Transcript RATIOSANDPERCENTFinal

RATIOS AND PERCENT
…ANOTHER WAY OF LOOKING AT
FRACTION !
Let’s first define…what
is a fraction?



A fraction is a way of expressing a number. Ratios are
expressed as a fraction or by placing colons into the numbers
between the amounts present.
A fraction consists of two numbers, a numerator which gives
the number of equal parts and a denominator which gives the
number of those parts that make up a whole.
For example, the fraction 3⁄4 could be used to represent three
equal parts of a cake, where the whole cake is divided into four
equal parts.
What is a ratio?

A relationship
between quantities…
What is a Percent?
The Relationship Among
Fractions, Decimals, Percents:

All represent a part of a whole
A fraction is based on the number into which the whole is
divided (the denominator). The numerator (the top) is the
PART, the denominator (the bottom) is the WHOLE.
A decimal is based on the number in terms of tenths,
hundredths, thousandths, etc.
A percent is based on the number in terms of 100.

Fraction



Decimal
Percent

Fibonacci rectangles and the
Shell Spiral
Each new square is as long as the sum of the latest two square's
sides …1,1,2,3,5,8,13,21,.. The spiral drawn in the squares, a
quarter of a circle in each square.
Fibonacci and the Golden Ratio



What happens when we take the ratios
and we divide each number by the
one following number:
1/1, 1/2, 2/3, 3/5, 5/8, 8/13, ..?
Plot a graph of these ratios and see if
anything similar is happening.
Summarizing….



The first thing is to convert the
fraction into a decimal.
Remember…. The denominator (number
at the bottom of the fraction) is the
devisor (outside the house),
and the numerator (number on the top
of the fraction) id the dividend (the
number inside the house)
Summarizing…


After DIVIDING…we get the decimal !
To obtain the percent… remember to
move the decimal two spaces to the
right
Sunshine State Standards








FL.MA.A.1.3. - The student describes the meanings of positive rational numbers using
part/whole relationships and relative size comparisons in real-world situations.
MA.A.1.3.3. - The student describes the meanings of positive rational numbers using
part/whole relationships and relative size comparisons in real-world situations.
MA.A.1.3.3.6.2. - The student describes the meanings of positive rational numbers using
part/whole relationships and relative size comparisons in real-world situations.
MA.A.1.3.4. - The student knows the relationships among fractions, decimals, and
percents.
MA.A.1.3.4.6.1. - The student knows the relationships among fractions, decimals, and
percents.
MA.A.1.3.4.6.2. - The student expresses a given quantity in a variety of ways, such as
fractions, decimals, or numbers expressed as percents.
MA.A.1.3.4.6.3. - The student knows whether numbers expressed in different forms are
equal.
MA.A.1.3.4.6.4. - The student converts a number expressed in one form to its equivalent
in another form.
Worksheet