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.