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Transcript
Sentence Check
Sentence Check
Capital Letter
Capital Letter
Do I have a capital letter
at the beginning?
Do I have a capital letter
at the beginning?
Subject
Subject
Do I have a subject?
Do I have a subject?
Verb
Verb
Do I have an action verb
or linking verb?
Do I have an action verb
or linking verb?
End Mark
End Mark
Do I have an end mark?
Do I have an end mark?
Check
Check
Does it make sense?
Does it make sense?
You have earned
5 minutes of
reward time.
GOAL REACHED!
8
7
6
5
4
3
2
1
You need
teacher
permission to
use the
computer.
You need
teacher
permission to
use the
computer.
Teachers only open these drawers
Teachers only open these drawers
Teachers only open these drawers
Teachers only open these drawers
The Write Stuff
I want to write on my own
I want to type on the Alpha Smart
I want to speak into a tape recorder to get
my ideas out.
I would like someone else to write for me. I
can use this option 3 times during this period, for 5
minutes each time.
1
2
3
The Write Stuff
1
I want to write on my own
1/2
2
I want to type on the Alpha Smart
1/2
I want to speak into a tape recorder to get
my ideas out.
1/2
I would like someone else to write for me. I
can use this option 4 times during this period, for 5
minutes each time.
1
2
3
4
PRE-WRITING STEPS FOR
PROMPTS
Read it
Underline Key Words
Pre-write
Re-Read
PIRATES TEST TAKING
CHECKLIST
Prepare- Name on paper
Inspect- Read the instructions
carefully and underline what to
do and where to respond
Read, remember, reduce Read the whole question
 write down what I
remember in the margins
 reduce the answers by
eliminating obviously wrong
answers
Answer or abandon Answer those questions of
which I am certain
 Abandon those I am not
sure of until later
Turn back- when I have answered
the questions I know, then I may
go back and answer the
questions I abandoned earlier.
Estimate- make an educated
guess if I cannot come up with an
answer.
Survey- read back over the test
and check my answers.
SHOW WORK ON PAPER
SHOW WORK ON PAPER
SHOW WORK ON PAPER
SHOW WORK ON PAPER
SHOW WORK ON PAPER
SHOW WORK ON PAPER
“WORK TIME” = “WORK ON MATH HOMEWORK”
“WORK TIME” = “WORK ON MATH HOMEWORK”
“WORK TIME” = “WORK ON MATH HOMEWORK”
“WORK TIME” = “WORK ON MATH HOMEWORK”
“WORK TIME” = “WORK ON MATH HOMEWORK”
“WORK TIME” = “WORK ON MATH HOMEWORK”
Odd Numbers
Even Numbers
End with:
1, 3, 5, 7, 9
End with:
0, 2, 4, 6, 8
Examples:
23
451
4,421
Examples:
34
450
3,258
Odd Numbers
Even Numbers
End with:
1, 3, 5, 7, 9
End with:
0, 2, 4, 6, 8
Examples:
23
451
4,421
Examples:
34
450
3,258
Odd Numbers
Even Numbers
End with:
1, 3, 5, 7, 9
End with:
0, 2, 4, 6, 8
Examples:
23
451
4,421
Examples:
34
450
3,258
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9 10
19 20
29 30
39 40
49 50
59 60
69 70
79 80
89 90
99 100
Prime: A whole number that is greater than 1 whose only
factors are 1 and itself.
Composite: is a whole number greater than 1 that has
factors other than 1 and itself.
*1 is neither prime nor composite
Finding the Greatest Common Factor (GCF)
The Greatest Common factor is the largest of the common factors that a number shares.
Finding the Factors Method
Example: Find the GCF of 50 and 120
Step 1: List all of the factors for both numbers
50:
120:
1, 2, 5, 10, 25,50
1, 2, 3, 4,5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Step 2: Circle the number that each one has in common (same).
50:
120:
1, 2, 5, 10, 25,50
1, 2, 3, 4,5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Step 3: Find the biggest number that both number shares. This is your GCF.
GCF: 10
Finding the Greatest Common Factor (GCF)
The Greatest Common factor is the largest of the common factors that a number shares.
The “Cake” Method (Ladder)
Step 2:
Step 1:
Example: Find the GCF of 50 and 120
Find a number that you can divide into all numbers in the cake
5
50
120
Do the division for each number and write the answer below the cake
layer.
