Probability & Statistics (On-Level or Honors)   (Contact Us for Mid-term Enrollment)

Quarter(s): 1,2,3,4

Day(s): Tue, Fri

Open Spots: 6

The odds of winning the Powerball jackpot are 1 in 292 million. 77% of teens ages 12-17 have cell phones. One out of every two youth voters cast a ballot in 2020. From election polls to stock market data and weather reports to medical test results, statistics and probability are all around us. They are quoted in the podcasts we listen to, the news we watch, and the textbooks and articles we read. Statistics and probability are used in almost every field of study and career for forecasting, decision making, and tracking progress. In 2021-22, the government will release a tsunami of 2020 census statistics about our country's population. (Coincidentally, the odds of a tsunami hitting the east coast- less than the Powerball win.) But statistics and probability are also often misused, misquoted or incorrectly applied, so having a solid understanding of what these numbers represent will help make teens informed consumers and decision-makers. This course will explore the collection and analysis of data, inferences and conclusions, and the use of this information. Themes include relationships between variables, gathering data, interpreting categorical versus quantitative data. The class will also cover sample surveys, experiments, and observational studies and evaluate randomness and probability. Finally, students will learn about making inferences, justifying conclusions, and using probability to make decisions. Prerequisite: Students should have a solid foundation in Algebra I and Geometry in order to take this class. It is an ideal class for a student who needs an additional credit in high school math, but who may not wish to pursue more advanced mathematics courses such as Algebra II and Pre-Calculus. Levels: The course provides a substantive, full-credit experience on either an Honors or On-Level track. All class members share core material and participate in the same class lectures. Honors students will receive additional, more challenging problems. Students register online for the same course but must indicate which level they wish to follow by the first day of class. Students may move down a level (from Honors to On-Level) at any time. Workload: Students should expect to spend 1-1.5 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 7-day cycle, with assignments posted on Thursdays and due the following Thursday. Students are advised to start homework once it is assigned (i.e., not wait until the night before it is due). Weekly homework assignments will be of a length that a student should be able to complete them in two or three at-home work sessions. Solutions will be provided for some homework problems, but students are expected to show all steps of their 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: Student progress will be assessed by: (1) The instructor checking that weekly homework sets are attempted and complete and (2) detailed grading of periodic take-home tests. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade. See the instructor's webpage for detailed homework and test policy, including late work and re-work. Textbook: The required textbook for this class is "Stats In Your World" 1st edition by David E. Bock (ISBN-13: 978-0131384897). Credit: Homeschool families may wish to count this course as a complete credit in Probability & Statistics for purposes of a high school transcript.

Private Tutoring: Practical Math for Real Life   (Contact Us for Mid-term Enrollment)

Quarter(s): 1,2,3,4

Day(s): Tue, Fri

Open Spots: 1

Financing a motorcycle, buying your first car, comparing lease options on an apartment, understanding your paycheck, and selecting insurance. These are all real-life scenarios that young adults will face within the first five years of graduating high school, if not sooner. These choices and others are an inevitable part of "adulting" and require a solid understanding of essential math skills. This course will work through practical, real-life situations and will review the math skills needed to make informed choices. Often called "Consumer Math," this course will review arithmetic concepts such as decimals, fractions, discounts, rates, ratios, proportions, rounding, simple interest, estimating, and measurements. However, instead of working math problems in abstract exercises, students will revisit these concepts in the context of scenarios they will encounter in everyday life. What is a better deal: an extra 15% off the already discounted sales price of 30% off or Buy One, Get One free? Students will be able to use/apply arithmetic concepts to common scenarios to make informed consumer choices. Course themes include:

• Banking and Checking Accounts including balancing a checkbook (on paper and spreadsheet), understanding fees, and interest.
• Saving and Investing including how money grows, simple and compounding interest, overview of how stocks, bonds, savings accounts, and CDs work, and discussion on personal emergency fund.
• Credit Cards including fees, minimum payments, interest, what happens when the balance is not paid off, and a look at consumer credit scores.
• Measurement/Metric System/Unit Conversion including a review of what units are used for what items in imperial and metric systems, common ballparks and estimates, mathematical methods to convert and compare units, and the use of apps to make conversions.
• Sales/Discounts by looking at examples to compare various promotions and to calculate which is a better deal.
• Wages/Income including calculating weekly or bi-weekly or annual pay from a rate, estimate payroll withholdings as percentages, look at hour overtime affects earnings, commissions, and a survey of the salaries and hourly rates for variety of jobs teens and young adults might have.
• Pricing and Cost including sales taxes and how goods and services are priced and what mark-ups should be considered- useful for those wanting to have their own business.
• Rent/Mortgages For rentals, understand application fees, security deposits, and pre-paid amounts, monthly rate and what is included, and term of lease and make comparison among options. For purchases: understand how mortgages vary based on down payment, term, and interest rate. Students will look at cost of homes in their area and practice using online calculators to adjust down payment, term, interest rate, and homeowners' insurance affect monthly payment, and they will look briefly at how the amount paid towards principle and interest (P/I) change over time.
• Types of Insurance including auto, health, and hazard insurance. What is required, what is recommended, and how much do they cost? Understanding option such as employer-paid v. self-pay; private insurance v. ACA marketplace policy; and terminology such as co-pay, co-insurance, deductible, out-of-pocket maximum, etc.
• Loans- Auto/Student/Personal/Consumer (such as furniture) including understanding how down payment, term, and interest rate affect your monthly payment and what it means to have "no interest for 12 months" or "zero down."
• Automobiles including the cost of warranties and what they cover, the costs of owning and operating a vehicle, fuel efficiency, and the metrics of EVs.
• Budgeting including a personal plan given assumed career/average salary, and all anticipated expenses (housing, utilities, transportation, food, insurance, medical, clothing, entertainment).

