Monthly Archives: October 2019

AOPS Algebra 1 Course, Lesson 8, 10/27/2019

Today, students continued to study the method of solving two-variable linear equations, elimination. In general, the methodology of solving multi-variable linear equation is to reduce two variables to one variable. Not all two-variable linear equation system has solution. One solution … Continue reading

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Singapore Math 8th Class, Lesson 8, 10/27/2019

Today, students continued to explore the quadratic expression factorization ax^2+bx+c when a=1 and other than 1. Factorization is one of four methods in solving quadratic equations. When a quadratic equation is factorized, using factorization in general is considered first. Therefore, … Continue reading

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AOPS Algebra 1 Course, Lesson 7, 10/20/2019

In today’s class, students reviewed linear expression/equations and studies a few examples of word problems to understand the key points and general strategy in solving the word problems in math. In the two-variable linear equations, students learned the idea of … Continue reading

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Notice of Midterm test in Singapore Math 8th Class

This class will have midterm on Nov. 3. For more details, please contact Zhao Laoshi at yz32@yahoo.com

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Singapore Math 8th Class, Lesson 7, 10/20/2019

In today’s class, I guided students to work on factorization of algebraic expressions, especially the special expression factorization, such as a^2+2ab+b^2, a^2-b^2, etc. In the quadratic expression factorization, students learned the definition of quadratic expression and the standard form, special … Continue reading

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AOPS Algebra Course, Lesson 6, 10/13/2019

Today, students continued to work on Algebra 1, the linear equations. Students understand what the linear expressions, linear equations are. The solutions to one-variable linear equations are one solution, no solution and infinite solutions. In addition, students learned the procedure … Continue reading

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Singapore Math 8th Class, Lesson 6, 10/13/2019

In today’s class, students studied expansions of Algebraic expression, especially the method of handling “sign” in algebraic expressions. A few special products were introduced that are so important in the quadratic expression section. By using those special products, we are … Continue reading

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AOPS Algebra Course, Lesson 5, 10/06/2019

In the new content section, students learned algebraic fractions, simplification of algebraic fractions, addition, subtraction. The key to implement simplification is factoring the expressions of numerator and denominator correctly, and cancellation can be only done in the form of factors; … Continue reading

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Singapore Math 8th Class, Lesson 5, 10/06/2019

In the new section of the course, I reviewed the scientific notation and introduced the operation of numbers in the form of scientific notations. Students also studied the significant digit and applications. Here is the homework for the contents above … Continue reading

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