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Comparing IntegersName Key Concept and Vocabulary A number line shows the integers.2 is less than 1.1 is greater than 2.2 11 23210negative integersPRACTICE 1.zeroPURRFECT Miswrite the integers in12

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Hello sixth-graders welcome to Big Ideas' math section 5.7 converting measures lesson pause while you write section 5.7 lesson in your math notebook pause again while you write today's lesson objective in your math notebook today's objective is convert units of length capacity and weight / mass between the customary and metric systems today's lesson begins on page 234 at the top of the page there's a reminder of what a conversion factor is you wrote this in your notes yesterday, so you shouldn't need to write it again a conversion factor is a rate that equals one an example is one meter is approximately equal to three point two eight feet, so that's the relationship the conversion factors look like this one meter over three point two eight feet and three point two eight feet over one meter, so they're a fraction and the reciprocal of that fraction, so it says you can use unit analysis to decide which conversion fraction will produce the appropriate units, so we'll be doing that today in today's lesson converting units example one letter A convert 36 quarts to gallons, so we're going from quarts which is a smaller unit gallons which is a bigger unit, so we're going to use a conversion factor we know quarts, and we don't know how many gallons that is we know that there are four quarts in one gallon or one gallon equals four quarts, so we're going to set this up so that our courts are diagonal from each other so that we can cancel out the courts, so that means that we're going to choose the conversion factor with one gallon on and for courts on the bottom and then that makes it so that we can multiply 36 times 1 which is 36 and divide that by 4 so 36 times 1 is 36 and when we divide that by 4 we get 9 gallons, so 36 quarts equals 9 gallons, and then we're going to convert in letter B 20 centimeters to inches, and we're going to use the conversion factor again, and we know that 1 inch equals about 2.54 centimeters, so again we're going to make it so that our centimeters are diagonal from each other so that we can cross those out, and then we have 20 times 1 on the top and that means that we can divide 20 divided by 2 point 5 4 and when we do that division we end up with 7 point 8 7 inches, so 20 centimeters is about 7 point 8 7 inches now we're going to look at example 2 this is on page 235 copy and complete the statement using less than or greater than 25 ounces is either less than or greater than 2 kilograms, so we need to compare it to kilograms, so we're going to convert 25 ounces to kilograms, so we're going to use a conversion factor we know that 1 pound equals 16 ounces we learned that back in fifth grade so 25 ounces we're going to set that up with the ounces diagonal to the ounces on the bottom of the fraction so that those cancel out and that's our first step, so we cancel those out, and then we can multiply, and so we have they've sort of mushed the steps together here, so we have that cancelling out but then in the next step you're also...

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