......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
38
39
40
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
38
39
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
3
38 3
2 21102 1
2 2564 1
1.
1.3
1.3 1/2
3. K)
3.1 P)
A)
3.2
5-6
3.3
4.
5
5.1
5.2
5.3
6.
6.2
1)
2)
3)
6.3
7.
7.1
8 Concept Based Teaching
1. Prior Knowledge)
2.
:
:
:
:
:
:
:
:
Knowing)
3.
4.
1
AB 100
:
: 50
:A B
: A B 60
:
:B A 2.5
:
:A 80 B 100
:
: AB 20 60
A
B 80
B
AB 60
AB
AB 60
A
Understanding) 151
5.
6. 300 300 4
7. 3
300 ÷ 3 = 100
: 1) 08:00 09:30 150
3
2)
3)
1 150 ÷ 1 = 100
4) 10:00 12:00 150
2 150 ÷ 2 = 75
08:00 100
5) 75
09:30 12:00
P 300
6) P
300
8 3.2 5
Doing) 3.2 5
9.
10.
11. 3.2 6
12.
. 60
2
(K) 2
2
3 2 1
(P) 80 60-79 59
3
80 60-79 59
A)
.
(K)
2
(P)
3
A)
10. 3.2 5-6
10.1
- 21
-
- .....................................................
10.2 ()
-
11.
ช๊ี
21102 4
38 กราฟ และ การ ไป (3)........................................................ 1
.....K....:........ก..เ...ย..น..ส..า.ม..า.ร..ถ...า..น..แ..ล.ะ..แ..ป.ล..ค..ว.า.ม..ห.ม..า.ย..ข..อ.ง.ก..ร.า..ฟ........ห..น..ด....แ..ล.ะ.ำ...ไ..อ.....แ.....ญ..ห..ไา.........อ.ย..ล..ะ......9.5..........................................
......P...:........ก...เ..ย..น.ส..า.ม..า.ร.ถ..เ..อ.ม..โ.ย..ง.ค..ว.า.ม....เ..ม.....อ..ไ.ป.....อ.ง...ค..ว.า.ม.ใ..ห...ไ.........9..5.................................. .................................................
......A...:........ก..เ..ย.น....ค..ว.า.ม...ง...น.ใ..น...ก.า.ร....ง.า..น......9.5................................................................... .................................................
.......-...................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
........-..................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
.......-...................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
.....................................................
()
..............................................................................................................................................................................
............................................................................................................................. .................................................
............................................................................................................................. .................................................
ม
้ึศำท่ัมุ่มีมีรัน้ด่ม์คู่สู่ยีม่ีทิดู้ร่ืชีรัน้ร้ดัป้ก้ีนัหำก่ีท่อีรัน้ีนำน
21102 5
38 กราฟ และ การ ไป (3.)....................................................... 1
......K...:........ก...เ..ย..น...ส.า..ม..า.ร.ถ....า.น..แ..ล..ะ..แ.ป..ล..ค.ว..า.ม..ห.ม..า.ย..ข.อ..ง.ก..ร.า..ฟ........ห.น..ด.....แ.ล..ะ.ำ..ไ..อ......แ.....ญ..ห.ไา.........อ..ย..ล.ะ.........9..4....5..9.................................
......P...:.........ก..เ..ย..น..ส.า..ม.า.ร..ถ.เ...อ.ม..โ.ย.ง..ค.ว.า.ม....เ..ม......อ.ไ..ป....อ..ง...ค.ว.า.ม..ใ.ห...ไ..........อ.ย...ล.ะ...9..4...5..9............................................................... .......
.......A..:........ก..เ..ย..น....ค.ว.า.ม....ง...นใ..น...ก.า..ร....ง.า.น........อ..ย..ล.ะ....9..7...3..0................................................. ...................................................
.......-...................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
.......-...................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
.......-...................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
.....................................................
()
..............................................................................................................................................................................
............................................................................................................................. .................................................
