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# Author Archives: zhaoyibing

## AOPS Algebra 1 Online Course, Lesson32 , 06/21/2020

Today, we worked on two more functions: absolute and radical after studying more in the logarithm. All of the knowledge in this chapter is truly a basic concepts about the special function, domain, range, graphs, equations. More and deep things … Continue reading

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## AOPS Algebra 1 Online Course, Lesson31 , 06/14/2020

In today’s class, students continued to study exponential functions, equations and interest that is dealing with money. This is hard section for students because the methods that make money in different ways, such as simple interest, compounded interest and relation … Continue reading

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## AOPS Algebra 1 Online Course, Lesson30 , 06/07/2020

Today, students studied the functions, particularly of polynomial function and exponential function. In polynomial function, function standard form, domain, degree, addition/subtraction, multiplication of polynomials were introduced and studied. In exponential function, domain, range, graph were present. Solving exponential equations from … Continue reading

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## AOPS Algebra 1 Online Course, Lesson29 , 05/31/2020

Today, students continued to study function, composition function, inverse function, solving problems by functions and graphs of function. Some of challenging questions were demonstrated to help the understanding of the conceptual and practical ideas.Here is the homework assignment for today’s … Continue reading

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## AOPS Algebra 1 Online Course, Lesson28 , 05/17/2020

today, students studied the new concept: function, which is discribing a relation of independent variable and dependent variable. In the function topic, domain, range, evaluation, combining functions, composition, were introduced in the class. Here is the homework assignment:P.460, 16.1.1, 16.1.2, … Continue reading

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## AOPS Algebra 1 Online Course, Lesson27 , 05/10/2020

Today, students continued to work on sequence and series, geometric sequence and series. Different from arithmetic sequence, geometric sequence has the common ratio. Same as arithmetic sequence and series, geometric sequence and series has the formulas to find the nth … Continue reading

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## AOPS Algebra 1 Online Course, Lesson26 , 05/03/2020

In today’s class, we changed the topic from quadratic related to number list related: sequence and series. This is the basic of sequence and series in algebra. We started with arithmetic sequence and series which has the same difference between … Continue reading

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## AOPS Algebra 1 Online Course, Lesson25 , 04/26/2020

Today, students continued to study one-variable quadratic inequality with the non-factorable quadratic expression and real solutions or with the non-factorable expression and non-real solutions. The key is how to write a quadratic expression in factor form from the roots of … Continue reading

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## Singapore Math 8th Online Class, Lesson 24, 04/19/2020

Today, students studied another two methods to solve quadratic equations, “completing the square” and “quadratic formula”. In fact, quadratic formula is derived in solving standard quadratic equation, ax^2+bx+c=0, by using “completing the square”. Both methods are so powerful that all … Continue reading

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## AOPS Algebra 1 Online Course, Lesson24 , 04/19/2020

Today, students studied writing quadratic equations and solving quadratic inequality with one variable. Writing equations requires at least three conditions and selects proper quadratic form to find the values that need to complete the equation, such as standard form and … Continue reading

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