แผนการจัดการเรียนรู้ บทที่3

Knowing) 7
3. xy

4. x+y=7 x y
5. x+y=7 xy
1
6.
7. : x+y=7 xy
x+y=7
162 xy
8.
: x+y=7 xy

x y 6, x 5 y 2
x+y=7 x y
xy

162 x y

1) x + y = 4 xy
2) x + y = 6
3) x y = 2

1)-3)

Understanding)
9.

10

:

:1 y
9

:2
8

:3
7

:4
6

:5
5

:6
4

:7
3

:8
2

:9
1

:x

x+y= xy
: xy

:

: xy x
y

:

:

10.

xy

11.

(X, Y) (1, 9), (2, 8), (3, 7), (4, 6), (5, 5), (6, 4), (7, 3), (8, 2), (9, 1)

12. x + y =

x + y = x, y

13.

: x+y= , x+y=

y :, x+y= x
( , ,( , x+y= , ,( ,
: xy x+y= ,
:
,, ,
: xy x+y=
:
: xy xy
:
: xy
:
:

:

Doing)
14.
15.

16.

x y

xy

. 60
2
(K) 2
2

(P)
3

A)

. 3 2 1
80 60-79 59
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2 x xy x
y 60-79 y
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80 59
3
A)

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y

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21102 4
40 ความ ม น เ งเ น ........................................................ 1

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⑧

๊ํษ้รำท่ัมุ่มีมีรัน้ร้ด่ม์คู่สู่ยีม่ีทิดู้ร่ืชีรัน้ร้ด้หำก่ีทำค็ป่ีทัดัอู่คีขีรัน้สิช์ธัพัส

21102 5
40 ความ ม น เ งเ น ........................................................ 1

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⑧

้ึษ้รำท่ัมุ่มีมีรัน้ร้ด่ม์คู่สู่ยีม่ีทิดู้ร่ืชีรัน้ร้ด้หำก่ีทำค็ป่ีทัดัอู่คีขีรัน้สิช์ธัพัส

21102 6
40 ความ ม น เ งเ น ........................................................ 1

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⑧

๊ึษ้รำท่ัมุ่มีมีรัน้ร้ด่ม์คู่สู่ยีม่ีทิดู้ร่ืชีรัน้ร้ด้หำก่ีทำค็ป่ีทัดัอู่คีขีรัน้สิช์ธัพัส

......... ....................................................................................................................
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- (K) (P)
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- (K) (P)
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- (K) (P)
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2 21102 1

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1.
1.3

1.3 1/2

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)

O Y
X

4 12 3

4 Y
Y
:

:1 XY

2X

3 XY

4X

2.

Knowing)
3.

4

x : 2x + y = 4 -2 y 2x + y = 4 1 2
y x 8 -1 0 2 0

: x 6 4

: y
4.
: (2, 8), (1, 6), (0, 4), (1, 2), (2, 0)

5. Ax + By + c = 0 x, y
A, B C
+y 4=0 AB 2x + y = 4 2x

6. A = 2, B = 1 C = -4

A=0 Ax + By + c = 0
B=0
Ax + By + c = 0

1) x y

2) xy

3)

4)

By + C = 0

Ax + C = 0

xy xy

7.

Understanding)

8. A, B, C
A, B, C
Ax + By + C = 0 45

: x+ y A, B, C

:A= ,B= ,C=

:y= x 1

: x y 1 = 0 A = , B = 1, C = 1

: 2x 3y = 6 A, B, C

: 2x 3y 6 = 0 A = 2, B = 3, C = 6

: 2x = 6y + 8 A, B, C

: 2x 6y 8 = 0 A = 2, B = 6, C = 8

9. Ax + By + C = 0 xy
xy A, B C

x Ax + By + C = 0 B 0
y y = mx + b m b
x
3x y = 5 y
xy

y = 3x 5 Ax + By + C = 0
10.
11.

y = mx + b 3

Doing)
12.

13. 1

14. 2

15. x, y A, B C AB
Ax + By + C =

.

(K) 60
2 2
2
(P)
21
3 60-79 59
A)

. 3
80
(K)
2

(P)

3
A)

10. 21
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10.2
-

11.

ช้ึ



.................................................................................................. ....................... .................

:
1. x y 1 = 0 x, y

x , L x, y
y y=x
x
a, b) , L
y=x y y=x
a, b) L
y=x xayb
L
2. xayb
xy
x y 1=0

x -2 -1 0 1 2
y

............................................................................................................................. ....

