This document provides a lesson on understanding and using ratios, including how to identify, create, and simplify them. It outlines different types of ratios such as part-to-part and part-to-whole, along with examples and exercises for practice. By the end of the lesson, learners should be able to visualize and write ratios, as well as perform simplifications and find equivalent ratios.

1. Ratios and
Proportions
Using ratios to compare quantities
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2. Equivalent Ratios
Simplified Ratios
Understanding Ratios
Activity
Lesson
Outline
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3. How many hours
do you spend
playing games in
a day?
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4. Learning
Outcomes:
By the end of this lesson, you'll be able to:
Understand the concept of ratios
Identify and create equivalent ratios
Simplify ratios
Apply ratios to solve problems
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5. 2 apples
for every 5
bananas
Ratios are used to compare the number of one thing to another.
It's written in the form a : b, which is read as "a to b."
Understanding Ratios
Example:
The ratio of the number of apples
to the number of bananas is
2 : 5
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6. 2
5
2 : 5 2 : 7
Ratio as a
fraction
Part to
whole ratio
Part to
part ratio
We can express ratios in
different forms.
Different
Types of
Ratios
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7. 3 8
:
part part
There are 3 volleyballs for
every 8 basketballs.
Comparing one part to
another part.
Part to
Part
Ratio
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8. 3 8 11
:
part whole
11
:
part whole
There are 3 volleyballs
and 11 balls in total.
There are 8 basketballs
and 11 balls in total.
Comparing one part to
the whole or the total
quantity.
Part to
Whole
Ratio
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9. 11
3
11
8
3 : 11 8 : 11
Tip:
There are 3 volleyballs
and 11 balls in total.
There are 8 basketballs
and 11 balls in total.
We can also express
ratios as fractions.
Ratio
as a
Fraction
The numerator shows the left side, while
the denominator shows the right side.
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10. ?
?
Part to Part
Part to Whole
Fraction
?
?
Express the ratio of oranges to lemons into
different types.
Checkpoint
Task
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11. 7 : 17 10 : 17
7 : 10
17
7
17
10
ANSWER KEY
Part to Part
Part to Whole
Fraction
Express the ratio of oranges to lemons into different types.
Checkpoint Task
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12. ×2
×2
Refer to two or more ratios that have the same value.
Equivalent Ratios
Multiplying or dividing both
parts of a ratio by the same
number will result in an
equivalent ratio.
1 : 3 2 : 6
=
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13. Refer to a ratio that has been expressed in its simplest form.
Simplified Ratios
Dividing both parts of a ratio
by a common factor will result
in a simplified ratio.
5 : 10
1 : 2
5
5
5
10
=
= :
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14. If you spend 3 hours in a day playing
your favorite game, what simplified
ratio can you use to represent it?
Try This!
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15. 3 : 24
1 : 8
3
3
3
24
=
= :
The simplified ratio of 3 : 24 is 1 : 8.
ANSWER KEY
Try This!
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16. Great work!
Today, you learned how to:
visualize and write the ratio
of two given numbers
simplify ratios
identify equivalent ratios
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