แผนการจัดกิจกรรมการเรียนรู้ที่ 4 แผนการจัดกิจกรรมการเรียนรู้โดยเน้นการคิดแบบฮิวริสติกส์ หน่วยการเรียนรู้ที่ 1 สมการเชิงเส้นตัวแปรเดียว เรื่องย่อย การแก้สมการเชิงเส้นตัวแปรเดียว แผนบูรณาการภายในกลุ่มสาระการเรียนรู้คณิตศาสตร์ เรื่องการแก้สมการเชิงเส้นตัวแปรเดียว และสมบัติของจานวนเต็ม
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4
1
-
143
1.
2.
3.
4.
3 1 6 5
1 (1 ) 2 (2 )
3 (1 )
4 (2 )
5 (2 ) 6 (1 ) 7 (1 )
8 (1 )
9 (2 )
10 (2 )
( TGT)
( Jigsaw II)
3 .. 57 7 .. 57
10 .. 57
13 .. 57 14 .. 57 17 .. 57 21 .. 57 24 .. 57
28 .. 57
1 .. 57
2 .. 57 8 .. 57
9 .. 57
15
10 3 13
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144
4 ()
1 1 2 13 .. 57 14 ..57 --------------------------------------------------------------------------------------------------------------------- 1 1.2 1.4 4
4.2 1.2 .1/1 1.4 .1/1
4.2 1/2
(Equation)
=
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145
1. 2. 3. 4.
1.
2. 3.
/ 1.
2.
1. 2. 3. 4.
1. 1.1 - 1.2
1.3 1.4 1.5
2. 2.1 2.2 2.3 2.4 2.5
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146
- -
- - 0
- = +
- -
-
-
147
- a b a + b = b + a
- a b a b = b a - a , b c (a + b) + c = a + (b + c)
- a , b c (a b) c = a (b c) - a , b c a (b + c) = (a b) + (a c)
(Equation) =
1. 2 2
1. x = 3 3 = x 2. -3 + x = 1 1 = -3 + x 3. 2 p = -11 -11 = 2 p 4. s = t + 1 t + 1 = s 5. a + b = c c = a + b
b=a a=b a b
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148
2. 2
1. 2 = x x = y 2 = y y = 2 2. = 2 2 = 64 = 64 3. c=b+a 6=c 6=b+a 4. r=qp 1+s2=r 1+s2=qp 5. y=x z=y z=x
1. 2
1. x = -5 x - 3 = -5 - 3 2. 4=22 ( ) 3+4=3+22 3. 5y + 4 = 7 (5y + 4) + (-4) = -7 + (-4) 4. q=p p + (-r) = q + (-r)
b=a c=b c=a a , b c
b=a c+b=c+a a , b c
b=a a c = b - c a, b c
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149
2
1. 4
1x3 4
4
143x)(
2. 422 ( ) 34=322 3. yx y2x2
4. nm n4
1m
4
1
n4
1m
4
1
5. zy
x 0y yzx
k
1 k 0k
k
1 x 5 = 12 x 5 = 12 5 x 5 + 5 = 12 + 5 x = 17 x 17 x 5 = 12 17 5 = 12 17 x 5 = 12 17
b=a cb=ca a , b c
ba c
b
c
a b,a c 0c
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150
2 5
7
5
1y
5
7
5
1y
5
1
5
1
5
7
5
1
5
1y
5
6y
5
17y
y 5
6
5
7
5
1y
5
7
5
1
5
6
5
7
5
7
5
6
5
7
5
1y
5
6
-
151
3 7x3
1
7x3
1
3
73x3
13
21x
x 21 7x3
1
7213
1
77
21 7x3
1
21 4 12y4 12y4
41
4
12
4
y4
3y y 3 12y4 1234 1212
3 12y4 3
-
152
5 532
x
532
x
3
35332
x
82
x
2
822
x2
16x
x 16 532
x
532
16
538 55
16 532
x
16 6 287x3 287x3 7 72877x3 21x3 3
3
21
3
x3
7x
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153
x 7 287x3 28773 28721
2828 7 287x3
7
7 4
3
2
1x3
4
3
2
1x3
2
1
2
1
4
3
2
1
2
1x3
4
1x3
4
23x3
3
34
1
3
x3
12
1x
3
1
4
1x
x 12
1
4
3
2
1x3
4
3
2
1
12
13
4
3
2
1
4
1
-
154
4
3
4
21
4
3
4
3
12
1
4
3
2
1x3
12
1
7
... ...
8 7 4
3
2
1x3
4
3
2
1x3
... 2 4 4 ...
4
34
2
1x34
32x12
32
14)x3(4
2 2322x12 1x12 12
12
1
12
x12
12
1x
12
1
-
155
7 8
() 1. (Relate)
1.1
- () - () -
( )
- 2 2. (Investigate)
2.1 4 2
2.2 2
2.3 1 2 2.4 2
2.5 3 4 2.6
2.7 5 , 6 7
2.8 8 7
7
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156
2.9 4 1 3. (Evaluate and Communicate)
3.1
3.2 3.3
- 4. (Create)
4.1
4.2 4-6
1.