............................................................................................................................. .................................................
ม
้ึศ้รำท่ัมุ่มีมีรัน้ร้ด่ม์คู่สู่ยีม่ีทิดู้ร่ืชีรัน้ร้ดัป้ก้ีนัหำก่ีท่อีรัน้ีนำน
21102 6
38 กราฟ และ การ ไป (3)........................................................ 1
.....K....:........ก..เ...ย..น..ส..า.ม..า.ร..ถ...า..น..แ..ล.ะ..แ..ป.ล..ค..ว.า.ม..ห..ม.า..ย..ข.อ.ง..ก.ร..า.ฟ........ห..น..ด....แ..ล.ะ..ำ..ไ..อ.....แ.....ญ..ห..ไา.........อ..ย.ล..ะ........9.4....8..7...................................
......P...:........ก...เ..ย..น.ส..า.ม..า.ร.ถ..เ..อ.ม..โ.ย..ง.ค.ว..า.ม...เ...ม.....อ..ไ.ป.....อ.ง...ค..ว.า.ม.ใ..ห...ไ...........อ.ย..ล.ะ....9..4.<.8..7.............................................................. .......
......A...:........ก..เ..ย.น....ค..ว.า.ม...ง...น.ใ..น...ก.า.ร....ง.า..น.........อ.ย..ล.ะ....9..4...8..7................................................. ...................................................
......-....................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
......-....................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
......-....................................................................................................................... .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
.....................................................
()
..............................................................................................................................................................................
............................................................................................................................. .................................................
............................................................................................................................. .................................................
ม
้ึศ้รำท่ัมุ่มีมีรัน้ร้ด่ม์คู่สู่ยีม่ีทิดู้ร่ืชีรัน้ร้ดัป้ก้ีนัหำก่ีท่อีรัน้ีนำน
......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
38
39
40
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
38
39
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
3
39
2 21102 1
2 2564 1
1.
1.3
1.3 1/2
XY
3. K)
3.1
P)
3.2 A)
3.3
4.
5
5.1
5.2
5.3
6.
6.2
1)
2)
6.3
7.
7.1
8 Concept Based Teaching
1. Prior Knowledge)
2. 3. 2 6
3.
AB
: A B
: B
A
:
A
:
A
:
:
B
4.
Knowing)
5.
6.
XY
7. 10.00 16.00
2
80
8. 3.2 2 161
:
: 3.2 3 161
:
:
Understanding)
9.
10.
11.
:
:
: 3.2 1
: 3.2 1
:
:
Doing)
12.
13.
14.
XY
(K) (P) 60
2 2
2
3
A)
1 3 2 1
80 60-79 59
K)
2.
P)
3
A)
10. 3.2
10.1
- 21
-
10.2 .....................................................
- ()
11.
ศ้ั
21102 4
39 แนวโ มของกราฟ ........................................................ 1
....k...:.......ก..เ...ย.น..ส..า.ม..า..ร.ถ...า..น..แ..ล.ะ..แ..ป..ล..ค..ว.า..ม.ห..ม..า.ย..ข..อ.ง..ก.ร..า.ฟ.....ส.า.บ..า.น.ใ.....ไ..........อ..ย.ล..ะ.........8..5............. .................................................
....P...:.......ก..เ...ย..น.ส..า..ม.า..ใ.......เ.ห....ผ..ล..ป..ร.ะ.ก..อ..บ..ก.า.ร...า.น..แ..ล.ะ..แ.ป..ล..ค..ว.า.ม.ห..ม.า.ย..ข.อ..ง.ก..ร.า.ฟ.ไ.........อ..ย.ล..ะ.......8..5.............................................. ............
.....A..:........ก..เ..ย..น...ค..ว.า.ม...ง....ใ..น..ก..า.ร.....ง.า.น......อ..ย..ล.ะ.....8..5................................................... ........................................................
