Math Class Descriptions

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 1-1.5 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: 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.

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.

Kids encounter fractions everyday but may not realize it! They intuitively understand half of a cookie, one quarter of cake, or a third of a pizza. Each week students will use real world examples to illustrate fraction concepts such as part of a whole, part of a set, number lines, comparing fractions, and more. For example, have you ever wondered where music notes get their names? Explore fractions as part of a whole by examining a measure and how different notes make up the whole. Students will create rhythms and be able to explain the math behind the music. Enjoy games? Learn a new version of the game War and dazzle your friends with tricks to quickly compare fractions in your head. Do you like to cook? Fractions are found in recipes that kids like to bake. Explore what it means to buy three quarters of a pound of cheese at the deli, be half way to grandma's house, and express that there were 72 red Legos in a package of 500. Fractions even pop up in telling time- half past ten or quarter 'til one. Fractions can be learned through hands-on experiments with everyday objects. Students will cut, chop, slice, and separate to see that 2/6 is the same as 1/3. They will experiment with combining fractions, such as doubling or tripling a recipe. These activities will provide a real-life understanding of different denominators and equivalent fractions. Students will practice problem solving skills, reasoning, and basic math in this class. Demystify fractions and enjoy math in your daily life!

Topics in this Series: Measurement Madness (Quarter 1); Fun with Fractions (Quarter 2); Geometry Games (Quarter 3); and Simple Statistics (Quarter 4)

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

Second quarter, students will learn all about the denominations of US money, starting with coins then currency then both. Students will learn to recognize each US coin and bill, name the value, understand which is greater or less, and which combinations are equal and interchangeable (5 nickels = 1 quarter). They will practice combining coins and currency to make different numbers and will learn to read written symbols for money. They will make simple play transactions in the imaginary classroom store. The concept of "making change" will be discussed, but may be limited by students' subtraction skills.

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.

Topics in the Series: Patterns & Properties (Quarter 1), Money Math (Quarter 2), Learning Logic (Quarter 3), and Math in Nature (Quarter 4).

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.

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 1-1.5 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: Precalculus: Mathematics for Calculus, 7th edition by Stewart, Redlin, and Watson (ISBN-13: 978-1305115309). 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.