2008年9月9日 星期二

數點法 Math Dot (學習用具)

(以下的數點法使用方法是用英文說明, 如需翻譯, 可以到以下網站線上翻譯:)

http://www.worldlingo.com/zh_tw/products_services/computer_translation.html

First 100 Days

For the first week, flash numbers 1-10 three times daily. Afterwards, every day
take one card away and add another, until you reach 100. About halfway, you can
begin playing games occasionally. Keep it fun and exciting! It helps if you prepare
and plan your cards ahead of time, so you are a few weeks ahead. If you have
homemade math dot cards, you can place random math problems on the back
(numeral side) of each card, using the math problems below, as well as your own.
Place on the top of each card the addition and subtraction problems; to the right
side, two multiplication and two division problems; on the bottom, one three-step
equation and one four-step equation; to the left side, one five-step equation and
one six-step equation. These should only be the math problems in which the sum
is the same as the total number of dots on the card. For example, the sum “37+1”
would go on card number 38.
After the first 100 days, begin the following (flash each set three times daily):

Week One
Need cards 2-10
FLASH
1+1=2 1+6=7
1+2=3 1+7=8
1+3=4 1+8=9
1+4=5 1+9=10
1+5=6

Need cards 4-10
FLASH
2+2=4 2+6=8
2+3=5 2+7=9
2+4=6 2+8=10
2+5=7

Need cards 5-10
FLASH
3+2=5 3+6=9
3+3=6 3+7=10
3+4=7
3+5=8

Week One (continued)
Need cards 6-10
FLASH
4+2=6 4+6=10
4+3=7 4+4=8
4+5=9

Need cards 7-10
FLASH
5+2=7 5+5=10
5+3=8
5+4=9
Break
(Can prepare for next
week.)


Week Two
Need a total of 180 problems
Random addition: Show 30 new addition problems a day (10 each session).
These addition problems can be anywhere between 1-100 (the problems you have
previously written on your cards).

Week Three
Need cards 1-9
FLASH
10-1=9
10-2=8
10-3=7
10-4=6
10-9=1
10-5=5
10-6=4
10-7=3
10-8=2

Need cards 10-19
FLASH
20-1=19
20-2=18
20-3=17
20-4=16
20-5=15
20-6=14
20-7=13
20-8=12
20-9=11
20-10=10

Need cards 1-9
FLASH
20-11=9
20-12=8
20-13=7
20-14=6
20-15=5
20-16=4
20-17=3
20-18=2
20-19=1

Need cards 20-29
FLASH
30-1=29
30-2=28
30-3=27
30-4=26
30-5=25
30-6=24
30-7=23
30-8=22
30-9=21
30-10=20

Need cards 10-19
FLASH
30-11=19
30-12=18
30-13=17
30-14=16
30-15=15
30-16=14
30-17=13
30-18=12
30-19=11
30-20=10

Need cards 1-9
FLASH
30-21=9
30-22=8
30-23=7
30-24=6
30-25=5
30-26=4
30-27=3
30-28=2
30-29=1

Week Four
Need a total of 180 problems
Random subtraction: Show 30 new subtraction problems a day (10 each
session), that you have previously written on your cards.

Week Five
First three days…
30 more addition problems a day
(need a total of 90). Can play games.

Last three days…
30 subtraction problems a day (90 total).
Occasionally play games.

Week Six
Need all even numbers
up to 24
2 times tables
2x2 - 2x12

Need cards
6,9,12,15,18,21,24,
27,30,33,36
3 times tables
3x2 - 3x12

Need cards
8,12,16,20,24,28,32,
36,40,44,48
4 times tables
4x2 - 4x12

Need cards
10,15,20,25,30,35,
40,45,50,55,60
5 times tables
5x2 - 5x12

Need cards
12,18,24,30,36,42,
48,54,60,66,72
6 times tables
6x2 - 6x12

Need cards
14,21,28,35,42,49,
56,63,70,77,84
7 times tables
7x2 - 7x12


Week Seven
Need cards
16,24,32,40,48,
56,64,72,80,88,96
8 times tables
8x2 - 8x12

Need cards
18,27,36,45,54,63,
72,81,90,99
9 times tables
9x2 - 9x11

Need cards
20,30,40,50,60,70,
80,90,100
10 times tables
10x2 - 10x10

Random
multiplication (e.g.):
3x18=54 3x13=39
6x16=96 8x5=40
5x15=75 25x2=50

Addition review:
(Can use some of the
problems you have
already done.)
3 times daily
flash addition problems

Subtraction
review: (Can use
previous problems.)
3 times daily
flash subtraction
problems

Week Eight
Note: To be able to flash these quickly, write the division tables
in pencil on the back of the cards before flashing. (This is not to
be confused with the random division problems used later.)

Division by 2
Need cards 1-30
1st session
Example:
4÷2=2 14÷2=7
6÷2=3 16÷2=8
8÷2=4 18÷2=9
10÷2=5 20÷2=10
12÷2=6 22÷2=11
2nd session
Need cards 11-20
24÷2 - 40÷2
3rd session
Need cards 21-30
42÷2 - 60÷2

Division by 3
Need cards 1-30
1st session
Need cards 1-10
3÷3 - 30÷3
2nd session
Need cards 11-20
33÷3 - 60÷3
3rd session
Need cards 21-30
63÷3 - 90÷3

Division by 4
Need cards 1-25
1st session
Need cards 1-10
4÷4 - 40÷4
2nd session
Need cards 11-20
44÷4 - 80÷4
3rd session
Need cards 21-25
84÷4 - 100÷4

Division by 5
Need cards 1-20
1st session
Need cards 1-10
5÷5 - 50÷5
2nd session
Need cards 11-20
55÷5 - 100÷5
3rd session
Review

Division by 6,7,8
Need cards 1-10
1st session
6÷6 - 60÷6
2nd session
7÷7 - 70÷7
3rd session
8÷8 - 80÷8

Division by 9,10
Need cards 1-10
1st session
9÷9 - 90÷9
2nd session
10÷10 - 100÷10
3rd session
Review

school days
Week Nine
First three days of the week…
Random division: Using problems previously prepared on the cards, for example:
250÷5=50 60÷20=3 160÷2=80 90÷15=6
Flash 10 new problems each session (you can play games occasionally).