......1.........ก...เ..ย..น...บ..า.ง...ว..น..อ...บ..า.ย...แ..น..ว.โ....ม...ข.อ.ง..ก..ร.า.ฟ.ไ...ไ.......................................................... .................................................
..................................................................................................................................... .........................................
......................................................................................... .....................................................................................
.....1.....แ..น.ะ..แ..น.ว..ท..า.ใ.......ก..เ...ย.น...แ...ง...ใ...น...ก..า.ร...เ.ค..ร.า.ะ....ก.า.ร..เ.ป...ย..น..แ.ป..ล.ง..ข..อ.ง..ก.ร.า.ฟ...แ..ล.ะ....ค..ว..า.ม..เ...น.ไ.ป..ไ...ใ...น.... ว..ง....อ..ๆ.ไ..ป......................................
............................................................................................................................. .................................................
..............................................................................................................................................................................
.....1........ก..เ...ย..น..บ..า.ง...ว..น..อ...บ..า..ย..แ..น..ว.โ....ม..ข..อ.ง..ก.ร..า.ฟไ......เ...ม..ม..า..ก.ใ..น............................................ ....................................................
............................................................................................................................. .................................................
......................................................................................................................................................... .....................
.....................................................
()
............................................................................................................................. .................................................
............................................................................................................................. .................................................
..............................................................................................................................................................................
จะ
้ีช่ิพ้ด้นิธ่สีรัน่ต่ช็ปูด่ีล์หิว่ีน่บีรัน้ห้ด่ม้นิธ่สีรัน้รำทีมู่มีมีรัน้ร้ด่อุต้หีรัน้ร้ด้ห่ีท่อีรัน้น
21102 5
39 แนวโ มของกราฟ ........................................................ 1
....k...:.......ก..เ...ย.น..ส..า.ม..า..ร.ถ...า..น..แ..ล.ะ..แ..ป..ล..ค..ว.า..ม.ห..ม..า.ย..ข..อ.ง..ก.ร..า.ฟ.....ส.า.บ..า.น..ใ....ไ.... ......อ.ย..ล.ะ.........8..6...4..9...........................................................
....P...:.......ก..เ...ย..น.ส..า..ม.า..ใ.......เ.ห....ผ..ล..ป..ร..ะ.ก.อ..บ..ก..า.ร..า..น..แ.ล..ะ.แ..ป.ล...ค.ว.า.ม..ห.ม..า.ย.ข..อ.ง.ก..ร.า..ฟไ.........อ..ย..ล.ะ......8..6...4..9...... .................................................
.....A..:........ก..เ..ย..น...ค..ว.า.ม....ง...ใ..น...ก.า.ร.....ง.า.น......อ.ย...ล.ะ.....8..6...4..9...................................................... .................................................
......1.........ก..เ...ย..น..บ..า.ง...ว..น..อ...บ..า..ย..แ..น..ว..โ...ม...ข.อ..ง.ก..ร.า.ฟ.ไ...ไ............................................................................................................
............................................................................................................................. .................................................
............................................................................................................................. .................................................
....1.....แ..น..ะ.แ..น..ว..ท.า.ใ........ก..เ..ย..น..แ....ง..ก.ใ...น...ก.า.ร...เ.ค..ร.า.ะ....ก.า..ร.เ.ป....ย.น..แ.ป..ล..ง.ข..อ.ง..ก.ร.า..ฟ..แ..ล..ะ....ค.ว..า.ม...เ..น.ไ..ป.ไ...ใ...น.....ว..ง....อ..ๆ.ไ..ป...................... ................
.................................................................................................................. ............................................................
............................................................................................................................. .................................................
....1........ก...เ..ย..น..บ..า..ง...ว.น...อ...บ..า.ย..แ..น..ว..โ...ม...ข.อ.ง..ก..ร.า.ฟ.ไ......เ...ม..ม.า..ก..ใ.น................................................ .................................................
..............................................................................................................................................................................
............................................................................................................................. .................................................
.....................................................
()
................................................................................................................................................... ...........................
