Developing computational capacity for students in teaching exponential functions, exponential functions and logarithmic functions in calculus 12

Ho Thi Kim Quynh	12A15	357	3
25	Dinh Vang The Tam	12A15	485	5
26	Le Thi Cam Tien	12A15	132	5
27	Danh Thi Kim Tien	12A15	132	6
28	Lu Trong Tin	12A15	485	6
29	Nguyen Thai Thanh	12A15	357	5
30	Le Si Thanh	12A15	209	5
thirty first	Nguyen Thi Phuong Thao	12A15	357	6
32	Tran Phuong Thao	12A15	485	5
33	Tran Thi Thu Thao	12A15	357	3
34	Du Hoang Minh Thu	12A15	485	5
35	Ly Anh Thu	12A15	357	7
36	Phan HuǶnh Thy	12A15	357	8
37	Vo Thu Trang	12A15	485	5
38	Tieu My Tran	12A15	209	3
39	Le Thanh Tri	12A15	209	5
40	Nguyen Thi Kim Vang	12A15	357	6
41	Tran Thi Kim Van	12A15	357	7
42	Ta Thuy Vy	12A15	357	3
43	Tran Le Ai Vy	12A15	209	5
44	Bui Thi Hoang Vy	12A15	485	8
45	Nguyen Thi Tuong Vy	12A15	357	6

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APPENDIX 7

Grade 12A14 transcript after teaching experiments and checking results

First and last name	Class	Code	Point
first	Le Thi Thuy An	12A14	102	5
2	Dinh Nguyen Phuong Anh	12A14	205	5
3	Nguyen Thi Hong An	12A14	390	4
4	Nguyen Thi My Duyen	12A14	485	4
5	Tran Khanh Du	12A14	102	5
6	Nguyen Tien Hai	12A14	205	3
7	Tran Hoang Gia Han	12A14	390	5
8	Tran Tu Huyen	12A14	485	2
9	Phan Thi Cam Huong	12A14	102	7
ten	Luc My Linh	12A14	205	5
11	Nguyen Thi Truc Ly	12A14	390	3
twelfth	Tran Thi Thuy My	12A14	485	4
13	Phan Ngoc Ngan	12A14	102	5
14	Doan Mong Nghi	12A14	205	6
15	Quach Tieu Nguyet	12A14	390	3
16	La Thi Huyen Nhu	12A14	485	3
17	Nguyen Hoang Phuc	12A14	102	6
18	Tran Cong Son	12A14	205	6
19	Nguyen Tien Tai	12A14	390	5
20	Lam Gia Te	12A14	485	7
21	Nguyen Thanh Tu	12A14	102	5
22	Ho Thanh Tuyen	12A14	205	6
23	Quach Thi Tuyen	12A14	390	5

Trinh Thanh Tuyen	12A14	485	3
25	Ngo Quy Ty	12A14	102	6
26	Nguyen Huu Thai	12A14	205	5
27	Tran Ngoc Thanh	12A14	390	5
28	Du Dong Thanh	12A14	485	5
29	Thi Hong Tham	12A14	102	6
30	Le Minh Thuan	12A14	205	7
thirty first	Nguyen Thi Thu Thuy	12A14	390	5
32	Nguyen Anh Thu	12A14	485	9
33	Vǜ Anh Thu	12A14	102	3
34	Vǜ Anh Thu	12A14	205	7
35	Tran Thi Kieu Trang	12A14	390	5
36	Nguyen Thi My Tran	12A14	485
37	Phan Minh Trong	12A14	102	3
38	Ngo Thien Trung	12A14	205	4
39	Thai Hoang Vinh	12A14	390	7
40	Tran Duc Vinh	12A14	485	6
41	Bui Thi Yen Vy	12A14	102	4
42	Tran Ngoc Yen Vy	12A14	205	8
43	Mai Ngoc Yen	12A14	390	7
44	HuǶnh Kim Yen	12A14	485	5
45	La Thi Hoang Yen	12A14	102	5

APPENDIX 8

Grade 12A15 transcript after teaching the comparison and checking the results

First and last name	Class	Code	Point
first	Bui Thi Hoang An	12A15	485	3
2	Nguyen Thi Tuong Duy	12A15	357	5
3	Vo Bao Duy	12A15	485	4
4	Truong Thanh Dong	12A15	357	7
5	Dang Nguyen Hung	12A15	357	5
6	Tran Nguyen Gia Hung	12A15	485	7
7	Tran Quoc Hung	12A15	132	5
8	Duong My Huong	12A15	132	2
9	Le Thi Kieu	12A15	485	5
ten	Nguyen Tran Hoang Khang	12A15	357	6
11	To Hoang Khang	12A15	209	3
twelfth	Ha Phuoc Khanh	12A15	485	5
13	Mai Truc Linh	12A15	209	6
14	Quach Tuan Loi	12A15	132	6
15	Nguyen Thi Diem My	12A15	209	3
16	Ly Be Ngan	12A15	132	3
17	Danh Xuan Nghi	12A15	132	5
18	Nguyen Ai Ngoc	12A15	357	6
19	Nguyen Thi Bich Ngoc	12A15	209	4
20	Truong Thi Xuan Nguyen	12A15	132	6
21	HuǶnh Thi Dung Nhu	12A15	209	5
22	Le Xuan Binh Phong	12A15	357	7
23	Nguyen Thi Hanh Phuc	12A15	209	6

