Transcript Sabrina Chan

Sabrina Chan
2008-2009
All My Memory
MATH
Squaring Numbers
What I did was squaring numbers.
Example: 4 x 4 = 16. Squaring numbers
are like that number multiplied by that
same number. That is what I was doing.
Taking cubes and squaring them.
12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121
122 = 144
Decimals with Excel
The Shaded Part
This is 0.12
This is 0.30
This is 0.49
This is 0.63
This is 0.28
This is 0.63
This is 0.9
This is 0.36
This is 0.7
This 0.56
This 0.64
This is 0.24
This is 0.64
This is 0.32
Squaring Numbers
• How to square numbers is really easy.
What you do is take a number like 5 and
then multiply it by five. And you get 25
then is you want to square 5 by three you
have to multiply 5 to 25 and you get 125.
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11 2nd power = 121
111 2nd power = 12321
1111 2nd power = 1234321
11111 2nd power = 123454321
111111 2nd power = 12345654321
1111111 2nd power = 1234567654321
11111111 2nd power = 123456787654321
111111111 2nd power = 12345678987654321
1111111111 2nd power = 135802468864197531
11111111111 2nd power = 1493827157506172841
111111111111 2nd power =16432098732567901251
1111111111111 2nd power = 180753086058246913761
11111111111111 2nd power = 1988283946640716051371
111111111111111 2nd power = 21871123413047876565081
1111111111111111 2nd power = 240582357543526642215891
11111111111111111 2nd power = 240582357543526642215891
111111111111111111 2nd power = 2646405932978793064374801
1111111111111111111 2nd power = 29110465262766723708122811
11111111111111111111 2nd power = 320215117890433960789350921
Riders of the Jungles Cat
• What you do in this thing is you try to
make the rider ride on the cat. But the
problem is, is that you can’t overlap the
legs of the jungle cat.
Riders of the Jungle Cat
This is the answer.
Rounding to the Nearest Ten
What I’m doing is making a mountain of
numbers. Like 1 ,2 ,3, 4, 5, 6, 7 ,8 ,9 ,and
10.Then I made the numbers go down, like
5, 6 ,7 ,8, and 9 go down to 10. And 2 ,3
,and 4 go down to 1.
Rounding to the Nearest Ten
5
4
6
7
3
8
2
1
9
10
My Six Times
What I did was multiply 6 to a number.
Like 6 x 5= 30. I did all the time tables
with 6es. That’s what you will see. Have
fun!6 x fun = awesome 6’es!
6x1=6
This is 6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
6 x 10 = 60
6 x 11 = 66
6 x 12 = 72
What is the Number in the Middle?
I put three numbers but then I hid the
middle Callout so you can figure what is
going to be in the middle. I did it so you
can learn what goes in the middle.
What is the number in the middle?
100
150
200
What number is in the middle?
1,000
1,500
2,000
Diameter
What I’m showing is the diameter and
the circumference. A circumference is
measuring around the circle and a
diameter a line that goes across the circle
in the middle. You will see the ball go
around like a circumference, and then you
will see a line of diameter.
Circumference
Diameter
Area
The area of a shape is the space inside
a shape. An area is a shape with squares
that are in a rectangle or square and how
many squares are on one side and then
you x the numbers of squares are on
another side.
This is a perimeter, around it.
The perimeter is 14.
The perimeter is 24.
Volume
• First what you do is look at the cube and
see what the length, width, and height is.
Then you multiply all of those numbers
together. That is how you do volume.
Let me test your skills in math.
What is the
volume?
4 cm
2 cm
3 cm
3 x 2 = 6, 6 x 4 = ?
First figure out
the problem then
go to the next
slide.
????
3x2x4=
??????
The answer is
24!!!
3x2x4=
??????
????
Now complete the tables for
rectangular prisms.
Length
Width
3
8
9
7
Height
Volume
4
?
3
6
5
2
1
10
6
Once you figured all of
these out go to the
next slide.
?
?
?
Length
Width
3
8
9
7
Height
4
Volume
108
3
6
5
2
1
10
6
288
60
60
This is how it looks when you start.
This is how you do it.
What you do is to look
at the little picture
and see how much
they equal to.
You look at the numbers on the
bottom and the side of the
green box.
Let’s start with the easiest row like
this one.
