Mastering Math Facts - Schoolwires...Mastering Math Facts A structured program of sequential...
Transcript of Mastering Math Facts - Schoolwires...Mastering Math Facts A structured program of sequential...
Mastering Math Facts A structured program of sequential practice
Table of Contents
Teacher Directions Overview of Mastering Math Facts ................................................................................................ ii Preface: When to begin math facts memorization........................................................................... iv Part I: How to place students in the sequence ................................................................................. vi Part II: How to teach students the facts ........................................................................................... xi Part III: How to monitor student progress ................................................................................... xxiii Part IV: Sequence of introducing facts..........................................................................................xxv Sample parent letter..................................................................................................................... xxix Assessment How fast can you write?................................................................................................................xxx What are your goals? Goals sheet – Standard one-minute timing ............................................... xxxi Goal Sheet – Alternative length timing ...................................................................................... xxxii Achievement Awards Two minute timing progress monitoring award ........................................................................ xxxiii Moving ahead on the track award ............................................................................................. xxxiv Beating your previous best award ...............................................................................................xxxv Helper recognition award .......................................................................................................... xxxvi Addition Where should I begin in Addition? ................................................................................................A1 Addition Practice Sheets (A-Z) ......................................................................................................A5 Addition Student Rocket Chart ....................................................................................................A31 Addition Progress Monitoring 2-minute timings..........................................................................A32 Student’s “Graph of my Progress” ...............................................................................................A42 Subtraction Where should I begin in Subtraction? ............................................................................................ S1 Subtraction Practice Sheets (A-Z) .................................................................................................. S5 Subtraction Student Rocket Chart ................................................................................................ S31 Subtraction Progress Monitoring 2-minute timings ..................................................................... S32 Student’s “Graph of my Progress” ............................................................................................... S42 Multiplication Where should I begin in Multiplication?.......................................................................................M1 Multiplication Practice Sheets (A-Z).............................................................................................M5 Multiplication