STEM Excellence Series: Empowering the Next Generation

PART PART

Part-Part

Definition Of Part-Part

Part-Part is a ratio that represents the relationship of one part of a whole to another part of the same whole.

More About Part-Part

It helps in making proportional judgments.
In Part-Part the degree of numerator is less than the degree of the denominator.

Examples of Part-Part

Suppose there are 10 marbles in a bag, out of which 3 are green in color and the remaining 7 are red in color. Then the part-part ratio of the green marbles to the red marbles is given as Examples of  Part-Part .

Video Examples: Singapore Math Basic Part/Whole Model Lesson

Solved Example on Part-Part

Ques: In a group of 40 people, 25 people attended a meeting and the remaining abstained from the meeting. Find the part-part ratio of the people who attended the meeting to those who abstained from it.

Choices:

A. Examples of  Part-Part
B. Examples of  Part-Part
C. Examples of  Part-Part
D. none of the above
Correct Answer: A

Solution:

Step 1: Part-Part is a ratio that represents relation of one part of the whole to another part of the same whole.
Step 2: Given that the 25 out of 40 people attended the meeting and the remaining 15 abstained from the meeting.
Step 3: Then the part-part ratio of people who attended the meeting to those who abstained from the meeting is Examples of  Part-Part.

Quick Summary

  • Part-Part ratios help in making proportional judgments.
  • It compares one part of a whole to another part of the same whole.
  • The numerator's degree is often less than the denominator's.
\[ \frac{\text{Part 1}}{\text{Part 2}} \]

🍎 Teacher Insights

Use visual aids like colored blocks or marbles to illustrate part-part relationships. Emphasize the importance of identifying the 'whole' before determining the parts.

🎓 Prerequisites

  • Understanding of fractions
  • Basic arithmetic operations

Check Your Knowledge

Q1: In a class of 30 students, 12 are boys and 18 are girls. What is the part-part ratio of boys to girls?

Q2: A basket contains 5 apples and 8 oranges. What is the part-part ratio of apples to oranges?

Frequently Asked Questions

Q: What is the difference between part-part and part-whole ratio?
A: Part-part compares two parts of the same whole, while part-whole compares one part to the entire whole.

Q: How to simplify a part-part ratio?
A: Divide both parts of the ratio by their greatest common factor.

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