Math Class Descriptions
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Algebra I (Mon, Thu)
Quarter 1,2,3,4: Starts on September 5, 2024
Class Time: 11:00 am Duration: 55 min
Instructor: David Chelf
Grade Range: 7th-10th
Prerequisites: None
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 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 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.
Algebra I (Tue, Thu)
Quarter 1,2,3,4: Starts on September 3, 2024
Class Time: 12:00 pm Duration: 55 min
Instructor: Jen Hallworth
Grade Range: 7th-10th
Prerequisites: None
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.
Algebra II
Quarter 1,2,3,4: Starts on September 5, 2024
Class Time: 2:00 pm Duration: 55 min
Instructor: David Chelf
Grade Range: 10th-12th
Prerequisites: None
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.
Calculus (Honors or AP A/B)
Quarter 1,2,3,4: Starts on September 3, 2024
Class Time: 1:00 pm Duration: 55 min
Instructor: David Chelf
Grade Range: 11th-12th
Prerequisites: None
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.
Compass Kindergarten: Math Minds (Sem 2)
Quarter 3,4: Starts on January 15, 2025
Class Time: 10:00 am Duration: 175 min
Instructor: Danielle Mercadal
Grade Range: K
Prerequisites: See class decription for skills needed
Can your child sit in a circle for story time? Line up for lunch? Take turns talking? This one-day, 3-hour (half-day) program is a "taste" of kindergarten for 5- year-olds. Start your child's week off right with "Mornings with Miss M" at Compass Kindergarten. Children will work in a small group with an experienced early elementary educator for this dynamic, play-based program that offers regular interaction and socialization.
This fun, activity-based program will create rhythm and routine in a homeschooled kindergartner's week and give them a sense of community and a peer group. Children will practice routines and transitions as they move through the morning. Each session will include some simple structure such as a daily arrival song/greeting, circle time, story, snack time, activity, lunch, active game, and closing/goodbyes. Through games and activities, they will also practice key childhood social skills such as sharing, taking turns, and entering play with others. Academic basics such as the ABCs, days of the week, colors, shapes, and number sense will be integrated into activities involving fairy tales, nature and art. The teacher will provide ideas for parents to work on at home with their child during the week.
Compass Kindergarten is offered in three weekly sessions: Monday, Wednesday, or Friday. Registration is stand-alone for each day so parents can register for one, two, or all three. While each kindergarten class will give children the opportunities for learning and playing in a social environment along with classroom routines, each of the three days will focus on a particular area of study and discovery of how each is connected.
On Wednesdays, the focus will be on Math where students will be exposed to basic mathematical concepts such as adding, subtracting, skip counting, ordinal numbers, and time through stories and play.
Readiness Students must be age five (5) by the start of the program or have the teacher's approval for younger. To be successful in this program, entering kindergartners must be able to do the following preschool-level skills: (1) be able to separate from parents with little discomfort; (2) be able to sit and listen to a story or stay on a task for 10 minutes; (3) be able to follow simple, age-appropriate directions from the teacher or another adult; (4) be able to write and recognize his/her first name; (5) be able to hold and use crayons and scissors correctly; (6) be completely self sufficient in a public restroom (wiping, flushing, washing hands, etc.)
Other Notes:
- Children should bring a bagged lunch and water bottle to each session.
- There is a $50.00 material fee for class consumables due payable to the teacher on the first day of class.
- Parents can choose to drop children off for this program (different than Compass's school-year policies for 55 minute classes.)
- Registration for this program is by 16-week semester with priority registration for continuing students.
- Parents who are shopping around or applying to alternate kindergarten programs should review the Compass withdrawal policy.
Cracking Codes, Cryptology for Kids: Sleuths
Quarter 3: Starts on January 16, 2025
Class Time: 1:00 pm Duration: 55 min
Instructor: Becca Sticha
Grade Range: 3rd-4th
Prerequisites: None
Students will learn the language of undercover 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!
Student sleuths will continue their undercover operations with all-new codes such as the Atbash Cipher, Running Key Cipher, and Four-Square Cipher. Students will also learn about fingerprinting, a key clue to real sleuths solving crimes and will mix and test an invisible ink that can only be read under a black light. The quarter will culminate in a collaboration to crack a variety of codes to flee a classroom Escape Room which may include challenges such as coded letters, picture clues, mirror image writings, puzzling word searches, and cryptograms.
