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Math Magic

Review

AB
2/3.67 or 67%
1/3.33 or 33%
11 or 100%
1/2.5 or 50% example 10/20
1/4.25 or 25% example 5/20
3/4.75 or 75% example 15/20
1%.01 or 1/100 example 1 cent
10%.1 or 10/100 example 10 cents
20%.2 or 20/100 example 20 cents
90%.90 or 90/100 example 18/20 reduce div by 5 or 20*5 then 18*5
sum meansadd
difference meanssubtract
product meansmultiply
quotient meansdivide
2n, what should you do?multiply n by 2
1/2n, what should you do?multiply by 1/2 or divide by 2
7/8 is about1 whole because 7 is near 8
1/12 is abouta tiny bit because 1 is not near 12
3/8 is abouta little less than 1/2 because 4/8 would be half
9/16 is abouta little more than 1/2 because 8/16 would be half
Round meansstay at 4 or less and go up if 5 or more
About or Estimate meansUse easy math facts to solve it!
12/100 = __%12 because it is .12, there are 2 zeros so move 2 places
.4=__fraction2/5 (because 4 tenths 4/10 can be reduced)
3/5 = __decimal.6 because 3 divided by 5 or equal fractions 5*20 is 100 and 3*20 is 60
2.03= __ fraction2 3/100. Just read it as 2 and 3 hundreths and then write it
.15= __fraction15/100 or 3/20. Read it as 15 hundreths, then reduce
2 hundreds and 8 tens could also be 1 hundred and ...18 tens (280 = 100+180)
1012 = 1000+ __ + 10 + 20 kind of a trick
475 = 300 + ___ + 5170 just subtract what you have from the starting number
2516 = 2000+ ___ = 10 = 6500
5 100s and 6 10s= 4 100s + __16 tens or 160. Get the original number and subtract what you have to get what you need.
157 = 100+40+17. Add what you have and subtract from the starting number
reduce 6/103/5 divide the top and bottom by same number. use 2 if even until you can't divide any more
reduce 3/151/5 div top and bottom by same number start with 3 or 5 if odd
reduce/divide using 2 if the number ends inan even number like 0,2,4,6,8
try to reduce/divide using 3 or 5 if the number isodd
reduce/divide by 5 ifthe number ends in 0 or 5
reduce/divide by 10if the number ends in 10
if 2 rows and 7 more boxes are shaded out of a bunch of boxes it usually means27/100 or .27
if 1 box of 100 is shaded and 1 box has 12 shaded it means1 12/100 or 1.12
If 6 out of 10 boxes are shaded it means3/5 are shaded becuase 6/10 divide top and bottom by 2
if 4 pie slices are shaded out of 16 it means1/4 becuase 4/16 can be reduced
2/100 =.02 read it as 2 hundreths then write it
1/5 =.2 divide 1.00 by 5 or multiply top and bottom by 20 beucase you need 100 on the bottom
What is your spelling grade if you got 16 out of 20?16/20 = 20*5 and 16*5 which is 80/100 or 80%
2+1/6=2 1/6
13/6 = _ mixed number2 1/6 , divide top by bottom
6 2/3 = __ as improper fraction20/3, mult 3*6 then + 2 over the bottom number
When you get a math problem what are your 4 optionsAdd, subtract, multiply or divide
order 3/4, 5/6, 3/83/8,3/4,5/6 Cross mult or 5/6 near 1, 3/8 about 1/2 and 3/4 more than half and less than 1 whole
Order 6.2, 6.24,6.19 from big to least6.24, 6.2, 6.19. Think money!
