# Math Class Descriptions

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### Algebra I

Quarter 1, 2, 3, 4: Starts on September 9, 2020

Class Time: 10:00 am Duration: 55 min

Instructor: David Chelf

Grade Range: 7th-10th

Prerequisites: PreAlgebra

This is a complete course in high school Algebra I which will cover fundamental concepts in algebra and provide a solid foundation of mathematical literacy, problem solving, reasoning, and critical thinking skills that are necessary for the exploration of more advanced and rigorous topics in mathematics. This course is designed to emphasize the study of algebraic problem-solving with the incorporation of real-world applications. Topics in Algebra I include number systems, linear systems, rational numbers, complex numbers, exponents, roots, radicals, quadratic equations, polynomials, factoring, absolute values, ratios, and proportions. In addition, the course will cover solving and graphing systems of functions, linear equations, and inequalities. Students will explore these topics through class discussions, practice problems, and open-ended problem-solving.

**Prerequisite:** Students should have a solid foundation in pre-algebra topics in order to take this class.

**Workload:** Students should expect to spend 1.25-1.75 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 13-day cycle in this class with: a new unit introduced on a Friday (day 1), lecture on Wednesday (day 6), questions and answers on the next Friday (day 8), and homework due the next Wednesday (day 13). After introduction of a new topic (day 1), students will be expected to read the assigned section and look through worked, sample problems before the lecture the following Wednesday (day 6). Solutions will be provided for some homework problems, but students are expected to show all steps of all work.

**Assignments:** The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address in order to be set up as users of the Canvas system. Parents can also be set up as Canvas guests/observers for purposes of tracking the student's progress and workload.

**Assessments:** In this class, the instructor will assess a student's progress by checking that weekly homework sets are complete and giving periodic take-home tests; class participation is also strongly encouraged. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade.

**Textbook:** Students should purcashe or rent the required textbook for this class: Algebra I: Expressions, Equations, and Applications by Paul A. Foerster. It is available in a few different editions, each of which is virtually identical: 2nd edition (ISBN-10 020125073X, ISBN-13 978-0201250732), 3rd edition (ISBN-10 0201860945, ISBN-13 978-0201860948), and Classic edition (ISBN-10 020132458X, ISBN-13 978-0201324587). It is also available under the title Foerster Algebra I, Classics edition (ISBN-10 0131657089, ISBN-13 978-0131657083). A calculator is not needed for this course.

**Credit:** Homeschool families may wish to count this course as a complete credit in Algebra I for purposes of a high school transcript.

### Algebra II

Quarter 1, 2, 3, 4: Starts on September 9, 2020

Class Time: 1:00 pm Duration: 55 min

Instructor: David Chelf

Grade Range: 9th-12th

Prerequisites: Algebra

This is a complete course in high school Algebra II which will cover fundamental concepts and provide a solid foundation of mathematical literacy, problem solving, reasoning, and critical thinking skills that are necessary for the exploration of more advanced and rigorous topics in mathematics. Topics in Algebra II include linear functions, systems of equations and inequalities, quadratic functions and complex numbers, exponential and logarithmic functions, rational and irrational algebraic functions, and quadratic relations and systems. In addition, this course will cover higher degree functions with complex numbers, sequences and series, probability, data analysis, and trigonometric and circular functions. Students will explore these topics through class discussions, practice problems, and open-ended problem solving.

**Prerequisite:** Students should have a solid foundation Algebra I in order to take this class.

**Workload:** Students should expect to spend 1.25-1.75 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 13-day cycle in this class with: a new unit introduced on a Friday (day 1), lecture on Wednesday (day 6), questions and answers on the next Friday (day 8), and homework due the next Wednesday (day 13). After introduction of a new topic (day 1), students will be expected to read the assigned section and look through worked, sample problems before the lecture the following Wednesday (day 6). Solutions will be provided for some homework problems, but students are expected to show all steps of all work.

**Assignments:** The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address in order to be set up as users of the Canvas system. Parents can also be set up as Canvas guests/observers for purposes of tracking the student's progress and workload. In lieu of a graphing calculator, students should have access to websites desmos.com and wolframalpha.com for graphing assignments.

**Assessments:** In this class, the instructor will assess a student's progress by checking that weekly homework sets are complete and giving periodic take-home tests; class participation is also strongly encouraged. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade.

