You may use an external webcam or one that is built in to the computer. Webcam Recommendations: Good (PC only) | Best (Mac and PC)

Headset: We recommend using a headset rather than a built-in microphone and speakers. Using a headset reduces the level of background noise heard by the entire class. Headset Recommendations: USB | 3.5mm

Zoom: We use a web conferencing software called Zoom for our classes, which enables students and teachers to gather from around the globe face to face in real time. Zoom is free to download and easy to use. To download Zoom:

1. Visit zoom.us/download.
2. Click to download the first option listed, Zoom Client for Meetings.
3. Open and run the installer on your computer.
4. In August, students will be provided with instructions and a link for joining their particular class.