3+3+3= 9 so all of the pens
should equal 3.
All the pens should
equal 3.
The apples are 7 because on the
bottom row 3+7+7=17.
And when you look at the top row 3 +
6+6=15 so the present should be 6.
And when you look at the rows that
go down they all equal to the
number at the bottom.
Then you should click check it and
see if it is right.
And then you
will see right
here if you
were right.
My Math Shapes
Geometry
Small Red Square
Medium Green Circle
Large Blue Rectangle
Medium Orange Pentagon
Small Turquoise Hexagon
Medium Dark Red Trapezoid
Large Teal Triangle
Small Pink Cylinder
Medium Yellow Cube
Shapes That Are Polygons
Shapes That Are Not Polygons
What is the area of the rug?
13.6 m
The area is
145.52 square
meters.
10.7 m
Here is a picture of a line chart. It is
about the gas prices of Arco and
Mobil. The pink line is for Mobil and
the blue is for Arco.
Sabrina's Arco and Mobil Gas Prices
$2.450
$2.400
$2.350
Arco
$2.300
Mobil
$2.250
5/
11
/2
00
9
5/
12
/2
00
9
5/
13
/2
00
9
5/
14
/2
00
9
5/
15
/2
00
9
$2.200
Line
Line Segment
Point
Ray
Parallel Lines
Intersecting Lines
Perpendicular Lines
Vertex
Vertex
An Angle
A
C
B
Right Angle
Acute Angle
900
Acute angle is an
angle less than
90 degrees.
Acute
Angle
00
Obtuse Angle
Obtuse Angle
900
An obtuse
angle is an
angle bigger
than 90
degrees.
00
Straight Angle
1800
00
1 Right Angle triangle.
No equal sides and no equal
corners. That is a scalene triangle.
At least 2 equal sides and at least 2
equal angles. That is a isosceles
triangle
3 equal sides and equal angles.
That is an equilateral triangle.
The Point That Kept On
Changing
Once there was a shape and he
was a point, then he got bored and
turned into a…
Then the shape was an array, then
the shape got tired so he turned
into a…
Line! He liked being a line so he
started walking around. The line
saw this other shape that looked
fantastic so he turned into a…
Angle! Everyday he showed off his
fantastic shape. But then one day
he was tired of being that shape so
he turned himself into a…
Triangle! But then a few minutes
later he got bored of being a
triangle so he turned into a…
Square! He liked being square like
at first. But then he got tired so he
turned into a…
Rhombus! But then he got tired of
being that regular old shape so he
turned into a…
Parallelogram! Then he got tired
again so he turned into a
Pentagon! And once again he got
tired so he turned into a…
Hexagon! The shape shifter
thought how much better it was to
be a hexagon then a point. But
then something went to his mind
“Maybe a Hexagon is that that cool
so I’ll be a…”
Heptagon! But he didn’t like the
saying of it so he turned into a …
Octagon! But did he like it no he
didn’t. He didn’t like the shape of it
so he turned into a …
Point again because he was tired
of being every type of shape. He
was happy he was back to his
normal life
Pythagoras Theorem
The First to Discover Squaring
Numbers
The Pythagorean Theorem
C
5 meters
4 meters B
A Squared = 3
meters
B Squared = 4
meters
C Squared =5
meters
A
3 meters
A Squared + B Squared = C Squared
Math Triangles
What is suppose
to be in the
corner?
50
What you have to do
is you have to is… Is
you have to multiply
50 x 5= ?
5
My Pie Graph
• What I did was make a pie graph of how
many skittles I have. And then I colored
them by there colors then I paste it into
Power Point. Then I looked what the
mode is.
The mode is five.
Name
Strawberry, 5,
23%
Lime, 6, 27%
Grape, 4, 18%
Orange, 2, 9%
Lemon, 5, 23%
The mode is five
because there are
more 5’s then
other numbers.
My Bar Graph
• What I did was count all my skittles and
then made it into a bar graph by using
Chart Wizard, Bar Graph and then I click
the first bar one time then I clicked one bar
and then left click then I colored it. Then I
looked what the mode was.
My mode is five.
Sabrina Chan
7
6
5
4
3
2
1
0
Lime
Lemon
Orange
Grape
Strawberry
This is from Google Docs.
