Ratio and Rate

2. a. express one value as a fraction of another given ratio
and vice versa;
LEARNING TARGET:
b. find how many times one value is as large as another
given their ratio and vice versa;
c. define and illustrate the meaning of ratio using
concrete or pictorial models;

4. What are the
letters of your
first name?

5. How many
vowels are
there in your
first name?

6. How many
consonants are
in your first
name?

7. What is the ratio of
the vowels to the
consonants in your
first name?

8. What is the ratio of
the vowel to all the
letters in your first
name?

9. Is a comparison
of two numbers or
quantities

10. Comparison may be
part by part,
part by whole,
whole by part.

11. When forming a ratio,
it is important to
consider the order of
two numbers.

12. Part : Part
Consonants to Vowels
7 4
A ratio may be written in three forms:
colon form:
fraction form:
We read :
word form: 7 to 4
7 : 4
7
4
seven to four

13. Part : Whole
Consonants to Total letters
7 11
A ratio may be written in three forms:
colon form:
fraction form:
We read :
word form: 7 to 11
7 : 11
7
11
seven to eleven

14. Whole : Part
Total letters to vowels
11 4
A ratio may be written in three forms:
colon form:
fraction form:
We read :
word form: 11 to 4
11:4
11
4
Eleven to four

16.  How many are boys?
 How many are girls?
 How many learners
are in this class?

17. Answer the following
questions.

23. are ratios that express
the same relationship
between numbers

24. The value of the ratio is the quotient
If two ratios are equivalent, they have the same value.

25. b. find the rate by expressing one quantity
per unit of another quality; and
LEARNING TARGET:
c. determine unit rate.
a. compare and contrast ratio and rate;

26. is a comparison of
two numbers or
quantities

27. is a special ratio that
compares two measurements
with different units

28. Example:
There are 4 boys to
every 6 girls in this
math class.
Example:
This car burns 20 L
of gas for every
200 km travelled.
Both
can be
written
as
fraction
s
Miles per Hour
Apples to oranges
Both can
be
reduce
to
lowest
term
compares
similar units
compares
different
units

29. is a rate in which the
denominator is 1 unit

30. In 2017, a factory
worker in the National
Capital Region (NCR)
receives a wage of
₱2,850.00 for 6 days
of work. What is the

31. Express each ratio as unit
rate.
₱36.00 for 3 cookies
₱341.00 for 5 liters of gasoline
4 oranges for ₱ 100.00

32. is a rate that compares
the price of an item to its
unit of measure.

33. The selling price of
3 undershirts at a
night market is
₱120.00. Find the
unit price of the
undershirt.

34. Is ratio a good way to
make comparisons
between quantities?
Points to Ponder

35. Should you always make
comparisons?
Points to Ponder

36. Why is it important to
compare?
Points to Ponder

37. When is it not
advantageous to compare?
When is it harmful?
Points to Ponder

40. The lowest
term of ratio
24 : 60 is ___.

41. The ratio 3:7
is equivalent
to _____ : 28

42. The ratio 120
km per 3 hours
is equivalent to
____ per hour.

43. The ratio of the number
of vowels to the
number of consonants
in the word
PHILIPPINES is ____.

44. If 10 pieces of pan de
sal cost ₱21.50, then
the cost of 1 piece of
pan de sal is _____.

45. is a rate in which the
denominator is 1 unit