**Textbook:** Students should purchase or rent the required textbook for this class: Algebra and Trigonometry: Functions and Applications- Prentice Hall Classics (ISBN-10 0131657100, ISBN-13 978-0131657106). A scientific calculator similar to the Casio fx-115ES PLUS is required for this class.

**Credit:** Homeschool families may wish to count this course as a complete credit in Algebra II for purposes of a high school transcript.

### Calculus (Honors or AP A/B)

Quarter 1, 2, 3, 4: Starts on September 9, 2020

Class Time: 12:00 pm Duration: 55 min

Instructor: David Chelf

Grade Range: 11th-12th

Prerequisites: PreCalculus

This is a complete course in high school Calculus which will cover fundamental concepts and provide a solid foundation of mathematical literacy, problem solving, reasoning, and critical thinking skills that are necessary for the exploration of more advanced and rigorous topics in mathematics. Topics in Calculus include limits of functions (one-sided and two-sided limits, limits at infinity and infinite limits, limits of sequences, and continuity of functions), derivatives (various definitions of derivatives, estimating derivatives from tables and graphs, rules of differentiation, properties of derivatives, separable differential equations, and the Mean Value Theorem), applications of derivatives (related rates, optimization, and exponential growth and decay models), integrals (basic techniques of integration including basic antiderivatives and substitution), applications of integrals (in finding areas and volumes, describing motion, and as accumulation functions), and the Fundamental Theorem of Calculus. Students will explore these topics through class discussions, practice problems, and open-ended problem-solving.

**Prerequisite:** Students should have a solid foundation PreCalculus in order to take this class.

**Level: ** This course is offered at two levels, Honors and Advanced Placement (AP). The scope and sequence are identical, however AP students may have additional practice problems. Students who wish to take the AP exam must register and pay for their own exam through the College Board in fall 2020 for the May 2021 exam.

**Workload:** Students should expect to spend 1.25-1.75 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 13-day cycle in this class with: a new unit introduced on a Friday (day 1), lecture on Wednesday (day 6), questions and answers on the next Friday (day 8), and homework due the next Wednesday (day 13). After introduction of a new topic (day 1), students will be expected to read the assigned section and look through worked, sample problems before the lecture the following Wednesday (day 6). Solutions will be provided for some homework problems, but students are expected to show all steps of all work.

**Assignments:** The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address in order to be set up as users of the Canvas system. Parents can also be set up as Canvas guests/observers for purposes of tracking the student's progress and workload.

**Assessments:** In this class, the instructor will assess a student's progress by checking that weekly homework sets are complete and giving periodic take-home tests; class participation is also strongly encouraged. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade.

**Textbook:** Students should purchase or rent the required textbook for this class: Calculus: Single Variable/Early Transcendentals, 8th edition by James Stewart (ISBN-13 9781305270336). A scientific calculator similar to the Casio fx-115ES PLUS is required for this class, and it is highly recommended that students preparing for the AP exam have a graphing calculator similar to the TI-83. Students without a graphing calculator must have access to desmos.com and/or wolframalpha.com for graphing assignments.

**Credit:** Homeschool families may wish to count this course as a complete credit in Calculus for purposes of a high school transcript.

### Geometry

Quarter 1, 2, 3, 4: Starts on September 9, 2020

Class Time: 11:00 am Duration: 55 min

Instructor: David Chelf

Grade Range: 8th-11th

Prerequisites: Algebra

This is a complete course in high school Geometry which will cover fundamental concepts and provide a solid foundation of mathematical literacy, problem solving, reasoning, and critical thinking skills that are necessary for the exploration of more advanced and rigorous topics in mathematics. Students will learn deductive reasoning, and logic by completing geometric proofs. Topics in geometry include: lines, angles, congruence, concurrence, inequalities, parallel lines, quadrilaterals, transformations, area, similarity, right triangles, circles, regular polygons, and geometric solids. Students will explore these topics through class discussions, practice problems, and open-ended problem- solving.

**Prerequisite:** Students should have a solid foundation Algebra I in order to take this class.

**Workload:** Students should expect to spend 1.25-1.75 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 13-day cycle in this class with: a new unit introduced on a Friday (day 1), lecture on Wednesday (day 6), questions and answers on the next Friday (day 8), and homework due the next Wednesday (day 13). After introduction of a new topic (day 1), students will be expected to read the assigned section and look through worked, sample problems before the lecture the following Wednesday (day 6). Solutions will be provided for some homework problems, but students are expected to show all steps of all work.

