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Foundational Math V

Placement Information

Placement Process
One critical factor for restful learning is the proper placement of students. If you are unsure which level is the best fit for your student, reach out to the instructor you are considering. Once registered, anticipate contact regarding placement evaluations from instructors by May 15th and throughout the summer. Students must be registered to enter the placement process. Early placement exams may allow time for tutoring or additional review based on the outcomes. See more about placement evaluations in our Student-Parent Handbook.

Math Placement Process
For registered students, please anticipate contact regarding placement evaluations from instructors by May 15th and throughout the summer. Students must be registered in a math course to receive a placement assessment. Math classes have a detailed and specific placement process.
Read more about the math placement process here.

Watch the math placement process video with our department chair, Dr. Fransell Riley, here.

See the Math Scope and Sequence here.

In Foundational Math V students grow their arithmetic toolbox to include decimal place value and decimal operations. Students will master adding, subtracting, multiplying, and dividing decimals. They will continue to develop their mastery of fractions to include mixed number operations. This newfound knowledge will be used to evaluate numerical expressions using the order of operations. They will study the coordinate plane, conversion factors, volume, and classifying quadrilaterals. They will develop a sense that mathematics can utilize and expose patterns, in nature and manmade, by learning to identify these patterns and how to translate them into the language of mathematics. Students will gain fluency in multiplying numbers from 1 to 12 and memorizing basic divisibility rules. They will complete portfolio projects that deepen their understanding of the concepts, appreciate the role of mathematics in God’s creation, and lead them to explore real-world applications of mathematics. Throughout the course, students will be led to see mathematics in the world around us through patterns.

The teaching of a new concept opens with a brief review of previously covered content. This review connects the previous lesson to the current lesson. The premise of the current lesson is presented via a question or idea. The students now have a puzzle or idea that they want to explore. As we delve deeper into answering the question at hand, we begin to discover the new mathematical concept. We use our prior knowledge and intuition to uncover a new truth about mathematics. Once this truth has been uncovered, we begin to work examples; first as a class and then as individuals or in groups. As our understanding of the concept deepens, we extend our knowledge base to include specific cases or situations that lead to minor adjustments in the truth that we have uncovered – thus expanding the truth. We use a variety of methods to uncover new truths. The most frequent method is a Socratic-style discussion that the entire class participates in. A discussion takes place that reveals the relevance of this truth in our mathematical studies or our daily lives (real-life application). 

Watch a Math Classroom Experience with Joelle Riethmiller.

Each teacher has a unique presentation style in delivering the aforementioned experience. Sometimes the teacher leads the discussion using questions; following the example set by Socrates.. Sometimes a problem is presented and the students take the lead in finding a solution based on extending previous knowledge. Sometimes students participate in a hands-on activity to discover new truths. Sometimes a short lecture or presentation is required, however, we aim to minimize lecturing, especially before high school. 

Students continue to study the new truth and deepen their understanding of it via homework, classwork, projects, and assessments. Since our classes do not meet 5 days per week, students must spend time studying the concepts outside of class. This also helps students grow in their ability to think and work math concepts independently which is required for future math classes. For this reason, we ask that parents minimize the assistance that students are given on assignments. If a student receives an A on an assignment, it should be a true indication of their independent ability as the teacher interprets this A as independent mastery. 
Review assignments or classroom review activities are utilized to assist students with opportunities to retain or improve their mastery. Assessments are directly or indirectly cumulative and serve as an opportunity to deepen their learning. Assessments are not meant to be a regurgitation of previous homework assignments.

Students who are adequately prepared to take this course will have mastered (can work independently without prompting):

  • Place Value to One Million
  • Rounding, Adding, Subtracting, Multiplying, and Dividing Multi-Digit Whole Numbers (including Long Division)
  • Adding and Subtracting Fractions (unlike denominators) and Mixed Numbers
  • Convert Units of Time
  • Classify Lines, Polygons, Triangles, and Symmetry
  • Calculate Area and Perimeter

Required Materials:
Books and supplies are not included in the purchase of the course.

There are four Singapore Math books for the year.

Other Resources:

  • Digital tablet –Wacom Intuos, Huion, XP-Pen, or other. (or similar)
  • Three-ring Binder
  • Loose-leaf Filler Graph Paper
  • Sharpened Pencils and Erasers
  • Ruler with Customary and Metric Markings
  • Personal Size Dry-erase Board with Markers

Additional manipulatives will be needed for certain lessons (post it notes, printable number lines, dice, beans, etc). The teacher will indicate these items ahead of time so students can be prepared.

