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AOPS Algebra 1 Online Course, Lesson23 , 04/05/2020

Today, students studied the graph of quadratic equations y=ax^2+bx+c and understand the feature of the graphs in the shape of “parabola”, such as, leading coefficient “a” determines the graph open direction, upward or downward, vertex point represents the minimum point … Continue reading

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Singapore Math 8th Online Class, Lesson 23, 04/05/2020

Today, students worked on the graphing method to solve the quadratic equations, understanding the relation of quadratic function y=ax^2+bx+c and quadratic equation, ax^2+bx+c=0. First of all, students learned to plot the quadratic functions, mostly using traditional way, connecting some ordered … Continue reading

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Singapore Math 8th Online Class, Lesson 22, 03/29/2020

Today, students studied the graph application in practical situation, distance vs. time, related with linear graph. The slope in the linear relation is speed of the movement of distance with time. Because of the straight line of the relationship, the … Continue reading

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AOPS Algebra 1 Online Course, Lesson22 , 03/29/2020

Today, students continued to work on “completing the square” and solving the quadratic equations by using “Completing the square”. Also, quadratic formula was also introduced in the class. As I mentioned, the formula was derived from solving the quadratic equation … Continue reading

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AOPS Algebra 1 Online Course, Lesson21 , 03/22/2020

Today is the 3rd formal online class on AOPS Algebra 1 course. In today’s class, students studied the complex numbers and the operation of complex numbers, such as addition/subtraction, multiplication and division. In addition and subtraction, we only need to … Continue reading

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Singapore Math 8th Online Class, Lesson 21, 03/22/2020

Today, students started to study the function, linear function, and quadratic function, primarily focusing on the features of graphs of each function. It is the new chapter in book 8B and workbook 8B. In linear function, slope, and intercepts are … Continue reading

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AOPS Algebra 1 Online Course, Lesson20 , 03/15/2020

In today’s class, students continued to work on the special factorization, such as the sum and difference of cubes and their applications in factoring, simplifications, number computations, and importantly the rationalization of denominators. I strongly ask students to remember those … Continue reading

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Singapore Math 8th Online Class, Lesson 20, 03/15/2020

Today, students continued to study the applications of angle systems in parallel lines, triangle, quadrilateral to the different types of the multiple sides figures. In addition, polygons were introduced, primarily the convex polygons, including the sum of interior angles of … Continue reading

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AOPS Algebra 1 Online Course, Lesson 19, 03/8/2020

In today’s class, students continued to work on solving quadratic equations by factoring. In addition, understanding the sum of solutions and product of the solutions is helpful to understand the relation of solutions and equations. In solving problems, pursuing more … Continue reading

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Singapore Math 8th Online Class, Lesson 19, 03/8/2020

Today, for the first time, we had a successful online class and most of students were able to join the class. In the class, I continued to show to solve angles problems in parallel line system, most importantly, the procedure … Continue reading

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