**Assignments:** The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address in order to be set up as users of the Canvas system. Parents can also be set up as Canvas guests/observers for purposes of tracking the student's progress and workload.

**Assessments:** In this class, the instructor will assess a student's progress by checking that weekly homework sets are complete and giving periodic take-home tests; class participation is also strongly encouraged. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade.

**Textbook:** Students should purchase or rent the required textbook for this class: Geometry: Seeing, Doing, Understanding, 3rd edition (ISBN-10 0716743612, ISBN-13 978-0716743613) A calculator is not needed for this course.

**Credit:** Homeschool families may wish to count this course as a complete credit in Geometry for purposes of a high school transcript.

### Pre-Algebra

Quarter 1, 2, 3, 4: Starts on September 9, 2020

Class Time: 12:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 7th-9th

Prerequisites: Middle school math

This is a full year course in Pre-Algebra that will provide an introduction to basic algebra concepts and a review of arithmetic algorithms with an emphasis on problem solving. The major topics covered in this course are Numbers and Operations, Expressions & Properties, Equations & Inequalities, Functional Relationships and Ratios, Percent & Proportions. Students will learn to use formulas to solve a variety of math problems encompassing geometry, measurement probability, and statistics. Students will also be applying their learning to real life scenarios to solve problems.

**Prerequisites: ** Students must be fluent in the four basic operations- addition, subtraction, multiplication and division. They will need to show proficiency and have a thorough command of basic computation. In addition, a basic, introductory understanding and ability to work with fractions and decimals is required to solve equations and simplify expressions. If you are unsure about your child's readiness for this class, the instructor will recommend one or more practice platforms and/or assessments to confirm placement.

**Workload: ** Students should expect to spend 3-4 hours per week outside of class to complete practice problems, homework, and assessments.

**Assignments: ** All assignments will be posted on password-protected Canvas classroom management site. There, students access assignments, upload homework, link to quizzes and tests, track grades, and message the instructor and classmates.

**Assessments: ** All chapter tests will be taken outside of class with parental oversight to maximize in-class instructional time. Points will be assigned for completed homework, quizzes, and tests. A letter grade will not be assigned, but parents can use total points earned versus total points offered to assign a grade for purposes of a homeschool transcript. Parents can view total points earned at any time through the Canvas site.

**Textbook: ** The selected textbook is available free online, and a link will be posted on Canvas. Students who prefer a hard copy textbook may purchase or rent McDougall Littell's Pre-Algebra (ISBN #978-0618250035). As an alternative, for any student who struggles with reading, the textbook can be purchased as an audio CD (ISBN #978-0618478828). In addition, students will be assigned work in IXL and class note packets. (See Supply Fee notes below).

**Lab/Supply Fee:** This course has a $65.00 supply fee which covers a 1-year subscription to IXL online math platform and a class binder with unit notes. The unit notes packet will be distributed at the beginning of each unit and includes additional examples, supplemental explanations, and practice problems. Please bring cash or a check made out to Compass on the first day of class.

**What to Bring: ** TI-34 calculator

**Credit: ** Homeschool families may wish to count this course as a full credit in Mathematics for purposes of a high school transcript.

### Pre-Algebra

Quarter 1, 2, 3, 4: Starts on September 9, 2020

Class Time: 12:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 7th-9th

Prerequisites: Middle school math

This is a full year course in Pre-Algebra that will provide an introduction to basic algebra concepts and a review of arithmetic algorithms with an emphasis on problem solving. The major topics covered in this course are Numbers and Operations, Expressions & Properties, Equations & Inequalities, Functional Relationships and Ratios, Percent & Proportions. Students will learn to use formulas to solve a variety of math problems encompassing geometry, measurement probability, and statistics. Students will also be applying their learning to real life scenarios to solve problems.

**Prerequisites: ** Students must be fluent in the four basic operations- addition, subtraction, multiplication and division. They will need to show proficiency and have a thorough command of basic computation. In addition, a basic, introductory understanding and ability to work with fractions and decimals is required to solve equations and simplify expressions. If you are unsure about your child's readiness for this class, the instructor will recommend one or more practice platforms and/or assessments to confirm placement.

**Workload: ** Students should expect to spend 3-4 hours per week outside of class to complete practice problems, homework, and assessments.

