# Math Class Descriptions

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### Algebra I

Quarter 1, 2, 3, 4: Starts on September 7, 2018

Class Time: 2:00 pm Duration: 55 min

Instructor: Katherine Hoeck

Grade Range: 7th-10th

Prerequisites:

**This is a year-long class that is in-progress. Mid-term enrollment may be possible by contacting Compass to discuss placement. **

This is a complete course in Algebra I which will cover fundamental concepts in algebra and provide a solid foundation of mathematical literacy, problem solving, 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 mathematical reasoning, analysis, communication skills, and real world applications. Students will build on prior knowledge by exploring and understanding our number system, linear systems, rational numbers and proportional relationships, complex numbers, exponents, quadratics, polynomials, factoring, data analysis and probability, and solving, graphing, and writing linear equations and inequalities. Students will discover these topics through hands-on activities, class discussions, and open-ended problem solving. Each assignment will be categorized as either cooperative group investigations, partner collaboration, or individual work. Individual work will consist of periodic checks for understanding and independent-study activities that students are expected to complete outside of class.

Students should have a solid foundation in pre-algebra topics in order to take this class. Students should expect to spend 3 hours on independent study activities for each hour spent in class, or about 6 hours per week.

The required textbook for this class is The Art of Problem Solving: Introduction to Algebra (ISBN# 978-1-934124-14-7) and the corresponding and solutions manual (ISBN# 978-1-934124-15-4). These can be purchased from https://artofproblemsolving.com/store/item/intro-algebra. A calculator is not necessary for this course. Homeschool families may wish to count this course as a complete credit in Algebra for purposes of a high school transcript.

### Geometry

Quarter 1, 2, 3, 4: Starts on September 7, 2018

Class Time: 1:00 pm Duration: 55 min

Instructor: Katherine Hoeck

Grade Range: 9th-12th

Prerequisites:

**This is a year-long class that is in-progress. Mid-term enrollment may be possible by contacting Compass to discuss placement. **

This is a complete course in high school Geometry which will cover the fundamental concepts of Euclidean geometry and focus on developing critical thinking skills as they relate to logical reasoning and argument. This course is designed to emphasize analytical thinking and will include an in-depth analysis of plane, solid, and coordinate geometry through abstract mathematical ideas as well as real world problem solutions. Students will connect concepts from Algebra I to geometric phenomena with the analysis of parallel lines and polygons, perimeter and area, volume and surface area, similarity and congruence, and introductory trigonometry. Students will develop an understanding of these concepts through the study of geometric definitions, theorems, axioms, and postulates by writing reasoned, logical explanations that arrive at the conclusion about the geometric statement. A key focus will be on the development and history of the concepts being studied. Students can expect to spend time in class learning how to articulate the logical progression of concepts in addition to a thorough analysis of the topics. Independent study will involve reading assignments on concepts *before* they are presented in class as well as various problems to support what is covered in class.

Students should have a solid foundation in Algebra I in order to take this class. Students should expect to spend 3 hours on independent study activities for each hour spent in class, or about 6 hours per week.

The required textbook for this class is The Art of Problem Solving: Introduction to Geometry text (ISBN: 978-1-934124-08-6) and corresponding solutions manual (ISBN #978-1-934124-09-3). These can be purchased from https://artofproblemsolving.com/store/item/intro-algebra. Additional resources for the development of geometric proofs will be pulled from Euclidean and Non-Euclidean Geometries: Development and History. Students will be provided with the material used from this book. A calculator is not necessary for this course. 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 7, 2018

Class Time: 10:00 am Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 7th-9th

Prerequisites:

**This is a year-long class that is in-progress. Mid-term enrollment may be possible by contacting Compass to discuss placement. **

This is a full year course in Pre-Algebra with an emphasis on problem solving skills and computations of math facts. The major topics covered in this course are variables, expressions, integers, order of operations, solving equations, and multi-step equations. The course will also cover inequalities, factors, fractions, exponents, and rational numbers. Additional Pre-Algebra concepts that will be taught include ratios, proportion, probability, percentages, linear functions, real numbers, right triangles, measurement, area, volume, and data analysis. Students will learn to use formulas to solve a variety of math problems encompassing geometry, probability, and statistics. Students will also be applying their learning to real life scenarios to solve problems.

For this course, students should be capable of basic computation, math facts, and an ability to work with fractions and decimals at the 6th/7th grade level. For anyone who is unsure if their child is ready for pre-algebra, the instructor can recommend one or more assessments or pretests to confirm placement. Students should expect to spend 3-4 hours per week outside of class to complete practice problems, homework, and assessments. Please note, all assessments will be taken outside of class with the parental oversight to maximize in-class instructional time.

For this class, students will need a regular notebook and paper and graph paper or graphing notebook. Students will be required to rent or purchase the class textbook, McDougall Littell s Pre-Algebra (ISBM #978-0618250035), purchase the practice workbook (ISBN # 978-0618257522), and subscribe to the online math platform, IXL (https://www.ixl.com/). As an alternate, parents can purchase the textbook on audio-CD for any students who struggle with reading (ISBN #978-0618478828). Finally, although Pre-Algebra is often taught without the use of calculators, if a student is slow with some math facts or computation by hand, a TI-34 calculator is recommended so the student can keep up with the problems.

### Cracking Codes: More Cryptology for Kids

Quarter 2: Starts on October 31, 2018

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. This quarter, students will learn about Vigenere and Affine Ciphers and will practice using them to decode messages and write secret messages to each other! We will also share the stories of famous writers and code-crackers like Lewis and Clark. Student operatives will expand their stealth options by making their own cipher wheels, learning about algorithms and keys, sending messages using flags and more! This quarter will include an introduction to prime numbers and require a basic understanding of multiplication.

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

Quarter 2: Starts on October 31, 2018

Class Time: 12:00 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? Who invented 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. Every student will have a strong sense of the importance of place value and be introduced to alternatives to the base ten system by the end of this class.

### Money Matters: How Money Works

Quarter 2: Starts on October 31, 2018

Class Time: 10:00 am Duration: 55 min

Instructor: Jen DesRoches

Grade Range: 7th-8th

Prerequisites:

Middle school students are going to learn about real life "money matters" and personal finance basics through fun, interactive activities. Students will learn what are stocks and bonds and how the Stock Market works. They will simulate an investment in the market by selecting and following the price of several stocks throughout the quarter. The class will learn about money and how it drives the economy and the basics of supply, demand, and price. Students will explore loans and mortgages and how interest rates and down payments affect the costs of borrowing. They will discover the difference between credit cards, debit cards, and where that money comes from. Students will also learn the real life lessons of balancing a checkbook and what happens when you don't pay off your credit card debt!

Students should expect to spend 1 hour each week investigating costs on the internet or in newspapers. On several weeks, students will be asked to bring a laptop or tablet device to look up information in class.

### Real Life Math: Investigating Integers

Quarter 2: Starts on October 31, 2018

Class Time: 1:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 7th-8th

Prerequisites:

Where does the name Black Friday come from? What does borrowing money look like? How is golf scored? What s the difference between BC and AD? Develop a concrete understanding of negative numbers and learn strategies to do complex computation of integers. Then, apply what you ve learning while working in groups to solve fun, real world problems. At the beginning of the quarter, students will fill out a brief interest inventory so the instructor can tailor the class to the interests of the group. Each skill will be reviewed in isolation, with tips and tricks given and then applied to the word problems. In addition to improving specific math skills, students will become more comfortable moving between word problems and abstract mathematical representation by working with situations that are meaningful to them. The class serves as a solid review of Pre-Algebra topics.

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