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- - 4
- 4
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157
1. 1.1 1.2
- 4 - 4
1.3 - - - -
1.4 - -
2. 2.1 2.2
- 4 - 4
2.3 - - - -
2.4 - -
3. 3.1
90-100 4 80-89 3 70-79 2 70 1
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158
3.2 80 4 70-79 3 60-69 2 60 1
3.3
3 2 1 0
3.4
3 2 1 0
13 - 15 09 - 12 01 - 80 0
- 4 2
- -
- www.pookpikschool.wordpress.com
www.pookpikschool.com
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159
-
- /
-
-
160
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161
70% 10%
60% 50%
50%
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................................................................ ............ ( )
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162
4
1. 4
2. 4
3. 4. 5. 6.
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163
4
1. 2 2
1. x = 3 3 = x 2. -3 + x = 1 1 = -3 + x 3. 2 p = -11 -11 = 2 p 4. s = t + 1 t + 1 = s 5. a + b = c c = a + b
2. 2
1. 2 = x x = y 2 = y y = 2 2. = 2 2 = 64 = 64 3. c=b+a 6=c 6=b+a 4. r=qp 1+s2=r 1+s2=qp 5. y=x z=y z=x
....................................
ba ab a b
ba cb ca a , b c
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164
1) x22
1 x2 ...............
2) qp 4q 4.............. 3) b1a2 ............b 4) t4s 7t 4s ................
5) y
8x 0y
y
8..............
6) 1ab2 ............... ab2 7) 11xy 11z xy ............... 8) q5p q ..............
9) n3m5
2 .................. m
5
2
10) yx2
1 12y
x2
1 ................
3. 2
1. x = -5 x - 3 = -5 - 3 2. 4=22 ( ) 3+4=3+22 3. 5y + 4 = 7 (5y + 4) + (-4) = -7 + (-4) 4. q=p p + (-r) = q + (-r)
ba cbca b,a c
ba cbca b,a c
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165
4. 2
1. 4
1x3 4
4
143x)(
2. 422 ( ) 34=322 3. yx y2x2
4. nm n4
1m
4
1
n
4
1m
4
1
5. zy
x 0y yzx
k
1 k 0k
k
1 125x 125x 5 51255x 17x x 17 125x 12517 17 125x 17
ba cbca b,a c
ba c
b
c
a a ,b c 0c
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166
2 5
7
5
1y
5
7
5
1y
5
1
5
1
5
7
5
1
5
1y
5
6y
5
17y
y 5
6
5
7
5
1y
5
7
5
1
5
6
5
7
5
7
5
6
5
7
5
1y
5
6
3 7x3
1
7x3
1
3
73x3
13
21x
x 21 7x3
1
-
167
7213
1
77
21 7x3
1
21 4 12y4 12y4
41
4
12
4
y4
3y y 3 12y4 1234 1212
3 12y4 3
5 532
x
532
x
3
35332
x
82
x
2
822
x2
16x
-
168
x 16 532
x
532
16
538 55
16 532
x
16 6 287x3 287x3 7 72877x3 21x3 3
3
21
3
x3
7x x 7 287x3 ( ) 28=7+73 28721
2828 7 287x3
7
7 4
3
2
1x3
4
3
2
1x3
2
1
2
1
4
3
2
1
2
1x3
-
169
4
1x3
4
23x3
3
34
1
3
x3
12
1x
3
1
4
1x
x 12
1
4
3
2
1x3
4
3
2
1
12
13
4
3
2
1
4
1
4
3
4
21
4
3
4
3
12
1
4
3
2
1x3
12
1
7 ... ...
-
170
8 7 4
3
2
1x3
4
3
2
1x3
... 2 4 4 ...
4
34
2
1x34
32x12
32
14)x3(4
2 2322x12 1x12 12
12
1
12
x12
12
1x
12
1
7 8
-
171
4
1.
(1) nm ............... n3m (2) 15a7 a ...............
(3) 45r 3
r ...............
(4) 63
7p
7p ................
(5) 25x .............. 30 (6) 195y15 .............. 39 (7) y2x 9x ................
(8) 3
qp p3 .................
(9) 6x
8.1 0x x6 ..................
(10) 52
yx
.................... 2)5(
2. (1) 43x 43x 3 ........................ x x .............. .............................. ........................
........................ ............ .................
..
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172
(2) 2y5 2y5
5 .......... ........................ y y .............. .............................. ........................
........................ ............ .................
..
(3) 112
r
112
r
......... .......... ........................ r r .............. .............................. ........................
........................ ............ .................
..
(4) 7
15p5
7
15p5
......... .......... ........................ p p .............. .............................. ........................
........................ ............ ..........
..
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173
(5) x312 x312 .......... .............. ........................ x x .............. .............................. ........................
