Download ratio frayer.notebook

ratio frayer.notebook
December 13, 2013
Frayer Model
definition
essential characteristics
word
examples
nonexamples
word
1
ratio frayer.notebook
December 13, 2013
comparison of two
quantities by
division
a comparison
of two quantities
by division
uses "to", :, or /
ratio
ratio of boys to girls can be 3:1, 3 to 1, 3/1
at least
2 terms
1/4 of the children are girls
ratio
2
ratio frayer.notebook
December 13, 2013
at least 2 numbers
the numbers
that represent the
quantities being
compared in a ratio.
a comparison
terms of a
ratio
ratio of boys to girls can be 3:1, 3 to 1, 3/1
4/8 = 2/4
in lowest terms
terms
terms of a ratio
3
ratio frayer.notebook
December 13, 2013
a ratio that
compares two
quantities measured
in different units
at least 2 quantities
different units
rate
I drove 770 miles in
12 hours
For every 6
cookies I have, my
sister has 2.
rate
4
ratio frayer.notebook
December 13, 2013
a rate in
which the
second quantity
in the comparison
is one unit
second term
is one
unit rate
10 cm. per
minute
I drove 700
miles in
12 hours
unit rate
5
ratio frayer.notebook
December 13, 2013
ratios that name the
same comparison
­at least two ratios
­equal to each other
but in different form
equivalent
ratios
4
= 2
6
3
=
8
12
divide or multiply by 2
2
48 = 4
60 12
These are not equal
because the 2 terms were not divided by
the same number.
equivalent ratios
6
ratio frayer.notebook
December 13, 2013
Comparison
For each
or for every
at least 2
quantities
per
Eggs cost
$2.18 per dozen
A cat can per
(should be purr)
per
7
ratio frayer.notebook
December 13, 2013
A table that
represents the
relationships
between equivalent
ratios.
table
terms in the same
ratio
Table of
Equivalent Ratios
hours
worked
1
$ made $5
2
$10
3
$15
ratios
are equivalent.
hours
ratios
are not
equivalent
worked
1
$ made $5
2
3
$7
$10
Table of Equivalent Ratios
8
ratio frayer.notebook
December 13, 2013
a drawing that looks like a segment of tape, used to illustrate number relationships.
Also known as a strip diagram, bar model, length model.
blocks of equal sizes
comparing at least 2 quantities.
tape diagrams
games won:games lost
3:2
games won:games lost
3:2
tape diagrams
9
ratio frayer.notebook
December 13, 2013
2 number lines that compare quantities that have different units. They help make visible the many, even infinitely many, pairs of numbers in the same ratio.
2 number lines
equal segments
double
number line
diagrams
hours
0
1
pages
0
20
2
3
2 quantities
4
40 60 80
This is part of a coordinate grid.
double number line diagrams
10
ratio frayer.notebook
December 13, 2013
a plane formedby the intersection
of a horizontal numberline called
the x-axis and a vertical number
line called the y-axis.
2 number lines
perpendicular
to each other
Coordinate
Plane
This is a table.
Coordinate Plane
11
ratio frayer.notebook
a ratio
comparing
a number to
100
December 13, 2013
100 is
the second
term
Percent
45 out of 100 students
made the honor roll.
45
100 = 45%
6 or 6%
10
of the students made the honor roll.
This is wrong because % is out of 100. It should be
60%. Percent
12
ratio frayer.notebook
December 13, 2013
To express a quantity
in alternate units.
2 different units
one quantity
Convert
1 meter is equal to 100 centimeters
4 =1
8 2
This is simplified, not changing to different units.
Convert
13
ratio frayer.notebook
December 13, 2013
An expression that uses
the number 10 as the base with an exponent.
105
=
10 is the base or factor
being multiplied. The
exponent tells how many times 10 is being multiplied.
Power of
Ten Notation
(10n)
10 x 10 x 10 x 10 x 10
62
ten is not the base.
Power of Ten Notation (10n)
14