Prerequisites: Pre-Algebra Workload: Students should expect to spend 1-1.5 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 7-day cycle, with assignments posted on Thursdays and due the following Thursday. Students are advised to start homework once it is assigned (i.e., not wait until the night before it is due). Weekly homework assignments will be of a length that a student should be able to complete them in two or three at-home work sessions. Solutions will be provided for some homework problems, but students are expected to show all steps of their 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: Student progress will be assessed by: (1) The instructor checking that weekly homework sets are attempted and complete and (2) detailed grading of periodic take-home tests. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade. See the instructor's webpage for detailed homework and test policy, including late work and re-work. Textbook/Materials: Students should purchase or rent Mathematics for Business and Personal Finance,by McGraw Hill Publishers, 1st Edition (ISBN-13: 978-0078805059) [race cars on cover] What to Bring: Notebook or paper, pen or pencil, textbook and/or workbook. From time to time the instructor may ask students to bring a smart phone (for apps) or laptop for in-class investigation. Credit: Homeschool families may wish to count this course as full credit in Mathematics or Personal Finance for purposes of a high school transcript.

Calculus (Honors or AP A/B)   (Contact Us for Mid-term Enrollment)

Quarter(s): 1,2,3,4

Day(s): Tue, Fri

Open Spots: 6

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 in 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 2024 for the May 2025 exam. Workload: Students should expect to spend 1-1.5 hours per day on reading, review, and homework on most non-class days. Homework assignments will run on a 7-day cycle, with assignments posted on Thursdays and due the following Thursday. Students are advised to start homework once it is assigned (i.e., not wait until the night before it is due). Weekly homework assignments will be of a length that a student should be able to complete them in two or three at-home work sessions. Solutions will be provided for some homework problems, but students are expected to show all steps of their 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: Student progress will be assessed by: (1) The instructor checking that weekly homework sets are attempted and complete and (2) detailed grading of periodic take-home tests. Parents will be able to view accumulated points awarded in the class for the purpose of determining a parent-awarded course grade. See the instructor's webpage for detailed homework and test policy, including late work and re-work. 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.

Preparation for Pre-Algebra   (Contact Us for Mid-term Enrollment)

Quarter(s): 1,2,3,4

Day(s): Tue, Thu

Open Spots: 8

Preparation for Pre-Algebra is a year-long curriculum that will teach the fundamentals a student must master before embarking pre-algebra, algebra, and beyond. The class will review arithmetic skills, operations, and number theory. Key topics include fractions, rates, ratios, decimals, and percentages. Students will learn the computational operations of adding, subtracting, multiplying, and dividing fractions and decimals. They will learn what decimals stand for, how they relate to fractions, and how to convert between the two. They will discover how rates and ratios are also fractions. Students will learn how to work with negative numbers including strategies for completing all four common operations with negative numbers. The class will also cover exponents and orders of magnitude to make sense of really small and really big numbers and common operations. This class will also emphasize real world applications of the mathematical concepts through word problems so students become comfortable switching between prose (written descriptions) and mathematical representation (numbers, symbols) of real world examples such as money, mileage, weights, percentages, and scientific measures. Prerequisites: This course can be considered a pre-pre-algebra class that will teach the core concepts typically covered in later elementary school/early middle school after a general arithmetic curriculum and before pre-algebra. While different curriculums and student pacing will vary, this class would be appropriate for a student who has successfully covered long division, multiplication of multiple digit numbers, and an introduction to simple fractions and who has complete mastery of multiplication facts, skills often aligned with 5th grade mathematics. Workload: Students should expect to spend 3-4 hours per week outside of class to complete practice problems, homework, and assessments. Assignments: The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address to be set up 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; spot-checking the full solution 1-2 select problems in class each week, and giving quarterly take-home tests. Points will also be awarded for class participation. Parents will be able to view accumulated points awarded in the class for purpose of determining a parent-awarded course grade. Textbook: Students should rent of purchase the class text: EP Math 5/6 Workbook (ISBN# 979-8643323693).

Pre-Algebra   (Contact Us for Mid-term Enrollment)

Quarter(s): 1,2,3,4

Day(s): Tue, Thu

Open Spots: 9

This is a complete 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 and Properties, Equations and Inequalities, Functional Relationships and Ratios, Percent and 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. See the instructor's webpage for detailed homework and test policy, including late work and re-work. 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). 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.

Algebra I (Tue, Thu)   (Contact Us for Mid-term Enrollment)

Quarter(s): 1,2,3,4

Day(s): Tue, Thu

Open Spots: 8

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. In addition, students should be capable of copying the sample problems and solutions worked in class on the white board to his/her own notes as examples for completing homework. Workload: Students should expect to spend 3-4 hours per week outside of class to complete practice problems, homework, and assessments. Assignments: The Canvas online class management system will be used to post assignments and scores. Students should have their own e-mail address to be set up 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; spot-checking the full solution 1-2 select problems in class each week, and giving quarterly take-home tests. Points will also be awarded for class participation. Parents will be able to view accumulated points awarded in the class for purpose of determining a parent-awarded course grade. See the instructor's webpage for detailed homework and test policy, including late work and re-work. Textbook: Students should purchase 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.