........................ ............ .................
..
(6) 1z3
1
1z3
1
.......... .............. ........................ z z .............. .............................. ........................
........................ ............ .................
..
(7) 54
9
2
a
54
9
2
a
.......... .............. ........................ a a .............. .............................. ........................
........................ ............ .................
..
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174
4 13-14 . . .. 2557
-
4 4 4 12
1 4 4 3 11 2 4 3 4 11 3 3 3 4 10 4 4 4 3 11 5 3 4 3 10 6 4 3 3 10 7 4 3 3 10 8 4 4 3 11 9 4 3 4 11 10 3 4 3 10 11 3 3 4 10 12 3 3 3 9 13 2 3 3 8 14 3 3 3 9 15 3 2 2 8 16 3 3 3 9 17 4 4 4 12 18 4 3 3 10
-
175
-
4 4 4 12
19 3 2 4 9 20 2 3 3 8 21 3 3 3 9 22 3 3 3 9 23 3 4 3 10 24 4 3 3 10 25 4 3 3 10 26 3 4 3 10 27 4 4 3 11 28 4 2 3 9 29 3 4 2 9 30 3 3 2 8 31 4 3 3 10
70 8 () ............................................... ( )
-
176
(Rubrics) 1
4 3 2 1 1. 1.1
1. 2.
1. 2.
1. 2.
1. 2.
1.2
1. 2.
1. 2.
1. 2.
1. 2.
1.3
-
177
4 13-14 . . .. 2557
-
4
4
10 10 20
1 8 9 17 2 9 9 18 3 9 9 18 4 9 9 18 5 9 9 18 6 8 8 18 7 8 8 16 8 9 8 17 9 8 8 16 10 9 7 16 11 9 9 18 12 9 9 18 13 9 9 18 14 8 8 16 15 8 7 15 16 9 9 18 17 9 9 18 18 9 10 19
-
178
-
4
4
10 10 20
19 8 8 18 20 8 8 16 21 9 8 17 22 8 8 16 23 9 7 16 24 9 8 17 25 8 8 16 26 9 7 16 27 8 8 18 28 7 7 14 29 9 8 17 30 8 8 16 31 9 7 16
70 14 () ............................................... ( )
-
179
4 13-14 . . .. 2557
-
3 3 3 3 12
1 3 3 2 3 11 2 3 2 2 2 9 3 3 3 3 2 11 4 3 3 2 3 11 5 3 3 3 3 12 6 3 3 2 3 11 7 3 2 2 2 9 8 2 3 3 2 10 9 3 3 2 3 11 10 3 3 3 3 12 11 3 3 2 3 11 12 3 2 2 2 9 13 3 3 3 2 11 14 2 3 2 3 10 15 3 2 2 2 9 16 3 3 3 2 11 17 3 3 3 3 12 18 3 3 3 3 12
-
180
-
3 3 3 3 12
19 3 3 2 3 11 20 3 2 2 2 9 21 3 3 3 2 11 22 3 3 2 3 11 23 3 3 3 3 12 24 3 3 2 3 11 25 3 2 2 2 9 26 2 3 3 2 10 27 3 3 2 3 11 28 3 2 2 3 10 29 3 3 2 3 11 30 3 2 2 2 9 31 3 3 3 3 12
70 8 () ............................................... ( )
-
181
18
................... ..........................
............................................................................... ....1... ...............
3 2 1 0
1.
1.1 1.2 1.3
2.
2.1 2.2 2.3
3.
3.1 3.2 3.3
4.
4.1 4.2
..................................................... (.......................................................)
............. /................... /..............
-
182
- 3 - 2 - 1
- 0
- 2.5-3.0 3 - 1.5-2.4 2 - 0.5-1.4 1 - 0.0-0.4 0 -
-
183
4 13-14 . . .. 2557
-
15 15 30
1 12 12 24 2 14 13 27 3 13 13 26 4 13 12 25 5 13 13 26 6 13 13 26 7 14 12 25 8 12 12 24 9 13 13 26 10 11 12 23 11 12 12 24 12 11 11 22 13 13 12 25 14 11 13 24 15 13 13 26 16 12 11 23 17 14 13 27 18 12 14 26
-
184
-
15 15 30
19 14 12 26 20 13 12 25 21 12 12 24 22 13 13 26 23 13 13 26 24 12 15 27 25 13 13 26 26 11 12 23 27 15 12 27 28 11 10 21 29 13 13 26 30 12 13 25 31 13 13 26
70 21 () ............................................... ( )
-
185
............................................................................... ....1... ...............
:
(3)
(2)
(1)
(0)
1.
1.1 - 1.2
1.3 1.4
1.5
3 2 1 0
13 - 15 09 - 12 01 - 80 0
-
186
............................................................................... ....1... ............... :
(3)
(2)
(1)
(0)
2.
2.1
2.2
2.3 2.4 2.5
3 2 1 0
13 - 15 09 - 12 01 - 80 0
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