**Recommended Resources: **
Part of the beauty of a Concrete-Pictorial-Abstract (C-P-A) approach to mathematics is giving students tactile experiences with math concepts. Please consider purchasing the following recommended manipulatives to support learning. These are not required. As much as possible, virtual and/or printable versions of these manipulatives will be made available.

Christina Royals began her journey as an educator in 2005 and holds a B.S in Middle Grades Education with certifications in ELA, Math, and Gifted as well as a Minor in Music. She has spent much of her career as a math instructor in a variety of instructional settings in Georgia. She is joining the Scholé Academy instructional team as a mathematics instructor and is excited to share her joy and passion for the content with young, eager learners. Christina feels it is a blessing and a “calling” to be allowed the opportunity to assist children with their academic progress. She enjoys showing even the most apprehensive students that math doesn’t have to be scary, and they CAN find success! When she isn’t engaged in math teaching, you can find her playing with her sprightly toddler, enjoying walks at parks, or reading in her hammock. She also loves crossword puzzles and math logic puzzles such as KenKen, Sudoku, and Suguru! (Expect to see those pop up during class sessions to challenge the students!) Christina was born, raised and continues to live in sunny Savannah, Georgia with her son and husband. Además, Christina habla español porque su marido es de la República Dominicana! [email protected]

Kate Weise has worked as a tutor, teacher, or school administrator since 2010 and has experience teaching multiple grade levels and across disciplines. She believes any student can fall in love with learning and loves helping them discover their unique giftings as God's image bearers. She holds degrees in History and Writing from Union University and an M.F.A. in Writing from Vermont College of Fine Arts. Most recently, she helped launch an urban, Classical Christian school where she worked primarily in curriculum development and academic support. Along the way, she developed a passion for math education that emphasizes building mathematical thinking and problem solving skills. She and her husband have three children that they are homeschooling together. [email protected]

Quarter 1

  1. Extend Place Value to Include Decimal Places
  2. Read, Write, Round, and Compare Decimals
  3. Adding and Subtracting Decimals
  4. Estimating Sums, Differences, Products, and Quotients of Decimals
  5. Multiply and Divide Multi-Digit Whole Numbers
  6. Understand Powers and Exponents
  7. Estimate Products of Multi-Digit Factors
  8. Multiply Decimals
  • The order in which topics are presented may vary according to instructor and course section.

Quarter 2

  1. Dividing with Two Digit Divisors
  2. Dividing Decimals by Whole Numbers and Decimals
  3. Adding and Subtracting Fractions and Mixed Numbers
  4. Multiplying a Fraction by a Fraction
  5. Multiplying Mixed Numbers
  6. Dividing a Fraction by a Whole Number
  • The order in which topics are presented may vary according to instructor and course section.

Quarter 3

  1. Understanding and Using the Coordinate Plane
  2. Writing, Interpreting, and Evaluating Numerical Expressions
  3. Identifying and Graphing Numerical Patterns
  • The order in which topics are presented may vary according to instructor and course section.

Quarter 4

  1. Convert Customary and Metric Units
  2. Measurements on Line Plots
  3. Volume of 3D and Composite Figures
  4. Properties of and Classifying Quadrilaterals
  • The order in which topics are presented may vary according to instructor and course section.

Red checkmarkComputer: 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.

Red checkmarkHigh-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.

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

Red checkmarkHeadset: 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

Red checkmarkZoom: 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. unnamed-e1455142229376 To download Zoom:

  1. Visit
  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.

Red checkmarkScanner: In this class, students frequently submit homework assignments by scanning pages from their workbooks. Students and/or their parents should have easy access to a scanner and the ability to use it.


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First, read the available course descriptions, noting prerequisites, target grades, and course objectives. If you think your student is prepared for the course, go ahead and register. After registration, a placement assessment may be provided to students, depending on the course and the student’s previous enrollment with Scholé Academy. Registration is finalized when the student’s placement assessment has been returned by the course instructor with placement confirmation.


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Read the Student-Parent Handbook.

Please take careful note of our teaching philosophy, our technology requirements, our school policies, the parent agreement, and the distinctions between our grade levels.

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Make sure they don't conflict with other activities in your schedule or other courses you are purchasing. Our system will not catch double-bookings!

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Our Assistant to the Principal will be in touch with you after your enrollment to help you with next steps, including any placement evaluations that may be required for your course selections.

This registration will be finalized when the student's placement assessment has been returned by the course instructor with placement confirmation.

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