這門課是在 英語講授的。

 Day 1: Arithmetic Fundamentals
- Review of basic arithmetic operations (addition, subtraction, multiplication, division)
- Order of operations (PEMDAS/BODMAS)
- Properties of numbers (commutative, associative, distributive)

 Day 2: Fractions and Decimals
- Operations with fractions (addition, subtraction, multiplication, division)
- Converting between fractions and decimals
- Solving word problems involving fractions and decimals

Day 3: Percentages and Ratios
- Understanding percentages and their applications
- Solving problems involving percentages (e.g., discounts, interest)
- Ratios and proportions

Day 4: Algebra Basics
- Introduction to algebraic expressions
- Solving linear equations
- Simplifying algebraic expressions

Day 5: Geometry Basics
- Introduction to geometric shapes and figures
- Calculating perimeter and area of basic shapes (rectangles, triangles, circles)
- Understanding angles and their properties

 Day 6: Advanced Algebra
- Solving quadratic equations
- Graphing linear and quadratic functions
- Systems of equations

 Day 7: Advanced Geometry
- Calculating volume and surface area of three-dimensional shapes
- Pythagorean theorem and its applications
- Introduction to trigonometry (basic concepts)

Day 8: Data Analysis
- Mean, median, mode, and range
- Interpretation of graphs and charts (bar graphs, line graphs, pie charts)
- Probability basics

Day 9: Review and Practice
- Comprehensive review of all topics covered
- Practice solving various types of math problems
- Time management strategies for the test

Throughout the syllabus, incorporate practice problems and examples to reinforce understanding. Encourage students to ask questions and seek clarification on any topics they find challenging. Additionally, provide resources such as textbooks, online tutorials, and practice tests for further study and preparation.

I am a California certified teacher with multiple degrees and certifications  (B.A., M.Ed, Ed.D in Educational leadership, ESOL, GLAD, and AVID) who has taught Middle school and Upper Elementary school for 22 years and I have been teaching mathematics and science to homeschoolers from grades k-12, both in-person and online for over 20 years.  I always wanted to be a teacher, and I am living the dream!  Also, I cater to students who struggle with or do not care for math and science. I say this because Algebra is critically important because it is often viewed as a gatekeeper to higher-level mathematics and it's a required course for virtually every postsecondary school program.  I have 6 basic reasons why I think offering this class is so important.  

1) Algebra is Faster And Better Than “Basic” Math
Just as multiplying two by twelve is faster than counting to 24 or adding 2 twelve times, algebra helps us solve problems more quickly and easily than we could otherwise. Algebra also opens up whole new areas of life problems, such as graphing curves that cannot be solved with only foundational math skills.

2) Algebra is Necessary to Master Statistics and Calculus

While learning one kind of math to learn more kinds of math may not be an immediately satisfying concept, statistics and calculus are used by many people in their jobs. For example, on my other side job as a research person for a local non-profit organization, I use statistics every day. I help departments identify ways to measure their success. In general, statistics are used in certain jobs within businesses, the media, health and wellness, politics, social sciences, and many other fields. Understanding statistics makes us wiser consumers of information and better employees and citizens.

Calculus helps us describe many complex processes, such as how the speed of an object changes over time. Scientists and engineers use calculus in research and in designing new technology, medical treatments, and consumer products. Learning calculus is a must for anyone interested in pursuing a career in science, medicine, computer modeling, or engineering.

3) Algebra May Be a Job Skill Later

A student may be confident they are not going into any career needing statistics or calculus, but many people change jobs and entire careers multiple times in their working life. Possessing a firm knowledge and understanding of algebra will make career-related changes smoother.

4) Algebra Can Be Useful in Life Outside of the Workplace

I have found algebra helpful in making financial decisions. For example, I use algebra every year to pick a health care plan for my family using two-variable equations to find the break-even point for each option. I have used it in choosing cell phone plans. I even used it when custom-ordering bookshelves for our home. 

5) Algebra Reinforces Logical Thinking

I would not use algebra as the only means of teaching logic. There are more direct and effective means of doing so, but it is a nice side-benefit that the two subject areas reinforce one another.

6) Algebra is Beautiful

The beauty of algebra is an optional benefit because one has to truly choose to enjoy it, but algebra provides us with a basic language to describe so many types of real-world phenomena from gravity to the population growth of rabbits. That five letters can be used to describe how an entire category of matter, namely ideal gases, behaves is amazing and beautiful in its simplicity.

There is also a beauty when we start with a complex-looking problem and combine and simplify over and over until we have one value for each variable. The process can be enjoyable and the result immensely satisfying.

Algebra is an important life skill worth understanding well. It moves us beyond basic math and prepares us for statistics and calculus. It is useful for many jobs some of which a student may enter as a second career. Algebra is useful around the house and in analyzing information in the news. It also reinforces logical thinking and is beautiful.

So, keep an open mind about why we learn algebra and look for ways to share its applications with students. Dispel the stigma that it is a boring list of rules and procedures to memorize. Instead, consider algebra as a gateway to exploring the world around us. Those are our top reasons why we learn algebra, and there are plenty more. 

提供的家庭作業
Each class period, students will be given approximately 20-30 minutes of daily practice that follows the lessons taught. While not mandatory, it is highly recommended that students complete this homework between sessions.
1 - 2 每週課外時間
提供的評估
There will be no formal assessments in this course since it is a review course. However, please feel free to reach out to me if you'd like a paper copy of the 8th-grade End of Course math test or regarding how your learner did throughout the class!
提供的成績

1. Basic Arithmetic
2) Understanding of Fractions and Decimals
3) Understanding of Ratios and Proportions
4) Understanding of Percentages
5) Knowledge of Integers
6) Basic Algebraic Concepts
7) Geometry Fundamentals

We use Google Slides and Edulastic.com in order to assign work and live collaborate during class. A Google account is required and is free. Students can use any Google account either of their own or of a parent or guardian. Through Outschool, I will send a Google Slides document that contains all their work, notes, and homework.

We also use the Zoom Whiteboard extensively for lessons. The only device that does not allow students to annotate on the Zoom Whiteboard is a Chromebook. I recommend that your student not use a Chromebook if possible. I also recommend avoiding cell phones to log in as they are very difficult to navigate the Whiteboard and Google Classroom (though not impossible! especially for tech-savvy kids).