**Assignments: ** All assignments will be posted on password-protected Canvas classroom management site. There, students access assignments, upload homework, link to quizzes and tests, track grades, and message the instructor and classmates.

**Assessments: ** All chapter tests will be taken outside of class with parental oversight to maximize in-class instructional time. Points will be assigned for completed homework, quizzes, and tests. A letter grade will not be assigned, but parents can use total points earned versus total points offered to assign a grade for purposes of a homeschool transcript. Parents can view total points earned at any time through the Canvas site.

**Textbook: ** The selected textbook is available free online, and a link will be posted on Canvas. Students who prefer a hard copy textbook may purchase or rent McDougall Littell's Pre-Algebra (ISBN #978-0618250035). As an alternative, for any student who struggles with reading, the textbook can be purchased as an audio CD (ISBN #978-0618478828). In addition, students will be assigned work in IXL and class note packets. (See Supply Fee notes below).

**Lab/Supply Fee:** This course has a $65.00 supply fee which covers a 1-year subscription to IXL online math platform and a class binder with unit notes. The unit notes packet will be distributed at the beginning of each unit and includes additional examples, supplemental explanations, and practice problems. Please bring cash or a check made out to Compass on the first day of class.

**What to Bring: ** TI-34 calculator

**Credit: ** Homeschool families may wish to count this course as a full credit in Mathematics for purposes of a high school transcript.

### PreCalculus with Trigonometry

Quarter 1, 2, 3, 4: Starts on September 9, 2020

Class Time: 2:00 pm Duration: 55 min

Instructor: David Chelf

Grade Range: 10th-12th

Prerequisites: Algebra II

This is a complete course in high school PreCalculus which will cover fundamental concepts and provide a solid foundation of mathematical literacy, problem solving, reasoning, and critical thinking skills that are necessary for the exploration of more advanced and rigorous topics in mathematics. Topics in Precalculus include functions: polynomial, rational, exponential, logarithmic, and trigonometric (right angle and unit circle). In addition, the course will cover polar coordinates, parametric equations, analytic trigonometry, vectors, systems of equations/inequalities, conic sections, sequences, and series. Students will explore these topics through class discussions, practice problems, and open-ended problem solving.

**Prerequisite:** Students should have a solid foundation Algebra I, Algebra II, and Geometry in order to take this class.

**Workload:** Students should expect to spend 1.25-1.75 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 13-day cycle in this class with: a new unit introduced on a Friday (day 1), lecture on Wednesday (day 6), questions and answers on the next Friday (day 8), and homework due the next Wednesday (day 13). After introduction of a new topic (day 1), students will be expected to read the assigned section and look through worked, sample problems before the lecture the following Wednesday (day 6). Solutions will be provided for some homework problems, but students are expected to show all steps of all work.

**Assignments:** The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address in order to be set up as users of the Canvas system. Parents can also be set up as Canvas guests/observers for purposes of tracking the student's progress and workload. In lieu of a graphing calculator, students should have access to websites desmos.com and wolframalpha.com for graphing assignments.

**Assessments:** In this class, the instructor will assess a student's progress by checking that weekly homework sets are complete and giving periodic take-home tests; class participation is also strongly encouraged. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade.

**Textbook:** Students should purchase or rent the required textbook for this class: Precalculus: Mathematics for Calculus, 6th edition by Stewart, Redlin, and Watson (ISBN-10 0840068077, ISBN-13 978-0840068071). A scientific calculator similar to the Casio fx-115ES PLUS is required for this class.

**Credit:** Homeschool families may wish to count this course as a complete credit in Precalculus for purposes of a high school transcript.

### Cracking Codes, Cryptology for Kids: Spies

Quarter 1: Starts on September 9, 2020

Class Time: 11:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 3rd-4th

Prerequisites:

Students will learn the language of spies and secret agents in this children's cryptology class. Cryptology is the science of secret writing which uses math and logical reasoning to decode and create mystery alphabets. Each week, students will learn one or more ciphers and will practice using them to decode messages and write secret messages to each other!

Student operatives will begin their stealth options by making their own cipher wheels, cipher strips, and experimenting with shift ciphers. They will learn about algorithms and keys and test different recipes for invisible ink. The quarter will culminate in a collaboration to crack a variety of codes to flee a classroom Escape Room which may include challenges such as coded letters, picture clues, mirror image writings, puzzling word searches, and cryptograms. We will also share the stories of famous writers and code-crackers including some female cryptologists and Navajo Code Talkers.

