Transcript here
Warm Ups Write your answers in your Warm Up book and be prepared to share! Warm Up #1 • Alyssa’s extended family is staying at the lake house this weekend for a family reunion. She is in charge of making pancakes for the entire group. The pancake mix requires 2 cups of flour for every 10 pancakes. • Write a ratio to show the relationship between the number of cups of flour and the number of pancakes made. • Discuss with your partner what we might mean by “the value of the ratio.” Use the value of the ratio to fill in the following two “multiplicative comparison” statements. • The number of pancakes made is ________ times the amount of cups of flour needed. • The amount of cups of flour needed is ________ of the number of pancakes made. • If Alyssa has to make 70 pancakes, how many cups of flour will she have to use? Show how you got this answer. Warm Up #2: A peanut butter company decides to try out a new version of its peanut butter that is extra crunchy, using twice the number of peanut chunks as normal. The company tries a sampling of its new product at grocery stores and finds that 5 out of every 9 customers prefer the new extra crunchy version compared to the old version. • The ratio (as a fraction) of number preferring new extra crunchy to total number surveyed is _________. • The ratio (as a fraction) of number preferring regular crunchy to the total number surveyed is _________. • The ratio of number preferring regular crunchy to number preferring new extra crunchy is _________. • The ratio of number preferring new extra crunchy to number preferring regular crunchy is _________. Let’s use the value of each ratio to make comparisons for each of the ratios we described. • The number preferring new extra crunchy is _________ of the total number surveyed. • The number preferring regular crunchy is _________ of the total number surveyed. • The number preferring regular crunchy is _________ of those preferring new extra crunchy. • The number preferring new extra crunchy is _________ of those preferring regular crunchy. • If the company decides to produce 2,000 containers of regular crunchy peanut butter, how many containers of new extra crunchy peanut butter would it produce? • If the company decides to produce 10,000 containers of new extra crunchy peanut butter, how many containers of regular crunchy peanut butter would it produce? Lesson • To make Paper Mache, the art teacher mixes water and flour. For every two cups of water, she needs to mix in three cups of flour to make the paste. • Find equivalent ratios for the ratio relationship 2 cups of water to 3 cups of flour. Represent the equivalent ratios in a table. What happens if you add to a number in column one. Do you add the same amount to column 2? Each pair of numbers in a ratio table is equivalent to the same ratio. The following tables show how many words three girls can text in a given amount of time. Michaela 50 words per (1) minute Jenna 45 words per (1) minute Maria 40 words per (1) minute What strategy would you use to compare the speeds of the 3 girls? Can we find how many words each can type in ONE minute? What do these three have in common when written as a ratio? 2nd # is ONE • Share some examples of where you have seen or heard of “something” per “1 unit” Miles per gallon Meters per second Price per kilo Students per teacher Classes per day Class/homework • Go to my blog and download the worksheet “problem set 2” • Do all of your work in your orange notebooks. • Make sure to make a table if the instructions say to!