Student Rocket Chart...........................................................................................M28 Multiplication Progress Monitoring 2-minute timings ................................................................M29 Student’s “Graph of my Progress” ..............................................................................................M39 Division Where should I begin in Division?.................................................................................................D1 Division Practice Sheets (A-Z).......................................................................................................D5 Division Student Rocket Chart.....................................................................................................D29 Division Progress Monitoring 2-minute timings ..........................................................................D30 Student’s “Graph of my Progress” ...............................................................................................D40
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May be copied within Pioneer Union Elementary School under a site license. © Otter Creek Institute, 2003
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er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
Mas
terin
g M
ath
Fact
s —
SUBT
RA
CTI
ON
AN
SWER
KEY
S —
36
Subt
ract
ion
Two
Min
ute
Tim
ing
# 3
15
12
8
9 3
10
1113
9
9─
6
─ 3
─
6
─ 5
─
2
─ 6
─
8─
8─
3─
09
9 2
4 1
4 3
56
9
18
17
7
14
6 8
77
87
─ 9
─
8
─ 2
─
6
─ 5
─
4
─ 6
─ 1
─ 2
─ 5
9 9
5 8
1 4
16
62
8 10
9
5 5
13
109
1013
─ 7
─
3
─ 7
─
2
─ 1
─
6
─ 2
─ 6
─ 5
─ 9
1 7
2 3
4 7
83
54
10
7 15
6
4 12
16
1117
16─
4
─ 3
─
8
─ 2
─
3
─ 5
─
8─
3─
9─
96
4 7
4 1
7 8
88
7
14
11
10
9
12
9 11
107
11─
7
─ 5
─
8
─ 1
─
4
─ 2
─
4─
7─
4─
27
6 2
8 8
7 7
33
9
12
12
5
10
1 9
1211
1312
─ 6
─
9
─ 5
─
1
─ 1
─
8
─ 8
─ 9
─ 4
─ 7
6 3
0 9
0 1
42
95
6 16
5
6 11
15
5
1510
11─
4
─ 7
─
3
─ 3
─
6
─ 9
─
4─
7─
9─
72
9 2
3 5
6 1
81
4
14
9
13
14
14
8 8
134
8─
9
─ 4
─
7
─ 8
─
5
─ 5
─
1─
5─
2─
35
5 6
6 9
3 7
82
5
G
oal
Num
ber o
f pro
blem
s co
rrec
t
Subt
ract
ion
Two
Min
ute
Tim
ing
# 4
5
15
105
611
156
1611
─ 3
─ 7
─
9─
4─
3─
6─
9─
4─
7─
72
8 1
13
56
29
4
77
87
146
818
177
─ 2
─ 1
─
2─
6─
6─
5─
4 ─
9─
8─
55
6 6
18
14
99
2
99
1010
55
138
1013
─ 7
─ 6
─
5─
2─
2─
1─
6─
7─
3─
92
3 5
83
47
17
4
1511
17
166
412
107
16─
8─
3
─ 9
─ 8
─ 2
─ 3
─ 5
─ 4
─ 3
─ 9
78
88
41
76
47
8
13
911
93
1015
129
─ 6
─ 8
─
3─
8─
5─
2─
6─
6─
3─
02
5 6
34
14
99
9
1010
7
119
129
1411
11─
8─
7
─ 4
─ 4
─ 1
─ 4
─ 2
─ 7
─ 5
─ 2
23
37
88
77
69
5
11
1312
101
912
1212
─ 5
─ 9
─
4─
8─
1─
1─
8─
6─
9─
70
2 9
49
01
63
5
1313
4
814
148
149
8─
7─
5
─ 2
─ 1
─ 8
─ 5
─ 5
─ 9
─ 4
─ 3
68
27
69
35
55
G
oal
Num
ber o
f pro
blem
s co
rrec
t
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
Mas
terin
g M
ath
Fact
s —
SUBT
RA
CTI
ON
AN
SWER
KEY
S —
3
7
Subt
ract
ion
Two
Min
ute
Tim
ing
# 5
5
5 13
8
10
13
910
910
─ 2
─
1
─ 6
─
7
─ 3
─
9
─ 7
─ 2
─ 6
─ 5
3 4
7 1
7 4
28
35
9 3
10
15
12
9 8
1113
9
─ 5
─
2
─ 6
─
6
─ 3
─
0
─ 6
─ 8
─ 8
─ 3
4 1
4 9
9 9
23
56
14
6 8
18
17
7 7
77
8─
6
─ 5
─
4
─ 9
─
8
─ 5
─
2─
6─
1─
28
1 4
9 9
2 5
16
6
6
4 12
10
7
16
1516
1117
─ 2
─
3
─ 5
─
4
─ 3
─
9
─ 8
─ 8
─ 3
─ 9
4 1
7 6
4 7
78
88
10
1 9
12
12
12
512
1113
─ 1
─
1
─ 8
─
6
─ 9
─
7
─ 5
─ 8
─ 9
─ 4
9 0
1 6
3 5
04
29
6 11
15
6
16
11
55
1510
─ 3
─
6
─ 9
─
4
─ 7
─
7
─ 3
─ 4
─ 7
─ 9
3 5
6 2
9 4
21
81
9 12
9
14
11
11
1011
107
─ 1
─
4
─ 2
─
7
─ 5
─
2
─ 8
─ 4
─ 7
─ 4
8 8
7 7
6 9
27
33
14
14
8 14
9
8 13
813
4─
8
─ 5
─
5
─ 9
─
4
─ 3
─
7─
1─
5─
26
9 3
5 5
5 6
78
2
G
oal
Num
ber o
f pro
blem
s co
rrec
t
Subt
ract
ion
Two
Min
ute
Tim
ing
# 6
16
10
76
1511
174
1216
─ 8
─ 4
─
3─
2─
8─
3─
9─
3─
5─
98
6 4
47
88
17
7
1115
12
98
13
93
109
─ 8
─ 6
─
3─
5─
6─
8─
3─
2─
6─
03
9 9
42
56
14
9
1114
11
910
107
129
11─
4─
7
─ 5
─ 1
─ 8
─ 7
─ 4
─ 4
─ 2
─ 2
77