This is from Google Docs (It’s
exactly like the other slide but in a
pie chart.)
Vons Pears
Pounds
Cost
3
6
9
12
$1.00
$2.00
$3.00
$4.00
1 liter = 1,000 mL
Millimeter
Liter
Möbius strip
Frog Test in Excel
Frog Test in Excel on Power Point
• What I did was try to make all the man frog
go to on to the side where the woman frog
are and move the woman frogs to the
man’s frog side. Some people like me
thought it was imposable but it is possible.
That is math I tell you! Now watch my
slide!
My frog
First frog jumps
Second Frog Jumps
Third Frog Jumps
Forth Frog Jumps
Fifth Frog Jumps
Sixth Frog Jumps
Seventh Frog Jumps
Eighth Frog Jumps
Ninth Frog Jumps
Tenth Frog Jumps
Eleventh Frogs Jumps
Twelfth Frog Jumps
Thirteen Frog Jumps
Fourteen Frog Jumps
Last Frog Jumps
10 by 5
9 by 5
8 by 5
7 by 5
6 by 5
5 by 5
4 by 5
3 by 5
2 by 5
1 by 5
Decimals
0.5 =
5
10
0.8 =
8
10
9
0.9 = 10
0.6 =
6
10
0.7 =
7
10
1
0.1= 10
0.3 =
3
10
0.4 =
4
10
0.2 = 2
10
The
Percentage
• A Percentage is any number like 52 and the
slash in the % sign equals 1 and the two 0 equal
0 so if you put that together it would be 52 over
100. So if something says 32% that means 32
over 100. So this % sign equal 100. When ever
you see something like 52% that would mean 52
over 100. The slash on the % sign equals 1 and
the two 0s in the % sign equals 00 so if you put
that together the number would be 100. Say if a
book is 25% off what would that mean? It would
mean 25 over 100.
25% =
25
100
In fractions
Two digit numbers multiply by one
digit numbers.
So say we have.
Then we multiply 82
x x6
it by
What you do is
you take the
ones first?
So what is
2 x 612
=
These shapes tessellate.
Tessellations
9 squares can tessellate
5
Dividing or Leaving Remainders
Or you
can cut
one in
half
If you have
13 cookies
and you
want to
share it
with a towel
you can
divide it .
Or leave one
remainder
You can
each have
6 cookies
and the
remainder
will be one
towel
you
Follow the Bouncing Ball
128 ft.
The ball rebounds and it starts on top of a
128 feet building.
64 ft.
How high is
this point
32
ft.
16 ft.
8 ft.
Prime and Composite Numbers
• Prime means a number like two can be
divided into only two ways.
• And composite numbers means a number
can divide into three or more numbers.
• So all even numbers are composite except
for two. And all odd numbers are prime
(some).
3 /prime
because
3x1=3 and
1x3=3
6/composite
because
1x6=6,
6x1=6,and
3x2=6
4/ composite because
2x2=4 ,1x4=4 and
4x1=4
7/prime
because
7x1=7 and
1x7=7
5/Prime
because
5x1=5 and
1x5=5
8/ prime
because
4x2=8 ,
1x8=8,and
8x1=8
How Many Blocks Are There?
• On the next slide you will have to count
how many blocks there are. The big blocks
are thousands and the flat square are the
100s and the long rectangle ones are the
tens and the miniature squares are the
ones. So count all the blocks. Then on the
next slide you will see the answer.
How Many Blocks are there?
The answer is
2,226.
Mixed Numbers
This is how mixed numbers work. So what
you see is whole fractions which are called
“Whole Numbers”. And if there are 3 whole
fractions you write a big 3 (no fractions).
And then there is going to be a fraction so
you do the fraction, and put the answer
beside the big whole 3. The next slide will
show you how it will look like and how you
can figure it out. Have fun!!
That equals to:
3 1
4
Because there are three
whole numbers and
then there is a fraction
and the top number is
the shaded part so it
equals to 1/4
Real Algebra
• In the next slide show I’ll show you how to
figure out the next problem.
• So we are going to start with the number 4
and then the sum is 20.So what you have
to do is find out what c = to. Find the
number.
• First I’m going to start with this problem so
our letter Variable is c. So c x 4=20.
