1. Brain Dumping!

2. Divisibility Rules
A number is divisible by: 2 if the number ends in 2,4,6,8,0 3 if the sum of the digits is divisible by 3 4 if the last to digits of the number is divisible by 4 5 if the number ends in 0 or 5 6 if the number is divisible by 2 AND 3 9 if the sum of the digits is divisible by 9 10 if the number ends in 0

3. PRIME, COMPOSITE or Neither
Prime numbers have exactly two factors 1 and itself 2 x 1 = 2 13 x 1 = x 1 = 19 Composite numbers have many factors 1x6=6, 2x3=6 or 1x12=12, 2x6=12, 3x4=12 The number 1 is NEITHER prime nor composite! 1x1=1 it only has ONE factor!

4. 8 3 Exponents 8 is the base & the number you multiply
3 is the exponent and tells you how many times to multiply the base (or how many time to write the big number)
8x8x8= 512

5. Decimal Rule for Adding and Subtracting
LINE UP THE DECIMAL and ADD or SUBTRACT
Add a zero
To fill in
blanks
Add a zero
To fill in blanks

6. Multiply Decimals Rule
Multiply and forget the decimal. After you get the answer count the number of digits after the decimal in the problem and that will BE the number of digits after the decimal in the problem 2.01 X
2 digits after the decimal
1 digit after the decimal
Total of 3 digits after the decimal
Count 3 digits and add the decimal point
Count 3,2,1

7. Dividing Decimals Rule
You CANNOT divide by a DECIMAL! MOVE the Decimal to the Right UNTIL the number you are dividing by is a WHOLE # THEN do the same thing to the other NUMBER & DIVIDE! change to 8 64

8. COMPARE FRACTIONS! CROSS MULTIPLY
3/4 < > = 2/3
3x3 2x4
9 > 8
3/4 > 2/3
CROSS MULTIPLY
Compare the numbers

9. Compare Similar Figures
SET UP A Proportion Height of 1 = length of 1 Height of 2 = length of 2 Divide the top by the bottom and compare.

10. RATE
Rate = $ divide top by bottom to get rate unit Units are – gallons, meters, miles, hours, minutes, inches, feet, yards, etc Rate + $60 = 20 gallons = $3 per gallon

11. Write and READ fraction as: ___ : ___ or ___to___ 2/3 2 : 3 or 2 to 3
RATIO
Write and READ fraction as: ___ : ___ or ___to___ 2/3 2 : 3 or 2 to 3

12. A proportion is an equation that shows two equivalent ratios.2 1 __ 4 = 4 2 __ 8 = 2 1 __ 6 3 =
Reading Math 2 1 __ 4 2 __
Read the proportion = as “two is to
one as four is to two.”

13. Additional Example 1: Modeling Proportions
Write a proportion for the model.
First write the ratio of hearts to stars.
number of hearts
number of stars 4 8 __ =
Next separate the hearts and stars into two equal groups.

14. Metric conversion Rules
King Henry Died Over Drinking Chocolate Milk Kilo Hecto Deka Origin Deci Centi Milli
RIGHT
The direction and how many times the frog has to jump is the direction and number of
times You move the decimal point.
Change kilometers to decimeters decimeters
Origin = 1 liter, 1 meter, 1 gram

15. 60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
7 days = 1 week
About 4 weeks = 1 month
12 months = 1 year
365 days = 1 year

16. G PP cc cc PP cc cc PP PP cc cc cc cc

17. Percent = per 100… place the percent over 100 and simplify.
45% = 45/100 = 9/20
2 % = 2/100 = 1/50
2 ½ % = 2.50 % = .025 = 25/1000 = 1/40 (you must change to a decimal then to a fraction and then simplify)
Decimal to percent – is in the correct alphabetic order D to P so you move to the Right ---- move the decimal 2 places to the right…
.35 = 35 %
.08 = 8 %
.8 = 80 %
Percent to Decimal – is not in the correct alphabetic order P to D so you move to the Left ---- move the decimal 2 places to the left…
5 % = .05
30 % = .30 or .3
2.5 % = .025

18. Decimals to fractions – use place values and simplify .03 OR .03 3
put a 0 for each number and a 1 where the decimal is
Fractions to decimals – divide bottom number into top number ¾
.75
3.00
-2 8 20
You will have a terminating decimal – with no remainder, or a repeating decimal – use a repeating bar…. 6
SIMPLIFY ALL FRACTIONS EVERY TIME!!!!

19. Fractions to Memorize ¼ = .25 1/8 = .125 1/5 = .2
¼ = /8 = /5 = .2
½ = /8 = /5 = .4
¾ = /8 = /5 = .6
1/6 = .6

20. SQUARED2 when a number is squared it is multiplied times itself
Memorize these squared numbers: 22 = 4 82 = = = 9 92 = = = = = = = = = = 169

21. Variable letter that stands for a number
To solve for a variable
DO THE OPPOSITE OPERATION
TO BOTH SIDES
multiply x = 12
divide is opposite x/2 = 12/2
X = 6

22. A translation is the movement of a figure along a straight line.
Only the location of the figure changes with a translation.

23. A rotation is the movement of a figure around a point
A rotation is the movement of a figure around a point. A point of rotation can be on or outside a figure.
The location and position of a figure can change with a rotation.

24. When a figure flips over a line, creating a mirror image, it is called a reflection. The line the figure is flipped over is called line of reflection.
The location and position of a figure change with a reflection.

25. Additional Example 1A: Identifying Transformations
Tell whether each is a translation, rotation, or reflection.
The figure is flipped over a line.
It is a reflection.

26. 30 days hath September, April, June and November.
All the rest have 31 days except February which have 28
or 29 on leap year.

27. How do you know which months have 30 or 31 days. Look at your knuckles
How do you know which months have 30 or 31 days? Look at your knuckles! The peaks are 31 days the valleys are 30….except for Feb!
Aug 31
Oct 31
Dec 31
May 31 Ju l 31
Jan 31
Mar31 No
Peak or
valley
Sept 30
Jun 30
Apr 30
Nov 30
Feb 28

28. Time and Date
60 seconds in a minute
60 minutes in an hour
24 hours in a day
7 days a week
52 weeks in a year
365 days in a year

29. Simplify all fraction answers as
Fraction Rules
+ and – fractions
1-You must find a common denominator (LCM)
2-Next add or subtract the top number only
3-Simplify =
3 x3= 9
4 x3= 12
1 x4= 4
+3 x4= +12 13 12
LCM factor both numbers- all the couples and the ugly people go to the party
3= 3,1
4= 2,2
LCM = 3X2X2
LCM = 12 (use 12 as the common denominator)
Simplify all fraction answers as
the last step!
Simplify to 1 112

30. multiplying fractions Simplify all fraction answers as
Fraction Rules
multiplying fractions
1-multiply the top with the top number
2-multiply the bottom with the bottom number
3-Simplify
!! HINT !!
If the problem has mixed numbers change to an improper fraction then follow the rules for multiplying fractions!
HINT!
If the problem has mixed numbers change to an mixed number then multiply!
x = 12
12 divide top and bottom by 3 = 4
Simplify all fraction answers as
the last step!

31. Simplify all fraction answers as
Fraction Rules
dividing fractions
1-flip the 2nd fraction (reciprocal)
2-change the sign to multiplication
3-multiply the top with the top & bottom with bottom
4-Simplify
!! HINT !!
If the problem has mixed numbers change to an improper fraction then follow the rules for dividing fractions!
÷ =
X = = (simplify) 2
Simplify all fraction answers as
the last step!