### Fun with Number Systems: Ancient Arithmetic

Quarter 1: Starts on September 9, 2020

Class Time: 1:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 5th-6th

Prerequisites:

When is a lotus more than a flower bloom? When it means one thousand in the hieroglyphic number system of ancient Egypt! Did you know that not everyone uses 1, 2, 3 to count, and some civilizations did not have a zero!

In the exploration of the history of numbers and ancient arithmetic, students will learn to count using hieroglyphics, Greek numerals, and cuneiform characters. From primitive number systems to modern number systems, we will trace the development of numbers through the ages. Students will see how easy it was for the ancient Babylonians to multiply by 60, and how hard it was for Romans and Egyptians to do the same!

By performing calculations using different forms of numerical representation, students will be able to assess the relative advantages and disadvantages of these number systems. We will consider how the number systems met the needs of the civilizations that used them, and perhaps, where they fell short. Students will learn the importance of place value and be introduced to alternatives to our base ten system by the end of this class.

**Topics in this Series:** Fun with Number Systems: Ancient Arithmetic (Quarter 1), Fun with Number Systems: The Great Base Race (Quarter 2), Mental Math: Logic and Reasoning Puzzles (Quarter 3) and Mental Math: MORE Logic and Reasoning Puzzles (Quarter 4)

### Math Lab

Quarter 1: Starts on September 9, 2020

Class Time: 3:00 pm Duration: 55 min

Instructor: David Chelf

Grade Range: 6th-9th

Prerequisites:

Math Lab is a tutoring center where students can go for weekly help on math homework! In Math Lab, homeschooled students bring the math homework they are assigned- whether from a Compass math class, an online math program, or material taught at home. Help is available for all topics from middle school (6th-8th grade) math through Algebra I, encompassing concepts such as: number lines, integers, negative numbers, fractions, decimals, percentages, factoring, exponents, roots, order of operations, inequalities, coordinate plane, working with variables, solving equations, and word problems.

Students will be expected to come to Math Lab with a current math assignment including any textbook, workbook, or worksheets and a pencil. They will work independently until they have a question, reach a stumbling block, or need clarification on a concept or computation. The Math Lab tutor will then work with them to check answers, remind them of a technique, or demonstrate a different way to solve the problem. Sometimes just hearing it from someone else will help a concept "click"!

An experienced Compass math instructor will oversee the Math Lab and will be circling the room and continually checking in with students. The tutor will not prepare or deliver structured lessons, but will be giving on-the-spot support/guidance as needed and may suggest additional practice to reinforce a concept. Math Lab students will receive discounts on subscriptions to IXL Math, on an online, learning platform. See Compass Store for details on IXL subscriptions.

### Number Ninjas: Play with Place Value & Money

Quarter 1: Starts on September 9, 2020

Class Time: 2:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 1st-2nd

Prerequisites:

Does your child learn best by touch, movement, music, and play? Number Ninjas is based on the belief that children need to work with mathematics in a concrete, physical, and tangible way. Young students will love learning numerical concepts in this hands-on, exploration-based class where work with numbers feels like a game.

First quarter, students will explore the concepts of even and odd numbers, comparing and ordering, place value, rounding, counting by 2, 5, 10, 25, and money. We will build an abacus, solve skip counting puzzles, run a sticker store, and more!

This class covers many of the 1st and 2nd grade Standards of Learning for math. Weekly update e-mails to parents will include suggestions for practice at home and extension activities. Students will receive a binder with a pouch for manipulatives that they need to bring to class each week.

**Topics in the Series:** Play with Place Value & Money (Quarter 1), Measurement Madness (Quarter 2), Super Shapes (Quarter 3), and Fun with Fractions (Quarter 4).

**Supply Fee: **Included

### Middle School Math Builders: Fractions, Ratios, Decimals & Percentages

Quarter 1, 2: Starts on September 9, 2020

Class Time: 10:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 6th-8th

Prerequisites:

Math Builders is a class that is meant to "fill in the gaps" and strengthen a student's middle school math know-how! Math Builders will help solidify key concepts and before a student embarks on pre-algebra, algebra, and beyond. This class will also emphasize real world applications of the mathematical concepts and word problems so students become comfortable switching between prose (written descriptions) and mathematical representation (numbers, symbols).