5
50
10
120
24
5
2
50
10
5
120
24
12
A.) If there are more than one number
B.) If there are no numbers to the left of
to the left of the cake, multiply those
numbers to find the GCF.
the cake, you have your GCF
5
2
Step 4:
Step 3:
Find another number that can be divided into both. If you find one, repeat
step 2. If there is not another one, go to step 4.
5x2=10
GCF= 10
50
10
5
120
24
12
10
GCF =10
50
5
120
12
Multiplication Chart
1
2
3
4
5
6
7
8
9
10
11
12
1
1
2
3
4
5
6
7
8
9
10
11
12
2
2
4
6
8
10
12
14
16
18
20
22
24
3
3
6
9
12
15
18
21
24
27
30
33
36
4
4
8
12
16
20
24
28
32
36
40
44
48
5
5
10
15
20
25
30
35
40
45
50
55
60
6
6
12
18
24
30
36
42
48
54
60
66
72
7
7
14
21
28
35
42
49
56
63
70
77
84
8
8
16
24
32
40
48
56
64
72
80
88
96
9
9
18
27
36
45
54
63
72
81
90
99
108
10
10
20
30
40
50
60
70
80
90
100
110
120
11
11
22
33
44
55
66
77
88
99
110
121
132
12
12
24
36
48
60
72
84
96
108
120
132
144
Divisibility Rules for 2, 3, 5, 6, 9 and 10
A whole number is divisible by:
2 if the number is even
3 if the sum of its digits is divisible by 3
5 if it ends with 5 or 0
6 if it is even and divisible by 3
9 if the sum of its digits is divisible by 9
10 if it ends with 0
Divisibility Rules for 2, 3, 5, 6, 9 and 10
A whole number is divisible by:
2 if the number is even
3 if the sum of its digits is divisible by 3
5 if it ends with 5 or 0
6 if it is even and divisible by 3
9 if the sum of its digits is divisible by 9
10 if it ends with 0
Order of Operations
Step 1:
( )
x2
Parenthesis, Exponents
Step 2:
÷
X
Division, Multiplication
Step 3:
+
-
Addition, Subtraction
Rounding: changing a number to the nearest ten, hundred,
thousand or so on…
Round:
4 5 6 to the nearest tens.
Step 1 Underline the digit in the rounding place.
Example: 4 5 6
Step 2 Look at the digit to the right of the underlined
number.
456
Step 3
If the digit is
0, 1, 2, 3, 4
If the digit is
5, 6, 7, 8, 9
Keep the underlined
number the same
Add one to the
underlined number
456
466
Step 4 Change all of the digits to the right of the underlined
number to a zero.
466
460
3 Steps to Changing a Decimal to a Fraction
1. Read it
Eight tenths
2. Write it
8
10
3. Reduce it.
2
5
Adding and Subtracting Fractions
*To add or subtract fractions, You ALWAYS need a Common Denominator.
Numerator
Denominator
STEP 1:
Check to see if you have a common (same) denominator
If Yes
If No
COMMON DENOMINATOR
4 +
7
5
7
DIFFERENT DENOMINATORS
=
Step 2:
Add the numerators
4 + 5 = 4+5
7
7
7
Step 3:
Simplify the Numerator
9
7
1
4
+
2
3
=
Step 2:
Find the Least Common
Denominator for both fractions.
1
+
2
=
4
3
Least Common Denominator is 12
Step 3:
Rewrite the fractions using the
Least Common Denominator
1 X3
3
4 X3
12
Step 4: Rewrite the Improper fraction as a
mixed Number
2 X4
8
2
3 X4
12
7
Step 4: Add or subtract the fractions.
Simplify if possible.
3
+
8
=
11
12
12
12
1
1)
2)
3)
4)
Multiplying Fractions
Make everything a fraction
Reduce-vertically and diagonally
Multiply straight across
Make sure final answer is in simplest form
1)
2)
3)
4)
5)
Dividing Fractions
Make everything a fraction
Flip the second fraction
Reduce-vertically and diagonally
Multiply straight across
Make sure answer is in simplest form
Least Common Multiple (LCM)
The least common multiple of two or more numbers is the smallest of the common multiples.
Here are 2 methods to find the LCM
Example: Find the LCM of 8 and 10
Step 1: Start listing the multiples of each number.
8: 8, 16, 24, 32, 40, 48
10: 10, 20, 30, 40, 50, 60
Step 2: Then find the smallest of the common multiples.
8: 8, 16, 24, 32, 40, 48
10: 10, 20, 30, 40, 50, 60