赵一兵

Today, students continued to work on coordinate plane and straight line. Students studied the distance between two points in the coordinate plane through the Pythagorean theorem, midpoint coordinates between two points, slope of straight line passing through two points, and meanings of slopes. Writing linear equations through two given points, or slope and a point is a practice of line equations in coordinate plane. This method is called “slope-point” way, that means to form equation through slope definition. Besides, students need to figure out the relation of standard form of straight line equation and the slope-point form of straight line equation.
Here is the homework assignment:

P.214, 8.1.3, 8.1.4

P.224, 8.2.1, 8.2.4

P.228, 8.3.1, 8.3.2, 8.3.3

P.232, 8.4.1, 8.4.3, 8.4.5 (a) (b)

Today, students continued to study the word problems associated with “rate”, driving from one place to another, average speed, working rate, rowing boat in downstream and upstream. The most challenging part is in the working rate, and people are involved in the work. In the practice class, students finished a few of rate questions and they should understand more about solving the questions by creating equations. In the new chapter, graphing lines, number line and Cartesian plane (coordinate plane) were introduced. ordered pairs are defined to represent the points in the coordinate plane.
Here is the homework related to today’s contents
P.202, 7.4.1, 7.4.2, 7.4.3, 7.4.4, 7.4.5, 7.4.6P.214, 8.1.1, 8.1.2

Today, students behaved quite well in the class. We smoothly moved forward in the math study. I finished word problems solving by using quadratic equations, and introduced algebraic fractions, including simplifications of fractions, multiplication and division of algebraic fractions, addition of algebraic fraction. In the simplification, the knowledge of algebraic expression factorization plays important role because without expressions in the factor form, the simplification is not able to carry out.

Here is the homework for today’s class

CH.4
14, 16, 17, 20, 21
CH.5
1, 2, 3,a, c,e,g,i; 12.a,c,e,g,i; 13.a,c,e,g,i

Today, students worked on percentage and proportion such as direct proportion, inverse proportion, joint proportion and applications. Some students still feel challenging in percentage application questions. Fundamentally, students do need to have solid conceptual comprehension, then work on real problems.
Homework for today’s course:
P.182, 6.5.3, 6.5.6

P.190, 7.1.1, 7.1.3, 7.1.4

P.192, 7.2.1, 7.2.2, 7.2.3

P.203, 7.4.3

In today’s class, students continued to study solving quadratic equations by using factorization. Different types of quadratic equations were introduced in the class. The word problems that use quadratic equation knowledge were demonstrated to students, such as finding numbers, finding side lengths of rectangle. The keys in solving word problems were reiterated, like, defining the variable(s), writing math expressions, and writing equations, and finally checking solutions and answer questions.

Here is the homework for the contents above

Workbook 8A

Ch.4

7. (b) (d) (f) (h) (j)

8, 9, 10, 13, 15.

Today, students continued to study ratio in the application problems. In addition, students learned the definition of percent and standard formulas for percentage, increasing percent and decreasing percent.
Here is the homework assignment:
P.166, 6.2.5, P.172, 6.3.1, 6.3.3, 6.3.4, 6.3.6, P.176, 6.4.1, 6.4.2, 6.4.3, 6.4.4, 6.4.5, P.182, 6.5.1, 6.5.2, 6.5.4

In today’s class, students continued to work on word problems since it is a challenging section in Algebra for most of the students. The summary of strategy to write the algebraic expressions and equations is useful for students to master the skills. A new chapter including ratio was introduced as well in the class. Students should grasp the keys of finding the relation of ratio and actual numbers, individual and whole.
Here is the homework covering today’s contents:
P.141, 5.4.4, 5.4.5P.161, 6.1.1, 6.1.2, 6.1.4P.166, 6.2.1, 6.2.2, 6.2.3, 6.2.4

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, it is critical to grasp the skills of factorization.

The homework to cover the contents above
Workbook 8A
Ch. 4
1. c,d,e,f
2.
3. a, b, c, d
6. a, d, e, f, g, j
7. a, c, e, g, j
11. a, c, d
15. a, b