Random multiplication

Last two days: Multiplication problems and games

Week Ten
Begin flashing threestep
equations (need a
total of 60),
10 new ones each
day (show three times
daily).
The following are
some sample problems
you can use:

72-62+6=16
2x1x9=18
51-18-22=11
93-35+27=85
2x19x2=76
138÷1÷2=69
159÷3÷1=53
2x11x2=44
1+67÷2=34
2x2x2=8

285÷1÷3=95
100÷2÷2=25
80÷2+2=42
15+34+7=56
78-2-4=72
115-19-18=78
6x13+9=87
83-80-2=1
36÷2÷2=9
99-2-3=94

76÷2÷2=19
2x2x23=92
105÷1÷3=35
91-14-26=51
31+12+18=61
18+35+21=74
36+24+19=79
2+2+8=12
4x8-29=3
1x3x2=6

100÷20+5=10
57-8-29=20
372÷2÷2=93
12+84-70=26
21+7+11=39
85-40-2=43
110÷2÷1=55
186÷1÷3=62
82-11-8=63
225÷1÷3=75

285÷1÷3=95
83-18-36=29
2x11x2=44
32÷4÷2=4
2x13x2=52
90÷2÷1=45
219÷3÷1=73
352÷2÷2=88
51-8-22=21
2x4x2=16

Week Eleven
Four-step equations

57÷1÷3÷1=19
248÷2÷1÷2=62
165÷1÷3÷1=55
100÷4+8-7=26
2x1x3x1=6
1x8x1x2=16
2x3x2x6=72
71-8-3-22=38
264÷1÷3÷1=88

4x1x7x1=28
5+1+3+3=12
19+31+14+15=79
6+4+11+1=22
53+7+24+13=97
62x5÷10+67=98
37+8+41+13=99
3+14+5+19=41
2+41+1+6=50

41+18+71÷2=65
276÷2÷2÷1=69
1x2x2x19=76
516÷2÷2÷3=43
4+1+3+5=13
0+1+1+0=2
93-57-7-18=11
438÷2÷1÷3=73
2x11-16+15=21

151-38-12-12=89
41-4-9-8=20
18x7-59-57=10
90÷9+15-22=3
6+13+8+29=56
88-2-16-19=51
140÷2÷1÷2=35
1x23x2x2=92
100-13-27-37=23
2x4x3x4=96

623-289÷2-67=100
108÷2÷1÷2=27
124÷2÷1÷2=31
2x3x3x2=36
82-28-8-9=37
6x36-152-24=40
32+7+21+16=76
147-28-15-21=83
4+1+3+5=13
2+1+1+1=5

92-12-3-70=7
558÷3÷1÷2=93
2x2x3x2=24
11+26+19+34=90
2x2x2x4=32
6+15+8+4=33
288÷3÷1÷2=48
7x2x2x2=56
16x4-31+27=60
7x2x2x3=84

Week Twelve
Five-step equations. Flash five on each day for six days.
166÷2+7÷2÷1=45
216÷2÷1÷2÷2=27
41x5-86+1-20=100
3x2x4x2x2=96
64-2-31-6-2=23

175÷1÷5÷1÷1=35
97-20-6-5-6=60
7+9+30+3+1=50
26+8+37+5+21=97
2x3x4÷2÷1=12

17+21+8+22+6=74
15-3x12-51+1=94
77-26-12-13-6=20
136-15-2-19-11=89
92x3-156÷6+1=21

584÷2÷1÷4÷1=73
237-21÷3+52-59=65
12+12+5+4+8=41
3+1+7+5+6=22
12x12÷4+15-9=42

31-18x2-6+57=77
880÷2÷1÷5÷1=88
22-2-5-1-3=11
688÷2÷2÷1÷2=86
19x2x1x2x1=76

552÷2÷2÷2÷1=69
96-48÷4x4+1=49
21+22+23+24+9=99
42÷6x9÷3+20=41
60-1-14-4-3=38

Week Thirteen
Six-step equations. Flash three on each day for six days

83-14x3-107÷4+1=26
151-76÷25x15+23-19=49
53x4-12÷5-3+28=65

1025÷5-201+58÷2+29=60
13+13-6x12÷12÷24+11=55
27+81÷2-41+7÷2=10

486÷6-1x3+60÷3=100
47+128+25-3x18+15=87
56+57x2-26÷100+38=40

67-14x3-107÷4x2=26
48x12-132÷4-96+53=68
57+36-3÷3x2+17=77

143+57÷2+124÷2-13=99
32x17÷2-153+51÷2=85
8÷2x16-20÷4+4=15

1+1+2+3+1+1=9
156x2-100÷2÷2-36=17
27+81÷2-41+7÷2=10

Numeral Numbers

For the next 10 days, each day show 10 numerals three times until you complete
up to 100.

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