1. TALK IS: Fractions, Decimals and Percents
Models and Pictorials
Warm - up
Back Down Memory Lane
Power point
TALK IS: Fractions, Decimals and Percents
Guided Practice
I Have Been Converted!
Independent Practice
Back and Forth 1

2. Back Down Memory Lane (Warm up)T H O 1 29 31 56 64 7 19 42 49 71 13 27
SATURN 57 73 11 25 45 54 67 5 21 32 59 69
Matho is a game, similar to bingo, however it is played with mathematics concepts. Players cover up the correct responses on their cards with a chip. The first player to call “Matho” is the winner.

3. What is a Rational Number?
A rational number is any number that
can be written in fraction form.
Rational numbers in decimal form are terminating or repeating.
Rational numbers include whole numbers, fractions, decimals, and integers.

4. Percents
Fractions
TALK IS……..
Decimals
There are many different ways to talk about number relationships. Rational numbers can be represented and used in a variety of equivalent forms including fractions, decimals and percents.
What strategies do you use to convert numbers from one form to another?

5. Given a hundred grid
How would you write the percent, fraction, and decimal that is represented by the shaded part of the model?
What would
do? TM 75

6. The word percent means “per hundred” So 75% means “75 of 100”.
To convert a decimal to a percent, multiply by Then place the percentage sign by the number.
Let’s Take a Look
Fraction
Percent
Equivalent decimal of 3 4
The numerator is the dividend in a fraction.
The denominator is the divisor in fraction.
Begin with long division.
75 shaded
Total
1 0 0
X 0.7 5
5 0 0 . 7
-28 4 3
.00 2 5
-20
Simplify 75
100
Simplify 75 ÷ 25= 3
75%

7. Fifteen out of every fifty teens like to ski.
Write this verbal representation as a fraction in simplified form, then represent the fraction as a decimal and percent equivalence.
Fraction
Rewrite 3 as an equivalent decimal. 10
Rewrite as a Percent
Multiply the decimal .30 by 100, then place the % sign after the number.
The fraction 3
10 is equivalent to
15 like to ski
50 Total teens
Simplify 15 50 . 3
-30 10 .0 OR
Move the decimal two places to the right and add % sign.
Simplify 15 ÷ 5= 3
0.3 0
30%
Read as three tenths
Read as three tenths or thirty hundredths.
Read as thirty percent

8. Converting Rational Numbers
Rational numbers can used in a variety of equivalent forms to represent the same value.
What decimal is represented here?
What percent is represented here?
What fraction is represented here?
Allow students time for inductive reasoning to observe the conversion between percent to decimal to fraction. Ask students to describe a pattern from each transformation. =
30%
= 30%

9. . 381 1000 How would you write 0.381 as a fraction? 0 3 8 1
One method is to read the number after the decimal point as a whole and give it the name of its last decimal place.
0.381 is read as: three hundred eighty-one thousandths
tenths
hundredths
thousandths .
Solution:
381
write as the numerator of the fraction
Use place value 1,000 as the denominator
1000
How do you convert to a percent?
38.1%

10. One and five-tenth percent
How would you make use of what we have done so far to convert 1.5% to a fraction?
Can you add to Graphic Organizer?
1.5% 15
1000
0.015
One and five-tenth percent 3 20
Converting percent to
decimals or fractions
Show What You Know
Solution: Move the decimal point two places to the left %
Students should be allowed to use any equivalent form
one zero needs to be put in front of the 1
tenth 15
hundredth
thousandth
1000
÷ 5 = 3
200

11. It is estimated that 13.9% of the population of Texas was born outside the United States. Which number is not equivalent to 13.9%?
A B C D 1.39
What information are we given?
We are given the percent 13.9%
We know percent is a…….
Number referred to 100
13.9
100
13.9 %
The % sign means 100
We can convert 13.9% to a decimal by…
Moving the decimal point two places to the left %
.139
139
1000

12. I Have Been Converted! Guided Practice
60% of the of the world’s lead comes from recycled car batteries. What fraction is that? 5 3
2. It is estimated that the mass of a human liver is 0.5% of the body’s total
weight. What decimal is that?
0.005
3. Sierra shaded of her picture, as shown.
What is the decimal amount of her shaded picture?
What percent of her picture is shaded? 10 7
.70
70%
4. What is 8% as a decimal?
0.08

13. Guided Practice Continued
Fraction
(words)
Decimal
Percentage
Percentage (words) 1 10
One Tenth
0.1
Zero Point One
10%
Ten Percent 2
Three Tenths
Zero Point Four 5
60%
Sixty Percent
0.7 8
Zero Point Eight
Nine Tenths

14. Guided Practice Continued
Fraction
(words)
Decimal
Percentage
Percentage (words)
1/10
One Tenth
0.1
10%
Ten Percent
2/10
Two Tenths
0.2
20%
Twenty Percent
3/10
Three Tenths
0.3
30%
Thirty Percent
4/10
Fourth Tenths
0.4
40%
Forty Percent
5/10
Five Tenths
0.5
50%
Fifty Percent
6/10
Six Tenths
0.6
60%
Sixty Percent
7/10
Seven Tenths
0.7
70%
Seventy Percent
8/10
Eight Tenths
0.8
80%
Eighty Percent
9/10
Nine Tenths
0.9
90%
Ninety Percent
10/10
Ten Tenths
1.0
100%
One Hundred Percent

15. Writing Prompt
Describe two methods you could use to write 3 as a percent. 4
Provide examples of the process of each method.
Possible responses: long division, common fraction, using a proportion.