Topics in the Series: Spies (Quarter 1), Secret Agents (Quarter 2), Sleuths (Quarter 3), and Superheroes (Quarter 4).
Geometry
Quarter 1,2,3,4: Starts on September 5, 2024
Class Time: 1:00 pm Duration: 55 min
Instructor: David Chelf
Grade Range: 8th-11th
Prerequisites: None
This is a complete course in high school Geometry 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. Students will learn deductive reasoning, and logic by completing geometric proofs. Topics in geometry include: lines, angles, congruence, concurrence, inequalities, parallel lines, quadrilaterals, transformations, area, similarity, right triangles, circles, regular polygons, and geometric solids. Students will explore these topics through class discussions, practice problems, and open-ended problem solving.
Prerequisite: Students should have a solid foundation in 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: Geometry: Seeing, Doing, Understanding, 3rd edition (ISBN-10 0716743612, ISBN-13 978-0716743613) A calculator is not needed for this course.
Credit: Homeschool families may wish to count this course as a complete credit in Geometry for purposes of a high school transcript.
Mental Math Fun: Brain Blast
Quarter 3: Starts on January 16, 2025
Class Time: 10:00 am Duration: 55 min
Instructor: Becca Sticha
Grade Range: 5th-6th
Prerequisites: None
Students will tackle a variety of puzzles, games, and riddles each week that will develop their critical thinking, logic, math reasoning, and problem-solving skills while having loads of fun in class! Hands-on activities may use cards, dice, coins, cubes, toothpicks, math board games, math card games, and of course, lots of numbers. Every activity is in essence a math problem, and students will learn tips and techniques for tackling the challenges.
For each new puzzle, game, and riddle, students will learn concepts and strategies that they can apply to solving ANY math challenge, such as: the phases of solving a problem, what to do when you get stuck, how to make predictions, how to generalize from specific cases, and what questions to ask yourself. Example activities include the game of Thirty One, logic grids, cryptograms, and deduction games. Through these weekly activities, students will learn that math isn't just something done at a desk with pencil and paper, but is present everywhere you look, and that the ability to think mathematically can be not only useful, but also fun!
Students can take this class each quarter as a different selection of puzzles, games, and activities will be introduced each session. Topics in this series include: Brain Games (Quarter 1), Brain Teasers (Quarter 2), Brain Blast (Quarter 3), and Brain Busters (Quarter 4).
Number Ninjas: Super Shapes
Quarter 3: Starts on January 16, 2025
Class Time: 11:00 am Duration: 55 min
Instructor: Becca Sticha
Grade Range: 1st-2nd
Prerequisites: None
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.
Third quarter, students will dive into geometry by creating plane figures and sorting them according to the number of sides, vertices, and angles. We will complete symmetrical pictures with pattern blocks and drawings. Students will compare and sort 2-D and 3-D shapes using everyday objects. We will build a in-class projects featuring shapes.
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: Play with Place Value (Quarter 1), Measurement Madness (Quarter 2), Super Shapes (Quarter 3), and Fun with Fractions (Quarter 4).
Pre-Algebra
Quarter 1,2,3,4: Starts on September 3, 2024
Class Time: 11:00 am Duration: 55 min
Instructor: Jen Hallworth
Grade Range: 7th-9th
Prerequisites: None
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.
Precalculus with Trigonometry
Quarter 1,2,3,4: Starts on September 5, 2024
Class Time: 10:00 am Duration: 55 min
Instructor: David Chelf
Grade Range: 10th-12th
Prerequisites: None
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, 6th edition by Stewart, Redlin, and Watson (ISBN-10 0840068077, ISBN-13 978-0840068071). 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.
Preparation for Pre-Algebra
Quarter 1,2,3,4: Starts on September 3, 2024
Class Time: 10:00 am Duration: 55 min
Instructor: Jen Hallworth
Grade Range: 6th-7th
Prerequisites: None
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).
Private Tutoring: Practical Math for Real Life
Quarter 1,2,3,4: Starts on September 3, 2024
Class Time: 12:00 pm Duration: 55 min
Instructor: David Chelf
Grade Range: 10th-12th
Prerequisites: None
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.
Probability & Statistics (On-Level or Honors)
Quarter 1,2,3,4: Starts on September 3, 2024
Class Time: 11:00 am Duration: 55 min
Instructor: David Chelf
Grade Range: 11th-12th
Prerequisites: None
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.
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