Fractions, rates , ratios, decimals, and percentages are used everyday, in all aspects of everyday life! Students will tackle real-world challenges such as, "How much flour do you need for a triple batch of cookies when the single recipe calls for 2-1/3 cups?" How long will it take to get to Virginia Beach if the traffic on I-95 is only moving 35 mph? Or, which is a better bargain, "Buy two, get one free" or "50% off"? Students will practice the computational operations of adding, subtracting, multiplying, and dividing fractions with everyday examples. The class will also discover how rates and ratios are also just fractions. They will work examples with money, sales tax, mileage, weights, and measures to visualize common scenarios where decimals and percentages are used in "real life." Students will also practice the computational operations of adding, subtracting, multiplying, and dividing decimals, and they will learn what decimals stand for, how they relate to fractions, and how to convert between the two.

**Prerequisites: **This course is meant to reinforce and ensure a solid foundation in the core concepts needed for Pre-Algebra. For this course to have the most impact, a student should be solid through upper elementary math (approx. 6th grade) and should be working at a 7th grade math level. This course is meant to complement or supplement an at-home middle school math curriculum. If you are unsure if your child should take Middle School Math Builders or is ready for the full year Pre-Algebra course, the instructor can provide a placement test. If you are concerned about the scope and sequence of this class fitting with your selected math program, the Instructor can hold a curriculum coordination meeting (for an additional fee).

**Workload: ** Students should expect to spend 2-3 hours per week outside of class on homework.

**Assignments: **Homework will be given each week to build fluency with basic skills.

**Lab/Supply Fee: **Each student enrolled in this class will need a subscription to IXL Math for practice problems. IXL is an online subscription-based learning platform which uses continuous diagnostics to develop a personalized practice plan. This is a 12-month discounted subscription through Compass. A class fee of $19.00 is due payable to Compass on the first day of class.

**What to Bring: **Paper or notebook, pen or pencil.

### Cracking Codes, Cryptology for Kids: Secret Agents

Quarter 2: Starts on October 28, 2020

Class Time: 11:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 3rd-4th

Prerequisites:

Students will learn the language of spies and secret agents in this children s cryptology class. Cryptology is the science of secret writing which uses math and logical reasoning to decode and create mystery alphabets. Each week, students will learn one or more ciphers and will practice using them to decode messages and write secret messages to each other!

Student agents will continue their undercover operations by learning Morse code and sending messages with maritime flags. Students will learn about Vigenere ciphers and Affine ciphers. The quarter will culminate in a collaboration to crack a variety of codes to flee a classroom Escape Room which may include challenges such as coded letters, picture clues, mirror image writings, puzzling word searches, and cryptograms. We will also share the stories of famous writers and code-crackers like Lewis and Clark. This quarter's ciphers will include an introduction to the match concepts of prime numbers and basic multiplication.

### Fun with Number Systems: The Great Base Race

Quarter 2: Starts on October 28, 2020

Class Time: 1:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 5th-6th

Prerequisites:

How do computers use numbers? Can you count using just your hands? Did you know that not everyone uses 1, 2, 3 to count, and some civilizations did not have a zero?

Learn how zero and the development of place value helped the Hindu-Arabic number system stand the test of time! In the exploration of the history of numbers, students will learn to count using primitive number systems to modern number systems, and we will continue to trace the development of numbers through the ages. We will look at the Mayan's vertical place value system with base 20 and explore base 5 (Quinary) and base 2 (Binary).

By performing calculations using different forms of numerical representation, students will be able to assess the relative advantages and disadvantages of these number systems. We will consider how the number systems met the needs of the civilizations that used them, and perhaps, where they fell short. Students will learn the importance of place value and be introduced to alternatives to our base ten system by the end of this class.

**Topics in this Series:** Fun with Number Systems: Ancient Arithmetic (Quarter 1), Fun with Number Systems: The Great Base Race (Quarter 2), Mental Math: Logic and Reasoning Puzzles (Quarter 3) and Mental Math: MORE Logic and Reasoning Puzzles (Quarter 4)

### Math Lab

Quarter 2: Starts on October 28, 2020

Class Time: 3:00 pm Duration: 55 min

Instructor: David Chelf

Grade Range: 6th-9th

Prerequisites:

Math Lab is a tutoring center where students can go for weekly help on math homework! In Math Lab, homeschooled students bring the math homework they are assigned- whether from a Compass math class, an online math program, or material taught at home. Help is available for all topics from middle school (6th-8th grade) math through Algebra I, encompassing concepts such as: number lines, integers, negative numbers, fractions, decimals, percentages, factoring, exponents, roots, order of operations, inequalities, coordinate plane, working with variables, solving equations, and word problems.