....................................................................................................... .......................................................................
............................................................................................................................. .................................................
จะ
้ีช่ิพ้ด้นิธ่สีรัน่ต่ช็ปูด่ีล์หิวัพ่บีรัน้ห้ด่ม้นิธ่สีรัน้รำทีมู่มีมีรัน้ร้ด่อุต้หีรัน้ร้ด้ห่ีท่อีรัน้น
21102 6
39 แนวโ มของกราฟ ........................................................ 1
....k...:.......ก..เ...ย.น..ส..า.ม..า.ร..ถ...า..น..แ.ล..ะ..แ..ป..ล..ค..ว.า..ม.ห..ม..า.ย..ข.อ..ง..ก.ร..า.ฟ.....ส.า.บ..า.น.ใ.....ไ..........อ..ย.ล..ะ.........8..4....6.2........ .................................................
....P...:.......ก..เ...ย..น.ส..า..ม.า..ใ.......เ.ห..ต.,.ผ..ล..ป..ร.ะ.ก..อ..บ..ก.า.ร...า.น..แ..ล.ะ..แ.ป..ล..ค..ว.า.ม.ห..ม.า.ย..ข.อ.ง..ก..ร.า.ฟ.ไ.........อ.ย..ล..ะ......8.4....6.2........................................................
.....A..:........ก..เ..ย..น...ค..ว.า.ม...ง...ใ...น..ก..า.ร.....ง.า.น.......อ.ย..ล..ะ.....8..4...6..2..................................................... .................................................
.......1.........ก..เ...ย..น..บ..า.ง...ว..น..อ...บ..า.ย...แ..น..ว..โ...ม...ข.อ..ง.ก..ร.า.ฟ.ไ...ไ.......................................................... .................................................
................................................................................................................................................. .............................
..................................................................................................... .........................................................................
.....1.....แ..น..ะ.แ..น..ว..ท.า.ใ........ก..เ..ย..น..แ....ง..ก.ใ...น...ก.า.ร...เ.ค..ร.า..ะ...ก.า..ร.เ.ป....ย.น..แ.ป..ล..ง.ข..อ.ง..ก.ร.า..ฟ..แ..ล..ะ....ค.ว..า.ม...เ..น.ไ..ป.ไ...ใ...น.... .ว.ง....อ..ๆ.ไ..ป......................................
............................................................................................................................. .................................................
..............................................................................................................................................................................
.....1........ก..เ...ย..น..บ..า..ง...ว.น...อ...บ.า..ย..แ..น..ว.โ....ม..ข..อ.ง..ก..ร.า.ฟ.ไ......เ..ม...ม.า..ก..ใ.น............................................... .................................................
............................................................................................................................. .................................................
..................................................................................................................................................................... .........
.....................................................
()
............................................................................................................................. .................................................
............................................................................................................................. .................................................
..............................................................................................................................................................................
จะ
้ีช่ิพ้ด้นิธ่สีรัน่ต่ช็ปูด่ีล์หิวัพ่บีรัน้ห้ด่ม้นิธ่สีรัน้รำทีมู่มีมีรัน้ร้ด่อ้หีรัน้ร้ด้ห่ีท่อีรัน้น
......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
38
39
40
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
......... ....................................................................................................................
:
- (K) (P)
(A)
321 / 321 / 321 / /
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
- (K) (P)
(A)
(K)
321 / 321 / 321 / /
25
26 3)
27 2)
28 1)
29
30
31
32
33
34
35
36
37
38
39
3
2
1
7-9
46
13
......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............
.....................................................
()
3
40
2 21102 1
2 2564 1
1.
1.3
1.3 1/2
X Y XY
3. K) y= x=
3.1 P)
A)
3.2
3.3
4.
5
5.1
5.2
5.3
6.
6.2
1)
2)
6.3
7.
7.1
8 Concept Based Teaching
1. Prior Knowledge)
2. 1 F)
: 2
2
:
2
C) F = 1.8C+32
: