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4.3 Proportions
LEARNING
STANDARDS
What is the relationship between ratios and Determine the
proportions? relationship between
ratios and proportions.
2 Pair
Aim: To determine the relationship between ratios and proportions.
Instruction: Perform the activity in pairs.
1. Select a page from a novel to copy. The time allocated for copying is 5 minutes.
CHAPTER
4 2. Your friend acts as a timekeeper to tell you the time to begin and the time to
stop copying.
3. Copy at a comfortable rate to minimise spelling mistakes.
4. Stop copying when the time is up. Mark the place you have stopped copying.
5. Count the total number of words copied in 5 minutes.
6. Exchange roles and repeat Steps 1 to 5 to obtain data for your friend. Use the
same page when copying.
7. Copy and record your findings in the following table.
Name of student
Number of words
Time (minutes) 5 5
8. Based on the results in the table, answer the following questions:
(a) What is the rate of copying in 5 minutes for you and your friend?
(b) Convert the rate of copying in 5 minutes to the number of words per
minute.
(c) If both of you continued copying at the same rate, how many words could
each person copy in 1 hour?
In Exploration Activity 2, you have used proportion to find
the number of words that you and your friend copied in
1 hour. Based on Exploration
For example, Activity 2, discuss
× 12 the similarities and
differences among ratios,
45 words = 540 words rates and proportions.
5 minutes 60 minutes Give an example for
each one.
× 12
Proportion is a relationship that states that the two ratios or two rates are equal.
Proportion can be expressed in the form of fraction.
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