Students will be expected to come to Math Lab with a current math assignment including any textbook, workbook, or worksheets and a pencil. They will work independently until they have a question, reach a stumbling block, or need clarification on a concept or computation. The Math Lab tutor will then work with them to check answers, remind them of a technique, or demonstrate a different way to solve the problem. Sometimes just hearing it from someone else will help a concept "click"!

An experienced Compass math instructor will oversee the Math Lab and will be circling the room and continually checking in with students. The tutor will not prepare or deliver structured lessons, but will be giving on-the-spot support/guidance as needed and may suggest additional practice to reinforce a concept. Math Lab students will receive discounts on subscriptions to IXL Math, on an online, learning platform. See Compass Store for details on IXL subscriptions.

### Number Ninjas: Measurement Madness

Quarter 2: Starts on October 28, 2020

Class Time: 2:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 1st-2nd

Prerequisites:

Does your child learn best by touch, movement, music, and play? Number Ninjas is based on the belief that children need to work with mathematics in a concrete, physical, and tangible way. Young students will love learning numerical concepts in this hands-on, exploration-based class where work with numbers feels like a game.

Second quarter, students will explore many different facets of measurement including length, weight, volume, temperature, and time. We will explore these concepts using everyday items like paperclips, tablespoons, and string and math manipulatives like color tiles, nets, centimeter cubes, and more. Each class will include a measuring tool like a clock, stopwatch, ruler, and scale that students will be able to use. We will learn tricks for making estimates and be able to compare and order items (heavy to light, short to tall, etc.)

This class covers many of the 1st and 2nd grade Standards of Learning for math. Weekly update e-mails to parents will include suggestions for practice at home and extension activities. Students will receive a binder with a pouch for manipulatives that they need to bring to class each week.

**Topics in the Series:** Play with Place Value & Money (Quarter 1), Measurement Madness (Quarter 2), Super Shapes (Quarter 3), and Fun with Fractions (Quarter 4).

**Supply Fee: **Included

### Brain Games: Puzzles, Riddles & Brain Teasers

Quarter 3: Starts on January 13, 2021

Class Time: 10:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 3rd-4th

Prerequisites:

coming soon

### Math Lab

Quarter 3: Starts on January 13, 2021

Class Time: 3:00 pm Duration: 55 min

Instructor: David Chelf

Grade Range: 6th-9th

Prerequisites:

Math Lab is a tutoring center where students can go for weekly help on math homework! In Math Lab, homeschooled students bring the math homework they are assigned- whether from a Compass math class, an online math program, or material taught at home. Help is available for all topics from middle school (6th-8th grade) math through Algebra I, encompassing concepts such as: number lines, integers, negative numbers, fractions, decimals, percentages, factoring, exponents, roots, order of operations, inequalities, coordinate plane, working with variables, solving equations, and word problems.

Students will be expected to come to Math Lab with a current math assignment including any textbook, workbook, or worksheets and a pencil. They will work independently until they have a question, reach a stumbling block, or need clarification on a concept or computation. The Math Lab tutor will then work with them to check answers, remind them of a technique, or demonstrate a different way to solve the problem. Sometimes just hearing it from someone else will help a concept "click"!

An experienced Compass math instructor will oversee the Math Lab and will be circling the room and continually checking in with students. The tutor will not prepare or deliver structured lessons, but will be giving on-the-spot support/guidance as needed and may suggest additional practice to reinforce a concept. Math Lab students will receive discounts on subscriptions to IXL Math, on an online, learning platform. See Compass Store for details on IXL subscriptions.

### Mental Math: Logic and Reasoning Puzzles

Quarter 3: Starts on January 13, 2021

Class Time: 10:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 5th-6th

Prerequisites:

### Number Ninjas: Super Shapes

Quarter 3: Starts on January 13, 2021

Class Time: 2:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 1st-2nd

Prerequisites:

Does your child learn best by touch, movement, music, and play? Number Ninjas is based on the belief that children need to work with mathematics in a concrete, physical, and tangible way. Young students will love learning numerical concepts in this hands-on, exploration-based class where work with numbers feels like a game.

