Mathematical+Reflections,+p.+25

=Mathematical Reflection 2 p.25= Big Idea Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them. __ Essential Question: __ __//    What methods are there for comparing things? //__ Marcello Kim 1-27-2008 block C 1. **Q: Give an example if a situation in which it makes sense to use percents to make comparisons.** A: A situation is when you're trying to get the # of a specific type of cookies out of all the cookies. 2. **Q: Using your example from part 1, show how to make a comparison using percents.** A: ex. 60% of the cookies are choco-chip, 10% is a snickerdoodle, and 30% is peanut-butter cookies. 3. **Q:Explain why percents are useful making comparisons.** A: Percents sort of gives you a simplified idea of a comparison. For me, it sounds a bit 'easier' than a ratio or a fraction. It's good when you're comparing a part to whole. Ratios are usually for comparing part-to-part. 4. **Q: Give an example of a situation in which you think another form of is better than percents. Explain your reasoning.** A: An example is the # of cars compared to a # of bikes. It's easier to just say '3 to 2 (or anything else)' than to say '60% are care cars and 40% are bikes'. As mentioned above, ratios are good for comparing part-to-part. Also, you could simplify ratios if the 2#'s are divisible. 5. **Q: can you find a percent comparison from a ratio comparison? Explain how, or tell what additional information you would need.** A: I could tell the difference by how they are stated. Percents has '%' this sign after the # or it says '# percent'. Ratios are stated as '# to #' or #:#. Summary: In this unit, I learned how to use percents to make comparisons and when the percents are useful. Percents are for comparing part-to-whole, and it always ends with '%' this sign. ratios are for comparing part-to-part and it's stated as '# to #' or '#:#'. Percents have strengths that it simplifies big data and it gives you basic ideas. It's weaknesses are its hard to compare part-to-part and it's sometimes harder to make than ratios. Notes: ratio= part-to-part comparison percentage= part-to-whole comparison