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First Day WORKSHOP
ALA: Pre-AlgebraUnit 1 Whole Numbers
You be the judge!
TRUE or FALSE?
5 > 3 TRUE
4 < 4FALSE
Population of Missouri > Population
of Illinois
12,830,6325,988,927
FALSE
Number ofchickens in the world <
Number of people in the world
Number ofchickens in the world <
Number of people in the world
19,000,000,000 7,035,000,000
FALSE
IMPORTANT WORDS
SUM: the answer you get when you add
4 + 7 = 11
FACTORS: numbers that get multiplied
4 x 7 = 28
PRODUCT:the answer you get when
you multiply
4 x 7 = 28
DIFFERENCE:the answer you get when you
subtract
7 - 4 = 3
QUOTIENT:the answer you get when you
divide
8 ÷ 4 = 2
EXPONENTS
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5
58
52
25
23
8
15
1
42
16
Heart Attack Parentheses
Head Injury Exponents
Labor Multiply/Divide
Cut Finger Add/Subtract
A Story to Introduce
Order of Operations-- Cut finger-- Head injury-- Heart attack-- Labor
PLEASE EXCUSE
MY DEAR AUNT SALLY
10 + 3 x 2
16
10 – 3 + 2
9
(7 – 4)2
9
3(7 – 2)2
75
1 + 3(7 – 2)2
76
OUR HERO ZERO
HERO
0
8674 + 0
8674ZERO IS THE ADDITIVE IDENTITY. ADDING ZERO TO A NUMBER DOES NOT CHANGE THE NUMBER.
8674 - 0
8674
8674 X 0
0WHEN YOU MULTIPLY BY 0, YOU ALWAYS GET 0.
8674 ÷ 0
UNDEFINED
DON’T DO IT!
FACTORS AND MULTIPLES
FACTORS OF 10:
MULTIPLES OF 10:
2 X 5 1 X 10
10, 20, 30, 40, 50, ...
FACTORS AND MULTIPLES
FACTORS OF 2:
MULTIPLES OF 2:
2, 4, 6, 8, 10, 12,...
1 X 2
Multiples of 2are called EVEN numbers!
2 is a PRIME number. Its only factors are 1 and itself.
FACTORS AND MULTIPLES
FACTORS OF 6:
MULTIPLES OF 6:
2 X 3 1 X 6
6, 12, 18, 24, 30, ...
6 is a COMPOSITE number. It has more factors than just 1 and itself.
FACTORS AND MULTIPLES
FACTORS OF 20:
MULTIPLES OF 20:
2 X 10 5 X 4
20, 40, 60, 80, 100, ...
1 X 20
Which numbers are PRIME?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are PRIME?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are COMPOSITE?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are COMPOSITE?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are neither PRIME nor COMPOSITE?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are neither PRIME nor COMPOSITE?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are EVEN?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are EVEN?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are MULTIPLES of 3?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are MULTIPLES of 3?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are DIVISIBLE by 5?
21
5
912
3
21
11
13
6
78
15
17
10
Which numbers are DIVISIBLE by 5?
21
5
912
3
21
11
13
6
78
15
17
10
FACTOR TREES:
breaking a number
down to its PRIME factors
Make a Factor Tree to break the number 100 into its prime factors
MEAN, MEDIAN,
and MODE
How many children do you have?
MEANIt’s MEAN to
make you find the MEAN!
You have to add, then divide!
MEDIANThe median strip is the middle of the
road. Write the numbers in order and pick the middle one!
MODEThe MOST POPULAR
number!
MILITARY TIME
midnight
1:00 AM
2:00 AM
3:00 AM
4:00 AM
5:00 AM
6:00 AM
7:00 AM
8:00 AM
9:00 AM
10:00 AM
11:00 AM
12:00 NOON
1:00 PM
2:00 PM
3:00 PM
4:00 PM
5:00 PM
6:00 PM
7:00 PM
8:00 PM
9:00 PM
10:00 PM
11:00 PM
0000
0100
0200
0300
0400
0500
0600
0700
0800
0900
1000
1100
1200
1300
1400
1500
1600
1700
1800
1900
2000
2100
2200
2300
1632
4:32 PM
0448
4:48 AM
7:58 PM
1958
Resources:PicturePicture on slide 2Man is available in the public domain under CC0 Public Domain; Color changed from original work.
Picture on slide 8members is available in the public domain under CC0 Public Domain; Word bubbles added.
Picture on slide 14PSM V78 D337 Archimedes is available in the public domain
Pictures on slide 19MASH Cast 1977 is available in the public domainDECONference triage tag by Steve Mann is licensed under CC BY-SA 3.0
Picture on slide 20Dame Edna by Eva Rinaldi is licensed under CC BY-SA 2.0
Clip Art on slide 26Hero is available in the public domain under CC0 Public Domain; Text added.
Clip Art on slide 30No admittance sign, created by Stephen Almond, is licensed under CC BY-SA 3.0
Clipart on slide 47Christree by Christreat is licensed under CC BY-SA 4.0
Picture on slide 50My dogs 2 is available in the public domain
Resources (cont.)Picture on slide 51Angry Child by Gerry Thomasen is licensed under CC BY 2.0
Picture on slide 52Controlled-Access Highway by Haljackey is licensed under CC BY-SA 3.0
Picture on slide 53Angelina Jolie Brad Pitt Cannes by Georges Biard is licensed under CC BY-SA 3.0
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