Ho Thi Kim Quynh	12A15	357	3
25	Dinh Vang The Tam	12A15	485	7
26	Le Thi Cam Tien	12A15	132	5
27	Danh Thi Kim Tien	12A15	132	7
28	Lu Trong Tin	12A15	485	4
29	Nguyen Thai Thanh	12A15	357	5
30	Le Si Thanh	12A15	209	5
thirty first	Nguyen Thi Phuong Thao	12A15	357	6
32	Tran Phuong Thao	12A15	485	7
33	Tran Thi Thu Thao	12A15	357	3
34	Du Hoang Minh Thu	12A15	485	8
35	Ly Anh Thu	12A15	357	7
36	Phan HuǶnh Thy	12A15	357	5
37	Vo Thu Trang	12A15	485	8
38	Tieu My Tran	12A15	209	5
39	Le Thanh Tri	12A15	209	5
40	Nguyen Thi Kim Vang	12A15	357	5
41	Tran Thi Kim Van	12A15	357	7
42	Ta Thuy Vy	12A15	357	5
43	Tran Le Ai Vy	12A15	209	4
44	Bui Thi Hoang Vy	12A15	485	5
45	Nguyen Thi Tuong Vy	12A15	357	5

APPENDIX 9

TEST 1 HOURS AFTER MATRIX EXPERIMENTAL TEACHING

I Topic matrix :

Content

Know	Understand	For example short	For example High	Add
Redundant	3				3
Mǜ	3	2			5
Logarithm	3	2	first		6
Pt mǜ and logarithm	2	2	2	first	7
Bpt mǜ and logarithm	first	2		first	4
Add	twelfth	8	3	2	25

II. Description :

1. (Know) Excess credit

2. (Know) T/c of logarithm

3. (Know) Set to determine redundant functions

4. (Know) Set to determine the function mǜ

5. (Know) Set of logarithmic functions

6. (Know) Calculate the co-variability and variability of students

7. (Know) Calculate the covariation and variability of logarithms

8. (Know) Calculate the derivative of the factorial function

9. (Know) Calculate the derivative of mǜ function or logarithmic function

10. (Understand) Calculate the derivative of mǜ or logarithmic functions

11. (Understand) The extremum of the mǜ or logarithmic function

12. (Understand) GTLN-NN of mǜ function or logarithmic function

13. (Understand) The problem uses the compound interest formula

14. (Know) The basic method a f  x   b , with

f  x 

level I

15. (Understand) Phuong mǜ

a f  x   a g  x  , with

f  x  , g  x 

level I, II

16. (Know) Pt basic logarithm log a f  x   b , f  x  order I

17. (Understand) Pt logarithm

log a

f  x   log a g  x  or transform to the basic form with

f  x  , g  x 

level I, II.

18. (Know) Basic Bpt a f  x   ,  ,  ,  b ;

f  x  level I

19. (Understand) Bpt mǜ

a f  x   ,  ,  ,  a g  x  ; f  x  , g  x 

level I, II

20. (Understand) Bpt logarithm

log a

f  x   ,  ,  ,  log a g  x  ;

or change in body shape

version with

f  x  , g  x 

level I, II.

21. (VDT) Simplify or calculate using t/c of logarithms

22. (VDT) Pt mǜ sets the secondary hidden

23. (VDT) Pt logarithm set sub-hidden

24. (VDC) Pt mǜ or pt logrit

25. (VDC) Bpt mǜ or bpt logrit

TEST TOPIC

Question 1: Number of integer solutions of the inequality:

2 log 5 x  log x 125  1

A. _ 10 B. 12 C. 3 D. 9

Question 2: Number of solutions of the equation

4 x  1  16 x 2  2

To be:

A. 1 B. 3 C . 2 D. 0

Question 3: Give

x , y are two positive real numbers and

m , n are two arbitrary real numbers. Equality

Which of the following is wrong?

A. x m . x n  x m  n

B.  x n  m  x n . m

C.  xy  n  x n . y n D . x m . y n   xy  m  n

Question 4: Derivative of a function

y  x 3

To be:

first

A. _ 2 x  3

B. 5 x  3

first

 1

C. x 3

first

D. x 3

Question 5: Give the equation:

log 2 (2  1).log (2  2)  2

xx  1

and t  log 2 (2  1) , t

is the solution of which of the following equations:

A. ( t  1)( t  2)  0

B . 5( t  1)( t  2)  0

C. t 2  9 t  8  0 D. 4  t 2  0

Question 6: Let a > 0 and a  1, x and y are two positive numbers. Find the correct statement in the following statements:

B . log a x  n log x

A. log a  x  y   log a x  log a y a

C. log 1  1

D. log

x  log a x

a x log x a y log y

Question 7: A person deposits 15 million VND in a bank with compound interest for a term of one quarter (3 months) with an interest rate of 1.65% per quarter. How many months will it take for that person to get at least 20 million? (Note: at the end of the quarter, if the person withdraws money, the interest rate will be calculated as above. If the person withdraws money before the end of the quarter, interest will not be calculated.

Developing computational capacity for students in teaching exponential functions, exponential functions and logarithmic functions in calculus 12 - 16

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