68
23
38
79
5
6 16
65
1510
1115
11─
4─
4
─ 7
─ 3
─ 3
─ 7
─ 9
─ 6
─ 9
─ 7
12
93
28
15
64
7
18
1714
77
86
87
─ 6
─ 9
─
8─
6─
2─
1─
2─
5─
4─
51
9 9
85
66
14
2
108
105
99
105
1313
─ 2
─ 7
─
3─
2─
7─
6─
5─
1─
6─
98
1 7
32
35
47
4
1212
12
105
1113
19
12─
8─
6
─ 9
─ 1
─ 5
─ 9
─ 4
─ 1
─ 8
─ 7
46
39
02
90
15
8
14
914
1313
414
88
─ 1
─ 9
─
4─
8─
7─
5─
2─
5─
5─
37
5 5
66
82
93
5
Goa
l
N
umbe
r of p
robl
ems
corr
ect
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
Mas
terin
g M
ath
Fact
s —
SUBT
RA
CTI
ON
AN
SWER
KEY
S —
38
Subt
ract
ion
Two
Min
ute
Tim
ing
# 7
4
14
8 14
14
9
813
813
─ 2
─
5
─ 5
─
9
─ 8
─
4
─ 3
─ 7
─ 1
─ 5
2 9
3 5
6 5
56
78
10
5 13
8
5 10
13
910
9─
5
─ 1
─
6
─ 7
─
2
─ 3
─
9─
7─
2─
65
4 7
1 3
7 4
28
3
9
3 10
15
9
12
98
1113
─
3
─ 2
─
6
─ 6
─
5
─ 3
─
0─
6─
8─
86
1 4
9 4
9 9
23
5
8
6 8
18
14
17
77
77
─ 2
─
5
─ 4
─
9
─ 6
─
8
─ 5
─ 2
─ 6
─ 1
6 1
4 9
8 9
25
16
7 12
9
14
9 11
11
1011
10─
4
─ 4
─
2
─ 7
─
1
─ 5
─
2─
8─
4─
73
8 7
7 8
6 9
27
3
17
4
12
10
6 7
1615
1611
─ 9
─
3
─ 5
─
4
─ 2
─
3
─ 9
─ 8
─ 8
─ 3
8 1
7 6
4 4
77
88
13
1 9
12
10
12
125
1211
─ 4
─
1
─ 8
─
6
─ 1
─
9
─ 7
─ 5
─ 8
─ 9
9 0
1 6
9 3
50
42
10
11
15
6 6
16
115
515
─ 9
─
6
─ 9
─
4
─ 3
─
7
─ 7
─ 3
─ 4
─ 7
1 5
6 2
3 9
42
18
Goa
l
N
umbe
r of p
robl
ems
corr
ect
Subt
ract
ion
Two
Min
ute
Tim
ing
# 8
6
5 15
105
616
1115
11─
3─
3
─ 7
─ 9
─ 4
─ 4
─ 7
─ 6
─ 9
─ 7
32
81
12
95
64
14
7 7
87
1817
68
7─
6─
2
─ 1
─ 2
─ 6
─ 9
─ 8
─ 5
─ 4
─ 5
85
66
19
91
42
6
15
1117
1610
74
1216
─ 2
─ 8
─
3─
9─
8─
4─
3─
3─
5─
94
7 8
88
64
17
7
98
13
911
1512
310
9─
5─
6
─ 8
─ 3
─ 8
─ 6
─ 3
─ 2
─ 6
─ 0
42
56
39
91
49
9
10
107
1114
1112
911
─ 1
─ 8
─
7─
4─
4─
7─
5─
4─
2─
28
2 3
37
76
87
9
59
910
108
105
1313
─ 2
─ 7
─
6─
5─
2─
7─
3─
1─
6─
93
2 3
58
17
47
4
105
1113
1212
121
912
─ 1
─ 5
─
9─
4─
8─
6─
9─
1─
8─
79
0 2
94
63
01
5
1413
13
48
149
148
8─
8─
7
─ 5
─ 2
─ 1
─ 9
─ 4
─ 5
─ 5
─ 3
66
82
75
59
35
G
oal
Num
ber o
f pro
blem
s co
rrec
t
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
Mas
terin
g M
ath
Fact
s —
SUBT
RA
CTI
ON
AN
SWER
KEY
S —
39
Subt
ract
ion
Two
Min
ute
Tim
ing
# 9
10
12
12
13
1
9 12
512
11─
1
─ 9
─
7
─ 4
─
1
─ 8
─
6─
5─
8─
99
3 5
9 0
1 6
04
2
6
16
11
10
11
15
65
515
─ 3
─
7
─ 7
─
9
─ 6
─
9
─ 4
─ 3
─ 4
─ 7
3 9
4 1
5 6
22
18
9 12
9
9 3
10
158
1113
─
5
─ 3
─
0
─ 3
─
2
─ 6
─
6─
6─
8─
84
9 9
6 1
4 9
23
5
14
17
7
8 6
8 18
77
7─
6
─ 8
─
5
─ 2
─
5
─ 4
─
9─
2─
6─
18
9 2
6 1
4 9
51
6
9
11
11
7 12
9
1410
1110
─ 1
─
5
─ 2
─
4
─ 4
─
2
─ 7
─ 8
─ 4
─ 7
8 6
9 3
8 7
72
73
6 7
16
17
4 12
10
1516
11─
2
─ 3
─
9
─ 9
─
3
─ 5
─
4─
8─
8─
34
4 7
8 1
7 6
78
8
14
9
8 4
14
8 14
138
13─
8
─ 4
─
3
─ 2
─
5
─ 5
─
9─
7─
1─
56
5 5
2 9
3 5
67
8
5
10
13
10
5 13
8
910
9─
2
─ 3
─
9
─ 5
─
1
─ 6
─
7─
7─
2─
63
7 4
5 4
7 1
28
3
G
oal
Num
ber o
f pro
blem
s co
rrec
t
Subt
ract
ion
Two
Min
ute
Tim
ing
# 10
9
3 10
98
13
911
1512
─ 5
─ 2
─
6─
0─
6─
8─
3─
8─
6─
34
1 4
92
56
39
9
912
9
1110
107
1114
11─
1─
4
─ 2
─ 2
─ 8
─ 7
─ 4
─ 4
─ 7
─ 5
88
79
23
37
76
6
11
1511
515
105
616
─ 3
─ 6
─
9─
7─
3─
7─
9─
4─
4─
73
5 6
42
81
12
9
146
87
77
87
1817
─ 6
─ 5
─
4─
5─
2─
1─
2─
6 ─
9─
88
1 4
25
66
19
9
64
1216
1511
1716
107
─ 2
─ 3
─
5─
9─
8─
3─
9─
8─
4─
34
1 7
77
88
86
4
55
1313
99
1010
810
─ 2
─ 1
─
6─
9─
7─
6─
5─
2─
7─
33
4 7
42
35
81
7
101
912
511
1312
1212
─ 1
─ 1
─
8─
7─
5─
9─
4─
8─
6─
99
0 1
50
29
46
3
1414
8
813
134
814
9─
8─
5
─ 5
─ 3
─ 7
─ 5
─ 2
─ 1
─ 9
─ 4
69
35
68
27
55
G
oal
Num
ber o
f pro
blem
s co
rrec
t
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
lice
nse.
© O
tter C
reek
Inst
itute
, 200
3
May
be
copi
ed w
ithin
Pio
neer
Uni
on E
lem
enta
ry S
choo
l und
er a
site
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Inst
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, 200
3
May
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ithin
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Uni
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lem
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ry S
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l und
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site
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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site
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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Inst
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, 200
3
May
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ithin
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Uni
on E
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ry S
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l und
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site
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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site
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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Inst
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, 200
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ithin
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Uni
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ry S
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l und
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Inst
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, 200
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ithin
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Uni
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Inst
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, 200
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ithin
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Uni
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Inst
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, 200
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ithin
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Inst
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, 200
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ithin
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Inst
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, 200
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Inst
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, 200
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Inst
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Inst
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Inst
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Inst
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, 200
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Inst
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, 200
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ithin
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Inst
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Inst
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Inst
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Inst
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Inst
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Inst
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Inst
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Inst
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, 200
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Inst
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, 200
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Inst
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, 200
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ithin
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Inst
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, 200
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