Math Problem Statement
Activity No. 1: Identify rates and convert them to unit rates.
Solution
Let's go through the table in your image and identify whether the pairs of quantities represent rates. Then, if they are rates, we will convert them into unit rates.
1. 5 humans to 10 hands
- This is not a rate (N). It is a ratio, and every human has 2 hands.
2. ₱300 per 2 hours of work
- This is a rate (R).
- Unit rate: ₱300 ÷ 2 = ₱150 per hour.
3. ₱300 to 2 kg of rambutan
- This is a rate (R).
- Unit rate: ₱300 ÷ 2 = ₱150 per kg.
4. 20 meters in 5 seconds
- This is a rate (R).
- Unit rate: 20 ÷ 5 = 4 meters per second.
5. 24 miles in every 8 hours
- This is a rate (R).
- Unit rate: 24 ÷ 8 = 3 miles per hour.
6. ₱30,000.00 in 3 square meters
- This is a rate (R).
- Unit rate: ₱30,000 ÷ 3 = ₱10,000 per square meter.
7. 60 seconds per minute
- This is not a rate (N). It is a definition of time units, not a varying quantity.
8. 6 inches in half ruler
- This is not a rate (N). This is a measurement of length, not a comparison of varying quantities.
9. 6 apples in 3 every oranges
- This is a rate (R).
- Unit rate: 6 ÷ 3 = 2 apples per orange.
10. 15 candies in every ₱60.00
- This is a rate (R).
- Unit rate: 15 ÷ 60 = 0.25 candies per peso or 1 candy for ₱4.
Would you like further explanations or details on any of these?
Here are five related questions:
- How do you distinguish between a rate and a ratio?
- What are some real-life examples of rates?
- How is a unit rate different from a regular rate?
- Why is it important to convert rates to unit rates?
- Can unit rates be applied to currency exchange rates?
Tip: Unit rates make comparisons easier, especially when dealing with different quantities, by breaking them down into "per one" terms.
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Math Problem Analysis
Mathematical Concepts
Rates
Ratios
Unit Rates
Measurement
Formulas
Unit rate = total quantity / time or quantity
Theorems
Rate is a ratio that compares different kinds of quantities.
Suitable Grade Level
Grades 5-7