Third quarter, students will dive into geometry by creating plane figures and sorting them according to the number of sides, vertices, and angles. We will complete symmetrical pictures with pattern blocks and drawings. Students will compare and sort 2-D and 3-D shapes using everyday objects. We will build a Himmeli sculpture and a clock!

This class covers many of the 1st and 2nd grade Standards of Learning for math. Weekly update e-mails to parents will include suggestions for practice at home and extension activities. Students will receive a binder with a pouch for manipulatives that they need to bring to class each week.

**Topics in the Series:** Play with Place Value & Money (Quarter 1), Measurement Madness (Quarter 2), Super Shapes (Quarter 3), and Fun with Fractions (Quarter 4).

**Supply Fee: **Included

### Middle School Math Builders: Exponents, Orders of Operations, & Integers

Quarter 3, 4: Starts on January 13, 2021

Class Time: 10:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 6th-8th

Prerequisites:

Math Builders is a class that is meant to "fill in the gaps" and strengthen a student's middle school math know-how! Math Builders will help solidify key concepts and before a student embarks on pre-algebra, algebra, and beyond. This class will also emphasize real world applications of the mathematical concepts and word problems so students become comfortable switching between prose (written descriptions) and mathematical representation (numbers, symbols).

Exponents and orders of magnitude are used every day by scientists! How far away is the sun? How small is an atom? How many cells are in our bodies? The class will make sense of really small and really big numbers by working with exponents, powers of ten, scientific notation, and order of magnitude. Students will learn different ways of expressing large and miniscule numbers. Students will practice the computational operations of adding, subtracting, multiplying, and dividing with exponents.

Integers are used everyday by almost everyone! Answering the question, what's the balance in my checking account? Is it cold enough to snow? Or, how do I score a game of golf? This course will make the abstract concept of negatives numbers concrete through the use of flip chips and number lines. Students in this class will learn algorithms and strategies for completing all four operations with integers. Being able to work with integers is essential throughout Pre-Algebra, Algebra, and beyond.

**Prerequisites: **This course is meant to reinforce and ensure a solid foundation in the core concepts needed for Pre-Algebra. For this course to have the most impact, a student should be solid through upper elementary math (approx. 6th grade) and should be working at a 7th grade math level. This course is meant to complement or supplement an at-home middle school math curriculum. If you are unsure if your child should take Middle School Math Builders or is ready for the full year Pre-Algebra course, the instructor can provide a placement test. If you are concerned about the scope and sequence of this class fitting with your selected math program, the Instructor can hold a curriculum coordination meeting (for an additional fee).

**Workload: ** Students should expect to spend 2-3 hours per week outside of class on homework.

**Assignments: **Homework will be given each week to build fluency with basic skills.

**Lab/Supply Fee: **Each student enrolled in this class will need a subscription to IXL Math for practice problems. IXL is an online subscription-based learning platform which uses continuous diagnostics to develop a personalized practice plan. This is a 12-month discounted subscription through Compass. A class fee of $19.00 is due payable to Compass on the first day of class.

**What to Bring: **Paper or notebook, pen or pencil.

### Brain Games: MORE Puzzles, Riddles & Brain Teasers

Quarter 4: Starts on March 24, 2021

Class Time: 10:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 3rd-4th

Prerequisites:

coming soon

### Math Lab

Quarter 4: Starts on March 24, 2021

Class Time: 3:00 pm Duration: 55 min

Instructor: David Chelf

Grade Range: 6th-9th

Prerequisites:

### Mental Math: MORE Logic and Reasoning Puzzles

Quarter 4: Starts on March 24, 2021

Class Time: 10:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 5th-6th

Prerequisites:

### Number Ninjas: Fun with Fractions

Quarter 4: Starts on March 24, 2021

Class Time: 2:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 1st-2nd

Prerequisites:

Fourth quarter, students will discover what a fraction means. Students will physically separate the "whole" into equal parts and look at fractions as parts of a set. Students will learn tips to create drawings with fractional parts and will make play dough models.

**Topics in the Series:** Play with Place Value & Money (Quarter 1), Measurement Madness (Quarter 2), Super Shapes (Quarter 3), and Fun with Fractions (Quarter 4).

**Supply Fee: **Included

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