• So then you add the x to the 4 and then
you get 5 x’s
• Then you see how many 5’s can go into
twenty and you get 4 so x =4
• So 4x4=16 and then plus 4 more = 20.
• Now we got the answer
Combining Like Terms
• Combining terms is like adding say like
12y + 3y = to 15y so it is like regular
adding. But you just say like 12 apples = 3
apples and that equals 15 apples.
Combining Like Terms
3y + 6y = 9y
7y + 8y = 15y
9y – 6y = 3y
15y – 8y = 7y
6y + 3y =9y
8y + 7y =15y
9y – 3y = 6y
15y – 7y =8y
This is a new 2009 penny.
E PLURIBUS UNUM
• E PLURIBUS UNUM is written on a new
2009 penny. It means “One out of many.” it
is a Latin word
A New 2009 Penny
•
•
•
•
•
•
•
A new 2009 Penny’s mass is 2 grams.
The circumference is 6.28318.
The diameter is 2 cm
The Radius is 1 cm
The Area is 3.14159
It has 2.5% of Copper
It has 97.5 % of Zinc
Mr. Gallon
Galloon = 4 quarts
Quart = 2 pint
Pint = 2 cups
Cup
The ball expand when it was
heated so then it couldn’t go
through the hole.
This is how the ball and ring looked
like.
How to Multiply By 10, 100, and
1,000?
What you do is think
about what is 5x1=5
then you add the
two 0’s to the five
and that’s your
answer
5 x 100 = 5 add the
00’s to 5 = 500
You could do the same thing with
1,000 and ten just add the 00’s to
the number that you are multiplying
with the 3 digit or 4 digit.
5 x 1,000 =5,000
Now, we are going to multiply 2
digits by 2 digits.
You do the
50
x50
2500
First we will
start out by
doing this
take out the
0’s and do
5x5=25.
Then you
add the 0s
to the 25
and you get
2500
Making Coins into fractions
100 Cents =
100
100
1
50 Cents =
2
1
25 Cents =
10 Cents =
5 Cents =
4
1
10
1
20
=1
= 50
100
= 25
100
= 10
100
=5
100
Congruent shapes
Congruent
Means the same
shape, and the
same size
Those two shapes
are congruent.
Now I’m going to test your math
skills by giving you the Congruent
game.
• What I did was put all different kinds of
shapes and one shape that you are going
to match. So you choose the one that is
the same as the one shape. Have Fun!
Which shape
is congruent
to that shape
That one is
correct.
Now match these shapes.
• First I’m going to lay out some shapes and
you are going to look at it and put a match
the ones that are congruent. Good Luck
Example
Factors
• Factors are numbers that go into numbers.
Like the number 12, the factors are 6, 2, 4,
3, 12, and . So ,like 6 x 2 = 12. That’s what
a factor is.
Factors
The factors
of 13 are 13
and 1,
because it
can’t divide
into
anything
else. Only
13, and 1.
What are the
factors of 4?
To see what the
answer to the
question was
Go to the next
slide.
Answers
4, 1, 2, and that is all
Factors are easy to
memorize it is just
like 6 x 2 = 12
The Factor Game
What are the factors of 55?
11, 5, 55, and 1
55 =
Now say yes or no if the factors are
correct or wrong.
Yes
No
Are the factors for 32? 4, 8, 2, 18.
Customary Measurement
• Customary measurement is the units of
length, weight, and Capacity, and their
conversion. Units and conversions of
Length) Like Foot (ft) -12 inches. ( units
and conversions of weight) Pound (lb)- 16
ounces. (Units and Conversions of
Capacity) Cup (c)- Fluid Ounces.
Memorizing The Customary
System
Units and Conversions of Length
Inches (in.), Foot (ft.)- 12 inches, Yard (,yd.)- 36 inches, 3
feet (foot), Mile (mi.)- 5280, 1,760 yards
Units and Conversions of Weight
Ounces (oz), Pound (lb)- 16 ounces, Ton (T)2,000 pounds
Units and Conversions of Capacity
Fluid Ounces (fl oz), Cup (c)- 8 fluid ounces, Pint (pt)2 cups, Quarts (qt)- 4 cups, 2 pints, Gallons (gal)-4
quarts
The Customary Measurement
Game
• What you do is I’m going to ask you How
Many Ounces are in a Pound?, and so on.
