# 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 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 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 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: Cryptology for Kids

Quarter 1: Starts on September 12, 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. Each week, students will learn one or more 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. Student operatives will expand their stealth options by making their own cipher wheels, learning about algorithms and keys, writing messages in invisible ink, sending messages using flags and more! Second quarter will continue with more cryptology and all new codes. Third and fourth quarter offerings for this grade level will include Math Games, Puzzles and Brain Teasers.

### Fun with Number Systems: Ancient Arithmetic

Quarter 1: Starts on September 12, 2018

Class Time: 12:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 5th-6th

Prerequisites:

When is a lotus flower not just a bloom? When it means one thousand in the hieroglyphic number system of ancient Egypt! In the exploration of the history of numbers, students will learn to count using hieroglyphics, Greek letters, 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. 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. First quarter will explore the number system of the ancients: Egyptian, Babylonian, Greek, and Roman number systems. Second quarter will examine the classics: Hindu-Arabic, Quinary, Binary, and Mayan. Third and fourth quarter offerings for this grade level will include an exploration of Logic and Reasoning.

### Money Matters: Personal Finance

Quarter 1: Starts on September 12, 2018

Class Time: 10:00 am Duration: 55 min

Instructor: Jen DesRoches

Grade Range: 7th-8th

Prerequisites:

Middle school students are going to learn that "money matters!" The critical life skills of personal finance through budgeting and money management will be introduced through real-world, hands-on activities. Students will begin with the discussion about different careers and the range of expected starting salaries for different fields. They will learn about cost of living indices and that not all salaries are created equal when locale is considered. Students will be given a simple career interest inventory and will examine jobs that are projected to be in high demand in the future. Students will then embark on a guided, quarter-long project where they will learn about developing a personal budget that works with the salary for their dream job.

Each week students will tackle a new piece of the budget pie. They will see the effects of tax withholdings from an imaginary paycheck and that take-home pay may not be what they thought. Students will research and make selections on housing and perform cost comparisons among apartments, condos, or buying or renting a house. They will uncover what the real cost of utilities and insurance could be. Kids will select a dream car and see what the cost of owning (and insuring, maintaining, and fueling it) would be. As the students make personal choices in their budget, they will learn about opportunity costs. If they chose to have a dog, will they have enough money left for a vacation? Kids will develop a one-week meal plan and calculate the cost of the associated groceries. They will develop a budget for clothing, personal items, and entertainment. When the project is complete, how have the middle schoolers fared in the game of "Life"? Students should expect to spend 1 to 1.5 hours each week investigating costs on the internet, newspapers, or in stores. Future themes in this series will explore How Money Works (2nd quarter), Entrepreneurship & Innovation (3rd quarter) and Business Start-Up (4th quarter).

### Real Life Math: Fractions, Decimals, and Percents

Quarter 1: Starts on September 12, 2018

Class Time: 1:00 pm Duration: 55 min

Instructor: Natalie Di Vietri

Grade Range: 7th-8th

Prerequisites:

Interested in cooking? Baseball? Carpentry? Business? Shopping? Whatever the pursuit, there is math involved! Do you want to figure out how your high school teachers will calculate your grades? Learn how much you ll save if you get an extra 15% off the already discounted 30% off sale price. This class will use real world scenarios to explore fractions, decimals, and percentages and finally answer the question Why do I have to learn this?

Each skill will be reviewed independently, 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 complement to Middle School math. Topics in this year s class series include: Ratios and Proportions (2nd quarter), Integers (3rd quarter), and Exponents and Orders of Magnitude (4th quarter).

### Stock Market Challenge: Intro to Finance

Quarter 1, 2: Starts on September 12, 2018

Class Time: 12:00 pm Duration: 55 min

Instructor: Christine Keen

Grade Range: 9th-12th

Prerequisites:

Stocks? Bonds? Shorts? Margins? Cryptocurrencies? Commodities? This class, built around the Stock Market Game, gives students the information and experience they need to invest for their futures. Student teams will compete to generate the highest returns on their (imaginary) money while learning about the ins and outs (and ups and downs!) of various investment strategies and the global economy. In addition to the tools provided by the Stock Market Game, students will discuss relevant readings ranging from Adam Smith through blockchain technology and be able to participate, if they choose, in the security industry's "InvestWrite" essay contest. To be successful in this class, students should read at or above grade level and be comfortable calculating decimals and percentages. They should also be prepared to do a minimum of 30 minutes of research each week and coordinate and communicate with team members. Teams of 2-3 students each will be registered with the national Stock Market Game program with an estimated registration fee of $5.00-$6.00 per team member. (This fee will be finalized when team registration details are published.) Homeschool families may elect to count this course as a component, or partial, credit in personal finance for purposes of a high school transcript.