Order 1/2,1/4,3/4,11/4, 1/2, 3/4, 1. Think money and quarters or 25 cents and 1/2 is 50 cents 1 is a dollar
Order 1/2, 1/3, 3/3, 1/4, 3/4, 2/31/4, 1/3, 1/2, 2/3, 3/4, 3/3(which is 1). Think money, think decimals 25 cents, 33 cents, 50 cents, 67 cents, 75 cents and 1 dollar
Order 3/4, 5/12, 1/25/12 (less than half), 1/2, 3/4 (more than half)
Order 2, 3/4, 1 1/23/4 (not even a dollar), 1 1/2 (1 buck 50) and 2 (2 dollars)
Order 4.5, 4.07, 4.3, 4Think money! 4, 4.07, 4.3, 4.5
Order 3/4, 1/10, .5Think all money/decimals. 1/10 (.1), .5, 3/4 (.75)
Multiply by 10 moves the decimal which wayRight by the number of 0's
Divide by 10 moves decimalLeft by number of 0's
When you + or - decimals you MUSTLine up the decimals! If there is a blank fill it with a 0
How many places in the answer?Count the number of places in the problem then same move over that many places in answer.
Add 1.3 and 2.093.39 line up decimals
Subtract 5.29 from 6.31.01 line up decimals
Multiply .2 times 81.6 multiply regular then count over 1 place
4.2 divded by 6 =.7 Divide and bring the decimal straight up
When you + or - fractions you MUSThave the same denominators (same number on the bottom)
3/4 + 1/2 =1.25 either think money 75 cents and 50 cents or notice 2 goes into 4 and use 4 as the common denominator
4/5 - 1/2 =3/10, 4/5=8/10 - 1/2=5/10 multiply denominators to find common denominator then multiply the tops by the same number you multiply the bottom by
2/3 * 1/2 =1/3 because 2*1 = 2 and 3* 2 = 6 so 2/6 divide by 2/2
3 1/4 * 2 =6 1/2 because 3 1/4 = 13/4 and 2 = 2/1 then multiply and turn into mixed number
write 4 as a fraction4/1 (any number over 1 is the number)
9/9 =1 (any number over itself is 1)
Write 2 out of 3 as a ratio2/3, 2 to 3, 2:3
Write 16 out of 20 as a ratio16/20 = 4/5, 4:5, 4 to 5
3 triangles and 4 squares what is ratio of triangels to total3/7, 3 to 7 or 3:7
3 cats, 5 dogs, ratio of total to dogs8:5 put ratio in the order the question asks it
Round 6 3/4 to7, think .75 or half of the denominator 4 is 2 so over 1/2 rounds up
If you round both numbers DOWN your estimate may below or LESS than the actual answer
If you round both numbers UP the estimate is High and the real answer will beLess than the estimate
Estimate (not round) $15.45 divided by 4$4 because $16 div by 4 is easier than $15 div by 4
$40-$20.75 =estimate more or less than $20 in changeLess than $20
Remember metric conversion - move decimal right* or left/Kangaroos hopping down my driveway chasing me
1 Garden with 4 Queens each have 2 pear trees with 2 catapillars1 Gallon= 4 Quarts = 2 pints = 2 cups
How many cups in 2 quarts?8 cups. Draw the garden and count
210 cm = ___ m2.1 meters divide go left by 2 cent for 100s
2 km = ___ m2000 meters multiply go right 3 places for thousands
3 feet = __ inches or 1 ______36 or 1 yard because 3 * 12 (12 inches in a foot)
5280 feet = what1 mile
put in order ounce, ton, poundounce (oz of juice), pound (box of lb sugar), Ton (T cars)
A kilomer is abouta mile
Meter is abouta giant step or baseball bat
A centimeter is aboutthe width of your pinky finger
Acute angle isless than 90
Obtuse angle ismore than 90 and less than 180
Right angle is90
Straight angle(line) and the measure of a triangle =180
32 degrees FahrenheitFreezing and = 0 Celsius
What are these answers for: 60, 365,24, 52, 12sec in hour or minutes in hour, days in year, hours in a day, days in a week, months in a year
2 days = ___ hours48 because 24 * 2
What is area for a rectangle with sides of 4 and 6 ft.24 square ft. Area = l * w
What is Perimeter for a square with side of 3ft12 ft P = s +s+s+s or square is 4s
A=1/2bh. Triangle with base of 4 and height of 6 ft what is the Area?12 sq ft because 6*4 then divide by 2
A= bh are of a parallelogram so if b= 9ft and h=2ft what is the Area18sq ft
Volume = multiply 3 sides (length, width and height) so what is volume of shape that is 6in, by 3in by 2 in36 cubic inches (written with a little 3) multiply any of the numbers in any order don't worry which is length, width or height
Parallelogramquad with parallel sides
Rhombusdiamond all side = and parallel
Trapezoidquad with 1 set of parallel sides
Pentagon5 sides could be a house
Hexagon6 sides
Octagon8 sides
Decagon10 sides
Polygonclosed flat shape with straight sides
Verticeswhere line segments come together to form an angle
Congruentsame shape and size, equal
Symmetryfold over and it covers it exactly
Odered pairs go first __ and then ___go over and then up. The baby crawls and then it walks
Clockwise goes to theright like the numbers on the clock go 1, 2, 3
Counterclockwise turns to theleft backwards on the clock 11, 10, 9
rotate meansturn could be 90 which is a quarter turn or 180 which is a half turn
translate meansslide...it moves over or up or down but looks the same. Count over and up or down.
