Review day today. We go over what we have learned for this semester.
Final exam will be next week on 1/18, and we will start the 2015 Spring semester on 1/25.
No homework today, but students should go over their classroom notes and homework to prepare for the exam next week.
Good luck!
We study unit conversion, as well as volumes and surface areas of composite solids.
For unit conversion, 1 m = 100 cm, 1 m^2 = 100×100 cm^2, and 1 m^3 = 100x100x100 cm^3.
With composite solids, it is important to identify how the solid is made up. This is usually reflected in its cross-section is made up. Often we need to figure out how to calculate the area of the cross-section.
We won’t have school until 1/11/2015 when we will have a review session. On 1/18/2015, we will have our final for the Fall semester.
Homework: Page 37, #8, #9, #13, #24 – 27.
We study volume and total surface area of a prism.
A prism is a solid with two parallel polygon for its end faces and a uniform cross-section. Each face is a base and a prism is named by the shape of its base. Hence we have triangular prism, rectangular prism, pentagonal prism, etc.
The perpendicular distance between the two bases of a prism is called its height. The other faces of a prism are called lateral faces. For now, we shall only consider those right prisms whose lateral faces are rectangles.
The volume of a prism = Base area * Height
Total surface area of a prism = perimeter of the base * Height + 2 * (Base area)
Homework:
Page 35, #4 – #7, #16 – #19, #22, #23.
We talk about volumes and total surfaces areas of cubes and cuboids.
For a cube with the side as x, its volume is x^3 and total surface area is 6x^2.
For a cuboid with sides as l, w, h, its volume is lwh and total surface area is 2(lw + lh + wh).
Homework:
Page 35, 1(a,c,e), 2(b,d,f,h), 3, 8(a,b), 10, 11, 12, 13, 25, 26
We cover the following content today:
* Area of a Parallelogram: A = base * perpendicular height
* Area of a Trapezoid: A = (a + b)h/2 where a and b are the lengths of two parallel sides and h is the keight
* Perimeters and areas of composite plane figures
The key takeaway points are to remember those formula for perimeters and areas of various figures. Composite figures are made of those special figures.
Homework:
Page 26, #6 – #8, #9 (a,b,d), #10 (c, d), #11, #12, #15, #17. #18.
We first went over the midterm exam questions. Some students didn’t do very well. I have emailed every parent about the student’s exam result. Parents, please ask to see the student exam paper and talk to your kids.
Do encourage your kids to ask questions in the classroom if there is anything he/she does not understand.
We studied perimeters and areas of a square, a rectangle, and a triangle, and we studied the circumference and area of a circle.
Homework:
Page 25, #1 – #5, #9c, #10a, #10b., #13.
We have midterm exam today. Results will be given back to the students next week.
[I am still out of town]
It is review day today. We will have our midterm exam next week. Please go over your classroom notes as well as homework to prepare.
No particular homework today other than reviewing the past notes and homework.
[I am out of town and this class was taught by our substitute teacher Zheng Laoshi]
We further study solving linear inequalities using the properties we learned last time. We look at applications of simple inequalities.
Homework:
Page 18. #8 – #13, #20, #23 – #25.
We study simple linear inequalities. Unlike a simple linear equation where there is always one and only one solution, a linear inequality can have many solutions. We study the properties of ineqaulities:
If a > b, and k > 0, then ak > bk.
If a > b and k < 0, then ak < bk.
If a > b, then a + c > b + c.
If a < b, and b < c, then a < c.
The above properties are also true for cases of a >= b.
We talked about using the above properties to solve very simple inequalities like 4x < 28, or 3x >= 36.
Homework:
Page 17, #1 to #7, #14.