The you are going to look how many
ounces are in 1 pounds. Get It. Now we
will start
How Many Ounces are in 1 Pound?
Tricky Five Squares Puzzle
Directions
First, make one box with 4 tooth
pick.
Hint: you
have 12
squares
Like that
Then make 3 more boxes.
Now you see how
to make it. That
square has 5
squares in it, and
has 12 toothpicks
in it
Looks like that
Problem 1
• A group of were planning to set a record
and build the biggest amphibian pyramid
in history. The plan was to put one toad on
the highest level,2 on the next level, 3 just
under them, and so on. In all, the toads
hoped that their pyramid would have 10
levels. How many toads would there be in
the pyramid?
Solution for Problem 1
Hint: 10 levels
Member the
problem
said one on
top and so
on. 2 on the
2 layer of
the top
Average
• Average is a really easy thing to do. Say
we have the numbers 10, 9, and 8, so
what you do is add those numbers up and
you get 27 then you count how many
numbers are you added up and divide that
number with the 27 and you get 9 because
there are 3 numbers. So 27 divided by 3
equals 9.
The First Thing you do is add the
Numbers up
9
8
+
7
24
Go to next
slide to see
the next
example
Then you count how many
numbers you added up and divide
it by 24.
24
3
This is a really hard math Puzzle
(Sudoku.)
This Puzzle is extremely Tricky to
me.
Tenths
Tens
Ones
Tenths
Hundredths
The Fibonacci Sequence
0
1
1
2
3
5
8
13
21
34
55
89
144
233
379
612
1991
1603
2594
4197
6791
10988
How the
Fibonacci
Sequence
works.
See how 0+1=1
then 1+2=3 that
is how the
Fibonacci
sequence works.
the last number
plus the last
number gives
you the next
answer
Even
pineapples
have the
Fibonacci
sequence
on it
How Many Days?
• Froggie fell down a 10-foot well. He cannot
hop out. He has to climb out. Everyday he
climbed three feet, but during the night he
slips back two feet. At this rate, how many
days will it take Froggie to climb out of the
well
How many days does it take
Froggie to climb out of the well?
10
9
8
7
6
5
4
3
2
1
How
many
days?
7 days!!
My Glossary
Sabrina Chan
Bar Graph
• Meaning
• A bar graph has pictures on it so you could
remember what you have.
Triangle
• Meaning
• A triangle is a 3 sided polygon. It has 3
points and it’s a shape.
Right Angle
• Meaning
• A right angle is an angle that is 90
degrees.
900
Polygon
• Meaning
• A polygon is a shape that is closed in and
has no curves in it.
Okay
Perimeter
Meaning
A perimeter is the distant around an object.
Perimeter
Pentagon
• Meaning
• A pentagon is a 5 sided polygon with 5
points.
Parallel Lines
• Meaning
• A parallel line is 2 lines that don’t touch.
Odd Numbers
• Meaning
• An odd number is a number that can’t
divide by an even number.
Octagon
• Meaning
• A octagon is a 8 sided polygon that has 8
points.
Numerator
• Meaning
• A Numerator is the top of a fraction.
Mixed Number
• Meaning
• A mixed number is a fraction and a whole
number.
Hexagon
• A hexagon is a 6 sided polygon with 6
points.
Graph
• Meaning
• A graph is a picture how much stuff you
have.
Digit
• Meaning
• A digit is a number like 1,2,3,4,5,6,7,8,9
but not 10.
Diameter
• Meaning
• A diameter is a line that goes through a
center of a circle.
Denominator
• Meaning
• A denominator is a bottom of a fraction.
1
Decade
Meaning
A decade is 10 years.
0
5
10
Century
• Meaning
• A century equals 100 years.
0
50
100
Congruent
• Meaning
• Congruent means something that is
parallel.
Dozen
• Meaning
• A dozen means 12 Items or anything.
Gross
• Meaning
• Gross means 144 years or items.
0
144
50
Bakers Dozen
• Meaning
• A bakers dozen equals to 13 items.
Fortnight
• Meaning
• Fortnight equals to 14 days.
Score
• Meaning
• Score means 20 things of Anything
Millennium
• Meaning
• Millennium means1,000 years, days or
anything
0
500
1,000