reflect meansflip
Rectangualr prism meansa box (rectangle) think shoe box or rubric's cube
cone looks likean upside down ice cream cone the bottom is the base
A cylinder is likea can of food, the top and bottom are called bases
Pyramids look like4 sides on the bottom and point on the top
A triangular prism looks liketriangles on the ends with flat sides
What has faces (sides)vertices (angles), edges (where the sides fold together)3 D shapes
A Sphere looks likea globe
What is the mean of 20, 10, 30?20, Add the numbers and divide by the number of number
What is the median of 10, 100, 20, 90,40?40, put them in order and pick the middle number
What is the mode of 10, 20, 30 , 20, 30 , 40 , 40, 40?40, it is repeated MOST often
For Stem and Leaf if the stem is 6 and the leaves are 2,3,4 what numbers do they represent?62, 63, 64 put the stem and the leaf together
Bar graph - if the tallest bar is for soccer and it is haf way between 200 and 300 it shows how many kids like soccer?250 kids
Pie chart/circle graph - if half the chart is colored for kids who like vanilla ice cream and there are 100 kids how many eat vanilla?50 or half of the kids
Pictograph - if a smile mean 4 kids and you see 2 smiles how many kids are there?8 because 2 smiles * 4 kids = 8
Line graph - Feb had the most snow and June and July had none, which month is highest?February
Probability of picking red when you have 3 green, 2 red and 5 blue2/10 or 1/5 which is 20%...what you want over total of what you have
Tree diagram shows what?shows options Draw it, guess and move on
10 kids, 5 like vanilla, 3 like choc, 2 like both what goes in the middle of the Venn diagram?2 things in common and the inside plus the outside of the circle = the total for that circle consider guess and move on
Patterns 2, 4, 6, __,__,__8, 10, 12 see if you can add, subtract or multiply to get to the next number. Write down how you get from the first to the second number and keep going.
150 + y = 380230 just subtract 380-150 or try all the answers they give you and see if you get the correct answer when you DO the math
8x= 18010, divide or try all the answers they give you and see what works
n/4 = 1248 Multiply or try all the ones they give you and see what works!
y - 3 = 5053 Add or try all the answers they give you and see what works!
When you have an equation (math problem) with a variable (letter) you shoulddo the opposite operation or try all the answers they give you and see which one works!
What math expression would you use to calcualte how many days in 2 years?365 * 2
What math expression for 3 pans of cookies with 12 each3*12
What is the unit cost of 1 apple if 12 apples for $3.60.30 or 30 cents
What are the 4 math operations?add, subtract, multiply or divide?
What triangle has 3 equal sidesEqualateral
Triangle has angle of 90 and 45 what is the other angle?45 because together they =180
How much time elapsed between 9:45 and 11:15?1 and 1/2 hours



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