............................................................................................................................. .................................
3. x y 1 = 0 x, y

:
1. x y 1 = 0 x, y

x , L x, y
y y=x
x
a, b) , L
y=x y y=x
a, b) L
y=x xayb
L
2. xayb
xy
x y 1=0

x -2 -1 0 1 2
y -3 -2 -1 0 1

.......(.-..2..,..-..3..).,...(.-.1..,...-.2..).,...(.0..,..-..1..).,..(..1..,..0..)..,..(.2..,...1..).............................................................

.........................................................x............y................... ......................................................................
3. x y 1 = 0 x, y

21102 4
41 กราฟของสมการ เ งเ นสอ.ง...ว..แ..ป.ร............................................... 1

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จะ

๊ืช้ึขีด้ดัต้สิช์ธัพัสัดัยู่คีรัน้ัช่ิพัต้สิช์ธัพัสีติธ่ยัต้ดัต้สิช์ธัพัสัดัยู่ค่ม่สีรัน้รำท่ัมุ่มีมีรัน้ร้ดัต้สิชีข้ัขิธีรัน้ร้ดัต้สิช์ธัพัสัดัผู่คีรันัต้สิช

21102 5
41 กราฟของสมการ เ งเ นสอ..ง...ว..แ.ป..ร.............................................. 1

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จะ

๊ืช้ัชีด้ดัต้สิช์ธัพัสัดัยู่คีรัน้ัช่ิพัต้สิช์ธัพัสีติธ่ยัต้ดัต้สิช์ธัพัสัดัยู่ค่ม่สีรัน้รำท่ัมุ่มีมีรัน้ร้ดัต้สิชีข้ัขิธีรัน้ร้ดัต้สิช์ธัพัสัดัยู่คีรันัต้สิช

21102 6
41 กราฟของสมการ เ งเ นสอ.ง....ว.แ..ป..ร.............................................. 1

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จะ

๊ืช้ัชีด้ดัต้สิช์ธัพัสัดัยู่คีรัน้ัช่ิพัต้สิช์ธัพัสีติธ่ยัต้ดัต้สิช์ธัพัสัดัยู่ค่ม่สีรัน้รำท่ัมุ่มีมีรัน้ร้ดัต้สิชีข้ัขิธีรันิว้ร้ดัต้สิช์ธัพัสัดัยู่คีรันัต้สิช

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38
39

3
2
1

7-9
46
13

......... ............................................................. ................................
3 ( .............. ................................
2 ( .............. ................................
1 ( ..............

.....................................................
()

3

42 (1)

2 21102 1

2 2564 1

1.
1.3

1.3 1/2

Ax + By + C = y = ax + b

xy xy

3. K)
3.1 P)
A)
3.2
(1)
3.3

4.

5
5.1
5.2
5.3

6.
6.2

1)
2)
6.3
7.
7.1

8 Concept Based Teaching y
1.
Prior Knowledge)
2.
:
: Ax + By + c = 0

: Ax + By + c = 0

: y = mx + b
: 5x + y + 3 = 0 A, B C

: A =5, B = 1, C = 3
: 5x + y + 3 = 0

: y = -5x - 3

1 : x2 y = 3
2 : xy = 12

( 1: 12 2
3. 2: Ax + By + C = 0
Ax + By + C = 0 45 x Ax + By + C = 0
xy
4. :

( :
XY
(
Knowing)

5.

6.

3

1 : Ax + By + C = 0 y = ax + b

2: xy xy 3

3: 2
7.

1 y = 2x + 3 1
x y y = 2x + 3 5
-1 0
x
13
y = 2x + 3

(-1, 1), (0, 3) (1, 5)

Understanding) x
8. (x, y) 1) 2)

1) y = -2x + 3
2) y = 3
9. 2

y = -2x + 3

y=3

10.

11. 3

12. y = mx + b
m
(m = 2)
1) y = 2x + 3 (m = -2)
2) y = -2x + 3 (m = 0)
3) y = 3

m>0 X X

m<0 X X

m=o y = mx + b x X mb
m y (1)
13.
Doing) 2-3 slope)

14.
15.

(1)
16.

17.
:

: 1: Ax + By + C = 0 y = ax + b
2:
3: xy x y 3

2

. (K) 60
2
2 2

(P)
3

A)

3 21

.
80 60-79 59

(K)
2

yy
(P) y

3
A)

10. (1)
10.1 21
-
- .....................................................
10.2 ()
-

11.

ส้ึ



(1)

:
1. x y 2 = 0 x, y

x y 2=0

y = ............................................................................

xy .................................................................

x
y

................................................................................................................ .................

.................................................................................................. ....................... .................